Question

3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use

Answer 1

Answer:

Coin A : $V(t)=25(1.07)^t$

Coin B : $V(t)=40(1.05)^t$

Step-by-step explanation:

Consider the given formula is  

$V(t)=P(1+r)^t$

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

$V(t)=25(1+0.07)^t$

$V(t)=25(1.07)^t$

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

$V(t)=40(1+0.05)^t$

$V(t)=40(1.05)^t$

Therefore, the required equations for coin A and B are $V(t)=25(1.07)^t$ and $V(t)=40(1.05)^t$ respectively.