Mathematics Middle School

Lucy deposited $1,000 into an account that earns 2.5% compound interest, compounded yearly. How much interest will Lucy earn after 8 years?

my answer is $1218.40 but supposedly it's wrong.

Answers

Answer 1

Answer:

the balance in the account after 20 years is $819

Step-by-step explanation:

The computation of the balance in the account after 20 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $500 × (1 + 2.5%)^20

= $500 × 1.025^20

= $819

Hence, the balance in the account after 20 years is $819

Related Questions

1/2n + 1/2n + 1/2n = 7
what is the value of n? include a check to check your answer.

Answers

Answer:

N = 8/4

Step-by-step explanation:

Multiply all terms by n and cancel:

1/2+1/2+1/2=7N

8/7=7n (Simplify both sides of the equation)

7n=8/7/7

           -

           7

(Divide both sides by 7)

n= 8/49

HELP PLS AND EXPLAIN:
y= 4x + 7
2x + y = 7

A. one solution

B. no solution

C. infinitely many solutions

Answers

C.infinitely many solutions

Tyler’s brother works in a shoe store.

a. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?

b. The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

c. Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?

PLEASE EXPLAIN YOUR ANSWER (how you got it)

Answers

i believe it should be (c)?

HURRY PLZ Stacy has a box that is a rectangular prism. The diagram below shows the box with dimensions labeled. What is the volume of Stacy's box?

Answers

Answer:

the volume is 64 cubed

Step-by-step explanation:

volume is length*width*hight

4*8=32

32*2=64

the answer is 64.
to find volume you do the length times the width times the height.
8*4*2=64

someone help me pleaseee

Answers

-1,5
Only if you start the new pattern at the starting formula.
-1,5 if you begin it at the start of the formula

PLS HELP ASAP, THANK YOU

Answers

Q1: 22.5 meters cubed

Answer:

answer is this

Step-by-step explanation:

Please help Kim purchased white vases, red vases, and flowers to create centerpieces for an event. The flowers cost a total of $397 and each vase cost $8. If w and r represent the number of white and red vases purchased, respectively, which of the following expressions represents the total cost of the centerpieces?

I.
II.
III.
IV.
A.
II and IV only
B.
I, II, and III only
C.
I only
D.
I and III only

Answers

The answer is B I hope that helps

70% of the 80 students in the sixth grade are taking Spanish. How many students are taking Spanish? Pick the model that represents the problem.

Answers

56 students are taking spanish

40 points!
What are the steps to finding areas?
Trapezoid:
Rectangle:
Circle:
Triangle:

Answers

Answer:

Trapezoid: So basically to find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Rectangle: To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

Circle: The area of a circle is pi times the radius squared (A = π r²).

Triangle: To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.

I totally agree with the person below me said I think that is a decent anwser and that’s something I would say also so yes that is correct .

Please help me:) thanks

Answers

Answer:

B. Side a is 7 inches long and side b is 6 inches long.

Step-by-step explanation:

Since the scale drawing is three times bigger than the actual object, divide both numbers by three to find the object size.

Side a:

21/3 = 7 inches

Side b:

18/3 = 6 inches

B side a is 7 inches and side b is 6 inches long

(-1)x^{2} 299 cual es el resultado y los pasos?

Answers

Answer: 299x^2 I think I hope we help you

Can you please check over my answer for volume and help me with the surface area?

Answers

Answer:

the surface area of the figure is 622 m ^2

the volume of the figure is 494 m ^3

Step-by-step explanation:

-you find the surface area for the rectangular prism and the triangular prism and add both answers.

- Rectangular prism S.A : 382 ^ 2              382m ^2 + 240m ^2 = 622 m ^2

-  triangular Prism S.A : 240 ^ 2        

-same thing with the volume,find the volume of the rectangular prism and the triangular prism and add those answers to find the total volume of your figure.

- Rectangular Prism  Volume : 380 m^3         380 m ^3 + 114 m ^3 = 494 m ^3

- Triangular Prism  Volume :  114  m ^3

formula for volume of a rectangular prism : V = w * l * h

formula for volume of a triangular prism : V  = A * h

formula for surface area of a triangular prism simplified :

find the area of your base [area of the triangle on your triangular prism and since you have 2 multiply by 2,formula for area of 2 bases: A= 2 (1/2 * b*h) ) ]

next step-

formula for a surface area of a rectangular prism : 2 (w*l + l*h + h*w )

a-area      w- width     l-length    

h-height  s.a -surface area

Estimate: 5.56*32.958

Answers

Answer:

183

Step-by-step explanation:

5.56*32.958 = 183.24648, round to nearest whole number

Ten Points
Look at the rectangle and the square:

A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches
Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answers

Answer:

False

Step-by-step explanation:

Let's consider the triangle SQR. We know it is right-angle because part of the rectangle PQRS. We can use the Pythagorean theorem:

[tex]SQ^{2} = RQ^{2} + SR^{2} \\SQ^{2} = 36 + 144 = 180\\SQ = \sqrt{180} = 13,4[/tex]

We can do the same for the square in which ON = 6 because it's a square:

[tex]OM^{2} = MN^{2} + ON^{2} \\OM^{2} = 36 + 36 = 72\\OM = \sqrt{72} = 8.5[/tex]

Now let's compare them:

8.5 X 2 = 17 so OM X 2 is not equal to SQ

The sentence is false.

PS : Sorry for the misspelling, I'm French =)

Answer quick please! Which equation represents a line with a slip of three and a y-intercept of 6?

Answers

Answer:

Try letter A (Sorry if its not right)

Bob bought a shirt that was on sale. The original price of the shirt was $28.99. It was marked down to $16.99. What was the percent decrease in the price? Round to the nearest whole percent.

Answers

Answer:

41.4

Step-by-step explanation:

because say the discount price is 12.00 dollars which mean to get 16.99 you have to substract it from 28.99, and the percentage would be 41.4.

Find the cost to store, percent of markup, or selling price.

Cost to store: $90
Markup: 100%
Selling price: ?

Group of answer choices
PLZZZ WELP

Answers

Answer:

10

Step-by-step explanation:

Hope it helps

Helene spends 25% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.


25% written as a decimal is
and written as a fraction is

Answers

decimal form is (.25)
and as a fraction it is (1/4)

Im almost done but I need help :)

Answers

Answer:





Explanation: D:
It’s D because if he do

The image shows the dimensions of a pool.

Answers

Answer:  D) 198 square meters

======================================================

Explanation:

Extend the side that's 9.5 meters long out to the left so that you form a trapezoid on top and a rectangle underneath. The side we extended is now 5+9.5 = 14.5 meters long.

Let

A = area of the trapezoid up topB = area of the rectangle underneath

The goal is to find A+B

The trapezoid has the parallel sides of 14.5 and 10 meters. The height of the trapezoid is 28-20 = 8 meters. So we can say

Area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 8*(14.5+10)/2

A = 98

The rectangle has area of B = length*width = 5*20 = 100 square meters

Therefore,

total area = A+B = 98+100 = 198 square meters.

Find the value of x.

Answers

Answer:

x = 45

Step-by-step explanation:

45 + 45 = 90

90 + 90 = 180

180 degrees is a triangle

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

the answer would be 45

45+45= 90
90+90=180
and 180 is a triangle hope this helped

can anyone help with this? will give brainliest thx

Answers

1. True

2. True
3. False
4. True
5. False

Answer:

2a. False (the correct answer is whole number 12)

2b. True

2c. False (the correct answer is .05)

2d. True

2e. False (the correct answer is 1/21)

In a garden, 2/3 of the flowers are roses. Of the roses in the garden, 5/12 are yellow and the rest are red. What fraction of the flowers are red roses?

Answers

7/18 of the flowers are red roses

because 5/12 are yellow, the rest would be red. so 7/12. but total roses are only 2/3 of the whole garden.

tip: when you see "of" in a fraction problem, it means you can multiply them.

so, 7/12 OF 2/3 is just (7/12) * (2/3).
multiplying straight across and simplifying will get you to 7/18!

Sam's parents gave him a map to reach to
his house. He is 1.5 cm from his home. If
each 3 cm on scale drawing equals 5 km, how
far is he from the house?

Answers

2.5 km because 1.5 is half of 3 and half of 5 is 2.5
the answer is 2.5 km!!!!

i need another big brain.........please and thank you ;P

Answers

Answer: 8 ft

Step-by-step explanation:

Find perimeter:

14 + 14 + 15 + 15 = 58 ft

Since we're finding how many more ft of fencing she needs we subtract:

58 - 50 = 8 ft

Answer:

the answer is 8ft I'm sure

How many different kinds of shapes are used to create the faces on this three-dimensional model?

A. 1
B. 2
C. 6
D. 12

Answers

Answer:

b. 2

Step-by-step explanation:

sides and bottom

Pls help. (Use answers below)

Answers

Answer:

let me try

Step-by-step explanation:

1) 38.13 in^2
2) 51 in^2
3) 286 cm^2
4) 90 m^2
5) 56 cm^2
6) 56.96 m^2
7) 185 ft^2
8) 142.5 in^2
9) 132 ft^2
10) 76.26 in^2
11) 175 m^2
12) 322 ft^2
13) 187.5 ft^2
14) 39 in^2
15) 100 in^2
16) 75.25 in^2

Hello! Can someone please help me with this?
Solve Equations for Unknown Angles

Answers

Step-by-step explanation:

For the first one for A, B, C its the explanation in the left corner

You are buying shoes at Kohl's at a Back to School Sale. The shoes you are buying are $38.99 and you have a coupon for 50% off, using estimation and mental math, what would the cost of the shoes be after the coupon?

Answers

19.50 would be the answer
19.50 would be the answer

Are the ratios 3:6 and 6:3 equivalent? Why or why not?

Answers

Answer:
Yes!
Step-by-step explanation:
It is because your still getting the same number 3 because even though your multiplying and dividing it still works

Answer:

no

Step-by-step explanation:

3:6 is equal to 1/2 where 6:3 is equal to 2

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