Therefore, after 4 weeks, Liz will have $275 in her savings account and Fareed will have $300 in his savings account.
After 1 week
Liz will have saved $75 + $50 = $125, and
Fareed will have saved $100 + $50 = $150.
After 2 weeks,
Liz will have saved a total of $125 + $50 = $175, and
Fareed will have saved a total of $150 + $50 = $200.
After 3 weeks,
Liz will have saved a total of $175 + $50 = $225, and
Fareed will have saved a total of $200 + $50 = $250.
After 4 weeks,
Liz will have saved a total of $225 + $50 = $275, and
Fareed will have saved a total of $250 + $50 = $300.
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Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
Select all the expressions that are equivalent to 24a – 6.
12(48a−12)
1
2
48
a
-
12
–3(2a + 2) + 18a
3(–2 + 8a)
–6(2 – a) + 18a + 6
2(10a − 4) + 0.25(8a)
The expressions that are equivalent to 24a - 6 are 1/2(48a - 12) and -3(2a + 2) + 18a
Let's start with the first expression,
=> 12(48a - 12).
We can distribute the 12 to get
=> 576a - 144.
This expression is not equivalent to 24a - 6 since 576a - 144 cannot be simplified to 24a - 6.
Moving on to the second expression,
=> 1/2(48a - 12) = 24a - 6.
This expression is equivalent to 24a - 6 since it simplifies to the same expression.
The fourth expression,
=> -3(2a + 2) + 18a
can be simplified by distributing the -3 to get
=> -6a - 6 + 18a.
Combining like terms, we get
=> 12a - 6.
This expression is equivalent to 24a - 6 since it simplifies to the same expression.
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suppose a company's revenue increased by 4.65% over tyhe previous year. Assuming this trend continues, which expression could the company use to ampproximate the percent increase in revenue through a certain number of months, m?
The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
We have to given that;
A company's revenue increased by 4.65% over the previous year.
We know that;
Formula is,
[tex]A = P (1 + \frac{r}{100} )^m[/tex]
Where, A = final amount
P = principal amount
r = rate
m = time in months
So, The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 + \frac{r}{100} )^m[/tex]
⇒ [tex]A = P (1 + \frac{4.65}{100} )^m[/tex]
⇒ [tex]A = P (1 + 0.0465 )^m[/tex]
⇒ [tex]A = P (1 .0465 )^m[/tex]
Thus, the correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
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In 4 MNO if MN = 5 cm, NO = 6 cm and MO = 7 cm, find: a the area of A MNO. b the length of the shortest altitude.
The area of the triangle MNO is 14.7 sq cm and the shortest altitude is 2.1 cm
Finding the area of the triangle MNOFrom the question, we have the following parameters that can be used in our computation:
MN = 5 cm, NO = 6 cm and MO = 7 cm
So, we have
s = 1/2 * (5 + 6 + 7)
Evaluate
s = 9
The area is then calculated as
Area = √[s(s - MN)(s - NO)(s - MO)]
Substitute the known values in the above equation, so, we have the following representation
Area = √[9 * (9 - 5)(9 - 6)(9 - 7)]
Evaluate
Area = 14.7
Also, we have
Shortest altitude = 14.7/7
Shortest altitude = 2.1
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Which of the numbers below are multiples of 4 select all that apply
Answer:Need answer choices to answer
Step-by-step explanation:
HELP ASAP! The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of center for the data, and what is its value?
The median is the best measure of center, and it equals 6.5.
The mean is the best measure of center, and it equals 7.
The median is the best measure of center, and it equals 7.
The mean is the best measure of center, and it equals 6.5.
all
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars.
Select the equation that matches this situation.
Choose 1 answer:
Choose 1 answer:
(Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w
A
5 = 15 \times w5=15×w5, equals, 15, times, w
(Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5
B
w = 15 +5w=15+5w, equals, 15, plus, 5
(Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15
C
w = 5 \times 15w=5×15
Does anyone know the answer?
well, let's read the Set Builder
the variable "x", where "x" is greater than or equals to 2
Oh by the way "x" is also less than or equals to 2
hmmm what the heck? how can "x" be greater than 2 and at the same time be less than 2? well, that's kinda like a logical collision, so we can conclude that "x" is neither less than or greater than 2, but another condition is that it could be equal to 2, since the other two collided, the only conclusion is that "x" must be equal to 2.
Mr. Cosgrove, a farmer, needs to build a new feed trough for his goats. The trough will be in the shape of a rectangular prism and hold approximately 20 gallons, or 4,620 cubic inches, of food. The height of the trough will be 6 inches so that the goats can access their food easily. Mr. Cosgrove decides to make the trough 8 times as long as it is wide so all his goats can eat at the same time.
Which equation can you use to find the width of the feed trough?
A.) 4,620w = 8 x w x 6
B.) 4,620 = 8w x w x 6
To the nearest tenth of an inch, how wide will the feed trough be?
___ inches wide
The correct equation to find that can be used to find the width of the feed trough is (b) 4620 = 8w×w×6, and the width of the "feed-trough" is 9.8 inches wide.
The "Volume" of "rectangular-prism" can be found using formula V = l×w×h, where V is = volume, l is = length, w is = width, and h is = height.
We know that the volume of the "feed-trough" is 4,620 cubic inches, and
The height is = 6 inches. Let us denote the width as "w" and the length as "8w" (because trough's length is 8 times the width),
So, the equation for the volume of the feed trough is:
⇒ 4620 = (8w) × (w) × (6),
So, the correct equation to find the width is Option (b) 4620 = (8w) × (w) × (6).
Simplifying further,
We get,
⇒ w² = 96.25,
⇒ w ≈ 9.8 inches (rounded to the nearest tenth)
Therefore, the width of the feed trough will be approximately 9.8 inches.
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Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:
between $150,000 and $156,000 if the standard deviation is $2000.
About 49.87% of buyers paid between $150,000 and $156,000 for the new homes.
According to the 68-95-99.7 rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean in a normal distribution.
In this case, the mean price of a certain model of new homes is $150,000, and the standard deviation is $2000. Thus, we can calculate the price range of one standard deviation above and below the mean as:
Lower Bound = Mean - 1 × Standard Deviation = $150,000 - $2,000 = $148,000
Upper Bound = Mean + 1 × Standard Deviation = $150,000 + $2,000 = $152,000
Therefore, approximately 68% of buyers paid between $148,000 and $152,000 for the new homes.
To find the percentage of buyers who paid between $150,000 and $156,000, we need to calculate the z-scores for these values using the formula:
z-score = (value - mean) / standard deviation
For $150,000:
z-score = ($150,000 - $150,000) / $2,000 = 0
For $156,000:
z-score = ($156,000 - $150,000) / $2,000 = 3
Looking at the z-score table, we can see that the area under the normal curve between z = 0 and z = 3 is approximately 49.87%.
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You win the game if X 25 or x 45 . Use the central limit theorem to calculate the
probability that you win.
3mks
Note that the probability - P(X ≤25 or X ≥ 45) = 0.0784
How to solve thisP(X ≤25 or X ≥ 45) = 1- P(X ≤25.5 or X ≥ 44.5)
= 1 - p [ (25.5 - 10(3.5)/ √(35/12) √10) ≤ (X-10(3.5)/√(35/12) √10) ≤ (44.5 - 10(3.5)/√(35/12) √10)]
≈ 1 - (2Ф (1.76) - 1)
≈ 2(1-0.9608)
≈ 0.0784
Thus, P(X ≤25 or X ≥ 45) = 0.0784
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Full Question:
You roll a 6-sided die 10 times. Let X be the total value of all 10 dice = X1 + X2 + ...... + X10.
You win the game if X ≤ 25 or X ≥ 45. Use the central limit theorem to calculate the probablity that you win.
Note that E[Xi] = 3.5 and Var (Xi) = 35/12
What is the surface area of this triangular pyramid?
now, taking a peek at the picture above, let's notice, the pyramid is really just 4 triangles, three standing up and one lying down.
[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{triangles standing up} }{3\left[\cfrac{1}{2}(\underset{b}{5})(\underset{h}{7}) \right]}~~ + ~~\stackrel{ \textit{triangle lying down} }{\cfrac{1}{2}(\underset{b}{5})(\underset{h}{4.3})}}\implies 52.5+10.75\implies \text{\LARGE 63.25}~yd^2[/tex]
what's 2/3 times 6+2/3 times 2
Answer:
5 1/3
Step-by-step explanation:
2/3 x 6 + 2/3 x 2
2/3 x 6 = 12/3
2/3 x 2 = 4/3
12/3 + 4/3 = 16/3
16/3 = 5 1/3
Carlos le dijo a Luisa: “Al sumar 4 al doble de un número el resultado es 30. ¿Cuál es el número?”
Find the area of a regular hexagon with apothem mm. Round to the nearest whole number.
31 mm2
94 mm2
187 mm2
125 mm2
The area of the regular hexagon with apothem 3√3 mm is approximately 125 mm². (option d)
The area of a regular hexagon can be found using the formula:
Area = (3√3 × s²) ÷ 2
Where s is the length of one side of the hexagon, and 3√3 is the apothem.
To solve for the area, we need to find the value of s. We can do this by using the fact that a regular hexagon can be divided into six equilateral triangles, and each of these triangles has sides equal to s.
The height of each equilateral triangle is equal to the apothem, which is 3√3 mm in our case. Using the Pythagorean theorem, we can find the length of one side of the hexagon:
s = 2 × (3√3) ÷ √3
s = 6
Now that we know the value of s, we can substitute it into the formula for the area of a regular hexagon:
Area = (3√3 × 6²) ÷ 2 = 125
Hence the correct option is (d).
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Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.
Triangle A and Triangle C are congruent to each other because a series of rigid transformations, a translation and a reflection, were applied to A to form C. Therefore, the correct answer is "A Is congruent to B and B Is congruent to C". So, the correct answer is A).
Identify the coordinates of the vertices of Triangle A and Triangle C
Triangle A: (1, -2), (3, -2), (3, -5)
Triangle C: (4, 0), (6, 0), (6, 3)
Apply the first transformation that was used to transform Triangle A to Triangle C, which is a translation of 3 units right and 2 units up. To do this, add 3 to the x-coordinates and add 2 to the y-coordinates of each vertex of Triangle A to get
Triangle A': (4, 0), (6, 0), (6, -3)
Triangle A' is not congruent to Triangle A because the translation changes the position of the vertices, but it does not change the size or shape of the triangle.
Apply the second transformation that was used to transform Triangle A' to Triangle C, which is a reflection over the x-axis. To do this, negate the y-coordinates of each vertex of Triangle A' to get
Triangle C': (4, 0), (6, 0), (6, 3)
Triangle C' is congruent to Triangle C because the reflection over the x-axis preserves the size and shape of the triangle, and negating the y-coordinates of the vertices only changes their position, not their size or shape.
Compare Triangle A with Triangle C'
Triangle A: (1, -2), (3, -2), (3, -5)
Triangle C': (4, 0), (6, 0), (6, 3)
We can see that Triangle A is congruent to Triangle C' because they have the same shape and size, and the corresponding angles and sides are equal.
Therefore, since Triangle A is congruent to Triangle C', and Triangle C' is congruent to Triangle C, we can conclude that Triangle A is congruent to Triangle C.
Therefore, the correct answer is "A Is congruent to B and B Is congruent to C" and option is A).
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--The given question is incomplete, the complete question is given
" Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). Which best explains why figure A is congruent to figure C?A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle."--
find the mean and variance of 2,2,3,3,3,4,4,4, and 4
Answer:
Find the mean and variance of 2,2,3,3,3,4,4,4, and 4
O 3.22, 0.62O 4.21, 0.58
O 6.53, 0.74
O 7.69, 0,69
Step-by-step explanation:
You're welcome.
Answer: The first one
Average x = 3.2222222222222
Count n = 9
Sum Sum = 29
Step-by-step explanation: Mean means the usual set of numbers found by adding all the numbers together and then dividing that by the number of the numbers.
Hope it helped
Tavon wants to buy new skis that are the same as his height he is 1.6 meters tall. skis are sold in cm. What size does Tavon need?
The size of skis is 160 cm.
Given that, Tavon wants to buy new skis that are the same as his height he is 1.6 meters tall. skis are sold in cm. we need to find the height of skis,
Using the concept of unit conversion,
1 m = 100 cm
Therefore,
1.6 m = 100 × 1.6 = 160 cm
Since, the length of the skis and the height of Tavon are same so the skis are of 160 cm.
Hence, the size of skis is 160 cm.
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The perimeter of the garage is 64 feet. The length
is 20 feet. What is the width of the garage?
Answer:
The width of the garage is 22 feet
Step-by-step explanation:
64 = 20 + 2w
44 = 2w
22 = w
The width of the garage is 22 feet
find the area of the figure? 18ft 36ft
Answer:
648ft
Step-by-step explanation:
18 multiplied by 36 is 648
Answer:
648 ft ^2
Step-by-step explanation:
A = L * W A = 18 ft * 36 ft A = 648 ft^2
The resulting number is the area of the rectangle, which is expressed in square units. So the area of the figure is 648 square feet
The length of a rectangle is seven more than double the width. If the perimeter is 122 inches, find the
dimensions.
The width is:
The length is
The length of the rectangle is 43 inches.
The width of the rectangle is 18 inches.
Given that,
The length of a rectangle is seven more than double the width.
Let width = x
Length = 7 + 2x
Perimeter of the rectangle = 122 inches
The formula to find the perimeter of a rectangle is,
Perimeter = 2 (length + width)
Substituting,
122 = 2 (7 + 2x + x)
61 = 7 + 3x
3x = 54
x = 18
Width = 18 inches
Length = 7 + 2x = 7 + 36 = 43 inches
Hence the length and width are 43 inches and 18 inches respectively.
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you roll a fair 6-sided die. what is the probability of rolling an odd number?
Answer:
Step-by-step explanation:
50%
Chase rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that he will roll a number greater than 6?
1.unlikely
2.impossible
3.an equal chance or 50-50
4.likely
Please help.
Answer:
This (1.) unlikely
Please solve this as quick as possible, I’ll give brainliest for it, thank you so much if u do it
Answer:
Put your calculator in degree mode.
a = 2, b = 1. So y = 2sin(x)
sin(k) = 12/25, so k = 180° - 28.69° = 151.31°
The figure is omitted--please sketch it to confirm my answer.
√(25^2 - 12^2) = √481
So tan(k) = -(12√481)/481
You want to purchase a new car
In 9 years and expected the car to cost $15,000. Your bank offers a plan a guaranteed APR of 6.5% .
If you make regular deposits.
How much should you deposit each month to end up $15,000 in 9 years ? 
The approximate amount to be deposited each month at a guaranteed APR of 6.5% that will accrue to $15,000 in 9 years is $97.57.
Future value for an annuityIn order to find out how much you should deposit each month to end up with $15,000 in 9 years, we can use the future value formula for an annuity:
FV = PMT * [(1 + r)^n - 1] / r
where:
FV is the future valuePMT is the deposit amountr is the monthly interest raten is the total number of deposits (in months).The total number of deposits, n, is the number of months in 9 years:
n = 9 * 12 = 108
The monthly interest rate from the annual percentage rate (APR):
r = (1 + 0.065/12) - 1 = 0.0054166667
Let's substitute the values and solve for PMT:
15,000 = PMT * [(1 + 0.0054166667)^108 - 1] / 0.0054166667PMT = 15,000 / [(1 + 0.0054166667)^108 - 1] * 0.0054166667PMT ≈ $97.57Therefore, you should deposit approximately $97.57 each month to end up with $15,000 in 9 years, assuming a guaranteed APR of 6.5%.
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how do you find the height of a composite figure made up of 2 different 3-d shapes?
In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.
How can we determine height of the composite 3-D figure?The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.
After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.
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what is true about the modeling equation that best fits this data?
a. the modeling equation does not have extremum
b. the modeling equation has a point of inflection
c. the modeling equation is concave down
d. the modeling equation is concave up
Find the distance between the points (1,2) and (10,-10) round decimal to nearest tenth
The distance between the points (1, 2) and (10,-10) is 15 units.
How to determine the distance between the coordinates for each points?In Mathematics and Geometry, the distance between two (2) points that are on a coordinate plane can be calculated by using the following mathematical equation:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the data points (coordinates) on a cartesian coordinate.
By substituting the given points into the distance formula, we have the following;
Distance = √[(10 - 1)² + (-10 - 2)²]
Distance = √[(9)² + (-12)²]
Distance = √[81 + 144]
Distance = √225
Distance = 15 units.
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Find the value of x. Then find the area of the triangle.
Step-by-step explanation:
law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c are the sides, A, B, C are the corresponding opposite angles.
so,
16/sin(90) = x/sin(30)
16/1 = x/0.5
0.5 × 16 = x
x = 8 units
Pythagoras now gets us half the baseline (and therefore the full baseline) :
16² = x² + (baseline/2)² = 8² + (baseline/2)²
256 = 64 + baseline²/4
192 = baseline²/4
768 = baseline²
baseline = sqrt(768) = sqrt(256×3) = 16×sqrt(3) units
the area of a triangle is
baseline × height / 2
in our case
16×sqrt(3) × 8 / 2 = 16×sqrt(3) × 4 = 64×sqrt(3) units² =
= 110.8512517... units²
A woman earns $2000 per month and budgets $220 per month for food. What percent of her monthly income is spend on food?
Answer:
1.1 percent of her monthly income is spent on
Step-by-step explanation:
Write three equations that involve adding negative numbers?
Asked equations are written below with the explanation.
Here are three equations that involve adding negative numbers:
-5 + (-3) = -8
This equation involves adding the negative numbers -5 and -3.
-10 + (-2) + (-3) = -15
This equation involves adding the negative numbers -10, -2, and -3.
-7 + (-1) + (-4) + (-2) = -14
This equation involves adding the negative numbers -7, -1, -4, and -2.
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