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?

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

Answer:

$182.84

Step-by-step explanation:

169.30*0.08=13.54

13.54+169.30=

$182.84

Hope this helps!!

Answer:

Step-by-step explanation:

6x+3

Answer: 1.4 meters

divide the length value by 39.37

56/39.37= 1.4

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.

Answer:

32.1869

Step-by-step explanation:

You can use an online converter!

You can look up Miles to KM

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

Answer:

Answer is D: 3

Step-by-step explanation:

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]

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

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

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

Answer:

47%

Step-by-step explanation:

893/1900=x/100 x=47%

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:

Answer:

(x - 5)(3x + 3)

Step-by-step explanation:

(x - 5)(3x + 3)

3x2 + 3x - 15x - 15

3x2 - 12x - 15

Answer:

Step-by-step explanation:

C

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

Answer:

2. Breaking distance

Step-by-step explanation:

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

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:

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

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

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

Answer:

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

Step-by-step explanation:

Answer:

after 5 years y\hfhfjdjrjrnufjrjdunens

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.