Answer:
g(2) = 27 is the answer.
Step-by-step explanation:
If the function is g(x) = (5 - x)³
By expanding (5 - x)³ = 5³-3.5²x + 15x² -x³
g(x) = 125 - 75x + 15x² - x³
Now g(2) = 125 - 75×2 + 15×(2)² - 2³
g(2) = 125 - 150 + 60 - 8
= -25 + 60 - 8
= 35 - 8 = 27
Or directly putting the value x = 2 in g(x) we get
g(2) = (5 - 2)³ = 3³ = 27
Therefore g(2) = 27 is the answer.
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 45.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 45.5 is 100%, so we can write it down as 45.5=100%.
4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.
5. Now we have two simple equations:
1) 45.5=100%
2) x=6.81%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
45.5/x=100%/6.81%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 6.81% of 45.5
45.5/x=100/6.81
(45.5/x)*x=(100/6.81)*x - we multiply both sides of the equation by x
45.5=14.684287812041*x - we divide both sides of the equation by (14.684287812041) to get x
45.5/14.684287812041=x
3.09855=x
x=3.09855
now we have:
6.81% of 45.5=3.09855
Hope this helps!
answer:
$6.65
Step-by-step explanation:
He would earn 21 quarters in 3 weeks.
Because there are 7 days in a week: Multiply 7×3=21
21 quaters in dollars is equal to $5.25
So you add $1.40+$5.25=$6.65
Answer:
A
Step-by-step explanation:
Tess is going to purchase a new car that has a list price of $29,190. She is planning on trading in her good-condition 2006 Dodge Dakota and financing the rest of the cost over four years, paying monthly. Her finance plan has an interest rate of 10.73%, compounded monthly. Tess will also be responsible for 7.14% sales tax, a $1,235 vehicle registration fee, and a $97 documentation fee. If the dealer gives Tess 75% of the listed trade-in price on her car, once the financing is paid off, what percent of the total amount paid will the interest be? (Consider the trade-in to be a reduction in the amount paid.) <u> ANSWER A</u>
