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Exponential and Logarithm Review
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Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded monthly. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
$8361
A thousand dollars is left in a bank savings account drawing 7% interest, compounded quarterly for 10 years. What is the balance at the end of that time?
$2001.60
Your investment of $1,200 gets 5.1% and is compounded semi annually for 7 1/2 years. What will your investment be worth at the end of the term?
$1,750.72
A thousand dollars is left in a credit union drawing 7% interest compounded monthly. What is the balance at the end of 10 years?
$2009.66
Given the following exponential function, identify the percent growth/decay.
36% growth
Given the following exponential function, identify the percent growth/decay.
9.1% decay
Given the following exponential function, identify the percent growth/decay.
2% growth
Given the following exponential function, identify the percent growth/decay.
3% decay
Given the following exponential function, identify the percent growth/decay.
98% growth
Given the following exponential function, identify the percent growth/decay.
95% decay
A savings account balance is compounded continuously. If the interest rate is 3% per year and the current balance is $1,115.00, what will the balance be 10 years from now?
$1,505.09
An employee receives a 2% raise once per year. If the employee's initial salary is $63,200.00, in how many years will the employee's salary reach $75,529.85?
≈ 9 years
For tax purposes, a car rental company assumes each car in their fleet depreciates by 5% per year. If the initial value of a car is $32,200.00, in how many years will the value depreciate to $23,669.96?
≈ 6 years
A savings account balance is compounded annually. If the interest rate is 3% per year and the current balance is $1,459.00, in how many years will the balance reach $1,742.12?
≈ 6 years
For tax purposes, a car rental company assumes each car in their fleet depreciates by 5% per year. If the initial value of a car is $27,300.00, what will the value be when the car is 10 years old?
$16,345.52
A new social media site is increasing its user base by approximately 4% per month. If the site currently has 39,890 users, what will the approximate user base be 8 months from now?
54,592 users
A savings account balance is compounded annually. If the interest rate is 2% per year and the current balance is $1,098.00, what will the balance be 9 years from now?
$1,312.21
Solve the equation and round to the nearest ten-thousandth.
185.1429
Solve the equation and round to the nearest ten-thousandth.
9992
Solve the equation and round to the nearest ten-thousandth.
-0.4658
Solve the equation and round to the nearest ten-thousandth.
1.3024
Solve the equation and round to the nearest ten-thousandth.
1
Solve the equation and round to the nearest ten-thousandth.
.005
Solve the equation and round to the nearest ten-thousandth.
93
Solve the equation and round to the nearest ten-thousandth.
36
Solve the equation and round to the nearest ten-thousandth.
-0.8856
Solve the equation and round to the nearest ten-thousandth.
5.152
Solve the equation and round to the nearest ten-thousandth.
1.0873
Solve the equation and round to the nearest ten-thousandth.
1.4882
Solve the equation and round to the nearest ten-thousandth.
1.5572
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