Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 years. Her account balance is a result of Jenna’s .

Answers

Answer 1

Answer:

$43,625

Step-by-step explanation:

Hello,

The question is a direct application of compound interest and we'll approach this question using the formula of compound interest.

A = P(1 + r/n)^nt

A = compound interest

P = principal

r = rate of the interest

n = number of times compounded

t = time interval for the money to be compounded.

Data;

A = ?

P = $2,500

r = 10% = 0.1

n = 1 (since it's compounded annually)

T = 30 years

A = 2,500 [1 + (0.1 / 1)]^(1 × 30)

A = 2,500 × [1 + 0.1]³⁰

A = 2,500 × 1.1³⁰

A = 2,500 × 17.45

A = $43,625

In 30 years, Jenna would've saved $43,625


Related Questions

please please please help meeeee

Answers

Answer:

75.36

Step-by-step explanation:

V=3.14*4*6

Answer: 75.4

Step-by-step explanation:

V= pi r^2 h

3.14(2^2)(6)

Approximately 75.39822

work or
Use the distributive property or the area model to write an expression that is equivalent
to 8(3x + 4).
a. 24x + 4
b. 3x + 32
c. 24x + 32
d. 11x + 12

Answers

Hi

k (a+b) = ka+kb

so :  8 (3x+4) =   8*3x +8*4  =  24x +32

Answer:

24x +32

Step-by-step explanation:

8 times 3 is 24 and 8 times 4 is 32.

What is the area of the cross section that is parallel to side PQRS in this rectangular box?

Answers

Answer: Hey, you need to add a photo, once you do so I will edit my answer

Answer:

It's 12 square units

Step-by-step explanation: I got it right on the test :)

00:00
Mrs. Swan wrote 4 equations on the board.
Which equation shows the Associative Property of Multiplication?
O A. 3x6x1=3 x 1
O B. 3 x 6 = (3 x 2) + (3 x 4)
O C. 3x6 = 6 x 3
0 D. (3 x 6) x 2 = 3 (6 x 2)​

Answers

Answer:

Option D

Step-by-step explanation:

The  Associative Property of Multiplication allows you to group numbers in any combination, and still get the correct answer from it.

[tex]a(b*c)=(a*b)c[/tex]

Option D '(3 x 6) x 2 = 3 (6 x 2)​' has the same numbers, but 3 and 6 are grouped while 6 and 2 are grouped on the other side.

[tex]a*(b*c)=(a*b)*c\rightarrow(3 * 6)*2 = 3*(6 * 2)[/tex]

Option D should be the correct answer.

The associative property is when you can change the numbers within the parentheses without changing the outcome. So it would be D.

3x6=18. 18x2=36

6x2=12. 12x3=36


So even though there are different numbers in the parentheses the outcome is the same number.

Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle?

Answers

Answer:

14.14

Step-by-step explanation:

10^2+10^2=x^2

x=square root 200

Answer: 102 units or 14.14 units

Solution,

Hypotenuse=?

Perpendicular=10 units

Base=10 units

Using the Pythagoras theorem,

H^2=p^2+b^2

or,h^2= (10)^2+(10)^2

or,h^2=100+100

or,h^2=200

or,h=200

h=102 or 14.14

Hope it helps..

Good luck on your assignment

The diameter of a circle is 6 cm. Find its area to the nearest tenth.

Answers

Answer:

28.27cm²

Step-by-step explanation:

formula:

A=πr²

d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

hope this helped!

Answer:

[tex] = 28.26 {cm}^{2} \\ [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 6 = 2r \\ \frac{6}{2} = \frac{2r}{2} \\ r = 3[/tex]

[tex]area = \pi {r}^{2} \\ = \pi \times 3 \times 3 \\ = 28.26 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What is mbC?

58

96

75

Answers

Answer: mbc=76

Step-by-step explanation:

20=1/2 (116)

20(2)=116-mbc

40=116-mbc

mbc=116-40

mbc=76

Question 15
Not yet
answered
Find the slope of the line that passes through the pair of points ( ) and (, 5)
Points out of
1.00
P Flag question
Select one:
O a. 19
18
O b.
36
157
O C.-
680
9
O d. 1
Question 16
Find the slope of the line that passes through the pair of points(H, ) and ( 1).
Not yet
answered
Points out of
1.00
Select one:
O a.
18
185
185
Ob.
18
289
Ос.
P Flag question
3,330
O d.
88,434
185
Can you please answer both of these please!!!

Answers

Answer:

C: -680/9

B: -185/18

The solution to ? Is m= 1.

A). m + 2 = 1

B). m + 1 = 3

C). m + 1 = 2

D). m - 2 = 1

Answers

( C. ) m + 1 = 2

Step-by-step explanation:

m + 1 = 2

⇒ m = 2 - 1

⇒ m = 1

The answer is C, m +1=2

Georgia is making a square sign for her bedroom door. The length of one side is 9 inches. What is the perimeter of the sign?

Answers

Answer:

36 inches

Step-by-step explanation:

a squares sides all measure the same length so, if one side is 9 inches all 4 of them are 9 inches. perimeter is all sides added up:

the equation would be 9+9+9+9 which would equal 36

Rewrite the function by completing the square.


f(x)=x^2+14x+8


f(x)=(x+__)^2=__

Answers

Answer:

[tex] y = x^2+14x +(14/2)^2 +8 - (14/2)^2[/tex]

And solving we got:

[tex] y = x^2 +14x +49 + 8 -49[/tex]

And we can reorder the terms we got:

[tex] y =(x+7)^2 -41[/tex]

And that would be the equivalent expression for the problem

Step-by-step explanation:

For this case we have the following function given:

[tex] y = x^2 +14x +8[/tex]

And we can complete the square adding the middle of 14 squared and subtracted before like this:

[tex] y = x^2+14x +(14/2)^2 +8 - (14/2)^2[/tex]

And solving we got:

[tex] y = x^2 +14x +49 + 8 -49[/tex]

And we can reorder the terms we got:

[tex] y =(x+7)^2 -41[/tex]

And that would be the equivalent expression for the problem

please help ill mark you as brainlesit if correct!​

Answers

Answer:

25%

Step-by-step explanation:

So first calculate how many numbers are above 10.

There are 10

There are only 5 even numbers.

The fraction is: [tex]\frac{1}{4}[/tex] = 25%

Please read the Real Work questions attached. Thanks.

Answers

Answer:

26

Step-by-step explanation:

Since B ∈ AC and BC = 10, AB = AC - BC = 36 - 10 = 26.

Hartley has two 4-section spinners, each labeled 1-4. She will spin both spinners a total of 96 times. For each pair of numbers where the pointers of the spinners land on, Hartley will subtract the smaller number from the greater number.


How many possible total outcomes are there?

How many times should Hartley spin a difference of 1?

How many times should Hartley spin a difference of 0?

Answers

Answer:

1) Total outcomes of 1 time = 16

2) 36 times

3) 24 times

Step-by-step explanation:

1) Total outcomes

If both spinners are spinning together, and are labelled from 1 to 4, the the outcome are:

{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4), (4, 1), (4, 2), (4, 3), (4, 4)}

We can count them to find total no. of outcomes

Total outcomes = 16

2) When Difference = 1

Following combinations have a difference of 1

{(1, 2), (2, 1), (2, 3), (3, 2), (3, 4), (4, 3)}

n = 6

Probability of getting such combination is: 6/16

How many times Harvey would get such a combination out of 96 times?

[tex]\frac{6}{16}\cdot96=36[/tex]

3) When Difference = 0

Following combinations have a difference of 0

{(1, 1), (2, 2), (3, 3), (4, 4)}

n=4

Probability of getting such combination is: 4/16

How many times Harvey would get such a combination out of 96 times?

[tex]\frac{4}{16}\cdot96=24[/tex]

Pls answer ASAP neeeddd

Answers

Answer:

The answer is Tangent.

Step-by-step explanation:

Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.

So using this formula, you are able to find the value of x.

Nicole has a piece of ribbon that is 4 yards long. She cuts off a piece that is 3 feet long and gives it away.
How many inches of ribbon does Nicole have left over?
A
1
B
9
C
36
D
108
can someone help me please​

Answers

Answer:

3 yards

Step-by-step explanation:

you have to convert the yards in to inches

4 yards is 12 ft so minus 3 = 9 ft the convert back to 2 yards :)

Please help me! Help is very needed

Answers

What do you need help for :)

SUPER URGENT Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left.


Is it possible for Sam to eat it all if he will bite 20% of what it is left?

Answers

No, Sam will not be able to finish the large hamburger if he only bites 20% of what is left.

What is the percentage?

In mathematics, a percentage is defined as a figure or ratio expressed as a fraction of 100. The percent sign, "%," is commonly used to indicate it.

How to solve this problem?

Let the size of the hamburger be 100 units.

Here, the first bite was 20% of the hamburger.

So the remaining portion of the hamburger is 100 - (100*(20/100)) = 80 units.

The second bite was 20% of 80%. Again the remaining portion is 80 - (80*(20/100)) = 80 - 16 = 64 units.

After the third bite, the remaining portion is 64 - (64*(20/100)) = 64 - 12.8 = 51.2 units.

After the fourth bite, the remaining portion is 51.2 - (51.2*(20/100)) = 51.2 - 10.24 = 40.96 units.

After the fifth bite, the remaining portion is 40.96 - (40.96*(20/100)) = 40.96 - 8.192 = 32.768 units.

...

Since the criterion is Sam will bite 20% of what is left, this remaining portion is never zero. It will always be a fraction like 0.00000000000001. Again we have to find 20% of 0.00000000000001 and subtract it from 0.00000000000001. So, It will continue.

Therefore, we can conclude that it is not possible for Sam to eat the big hamburger all if he will bite 20% of what is left.

Learn more about percentages here -

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Help please I cant get this right

Answers

if it were me I would start by inputting 3 into the equation and then trying to simplify it

[tex]\sqrt{3^2+6*3+9}[/tex]

[tex]\sqrt{9+18+9}[/tex]

[tex]\sqrt{36}[/tex]

pleas helpppp please

Answers

Answer:

48cm^2

Step-by-step explanation:

We are given some of the measurements of the piece of cardboard.

First, let's find the lengths of all the sides of the cardboard, as it will be easier to then find the area.

Going in clockwise order, from top to bottom, the dimensions are:

4cm, 7cm, 6cm, 2cm, 10cm, 9cm.

Now, we can easily find the area by using the formula BH=Area. Let's split the cardboard into sections that will be easier to find the area of. Say we split it in two, rather like a sneaker with the person wearing a sock showing at the ankle (I have strange explanations, I know).

To find the top part (the sock part) we can multiply 4 by 7 to get 28.

To find the shoe part, we can multiply 10 by 2 to get 20.

Finally, add these areas together to get the total area.

20 + 28 = 48

Another way to do this (if my sock and sneaker explanation was too chaotic for you) would be to imagine that the cardboard piece were an entire rectangle (ignore that chunk that has been cut out).

The area of that would be 90, from 9 by 10 as the side lengths. Then, from earlier, we know that the width and length of the chunk that has been cut out is 6 and 7, so the area that will be cut out is 42.

Subtract 42 from 90 to get 48.

to check the answer to an equation, you can ___ your answer into the equation.

A) distribute
B) combine like terms
C) substitute

15 ponints!!

Answers

Answer:

Substitute

Step-by-step explanation:

After you get an answer to an equation, you can substitute your answer into the equation to check to see if it's correct.

Options A and B are steps to complete an equation, not to check it.

Option C should be correct.

Example:

[tex]x+5=16\\x+5-5=16-5\leftarrow \text{Subtraction Property of Equality} \\x=11[/tex]

We can substitute 11 into the equation to check if it's correct.

[tex]11+5=16\\\boxed{16=16}[/tex]

Our answer is correct.

Answer:

B) combine like terms

Step-by-step explanation:

When you combine like terms, you have to consider all and need to plug in your answer into the original equation to check.

PLEASE HELP ME:( TRUE OR FALSE A covenant not to sue is a contractual provision in which one party promises not to sue the other.

Answers

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Which shows the image of rectangle ABCD after the rotation (x,y) - (-y,x)?

Answers

Answer: A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

What is the equation of a line passing through (-6,5) and having a slope of 1/3?

Answers

Answer:

y = (1/3)x + 7  

Step-by-step explanation:

Steps:

  (y-y1)=m(x-x1)     where m=slope

Using (x1,y1) is (-6,5):

1:  (y-5)= (1/3)(x-(-6))

2:   (y-5) = (1/3)(x+6)

3:     y-5 = (1/3)x + 2           Distribute

4:  y = (1/3)x + 7             Add 5 to both sides

Hope this helps.

The volume V of a rectangular prism of a particular height varies jointly as the
length I and the width w, and V = 224 ft when I = 8ft and w = 4 ft.
Find I when V = 210 ft' and w = 5ft.

Answers

Answer:

    6ft

Step-by-step explanation:

Volume of rectangular prism = l x w x h, where h is height. So, we have to work out the height of the first prism in the following way. 224 divided by ( 8 x 4), which gives 7. So, to find l in the second prism, we have to :

L x W x H = 210

L x 5  x 7 = 210

L x 35 = 210

L = 210 divided by 35 = 6

Question 3 Multiple Choice Worth 4 points)
(07.04A)
If y = 6x - 3, which of the following sets represents possible inputs and outputs of the function represented
ordered pairs?
{(0, 3), (1, -9), (2, -15)}
{(0, -3), (2, 15), (4, 21)}
{0, -3), (2, 9), (4, 21)}
{(0, 3), (-2, 15), (4, 21)}

Answers

Answer:

{0, -3), (2, 9), (4, 21)}

Step-by-step explanation:

if x = 0 ⇒ y = 6x - 3 = 6(0) - 3 = 0 - 3 = -3

if x = 2 ⇒ y = 6x - 3 = 6(2) - 3 = 12 - 3 = 9

if x = 4 ⇒ y = 6x - 3 = 6(4) - 3 = 24 - 3 = 21


m_1=
O 40
O 130
O 50

Answers

Answer:

The answer would be 50

Step-by-step explanation:

Solve the equation. 24 = 2x – 9

Answers

Answer: x=16.5

24=2x-9
Add 9 to each side
33=2x
Divide both sides by 2
16.5=x

The solution is, the value of x in the equation. 24 = 2x – 9 is: x=16.5.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have

given that, the equation is, 24 = 2x – 9

now, we have to simplify the equation to get the value of x.

24=2x-9

Add 9 to each side

33=2x

Divide both sides by 2

i.e. 33/2 = x

16.5=x

Hence, The solution is, the value of x in the equation. 24 = 2x – 9 is: x=16.5.

To learn more on simplification click:

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Will give brainliest to whoever answers correctly.

Answers

Answer:

x=8

Step-by-step explanation:

1st rectangle:

6×4=24

2nd rectangle:

24÷3=8

Answer:

x = 8 cm

Step-by-step explanation:

A = l x L

6cm×4cm = 3cm×xcm

x = 24cm²/3cm

x = 8 cm

Which statements are true? Check all that apply.

If a figure has point symmetry, it also must have rotational symmetry.
If a figure has rotational symmetry, it also must have point symmetry.
If a figure has point symmetry, it also must have 4-fold reflectional symmetry.
All parallelograms have point symmetry.
A triangle never has point symmetry.

Answers

The answers are

A) If a figure has point symmetry, it also must have rotational symmetry  

D) All parallelograms have point symmetry

E)  A triangle never has point symmetry

on Edge 2020

A parallelogram has rotational symmetry and triangle has no points of symmetry. Therefore, option 4 and 5 are correct answers.

What is a point symmetry?

Point Symmetry is when every part has a matching part the same distance from the central point but in the opposite direction. It looks the same when viewed from opposite directions (180° rotation).

1) A figure has point symmetry, if it has a rotational symmetry of 180 degrees.

2) An object is said to possess rotational symmetry if it takes the same shape before and after its rotation along its point of rotation.

3) In order for a figure to have reflectional symmetry, there needs to be at least one axis such that when the the figure "folds" over that axis it maps into itself.

4) A parallelogram has rotational symmetry. A parallelogram does not have reflectional symmetry.

So, all parallelograms have point symmetry.

5) Triangle has no points of symmetry, because there is no up and down shapes in triangle

A parallelogram has rotational symmetry and triangle has no points of symmetry. Therefore, option 4 and 5 are correct answers.

Learn more about the point symmetry here:

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