Question

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

the formula:
Vt) = P(1 + r) where V(t) is the value of the coin in t years, Please HELP! help on number three

Answer 1

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

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

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.