Answer: 0
Step-by-step explanation:
[24 - (15 + 2) +3] -9
[24-(17) +3] -9
[7 +3] -9
9 - 9 = 0
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: You do not because the tv costs $464.
Step-by-step explanation:
First find out how much 20% of 580 is:
= 20% * 580
= $116
The television was therefore marked down by $116. The current selling price is:
= 580 - 116
= $464
<em>Since you came with $450, you will not be able to buy the television as you would be short of the $464 required. </em>
5x+20+16
the expression is 5x+36
Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = 
, y = 12, then
k = 
= 
= 12 × 3 = 36
y = 36x ← equation of variation
