Exponential Growth/Decay
If the initial value is 45, and the growth rate is 20%, what is the value in 10 years?
y = a(1 + r)x
Round to two decimal places
278.63
Is this an arithmetic or geometric sequence?
2, 4, 6, 8...
Arithmetic
Determine the amount of an investment if $900 is invested at an interest rate of 5% compounded monthly for 8 years.
$1,341.53
A weight lifter can bench-press 200 pounds. She plans to increase the weight W(x) in pounds that she is lifting according to the function W(x) = 200, where x represents the number of training cycles she completes. How much will she bench-press after 5 training cycles? (Round to two decimal places)
About 243.33 pounds
What is the common ratio of the following sequence?
1, -4, 16, -64,...
R = -4
Maria’s parents invested $9,800 at 4% per year compounded 4 times a year. How much money will be in the account after 12 years?
$14,021.53
During an economic recession, a charitable organization found that its donations dropped by 1.1% per year. Before the recession, its donations were $390,000. Estimate the amount of the donations 5 years after the start of the recession. (Round to two decimal places)
$369,016.74
-393216
When Lucy was 10 years old, her father invested $2500 in a fixed rate savings account at a rate of 8% compounded semiannually. When Lucy turns 18, the money will help to buy her
a car. What amount of money will Lucy receive from the investment?
$4682.45
Alba purchased a new car for $25,000 and has $5000 left to invest.
If her car depreciates at 8%, how long would it take for the car to cost half of its original price?
In other words, after how many years will the car be worth LESS than half the original value?
After 14 years
Find the first 5 terms of the sequence:
a1 = 7, an = an-1(4)
7, 28, 112, 448, 1792
Alba purchased a new car for $25,000 and has $5000 left to invest.
How long would it take for her investment of $5000 to double, if it has an interest rate of 5%, compounded monthly?
In other words, after how many years will she have double her initial investment?
After 9 years
Alba purchased a new car for $25,000 and has $5000 left to invest.
Compound Interest rate: 5%
Depreciation rate: 8%
A) Find the length of time it would take for the investment to be equal to the value of the car.
B) What is the value at that time?
Time: 9.3 hours
Value: $11,511.80