Michelle's investment balance after 8 years is $10,790.48.
Kristen's investment balance after 8 years is $3,770.55.
Gabriella's investment balance after 8 years is $24,780.42.
Judy's investment balance after 8 years is $3618.62.
The person with the highest amount of money at the end of the 8 years is Gabriella. If I were to choose one of the investment options, I would choose Gabriella's option.
What are the formulas that can be used to determine the balance of the sisters?The formula that can be used to determine the future value of the investment with compounding is:
FV = P (1 + r)^nm
Where:
FV = Future valueP = Present valueR = interest rate / number of compoundingm = number of compoundingN = number of yearsFuture value with continuous compounding = : A x e^r x N
Where:
A= amounte = 2.7182818N = number of yearsr = interest rateWhat is Michelle's balance after 8 years?Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18
Future value with continuous compounding: 1000 x e^0.018 x 8 = $8,145.30
Total = $8,145.30 + $2645.18 = $10,790.48
What is Kristen's balance after 8 years?Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50
Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05
Total = $3,770.55
What is Gabriella's balance after 8 years?$3000 x e^0.032 x 8 = $24,780.42
What is Judy's balance after 8 years?Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82
Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80
Total = $3618.62
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How many congruent triangles are inside the pentagon and what is the Area of each triangles
Answer:
five congruent triangles
Step-by-step explanation: The area of the pentagon will be the sum of the five congruent triangles formed. The area of one of these triangles is equal to the side of the pentagon*height/2
hope this helps
help pls ill mark brainliest
Answer:
A. 2,310 sq ft
Step-by-step explanation:
Rectengle below:
A = l × bA = 74 × 15A = 1,110ftRectangle Above:
A = l × bA = 50 × 24A = 1,200ftArea of the Playground:
1,110ft + 1,200ft1,310 sq ft (A)Abe, Ben, and Carl sold 9 biscuits for 25 cents each. They shared the money equally. How much money did each boy receive?
Answer:
$0.75 or 75 cents.
Step-by-step explanation:
9x0.25 = 2.25; 2.25/3 = 0.75.
Find the range of the function in the image.
solve it asap please
no irrelevant answers.
(question in the image)
Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]
Open the graphing tool to see the data on a scatter plot, where the month is the independent variable and the principal balance is the dependent variable.
1. Select Relationship.
2. Select Linear.
3. Check the Best fit box.
4. Observe the best fit function calculated and provided underneath the graph.
What is the best fit function for the data?
Answer:
y = -465.4569x + 17,267.6
Step-by-step explanation:
edmentum
A prism is completely filled with 72 cubes that have edge lengths of 1/2 in.
What is the volume of the prism?
Enter your answer in the box.
in
The volume of the prism that is completely filled with 72 cubes that have edge lengths of 1/2 in. is 9 in³.
What is a prism?A prism is a 3-dimensional shape, with two identical shapes facing each other.
To calculate the volume of the prism, we use the formula below.
Formula:
The volume of the prism (V) = 72×volume of one cubeV = 72L³............. Equation 1Where:
V = Volume of the prismL = Length of the cubeFrom the question,
Given:
L = 1/2 inSubstitute these values into equation 1
V = 72(1/2)³V = 72(1/8)V = 9 in³Hence, the volume of the prism is 9 in³.
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There are white, blue, and red boats in a marina. Five-sixths of the boats in the marina are white,
2
5
of the remaining boats are blue, and the rest are red. If there are 12 red boats, how many boats are in the marina?
a closed rectangular tank measures 12 meters by 6 meters by 10 metersfind the surface area of the shape
Answer:
Just Took The Test
C!!
Step-by-step explanation:
Trust
How many times greater is the area of circle 1 than the area of circle 2?
Circle 1 =18mm
Circle 2 =6mm
Answer:
9 times
Step-by-step explanation:
Radius R₁ = 18 = 3 * 6 = 3R₂
Area A₁ = πR₁² = π(3R₂)² = 9 * πR₂² = 9A₂
Two card are pulled from a normal deck of 52 cards, without replacement.
What are the odds of the two cards being a pair?
Answer:
The probability that both cards that are drawn are hearts is 1/17.
Step-by-Step-Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.
So hence, your answer is 1/17-----------------------------------——————---------------------------------------------------------
Thanks!
Answered by: FieryAnswererGT
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A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
Answer:
248.91500
Step-by-step explanation:
Answer: $1493.49
Step-by-step explanation:
Mark-up formulas:
price=cost+mark-up
mark-up=mark-up percentage×cost
Discount formulas:
discount price=original price–discount
discount=discount percentage×original price
solve
First find the original price. Write 100% as the decimal 1.00 before using it in the equation.
price
= cost+mark-up
= 995.66+1.00×995.66
= 995.66+995.66
= 1,991.32
The original price was $1,991.32.
Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.
discount price
= original price–discount
= 1,991.32–0.25×1,991.32
= 1,991.32–497.83
= 1,493.49
The discount price was $1,493.49.
What is 77+33
w e e e e e e e e e e e e e e e e e e e e e e e e e e e e e e
Answer:
110
Step-by-step explanation:
Answer:
77+33=110
Step-by-step explanation:
just add em duh
Help help math math math
Answer:
-2x+y=6
Step-by-step explanation:
You subtract 2x from both sides to get -2x+y=6
:)
Answer:
-2x+y = 6
Step-by-step explanation:
Standard form is ax + by = c.
So we need to move the x term to the left side.
y = 2x + 6
Subtract 2x from each side
-2x + y = 6
Imagine the center of the Ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar.
The transformation needed to show that both circles on the graph are similar is dilation
How to model the equation of the Ferris wheelThe equation of a circle that has its center to be (0,0) is:
[tex]x^2 + y^2 = r^2[/tex]
Where r represents the radius of the circle.
The radius can take any positive value.
Assume r = 5, then the equation becomes
[tex]x^2 + y^2 = 5^2[/tex]
[tex]x^2 + y^2 = 25[/tex]
The above can represent the equation of the Ferris wheel
A circle similar to the Ferris wheel can have the following equation
[tex]x^2 + y^2 = 7^2[/tex]
[tex]x^2 + y^2 = 49[/tex]
The above circle equation has a radius of 7, and it passes through the center
So, we have:
[tex]r = 5[/tex] -- radius of the Ferris wheel
[tex]R = 7[/tex] -- radius of the similar circle
Since both circles pass through the center, either of the circles can be dilated to the other
Read more about circle equations at:
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Write an equation that states (x, y) is the same distance from (4, 1) as it is from the x-axis.
The equation that gives all the points (x, y) that are at the same distance from (4, 1) as from the x-axis is:
y = (1/2)*(x - 4)^2 + 1/2.
How we can find the point (x, y)?
First, remember that for a point (x, y), the distance to the x-axis is equal to y.
And we also know that the distance between two points (x₁, y₁) and (x₂, y₂) is:
[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]
The distance between (x, y) and (4, 1) is:
[tex]d = \sqrt{(x - 4)^2 + (y - 1)^2}[/tex]
And this must be equal to y, so we can write:
[tex]y = \sqrt{(x - 4)^2 + (y - 1)^2}[/tex]
This is the equation we need to solve.
We will get:
[tex]y^2 = (x - 4)^2 + (y - 1)^2\\\\y^2 = (x - 4)^2 + y^2 - 2y + 1\\\\0 = (x - 4)^2 - 2y + 1\\\\2y = (x - 4)^2 + 1\\\\y = (1/2)*(x - 4)^2 + 1/2[/tex]
This equation gives all the points (x, y) that are at the same distance of (4, 1) as from the x-axis.
If you want to learn more about distances between points, you can read:
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determine if the triangles are similar by side-side-side similarity
Answer:
Side-Angle-Side Similarity Theorem: If an angle of one triangle is congruent to an angle of a second triangle, and the sides that include the two angles are proportional, then the triangles are similar. Side-Side-Side Similarity Theorem: If the corresponding sides of two triangles are proportional, then the triangles are similar.
Question
11
Share £77 in the ratio 10 : 1
Step-by-step explanation:
10+1=11
10/11 × £77= £70
1/11 ×£77= £7
Claire is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Claire's total pay on a day on which she sells xx computers.
There are t boys in class. There are 7 fewer girls in class. How many students are in class in terms of t?
Answer:
[tex]2t-7[/tex]
Step-by-step explanation:
Let "t" represent the boys in the class then the amount of girls will be:
[tex]t-7[/tex]
Total Students = Number of Boys + Number of Girls
Total Students = [tex]t+t-7[/tex]
Total Students = [tex]2t-7[/tex]
Let's use a few example numbers to see if this equation is true...
[tex]t=10[/tex]
[tex]t-7=10-7=3[/tex]
[tex]10+3=13[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 13...
[tex]2(10)-7=20-7=13\rightarrow $ Correct![/tex]
Another example...
[tex]t=15[/tex]
[tex]t-7=15-7=8[/tex]
[tex]15+8=23[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 23...
[tex]2(15)-7=30-7=23\rightarrow$ Correct![/tex]
Both examples have been proven to be true therefore there are...
[tex]2t-7[/tex] students in the class
help me with his please :(
Find the area of the composite figure below (help pls)
Answer:
189.25
Step-by-step explanation:
multiply 15 by 10 to find area of rectangle.
The area of rectangle is 150.
To find area of semicircle 1/2(pi r^2)
divide 10 by 2 to find radius, which is 5
area of semicircle would be 39.27
add 150 to 39.27
the answer is 189.27
189.25 is close enough so that is answer
when julia goes from home to school she can walk half-way and half-way she can go by bus. if she only walks, she will spend 45 minutes more. how much less time does it take her to go to school if she uses only the bus?
Answer:
15 minutes
Step-by-step explanation:
1 hour is =to 60 minutes
60minutes minus 45 minutes is equals to 15 minutes
45+15=60minutes which is 1hr
so my answer is 15 minutes. ..
thank you
pliz follow. .
Can someone please explain how to do this
Answer:
A.
Step-by-step explanation:
the ratio of shaded is 8:12 simplified to 3:4
the ration of shaded but with a cross is 7: 12. simplified it least value.
the ration of shaded with a cross and just shaded is 8:12 to 7:12, subtract those and you get 1:12
sooo you're answer is 8:12 - 1:12 to see the shaded with cross
hope this helped </3
writing numbers in words and standard form for 562,932
Answer:
The correct word form is:
Five hundred sixty-two thousand nine hundred thirty-two.
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Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
Identify the congruent corresponding parts.
Answer:
5 angles and 5 sides
Step-by-step explanation:
Hope this is the answer you are looking for.
Answer:
ABCDE is congruent to SRQPT(you can work out the sides from here)
ABC = SRQ
express the ratio below in its simplest form.3:12:9
Answer:
Step-by-step explanation:
Divide by 3
1 : 4 : 3
WHAT TIME IS TWENTY FIVE TO EIGHTT???
Answer:
7:35
Step-by-step explanation:
60 minutes in an hour, 25 minutes back from 8:00 is 7:35, 35+25=60
What is the value of J, given that YZ I VX
9.1
9.2
9.3
9.4
9.6
Answer:
9.6
Step-by-step explanation:
As YZ is parallel to VX, then ΔWYZ ≅ ΔWVX
⇒ WX : WV = WZ : ZX
⇒ 5.6 : (5.6 + 8.4) : 6.4 : (6.4 + J)
[tex]\implies \dfrac{5.6}{5.6+8.4}=\dfrac{6.4}{6.4+J}x^{2}[/tex]
[tex]\implies 5.6(6.4 + J)=6.4 (5.6+8.4)[/tex]
[tex]\implies 35.84+5.6J=89.6[/tex]
[tex]\implies 5.6J=53.76[/tex]
[tex]\implies J=9.6[/tex]
Match each sine or cosine value to its equivalent measure.
sin(16)
sin(106)
cos(137)
sin(123)
COS(58°)
COS(47°)
sin(33)
sin(32)
का
COS(749)
sin(43)
COS(579)
>
Using trigonometric identities, cos(74°) = sin(16°).
What are trigonometric identities?Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.
Trigonometric Identity used-
cos(x) = sin(90-x)
cos(74°) = sin(90°-74°) = sin(16°)
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Answer:
In the image
Hope this helps!
Step-by-step explanation:
Rachel had 7/8 of a spool of yarn. She used 3/4 of her yarn for a project. What fraction of the spool was used for the project?
if I did the math correctly the answer should be 6/8