By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.
How many coops does Carissa need to scoop out in each case?
First, we know that the sink has a volume V = (2000/3)*pi in^3
A) First she uses a cone of a diameter of 4 in and a height of 8 in.
Remember that the volume of a cone of diameter D and height H is:
V = pi*(D/2)^2*H/3
Then this cone has a volume of:
V' = (pi/3)*(4in/2)^2*8in = (pi/3) 32 in^3
The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:
Rounding it, we get 63, so she needs to scoop 63 times.
B) This time the diameter is 8 in and the height 8 in, so the volume of the cone is:
V'' = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3
This time, she needs to scoop:
Rounding to the next number we get 16, she needs to scoop 16 times.
So yes, both of your answers are correct.
l be beneficial both in school and in other parts of your life.[1]
Answer:
Step-by-step explanation:
To determine how many conical cups of water Carissa must scoop out of the half-sphere sink to empty it, divide the volume of the sink by the volume of each cup.
[tex]\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
To determine the volume of conical cup 1 (in terms of π) given it has a diameter of 6 in and a height of 14 in, substitute r = 3 and h = 14 into the volume of a cone formula:
[tex]\begin{aligned}\implies V_{\sf cup\:1}&=\dfrac{1}{3} \pi (3)^2(14)\\\\&=\dfrac{1}{3} \pi (9)(14)\\\\&=\dfrac{126}{3} \pi\\\\&=42 \pi\;\sf in^3\end{aligned}[/tex]
Divide the given volume of the sink by the volume of conical cup 1 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.
[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 42 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{42 \pi}\\\\ &=\dfrac{4500 \pi}{126 \pi}\\\\&=\dfrac{4500}{126}\\\\&=35.7142867...\\\\&=36\;\sf(nearest\;whole\;number)\end{aligned}[/tex]
Therefore, Carissa must scoop out 36 cups of water to empty the sink.
To determine the volume of conical cup 2 (in terms of π) given it has a diameter of 10 in and a height of 12 in, substitute r = 5 and h = 12 into the volume of a cone formula:
[tex]\begin{aligned}\implies V_{\sf cup\:2}&=\dfrac{1}{3} \pi (5)^2(12)\\\\&=\dfrac{1}{3} \pi (25)(12)\\\\&=\dfrac{300}{3} \pi\\\\&=100\pi\;\sf in^3\end{aligned}[/tex]
Divide the given volume of the sink by the volume of conical cup 2 to calculate the number of cups of water Carissa must scoop out of the sink to empty it.
[tex]\begin{aligned}\implies \dfrac{4500}{3}\pi \div 100 \pi &=\dfrac{4500}{3}\pi \times \dfrac{1}{100 \pi}\\\\ &=\dfrac{4500 \pi}{300\pi}\\\\&=\dfrac{4500}{300}\\\\&=15\end{aligned}[/tex]
Therefore, Carissa must scoop out 15 cups of water to empty the sink.
To the nearest tenth of a mile per hour, what is the pontoon's average speed in still water?
Responses
A.4.0 miles per hour
B.5.0 miles per hour
C.5.2 miles per hour
D.5.7 miles per hour
Answer:
Step-by-step explanation:
We can use the formula:
average speed = (speed downstream + speed upstream) / 2
We are given the speed downstream is 8 miles per hour and the speed upstream is 2 miles per hour. Therefore,
average speed = (8 + 2) / 2 = 5 miles per hour
So the answer is (B) 5.0 miles per hour to the nearest tenth.
The demand equation for a certain product is given by p = 128 − 0.04 x , where p is the unit price (in dollars) of the product and x is the number of units produced. The total revenue obtained by producing and selling x units is given by R = x p . Determine prices p that would yield a revenue of 7840 dollars. Lowest such price = dollars Highest such price = dollars
So the lowest price that yields a revenue of $7840 is $32 and the highest price is $64.
What constitutes the basic unit of a number?The first ten integers are the basic numbers in mathematics. The range of these vital values is 0 to 9. Basic integers in the 0 to 9 range include 0 through 1, 2, 3, 4, 5, 6, 7 and 8.
The total revenue from selling x units is given by:
R = xp
Substituting the demand equation p = 128 - 0.04x, we get:
R = x(128 - 0.04x)
R = 128x - 0.04x²
To find the prices that yield a revenue of $7840, we can set R equal to 7840 and solve for x:
7840 = 128x - 0.04x²
0.04x² - 128x + 7840 = 0
Dividing both sides by 0.04, we get:
x² - 3200x + 196000 = 0
Using the quadratic formula, we can solve for x:
x = [3200 ± √(3200² - 4(1)(196000))] / 2
x = [3200 ± √(10240000)] / 2
x = [3200 ± 3200] / 2
x = 1600 or x = 2400
Therefore, the corresponding prices that yield a revenue of $7840 are:
p = 128 - 0.04x
p = 128 - 0.04(1600) = 64 dollars
p = 128 - 0.04(2400) = 32 dollars
So the lowest price that yields a revenue of $7840 is $32 and the highest price is $64.
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A pet groomer gave 9 baths, 15 nail trims, 8 brush-outs, and 5ear cleanings.
For every 5nail trims, the groomer gave 3
.
Answer:
Step-by-step explanation:
Here are the step-by-step instructions to find the number of ear cleanings that the groomer gave:
Start with the given number of nail trims, which is 15.
Divide the number of nail trims by 5 to find out how many groups of 5 nail trims there are. This gives us: 15 ÷ 5 = 3.
Multiply the number of groups of 5 nail trims by the corresponding ratio of ear cleanings per 5 nail trims, which is 3. This gives us: 3 × 3 = 9.
This means that for every 5 nail trims, the groomer gave 3 ear cleanings, and since the groomer gave 15 nail trims, they gave 9 ear cleanings in total.
So, the pet groomer gave 9 ear cleanings in total.
Answer:
We can start by setting up a ratio of the number of fruit skewers made to the number of liters of milkshake made:
fruit skewers : milkshake = 202020 : 444
Simplifying this ratio by dividing both sides by 444, we get:
fruit skewers : milkshake = 455 : 1
This means that for every 1 liter of milkshake made, Atilio makes 455 fruit skewers. Therefore, if Atilio makes 202020 liters of milkshake, they would make:
202020 x 455 = 91919100
So, Atilio would make 91919100 fruit skewers for the party.
Step-by-step explanation:
5 cm
3 cm
7 cm
area in a trapezium and it’s annoying me
A customer at a Mexican diner placed an order for burrito
bowls at $6.50 each. The customer also ordered a plate
of corn tacos at $12.96 and was billed a total of $32.46.
How many burrito bowls did the customer order?
Answer:
x=3
Step-by-step explanation:
Let's assume that the customer ordered x burrito bowls.
The cost of x burrito bowls at $6.50 each is 6.50x.
The cost of the plate of corn tacos is $12.96.
The total cost of the order is $32.46.
So we can set up the equation:
6.50x + 12.96 = 32.46
Subtracting 12.96 from both sides, we get:
6.50x = 19.50
Dividing both sides by 6.50, we get:
x = 3
Therefore, the customer ordered 3 burrito bowls.
Bank an offers a 3 year cd at 3% simple interest bank b offers a 3 year cd earning 2.5% interest compounded monthly. If $12,000 is to be invested for the 3 years which banks CD will earn the greater amount of interest and how much greater
Bank A's CD would earn a greater amount of interest than Bank B's CD.
The interest is greater by $369.91
Calculating which bank's CD will earn greater amount of interestTo determine which CD will earn the greater amount of interest, we can calculate the interest earned by each CD over the 3-year period.
For Bank A's CD, the interest earned would be:
I = P * r * t
I = $12,000 * 0.03 * 3
I = $1,080
For Bank B's CD, the interest earned would be:
A = P * (1 + r/n)^(nt)
A = $12,000 * (1 + 0.025/12)^(123)
A = $12,710.09
The interest earned on Bank B's CD would be the difference between the total amount earned and the original principal:
I = A - P
I = $12,710.09 - $12,000
I = $710.09
Hence, Bank A's CD would earn a greater amount of interest
The interest is greater by
$1,080 - $710.09
= $369.91
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A shop employs one man and one woman as shop assistants. The man works for 10 hours per day and the woman for 8 hours per day, and their wages per hour are in the ratio 7:5. If the woman receives $24 per day, find the man's daily wage.
The man's daily wage is given as follows:
$42.
How to obtain the man's daily wage?The wages are obtained applying the proportions in the context of the problem.
The woman receives $24 for 8 hours of work, hence her hourly wage is given as follows:
24/8 = $3 per hour.
(Hourly wage = Total wages/total hours).
Their wages per hour are in the ratio 7:5, hence the man's hourly wage is obtained multiplying the woman's hourly wage by 7/5, hence:
7/5 x 3 = 21/5 = $4.2 per hour.
The man works 10 hours a day, hence the daily wage is given as follows, multiplying the hourly wage by 10:
10 x 4.2 = $42.
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WILL GIVE BRAINLIST
Question
How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose...
units. The width of the rectangle is
Choose...
units. The area of the rectangle is
Choose...
square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose...
square units.
the length of the rectangle is 9 units
the width of the rectangle is 2 units
the area of the rectangle is 18 square units
the area of the triangle is 9 square units
to find the length and width just count the number of units along the bottom and along the side. To find the area of the rectangle, do the length times the width. To find the area of the triangle divide the area of the rectangle by 2
Ms. Curtis Basham grows pears and plums on her
urban homestead. Two years ago she gathered 40
pounds of pears and 12 pounds of plums. The next
year the
pears declined by 25% and the plums
declined by 20%. By what percentage did the total
yield, by weight, of her fruit harvest decline?
A. 22.5%
B. 24%
C. 45%
D. 76%
The percentage did the total yield, by weight, of her fruit harvest declined by approximately 24%, which is option B.
what is percentage ?
Percentage is a way of expressing a number or quantity as a fraction of 100. It is often denoted by the symbol % (percent). For example, 50% means 50 out of 100, or 50/100, or the equivalent fraction 1/2.
Percentages are commonly used in many real-world situations, such as in finance, statistics, and everyday life. They are often used to express changes, differences, or ratios between two values.
According to the question:
To solve this problem, we need to calculate the total weight of fruit harvested in the first year and the total weight of fruit harvested in the second year, and then calculate the percentage decline.
Total weight of fruit harvested in the first year = 40 + 12 = 52 pounds
After a 25% decline, the weight of pears in the second year = 40 - 0.25(40) = 30 pounds
After a 20% decline, the weight of plums in the second year = 12 - 0.20(12) = 9.6 pounds
Total weight of fruit harvested in the second year = 30 + 9.6 = 39.6 pounds
Percentage decline in the total yield of fruit harvest = [(52 - 39.6)/52] x 100% = 23.8%
Therefore, the answer is approximately 24%, which is option B.
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9. To purchase a new MP3 player Rosa must save at least $85, which inequality represents
the amount of money, m, Rosa must save?
A m≤ 85
B m < 85
C m≥ 85
D m> 85
Answer:
Rosa must save at least $85 to purchase a new MP3 player.
The word "at least" indicates that the amount Rosa needs to save is not less than $85, but it could be more than $85.
Therefore, the inequality that represents the amount of money Rosa must save is:
C) m ≥ 85
This is because the amount Rosa saves, represented by "m", must be greater than or equal to $85 in order to afford the MP3 player.
I NEED HELP RIGHT NOW!!!!!!
For the triangle shown, what are the values of x and y?
a 30-60-90 triangle with a long leg length of 6, a short leg length of x, and a hypotenuse length of y
As a consequence, in a triangle with angles 30-60-90 and legs 6 long and x short, x is equal to 2√3 and y is equal to 12.
what is triangle ?Three-sided polygons, which are closed plane figures with straight edges, include triangles. One of the most fundamental and significant geometric and mathematical shapes, triangles have a wide range of useful characteristics and applications. Typically, a, b, and c are used to denote the triangle's three edges, and A, B, and C are used to denote the triangle's three angles. A triangle's inner angles are always added up to 180 degrees.
given
The percentage of the side lengths in a triangle with sides of 30-60-90 is:
Hypotenuse Means 1: Long leg: Short leg: 3: 2
In this quadrilateral, we have the following:
Hypotenuse = y; short limb = x; long leg = 6.
With the number mentioned above, we can write:
x : 6 : y = 1 : √3 : 2
For x and y, we can use cross-multiplication to get the following result:
x/1 = 6/√3
y/2 = 6/1
When we simplify these formulae, we obtain:
x = 6/√3 = 2√3
y = 12
As a consequence, in a triangle with angles 30-60-90 and legs 6 long and x short, x is equal to 2√3 and y is equal to 12.
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Coffee at $12 per kg is mixed with coffee at $16 per kg in the ratio of 1: 3. What is the cost of one kg of the mixture?
Using the given ratio we will see that each kilogram costs 15 dollars.
What is the cost of one kg of the mixture?We know that coffee at $12 per kg is mixed with coffee at $16 per kg in the ratio of 1: 3.
Then we have 4 kilograms, and the total cost of these 4 kg is:
1*$12 + 3*$16 = $60
Dividing that between the 4 kilograms:
$60/4 = $15
Each kilogram costs 15 dollars.
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A circular walking path is modeled by (x + 3)2 + (y − 4)2 = 64, where all measurements are in meters. Center at (−3, 4); r = 8 Center at (−3, 4); r = 64 Center at (3, −4); r = 8 Center at (3, −4); r = 64
To find the circle with center (3, -4) and radius 64, we again replace 64 with 64² in the equation, and get:
(x - 3)² + (y + 4)² = 4096
What would be a circular example?Several everyday items, such as turning ceiling fans, turning car wheels, spinning windmill blades, and turning gas turbine gears, exhibit circular motion. Another is an earth-orbiting satellite that was built by people.
The equation (x + 3)² + (y - 4)² = 64 represents a circle with center (-3, 4) and radius 8.
To find the circle with center (-3, 4) and radius 64, we replace 64 with 64² in the equation and get:
(x + 3)² + (y - 4)² = 4096
This circle has center (-3, 4) and radius 64.
To find the circle with center (3, -4) and radius 8, we replace (x + 3) with (x - 3) and (y - 4) with (y + 4) in the equation, and get:
(x - 3)² + (y + 4)² = 64
This circle has center (3, -4) and radius 8.
To find the circle with center (3, -4) and radius 64, we again replace 64 with 64² in the equation, and get:
(x - 3)² + (y + 4)² = 4096
This circle has center (3, -4) and radius 64.
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A class has 34 students. In how many different ways can five students form a group for an activity?
Therefore, there are 278,256 different ways for 5 students to form a group from a class of 34 students.
A math factorial has what meaning?Factorial, followed by an exclamation point, is the sum of all positive integers that are less than or equal to a specific positive integer in mathematics. Factorial seven is therefore represented by the symbol 7!, which is made up of the letters 1 2 3 4 5 and 7. By definition, factororial 0 is equal to 1.
The number of ways to form a group of 5 students out of a class of 34 students can be calculated using the combination formula:
C(34, 5) = 34! / (5! (34-5)!) = (34 × 33 × 32 × 31 × 30) / (5 × 4 × 3 × 2 × 1) = 278,256.
Therefore, there are 278,256 different ways for 5 students to form a group from a class of 34 students.
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Contrast arguments- Trip has 15 coins worth 95 cents. Four of the coins are each worth twice as much as the rest. Construct a math argument to justify the conjecture that Trip has 11 nickels and 4 dimes
Answer:
Step-by-step explanation:
To start, let's use algebra to set up some equations based on the information we have. We know that Trip has a total of 15 coins and their total value is 95 cents. Let's call the number of nickels Trip has "n" and the number of dimes "d". Then we can write:
n + d = 15 (since Trip has a total of 15 coins)
0.05n + 0.1d = 0.95 (since the total value of the coins is 95 cents)
Next, we know that four of the coins are each worth twice as much as the rest. Let's call the value of the "rest" coins "x". Then the value of the four coins that are worth twice as much is 2x. We can set up an equation based on the total value of the coins using these values:
4(2x) + 11x = 95
Simplifying this equation, we get:
19x = 95
x = 5
Now we know that each of the "rest" coins is worth 5 cents. We can substitute this value into the equation for the total value of the coins to get:
4(2*5) + 11(5) = 95
Simplifying this equation, we get:
40 + 55 = 95
So our values for n and d are correct: Trip has 11 nickels and 4 dimes.
To justify this argument, we can use a proof by contradiction. Suppose that Trip had a different number of nickels or dimes. If Trip had more than 11 nickels, then the total value of the nickels alone would be greater than 55 cents, which is impossible since the total value of all the coins is only 95 cents. Similarly, if Trip had more than 4 dimes, then the total value of the dimes alone would be greater than 40 cents, which is also impossible. Therefore, Trip must have exactly 11 nickels and 4 dimes, and our argument is justified.
What is the slope of the line with the equation
y = -x+4
―
2
Answer:
Below
Step-by-step explanation:
Slope,m, is the 'x' coefficient = -1 for this line y = -x+4-2
(1/2 + a) (1/2-a)
help!!!
Answer:
[tex]( \frac{1}{2} + a) {}^{2} [/tex]
Step-by-step explanation:
There's your answer
What is the like term for 4x?
Answer:
The answer could be any number, with the variable x (not x^2, x^3, x^#). So it can be, for example, 6x, 8x, 109x, etc., as long as the variable is the same in each number.
Problem 1: Mrs. Conrath bought
9 packages of lead pencils for
her classroom. Each package has
8 lead pencils. How many lead
pencils did she buy?
Problem 2: Mrs. Conrath saved
25 lead pencils for the Math Club.
How many lead pencils were
used for her classroom?
Does singing to plants help them grow? You decide to test the effectiveness of your singing prowess on plant growth by singing to six different plants each day for 3 months (it would seem you have nothing better to do with your time). You start each plant with a seed and then count the number of leaves produced at the end of the 3 months. You data looks like this: 1, 2, 4, 5, 7, 11 1.
1. What scale of measurement was used by the researcher?
2. Calculate the mean, median, mode.
3. Calculate the range, variance and standard deviation for the data set using the formula for sample variance and SD.
4. Based on your sample, what is the number of leaves associated with +2SD?
5. What number of leaves are associated with 68% of the sample?
Answer:
The scale of measurement used by the researcher is interval scale as the data is continuous and there are equal intervals between the values.
Mean = (1+2+4+5+7+11)/6 = 5
Median = (4+5)/2 = 4.5
Mode = There is no mode in the data set as none of the numbers are repeated.
Range = maximum value - minimum value = 11 - 1 = 10
Sample Variance = ((1-5)^2 + (2-5)^2 + (4-5)^2 + (5-5)^2 + (7-5)^2 + (11-5)^2)/(6-1) = 14.67
Standard Deviation = sqrt(sample variance) = sqrt(14.67) = 3.83
Mean + 2SD = 5 + 2*3.83 = 12.66, rounded to the nearest integer = 13.
According to the Empirical Rule, 68% of the sample lies within 1 standard deviation of the mean. Therefore, we need to find the values that are 1 standard deviation away from the mean:
Lower limit = Mean - SD = 5 - 3.83 = 1.17, rounded to the nearest integer = 1.
Upper limit = Mean + SD = 5 + 3.83 = 8.83, rounded to the nearest integer = 9.
So the number of leaves associated with 68% of the sample is between 1 and 9.
Step-by-step explanation:
the domain of discourse is set of male patients in a clinical study. define the following predicates: p(x): x was given the placebo
(a) One patient did not receive the medication.
(b) One patient did not get either the medicine or the placebo.
(c) None of the patients took the drug or experienced migraines (or both).
(d) One patient who received a placebo experienced no migraines.
what is variable?A variable in algebra is an alphabet that is used to symbolize the unknowable integer. It stands in for the value. An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.
from the question:
(a)
Logical expression: ∀x D(x)
Negation: ¬(∀x D(x))
Applying De Morgan's law: ∃x ¬D(x)
One patient did not receive the medication.
(b)
Logical expression: ∀x (D(x) ∨ P(x))
Negation: ¬(∀x (D(x) ∨ P(x)))
Applying De Morgan's law: ∃x ¬(D(x) ∨ P(x))
Applying De Morgan's law: ∃x (¬D(x) ∧ ¬P(x))
One patient did not get either the medicine or the placebo.
(c)
Logical expression: ∃x (D(x) ∧ M(x))
Negation: ¬∃x (D(x) ∧ M(x))
Applying De Morgan's law: ∀x ¬(D(x) ∧ M(x))
Applying De Morgan's law: ∀x (¬D(x) ∨ ¬M(x))
None of the patients took the drug or experienced migraines (or both)
(d)
Logical expression: ∀x (P(x) → M(x))
Using the conditional identity: ∀x (¬P(x) ∨ M(x))
Negation: ¬∀x (¬P(x) ∨ M(x))
Applying De Morgan's law: ∃x ¬(¬P(x) ∨ M(x))
Applying De Morgan's law: ∃x (P(x) ∧ ¬M(x))
One patient who received a placebo experienced no migraines.
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complete question;
In the following question, the domain of discourse is a set of male patients in a clinical study. Define the following predicates:
P(x): x was given the placebo
D(x): x was given the medication
M(x): x had migraines
Translate each statement into a logical expression. Then negate the expression by adding a negation operation to the beginning of the expression. Apply De Morgan's law until each negation operation applies directly to a predicate and then translate the logical expression back into English.
Sample question: Some patient was given the placebo and the medication.
∃x (P(x) ∧ D(x))
Negation: ¬∃x (P(x) ∧ D(x))
Applying De Morgan's law: ∀x (¬P(x) ∨ ¬D(x))
English: Every patient was either not given the placebo or not given the medication (or both).
(a)Every patient was given the medication.
(b)Every patient was given the medication or the placebo or both.
(c)There is a patient who took the medication and had migraines.
(d)Every patient who took the placebo had migraines. (Hint: you will need to apply the conditional identity, p → q ≡ ¬p ∨ q.)
You are interested in buying a car that costs $10,000. The bank offers you an installment loan
with an interest rate of 17% over a 60-month term. What do you expect your monthly payments
to be? How much will you pay in total? How much will you pay in interest?
The monthly payments are $248.53.
The total amount that he will pay $14911.8.
The amount of interest is $4911.8
What is the interest rate?
The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
The formula of monthly payment is
P = [tex]\frac{r (PV)}{1-(1-r)^{-n}}[/tex]
r is the rate of interest.
PV is the present value
n is the number of terms.
The bank offers you an installment loan with an interest rate of 17% over a 60-month term. The cost of the car is $10,000.
PV = $10,000
n = 60
r = 17%/12 = 0.17/12
The monthly installment is
P = [tex]\frac{ \frac{0.17}{12}\times 10000}{1-(1- \frac{0.17}{12})^{-60}}[/tex]
P = 248.53
The monthly installment is $248.53.
Total payment is (60 ×$248.53) = $14911.8
The interest is $(14911.8 - 10000) = $4911.8
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The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year.
P = $590, r = 3%, t = 2 years
By answering the above question, we may state that As a result, $35.40 interest in simple interest is due for the use of the funds.
what is interest ?Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to compute interest. The most typical technique to figure out interest is as a portion of the principle sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.
For simple interest, use the formula:
I = P * r * t
where I represents the amount of interest payable, P the amount borrowed, r the interest rate, and t the length of time in years.
Inputting the values provided yields:
I = $590 * 0.03 * 2
I = $35.40
As a result, $35.40 in simple interest is due for the use of the funds.
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Evaluate the expression 1/3x2 For x=6
The solution of the evaluated expression, 1 / 3 x² for x = 6 is 12.
How to evaluate an expression?An expression is a combination of numbers, variables and operations such as addition, subtraction, multiplication, division etc.
To evaluate an expression means to find the value of the expression when the variable is replaced by a given number.
Therefore, let's evaluate the expression as follows:
1 / 3 x² for x = 6
Hence, let's substitute the value of x in the expression.
1 / 3 (6)² = 1 / 3 (36) = 12
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conver 121 pounds into kilograms use 1kg=2.2Ib
round you answer to nearest tenth
Answer:
55 KG
Step-by-step explanation:
To convert pounds to kilograms, we can use the conversion factor 1 kg = 2.2 lbs.So,121 lbs = (121 lbs) * (1 kg/2.2 lbs)Simplifying the expression, we have121 lbs ≈ 55.0 kgRounding to the nearest tenth, we get the final answer:121 lbs ≈ 55.0 kg
Answer:
To convert 121 pounds into kilograms, we can use the conversion factor:
1 kg = 2.2 lb
Dividing both sides of this equation by 2.2, we get:
1 lb = 0.454545 kg (rounded to the nearest tenth, this is 0.5 kg)
Therefore, we can convert 121 pounds to kilograms by multiplying by 0.454545:
121 lb * 0.454545 kg/lb = 54.884545 kg
Rounding this to the nearest tenth gives:
54.9 kg
Therefore, 121 pounds is approximately equal to 54.9 kilograms when rounded to the nearest tenth.
2.
The x-intercept is where:
The graph crosses the x-axis
Aaron Rodgers throws interceptions
The graph crosses the y-axis
The x-axis and y-axis intersect
intercept - means to cross through
answer = a - the graph crosses the x=axis
I swear mom write the ratio in lowest terms in order to decide whether the proportion is true or false 100/210 = 290/340
False, the given two proportions are not equal.
What are ratios and proportions?In this section, the terms ratio and percentage are defined. Both ideas play a significant role in mathematics. Many examples where the notion of the ratio is highlighted may be found in daily life, such as the rate of speed (distance/time) or price (rupees/meter) of a substance.
An equation known as proportion shows that the two ratios presented are equal to one another.
The two given proportions are:
100/210 = 290/340
Simplifying the two we have:
100/210 = 10/21
290/340 = 29/34
We see that the simplified form of the two proportions are different.
Hence, False, the two proportions are not equal.
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How do you break apart a number line to place numbers ?
Your number line can be broken apart by using a measuring thing like a scale.
What is a number line?
By aligning the numbers on a line, a number line allows you to visualize the size of the numbers. Typically horizontal in shape, a number line has zero in the center. The numbers are increasing and positive as you move to the right. The numbers rise and become more and more negative as you move to the left.
Why do we need a number line?
Number lines offer a method for mentally adding and subtracting. It's simple to imagine them as a type of support system for those in need, but this is untrue. These are crucial because they encourage effective mental arithmetic techniques, according to research.
So by using a scale you can measure the distance accurately and place the numbers in accurate positions.
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question is in the picture
Once he has completed the table for his game room, Cameron decides to make corner shelves from left-over triangular boards. The side lengths of the boards are 18 inches, 18 inches, and 24 inches.
can cameron use the boards as they are for his corner shelves? explain
Cameron can use the boards as they are for his corner shelves.
How to determine the use of a triangular board?To determine if the triangular boards can be used for Cameron's corner shelves, check if they satisfy the condition for the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's check each combination of sides:
18 inches + 18 inches = 36 inches > 24 inches (satisfied)
18 inches + 24 inches = 42 inches > 18 inches (satisfied)
18 inches + 24 inches = 42 inches > 18 inches (satisfied)
Therefore, all three combinations of sides satisfy the triangle inequality theorem, and the triangular boards can be used for Cameron's corner shelves.
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