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:
4) -4
5) -6x-20
Step-by-step explanation:
Add x with x's and numbers with numbers
4) -6x + 9 + 6x -13
-6x+6x+9-13
x's cancel
9-13 = -4
5) 8x - 9 -11 -14x
8x-14x-9-11
-6x-20
hope this helps
Answer:
okay...... where is the question
Answer: x
−x 3 +x 2 +623x−2
Step-by-step explanation:
Answer:
7 , 5 , 9
Step-by-step explanation: