Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 3.5%/year compounded monthly. If the future value of the annuity after 15 years is $55,000, what was the size of each payment?

The size of each payment is $232.70.

Step-by-step explanation:

The formula to compute the future value of annuity is:

Here,

FV = Future value = $55,000

r = interest rate = 3.5% = 0.035/12 = 0.00292

n = number of periods = 15 × 12 = 180

P = Periodic payments.

Compute the monthly payments as follows:

Thus, the size of each payment is $232.70.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.