James bought a $19000 new car. It is estimated that the value of his car will depreciate at a rate of 9% each year.
a.
Write an exponential to model this situation.
b.
How much will James's car be worth in 4 years?
C.
About how long will it take for James's car to be worth $6733?

A. I think you have to draw a graph or something, I'm a little confused on A.

B. about 7 years and 2 months

C. $12160

Step-by-step explanation:

$1900 x .09 = $1710 yearly

1710 ÷ 12 (months) = $142.5 each month

B. I kept subtracting 1710 until i got to 7030. From 7030, I subtracted by 142.5 and got 6745 but not 6733

So I'm not sure if you shoukd use my answer. I did try my hardest, but still wasn't able to get exactly 6733.

C. $1710 × 4 = 6840

19,000 - 6840 = $12160

I hope this was helpful. Apologies if I did not give you the answer you wanted :(

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

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.