On Melissa's 6th birthday, she gets a $5000 CD that earns 3% interest, compounded . If the CD matures on her 10th birthday, how much money will be available?

$5,632.45

Step-by-step explanation:

Assuming it is compounded semiannually, A(t) = P(1 + (r/n))^(n*t)

A(4) = 5000*(1 + (0.03/2))^(2*4)

A(4) = 5,000*(1.015)^8

A(4) = 5,000*1.12649

A(4) = $5,632.45

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.