The given formula is f(x) = 20(1.2)^x
The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.
A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)
B) the original amount is $20
C) for 2 weeks, replace x with 2 and solve:
20(1.2)^2
20(1.44) = $28.80
After 2 weeks the coupon is $28.80
D) To solve for the number of weeks (x) set the equation equal to $100:
100 = 20(1.2)^x
Divide both sides by 20:
5 = 1.2^x
Take the natural logarithm of both sides:
ln(5) = ln(1.2^x)
Use the logarithm rule to remove the exponent:
ln(5) = x ln(1.2)
Divide both sides by ln(1.2)
x = ln(5) / ln(1.2)
Divide:
X = 8.83
At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100
The answer is 9 weeks.
Answer:
13.4±2.132(1.02/5)
Step-by-step explanation:
Khan Academy
To find the answer to -10x=-210 you must divide -210 by -10
-210/-10= 21
Therefore x=21
So the proper equation is -10(21)=-210
Answer
≈75.36ft
Step-by-step explanation:
C=2πr
C=24π
C≈75.3982
Or, if you substitute π with 3.14 instead:
C=2(3.14)r
C=6.28(12)
C=75.36
Hope this helps! Tell me if you have any questions!
