Answer:
Step-by-step explanation:

Cross-multiplying will give us the following:

Dividing both sides by
will give us our answer:

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:
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Step-by-step explanation:
Answer:
max wil sell 52 because the first hour he sold 12 5hours -1 hour = 4 hour
4 hour × 10 p/h= 40
max sold 12+40 =52
leah will sell 58 because the first hour she sold 8
5hours - 1hour = 4 hours
4hours× 10 glasses p/h = 40
leah sold 40+8 =48 glasses