Suppose you want to have $700,000 for retirement in 30 years. your account earns 7% interest.
a) how much would you need to deposit in the account each month?
b) how much interest will you earn ?

If interest is compounded yearly at 7% for 30 years, to reach $700,000, you must start with a deposit of $1,000, and add monthly contributions at $589.

a) $589 monthly if starting at $1,000

b) $487,274.56 interest earned out of the $700,314.56 total

Step-by-step explanation:

1. Understand Compound Interest Formula:

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

A=final amount

P=initial principal balance

r=interest rate

n=number of times interest applied per time period

t=number of time periods elapsed

2. Plug in values.

3. Solve. (Should get based on values written above ≈ $700,314.56)

4. To solve for interest find out how much you contributed using this "formula": x + yz = total amount contributed by depositor, where x is the starting amount, y is the number of times you added money into the account (in terms of years, so if monthly then 12 times the # of years), and z is the amount contributed each time.

5. The answer to #4 in this case would be $213,040.00. It may differ if you changed the values from what I wrote in the "answer section".

6. You can now subtract this number from the total you solved for in #3. The answer should be $487,274.56 (or it may differ if you chose different values from the "answer section").

**see screenshots for more information...

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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