91Ó°ÊÓ

The equations describe the value of investments after \(t\) years. For each investment, give the initial value, the continuous growth rate, the annual growth factor, and the annual growth rate. $$ V=3500 e^{0.173 t} $$

Find the starting value \(a\), the growth factor \(b\), and the growth rate \(r\) for the exponential function \(Q=\) \(500 \cdot 2^{t / 7}\)

Do the exponential expressions represent growth or decay? $$ 42.7(0.92)^{t} $$

Write a formula for the quantity described. The balance in an interest-bearing bank account, if the balance triples in 20 years.

The equations describe the value of investments after \(t\) years. For each investment, give the initial value, the continuous growth rate, the annual growth factor, and the annual growth rate. $$ V=7500 e^{-0.059 t} $$

Are the functions exponential? If so, identify the initial value and the growth factor. $$ Q=0.75(0.2)^{t} $$

Which is better, an account earning \(2 \%\) per month or one earning \(7 \%\) every 3 months?

Solve the equations in Exercise given that $$ f(t)=2^{t}, \quad g(t)=3^{t}, \quad h(t)=4^{t} $$ \(2 g(t)=162\)

Do the exponential expressions represent growth or decay? $$ 0.98(1.003)^{t} $$

The equations describe the value of investments after \(t\) years. For each investment, give the initial value, the continuous growth rate, the annual growth factor, and the annual growth rate. $$ V=17,000 e^{0.322 t} $$