American general offers a 7-year ordinary annuity with a guaranteed rate of 6.35% compounded annually. how much should you pay for one of these annuities if you want to receive payments of $10,000 annually over the 7-year period?

$ 55135.978

Step-by-step explanation:

At most, the present value of annuity must be paid. So we must find the present value of the annuity

Given in the problem, we have:

Periodic Payment = PMT = $10000

Rate of interest annually = i = 6.35 %= =0.0635

no. of periods= n=7

So to solve this, we need to use the present value formula:

Present Value = Periodic payment

Present Value = PMT

Present value = 10000

Present Value =10000

Present Value =10000 (5.5135978)

Present value= $ 55135.978

Which is the amount that must be paid at most to get annuities such that $10,000 annually over the 7-year period are to be received.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.