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:
x=35
Step-by-step explanation:
2x+15+2x-10+x=180
combine factors
5x+5=180
-5 from both sides
5x=175
divide 175/5x
x=35
Answer: 16) 
(17) 
(18) 
(19) 3x - 18
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's and then solve for y
16) Given: y = x²
Swapped: x = y²
17) Given: y = 2x + 4
Swapped: x = 2y + 4
x - 4 = 2y
18) Given: y = (x + 2)²
Swapped: x = (y + 2)²
√x = y + 2
19) Given: 
Swapped: 
3(x - 6) = y
3x - 18 = y
Answer:
Elizabeth had the highest winning ratio
Step-by-step explanation:
if you take both baskets and divide each of them by their misses you will get that Elizabeth's ratio is 2.78 while Alex's ratio is 2.5
2*2=4 first you multiply
4-1=3 then subtract
3+3=6 now you add and that is your answer =6
