The hospital spent 8^5 dollars on a new medical equipment this year. last year, they spent 8^7 dollars. how many times more did they spend last year than this year?

64 times

Step-by-step explanation:

we know that

To find out how many times more did they spend last year than this year, divide the amount spent last year by the amount spent this year

Remember that

When divide two exponents with the same base, you keep the base and subtract the powers.

we have

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.