Applications of Logs & Expo Functions Day 2

Front

What is the growth or decay rate of h(t) = 15(.45)^t?

Back

decay rate 55%

Front

Tommy starts an ant farm with 100 ants. The ants increase at a rate of 4% each day. How many ants will Tommy have after 12 days?

Back

160

Front

An investment of $2,000 receives 5% interest annually. After approximately how many years has the investment increased to at least $2,500?

Back

5 years

Front

Ms. Reyes deposits $2500 in the bank and earns 5.49% interest monthly. Which equation can be used to determine the amount of money she has after 20 years? Options: A(x) = 2500(1 + .0549/12)¹²⁽²⁰⁾, A(x) = 2500(1 + .0549/12)⁽²⁰⁾, A(x) = 2500(1 + .0549)⁽²⁰⁾, A(x) = 2500(1 + .0549)¹²⁽²⁰⁾

Back

A(x) = 2500(1 + .0549/12)¹²⁽²⁰⁾

Front

$1,000 is deposited into an account with interest using the formula A = Pe^rt . Approximately how many years will it take for the account to have $3,000 if the interest is compounded continuously at 4.25%?

Back

26 years

Front

A sum of $1000 is invested at an interest rate of 12% per year. Find the amount in the account after 3 years if interest is compounded daily.

Back

$1433.33

Front

How long did it take for a grey squirrel population, introduced in Great Britain 30 years ago, to reach 100,000 with a 9% annual increase?

Back

67 years

Front

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

Back

$12,749.30

Front

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

Back

$2,225.54