The formula for compound interest is:

Where:

A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for

If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?

Answers

Answer 1

Answer:

Future value, A = $642

Step-by-step explanation:

Given the following data;

Principal = $500

Interest rate = 5% = 5/100 = 0.05

Time, t = 5 years

n = 365

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]

[tex] A = 500(1 + 0.000137)^{1825}[/tex]

[tex] A = 500(1.000137)^{1825}[/tex]

[tex] A = 500*1.2840 [/tex]

Future value, A = $642


Related Questions

Which value for x makes the sentence true?
2/3x +5=7
A.
-4
B.
18
C. 8
D.
3

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Answer:

Answer is D: 3

Step-by-step explanation:

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Answer:

the value of x is 10

Answer:

10

Step-by-step explanation:

Since this is a 90 degree angle (indicated by the red box), we can put the two values added equal to 90

70+2x=90

Solve for x

2x=20

x=10

Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)

Answers

Answer:

(1, 11)

that the answer

I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the

following two points

that why i say that

Help please I give brainliest

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Answer:

I think its no association because the snow cone doesn't really tell you anything you can have a snow cone at any time of day

Step-by-step explanation:

Answer:

No association

Step-by-step explanation:

The average tempature decreases while the sales of snow-cones increase

People attending a basketball game either supported the home team or the visiting team. If 893 of the people attending supported the home team and 1007 supported the visiting team, what percentage supported the home team?

Answers

Answer:

47%

Step-by-step explanation:

893/1900=x/100 x=47%

Martin says that 1/3 + 1/6=2/9 Use the drop-down menus to explain why Martin is incorrect. Martin is incorrect because is incorrect ​

Answers

Answer:

A. is incorrect. He has to divide 76 by 19, instead of subtracting 19 to 76.

B. This equation has one solution. v=4

Step-by-step explanation:

Hi, Martin’s answer is incorrect.

A. He has to divide 76 by 19, instead of subtract 19 to 76.

The correct steps are:

19v = 76  

Since 19 is multiplying the variable, to eliminate it we have to divide by 19.

v = 76/19

v = 4

B. This equation has one solution. It’s v=4

Feel free to ask for more if needed or if you did not understand something.

a. less than

b.greater than

The formula for compound interest is:

Where:

A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for

If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?

Answers

Answer:

Future value, A = $642

Step-by-step explanation:

Given the following data;

Principal = $500

Interest rate = 5% = 5/100 = 0.05

Time, t = 5 years

n = 365

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]

[tex] A = 500(1 + 0.000137)^{1825}[/tex]

[tex] A = 500(1.000137)^{1825}[/tex]

[tex] A = 500*1.2840 [/tex]

Future value, A = $642

Can someone try to help me please??

Answers

Answer:

1) 180 degrees; straight angle

2) (5x-18)+(4x+45)=108

3) x=17

4) 90 degrees; right angle

5) (3x+6)+(5x+4)=90

6)x=10

Step-by-step explanation:

The ratio of red marbles to blue
marbles in Simran's bag is equal to 4
to 7. If there are 20 red marbles, how
many blue marbles are there?

Answers

20-23 red marbles makes the most sense

Which is the completely factored form of 3x2 – 12x – 15?

3(x + 1)(x – 5)
3(x – 1)(x + 5)
(3x + 1)(x – 15)
(3x – 1)(x + 15)

Answers

Answer:

(x - 5)(3x + 3)

Step-by-step explanation:

(x - 5)(3x + 3)

3x2 + 3x - 15x - 15

3x2 - 12x - 15

3/8 of a pizza was shared among 3 persons. how much pizza would each person get?​

Answers

1/8? I believe so ... yeah
each person would get one piece.

The solution to the following system of linear equations lies in which quadrant?
-2x + 3y = 8
4x + y=-2

Select one:
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV

Answers

It should be quadrant 2

The price of a 9-minute phone call $1.35. What is the price of an 11-minute phone call?

Answers

Answer:

1.65

Step-by-step explanation:

I did 1.35/9

The answer I got after dividing the two is 0.15.

Then I multiplied 0.15 by 11 and I got 1.65.

Elena is 56 inches tall what is her height in meters?

Answers

Answer: 1.4 meters

divide the length value by 39.37

56/39.37= 1.4

Three houses for of a bag of flour to make how many bags of flour does grandma need to buy if she is making 10 dozen cookies

Answers

Assuming you meant 3 dozen for a bag of flour the answers 4
If you meant 3 cookies for a bag of flour the answers 10

Yo help me out man plz bro

Answers

Answer:

this is a live quiz this doesn't follow brainly guidelines

Step-by-step explanation:

Answer:

after 5 years y\hfhfjdjrjrnufjrjdunens

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Answers

Answer:

if you divide both sides of -5x > 0 you get z > 0. This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get -30 > 0, which is not true

I put the answers in bold

hope this helps!

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

6x+3

simplified: 6x+3 (not sure if that’s what they’re asking but?)

PLEASE PLEASE HELP ME IM DESPERATE

Answers

Answer:

B) (4x+1)

Step-by-step explanation:

-8x^3/-2x^2=4x and -2x^2/-2x^2=1, hence 4x+1.

-12x/-3=4x and -3/-3=1, hence 4x+1

Convert 20 miles to km

Answers

Answer:

32.1869

Step-by-step explanation:

You can use an online converter!

You can look up Miles to KM

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Answers

Answer:

Step-by-step explanation:

C

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Answers

Answer:

$182.84

Step-by-step explanation:

169.30*0.08=13.54

13.54+169.30=

$182.84

Hope this helps!!

the value ax^2 + bx is 5 when x=1, and is equal to 0 when x=1.what are the values of a and b. explain how u arrived at your answer

Answers

Answer: a = 1.25, b = 2.5, c = 1.25

Step-by-step explanation:

Use vertex form and substitute a point into it (1, 5)

5 = a(1 + 1)^2 + 0

5 = a(2)^2 + 0

5 = 4a

a = 5/4

y = 5/4 (x + 1)^2

y = 5/4 (x^2 + 2x + 1)

1.25 x^2 + 2.5x + 5/4

Is there a "c" value otherwise it's not possible

ASAP..... The distance traveled after the driver hit the brakes.....
1: acceleration distance
2: Breaking distance
3: stopping distance
PLEASE HELP ILL GIVE YOU POINTS

Answers

Answer: 2. Breaking Distance

Answer:

2. Breaking distance

Step-by-step explanation:

The distance traveled after the driver hit the break is called breaking distance.

The matrix is used to solve a problem. Which of the following would be a solution to the problem?

Answers

The answer would be c because I know

Which of the following expressions are equivalent to 256^x? Select all that apply.

a. 8^2x
b. 4^4x
c. (64^x)^2
d. (16^x)^2
e. 2^8x​

Answers

Answer:

d

Step-by-step explanation:

i did it on eduhguenity

The solutions which satisfy the equation A = 256ˣ are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by A = 256ˣ

a)

The value of equation B = 8^2x

B = 8²ˣ

On simplifying the equation , we get

B = 8²⁽ˣ⁾

B = 64ˣ

And the value of B ≠ A

b)

The value of equation B = 4^4x

B = 4⁴ˣ

On simplifying the equation , we get

B = 4⁴⁽ˣ⁾

B = 256ˣ

And the value of B = A

c)

The value of equation B = (64^x)^2

B = (64ˣ)²

On simplifying the equation , we get

B = 64²⁽ˣ⁾

B = 4096ˣ

And the value of B ≠ A

d)

The value of equation B = (16^x)^2

B = (16ˣ)²

On simplifying the equation , we get

B = 16²⁽ˣ⁾

B = 256ˣ

And the value of B = A

e)

The value of equation B = 2^8x​

B = (2⁸)ˣ

On simplifying the equation , we get

B = 256⁽ˣ⁾

And the value of B = A

Hence , the equations which satisfy are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

PLZZZ HELP ME I DON'T GET THISq

Answers

Answer:

Step-by-step explanation:

To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70.  I hope '7' is part of the problem and not the question number

Answer:

7x + 70

Step-by-step explanation:

As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.

When we look at 7(8+x+2)

You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.

to break it down, do

7*8 = 56

7*x = 7x

7*2 = 14

From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.

Jane has 6 more than half the number of pairs of shoes that Mercedes has. Jane has j pairs of shoes, and Mercedes has m pairs of shoes. Write an equation that shows the relationship between j and m.

Answers

The correct equation is j= 1/2m +6

The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 17ft long

Answers

Answer:

The volume is 120.11ft^3

Step-by-step explanation:

Given

[tex]r = 1.5ft[/tex]

[tex]l = 17ft[/tex]

Required

Determine the volume

This is calculated as:

[tex]V = \pi r^2h[/tex]

h, in this case represents the length;

So, we have:

[tex]V = 3.14 * 1.5^2 * 17[/tex]

[tex]V = 120.11ft^3[/tex]

Could somebody help me with this please

Answers

Answer:

x=36

Step-by-step explanation:

if PQR is isosceles then

PRQ will also equal 69 degrees

straight line = 180 degrees

so if PRQ is 69, then

PRS = 180-69

= 111 degrees

now to find x , since we have two angles within that triangle

180 - 111 - 33 = 36 degrees

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