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: n = -25
Step-by-step explanation:
you would need to get N by itself so you would subtract 2n from both sides and that would bring you to n+75=50 and then you would need to subtract 75 from both sides and that leads you to n=-25
Answer: 84
<u>Step-by-step explanation:</u>
Set up a proportion as follows: 

Cross multiply: 12x = 7 × 144
Divide by 12: x = 7 × 12
Simplify: x = 84
Step-by-step explanation:
x-int
-7x=28
x=-4
(-4,0)
-4y=28. y-int
y=-7
(0,-7)
Answer:
12.50y
Step-by-step explanation:
- If 1 ltr=12.50
- what about y ltrs
Therefore, 1 ltr= 12.50
y ltrs=?
you do cross multiplication
hence, 12.50 × y= 12.50y
total cost= sh.(12.50y)