The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.
What is money factor?It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.
Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.
The annual percentage rate(APR) = 8%
We know the formula for finding the money factor is given by:
[tex]\rm Money \ factor = \frac{APR}{2400}[/tex]
[tex]\rm Money \ factor = \frac{8}{2400}[/tex]
Money factor = 0.00333
Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.
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IDΚ, help, what's the value of x,
8x-2=-9+7x
Answer:
x = -7
Step-by-step explanation:
8x - 2 = -9 +7x
in this type of problem you have to get all the X's together on one side, and all the common variables together on the other.
8x = -7 + 7x (you add 2 to boths sides. The -2 and 2 clear out on the left side. The 2 and -9 added together forms -7 on the right)
x = -7 (you subtract 7x from both sides. The 7x and -7x cancel out on the right and you are left with on 1 x on the left side)
Answer:
x = -7Step-by-step explanation:
In this question we have given an equation that is 8x - 2 = -9 + 7x . And we're aksed to find the value of x .
Solution : -
[tex] \longmapsto \qquad \: 8x - 2 = -9 + 7x[/tex]
Step 1 : Adding 2 to both sides :
[tex] \longmapsto \qquad \:8x - \cancel{ 2} + \cancel{ 2} = - 9 + 7x+2[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \:8x =7x - 7[/tex]
Step 2 : Subtracting 7x on both sides :
[tex] \longmapsto \qquad \:8x - 7x = \cancel{7x} - 7 - \cancel{7x}[/tex]
On further calculations, we get :
[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = - 7}}}}[/tex]
Henceforth , value of x is - 7 .Verifying : -
Now ww are verifying our answer by substituting value of x in given equation . So ,
8x - 2 = -9 + 7x8 ( -7 ) - 2 = -9 + 7 ( -7 )-56 - 2 = -9 - 49-58 = -58L.H.S = R.H.SHence, Verified.Therefore, our answer is correct .
#Keep Learningwhat is the absolute value of 18.5
Answer:
18.5
Step-by-step explanation:
the pathway of sams dive into the swimming pool can be represented by the equation h=-16t²+15t+12 (where t=time in seconds and h = height in feet). what is sam's height after 2 seconds?
Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the data in the question
Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.Time t = 2.0 secondsHeight h = ?Now, to get the height after 2 seconds, we substitute 2 for t in the equation.
h = -16t² + 15t + 12.
If t = 2
h = -16(2)² + 15(2) + 12
h = -16(4) + 30 + 12
h = -64 + 30 + 12
h = -64 + 42
h = -22ft
Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
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You randomly draw a marble from a bag of marbles that contains 333 blue marbles, 444 green marbles, and 555 red marbles. What is \text{P(draw a blue marble})P(draw a blue marble)start text, P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis?
If necessary, round your answer to 222 decimal places
Work Shown:
3 blue
3+4+5 = 12 total
3/12 = 1/4 = 0.25
Answer: As a fraction it would be 333/ 1,332 and as a decimal it would be 0.25.
Step-by-step explanation:
1. you add all of the marbles and then you would get 1,332
2. there are 333 blue marbles, so it would be 333/1,332
3. if you want it in decimal form it will be 0.25 if you round that to the nearst tenth it would be 0.3.
4. if you want it in fraction form it will be 333/1,332
I hope this is right. Good luck !.PLS ANSWER FAST!! WILL GIVE BRAINLIEST!! 15 POINTS!!!
Answer:
b, d
Step-by-step explanation:
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches. Enter the area of the shelf, in square inches. Round your answer to the nearest hundredth.
I Have M-step tomorrow
The area of the quarter circle is equal to one-fourth area of the circle. Then the area of the quarter circle is 86.59 square inches.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A corner shelf is 1/4 of a circle and has a radius of 10.5 inches.
Then the area of the quarter circle will be
[tex]\rm Area = \dfrac{\pi r^2}{4}\\\\\rm Area = \dfrac{\pi \times 10.5^2}{4}\\\\\rm Area = \dfrac{\pi \times 110.25}{4}\\\\\rm Area = \dfrac{346.36}{4}\\\\\rm Area = 86.59 \ \ in^2[/tex]
The area of the quarter circle is 86.59 square inches.
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Liam surveyed the gas prices in 5 different cities. The prices were:
$2.00 ,$3.00 ,$4.00 ,$5.00 ,$4.00
What was the mode of the gas prices?
Answer:
4.00
Step-by-step explanation:
mode is the number that accurse the most
Answer:
above is correct.
Step-by-step explanation:
What is the zero of
q(x) = -7/3x + 14?
Answer:
x = 6
Step-by-step explanation:
Solve for x:
-(7 x)/3 + 14 = 0
Put each term in -(7 x)/3 + 14 over the common denominator 3: -(7 x)/3 + 14 = -(7 x)/3 + 42/3:
(-(7 x)/3 + 42/3) = 0
-(7 x)/3 + 42/3 = (-7 x + 42)/3:
((-7 x + 42)/3) = 0
Multiply both sides of (-7 x + 42)/3 = 0 by 3:
(3 (-7 x + 42))/3 = 3×0
(3 (-7 x + 42))/3 = 3/3×(-7 x + 42) = -7 x + 42:
(-7 x + 42) = 3×0
0×3 = 0:
-7 x + 42 = 0
Subtract 42 from both sides:
(42 - 42) - 7 x = -42
42 - 42 = 0:
-7 x = -42
Divide both sides of -7 x = -42 by -7:
(-7 x)/(-7) = (-42)/(-7)
(-7)/(-7) = 1:
x = (-42)/(-7)
The gcd of 42 and -7 is 7, so (-42)/(-7) = (-(7×6))/(7 (-1)) = 7/7×(-6)/(-1) = (-6)/(-1):
x = (-6)/(-1)
(-6)/(-1) = (-1)/(-1)×6 = 6:
Answer: x = 6
If you know the right answer then help me solve this.
Answer:
False. You can also find the area if you know the diameter or radius of the circle.
Step-by-step explanation:
If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters
Answer:
Length=22cm Width=18cm
Step-by-step explanation:
1. 2 x 22 = 44
2. 2 x 18 = 36
3. 44 + 36 = 80
4. Perimeter = 80cm
hi anyone can help me? please help me:)
if x-2y=10 and y is three times the value of x, what is the value of x-y ?
Answer:
3x = y
x - 2(3x) = 10
x- 6x = 10
-5x = 10
x = -2
3x = y
3(-2) = y
y = -6
x is -2 and y is -6.
The maximum load that a cylindrical column with a circular cross section
can hold varies directly as the fourth power of the diameter and
inversely as the square of the height. A 9 meter column 2 meters in
diameter will support 64 metric tons. How many metric tons can be
supported by a column 9 meters high and 3 meters in diameter?
Answer:
2396
Step-by-step explanation:
Let the diameter = d
Let the height = h
Formula
Metric Tons = k * d^4 / h^2
Solution
Metric Tons = 64
d = 2
h = 9
k = ?
(You can't do the second part by not using a ratio unless you put k in and solve for it)
64 = 2^4 k / 9^2
64 = 8 *k / 81
64 * 81 / 8 = k
5184 / 8 = k
k = 648
Solve for the second example
Metric Tons = d^4 * k / h^2
Metric Tons = ?
d = 5
h = 13
k = 648
Metric Tons = 5^4 * 648 / 13^2
Metric Tons = 625 * 648 / 169
Metric Tons = 2396 rounded.
What is the interquartile range of this data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45} enter the answer in the box.
The interquartile range (IQR) of the given data set, is: upper quartile (Q3) - lower quartile (Q1) = 15.
What is the Interquartile Range (IQR) of a Data Set?The interquartile range (IQR) of a data set = upper quartile (Q3) - lower quartile (Q1).
Given the data set, {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}:
Upper quartile = 60
Lower quartile = 45
IQR = 60 - 45 = 15
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Find the area of the figure below.
Answer:
42
Step-by-step explanation:
For the square 6 x 5 = 30
For the triangle 6 x 4 x 1/2 = 12
or 6 x 4 ÷ 2 = 12
add them both 12 + 30 = 42
Ms. Jaylen's plant grew over the weekend! Saturday it grew two thirds (fractions) of an inch and Sunday it grew one third of an inch. How much did Ms. Jaylen's plant grow over the weekend?
Answer:
3 inchies
Step-by-step explanation:
Please help me!! I need this for school and it’s due soon
In parallelogram ABCD, m∠B = 3x+ 45 and m∠D = 5x+ 23. Find m∠C
Answer: 102 degrees
Step-by-step explanation:
Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?
Answer:
The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
Step-by-step explanation:
1. Let's check all the information given to answer this question correctly:
Rate of each piano lesson Blake gives = US$ 20
Blake can give between 0 and 6 lessons every evening
Earnings = Number of lessons * Rate of each lesson
2. What is the range of this relation?
Let's recall that the domain of a relation is the set of all values for which the relation is defined, and the range of the relation is the set of all values that the relation takes.
It means that the domain of the relation in this case is the number of lessons that Blake can give every evening:
{0, 1, 2, 3, 4, 5, 6}
And the range of this relation is the amount Blake earns in an evening depending on the number of lessons he gives:
{0, 20, 40, 60, 80, 100, 120}
The correct answer is B. {0, 20, 40, 60, 80, 100, 120}
Under his cell phone plan, Ryan pays a flat cost of $68.50 per month and $5 per gigabyte. He wants to keep his bill at $92.50 per month. How many gigabytes of data can he use while staying within his budget?
Answer:
answer is 5.7
Step-by-step explanation:
Under Ryan's cell phone plan, he pays a flat cost of $68.50 per month and $5 per gigabyte. With a budget of $92.50, he can use up to 4 gigabytes of data.
Use the concept of subtraction defined as:
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that,
Ryan's flat cost per month is $68.50.
He pays $5 per gigabyte of data.
Ryan wants to keep his bill at $92.50 per month.
We know that Ryan pays a flat cost of $68.50 per month,
so subtract that from his budget:
$92.50 - $68.50 = $24.
Since Ryan pays $5 per gigabyte,
Divide the remaining budget ($24) by the cost per gigabyte ($5) to find out how many gigabytes he can use:
$24 / $5 = 4.8 gigabytes.
Therefore,
Ryan can use up to 4.8 gigabytes of data and still stay within his budget. Keep in mind that any fraction of a gigabyte will be rounded down,
So he can use a maximum of 4 gigabytes.
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please i need some help on this question
Answer:
1) For 3 tickets, the cost is $12
2) For 5 tickets, the cost is $20
3) $28 can purchase 7 tickets
4) For 10 tickets, the cost is $40
Step-by-step explanation:
1) For 3 tickets
8 = 2
x = 3
(8 ÷ x) = (2 ÷ 3)
Cross multiply,
2x = 8 x 3
2x = 24
x = 24 ÷ 2
x = $12
Use the same principle for the other questions. Use X (or any other variable) to represent the missing value, I e. the value you are calculating.
I hope this helps.
Stuart bought a sweater on sale for 30% discount off the original price and another 25% off the discounted price . If the original price of the sweater was 600 , what was the final price of a sweater?.
Answer:
$301.50
Step-by-step explanation:
Given that:
Stuart brought a sweater on sale for 30% discount off.
Another 25% discount off
Original price = 600
To Find:
What was the final price of a sweater?
Solve:
$600 x 30% = $180
$600 - $180 = $402 (discounted price after 30% off)
$402 x 25% = $100.50
$402-100.50 = $301.50 (discounted price after 25% off & the final price)
Hence, the final price is $301.50
Kavinsky
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Let's take this step-by-step:
Part (a)The mathematical name of this shape is a right trapezoid
⇒ It is a trapezoid since the image shows a quadrilateral that
has two parallel sides and two non-parallel sides. It is a right
trapezoid because it has two rights angles
Part (b)The cube has 6 faces
⇒ faces are the individual flat surfaces of an object
⇒by looking at a picture of a cube, we see it has 6 sides
⇒ (I attached an image of a cube below)
Hope that helps!
2) Find f-1(x) where f(x) = 3x/x+4
5. Renee's baby sister weighs 7 pounds 2 ounces. How many ounces does her sister weigh?
6. Answer true or false for the following statements. If the statement is false, change the right side of the comparison to make it true.
a. 4 kilograms < 4,100 grams
b. 10 yards < 360 inches
c. 10 liters = 100,000 milliliters
375 x 22
What is the answer and how do we get it
Answer:
375x22= 8,250
Step-by-step explanation:
use a calculator!
Triangle DEF is similar to triangle ABC. What is the measure, in degrees, of F?
Answer: 50
Step-by-step explanation: Total angle in the triangle = 180
E is 90 and D is 40
A restaurant manager is listing 10 items on a menu. Of these menu items, 8 are appetizers and 2 are main courses. All of the appetizers will be listed before both of the main courses. In how many ways can the restaurant manager list the items
The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.
What is arrangement?An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way
The given parameters are
Appetizer=8
Main=6
A person can choose 1 a-piece from each menu.
This means that:
There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.
So, the number of ways (n) is:
[tex]\rm n=Appetizer\times Main[/tex]
[tex]n=8\times 2[/tex]
[tex]n=16[/tex]
Hence, there are 16 ways to order a two-course meal
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Find three Rational number between 2/3 and 3
Answer:
2 , 3/2 , 9/3
Step-by-step explanation:
A number that can be represented as the quotient of two integers.
[tex] \frac{2}{3} =0.666666666 \: recurring[/tex]
There are many rational numbers between 2/3 and 3.
[tex]2 \ \: \: \frac{3}{2} \: \: \: \frac{9}{3} [/tex]
please help me solve this
Answer:
solve by using pythagoras theorrm then
square on both side