Connie deposits $30 into an account. The value of the account, in dollars, can be modeled as V (t) = 30(1.05), where t is the time, in years, since opening the account. To the nearest cent, what is the average rate of change in the value of the account for the first 3 years?
A
$0.63/year
1.
B
$1.58/year
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С
$3.15/year
D
$4.73/year

Step-by-step explanation:

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.

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a