Please help!
2 answers:
Answer:
<h2>y = 1/3x + 20</h2>Step-by-step explanation:
Here we have to analyse to get the answer.
<em>x </em>represents the amount of minutes Ken take's to leave work, and he's leaving 20 minutes later. So, at this point he is gonna take (<em>x + 20) minutes </em>to go home. But, he decide to take the roll road, which make him get home 3 times faster, here is the common mistake, people tend to multiply <em>3x, </em>but if we analyze, that would mean that he's taking more time to get home, instead, the problem says that he is gonna be home faster.
So, the expression of going home three times faster is , which is a decreasing factor.
Now, if we add the 20 minutes late:
At last, if we represent all this as a linear function or equations, we add the other variable:
Therefore, the correct answer is the first option.
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Answer:
$1699.25
Step-by-step explanation:
Data:
Cost = $314 000
Down payment = 18 %
Term = 20 yr
i = 5 %/yr
Calculations:
(a) <em>Down payment </em>
Down payment = 314 000 × 0.18
= $56 520
(b) <em>Amount financed </em>
Cost = $314 000
-Down payment = <u> 56 520</u>
Financed = $257 480
(c) <em>Monthly payments </em><em> </em>
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is
We must express the interest rate on a monthly basis.
I = 5 %/yr = 0.41 667 %/mo = 0.004 1667
n = 2 × 12 = 240 mo
P = $1699.25
Carlos' monthly mortgage payment will be $1699.25.
The inverse function is f(x) = , which makes the inverse at x = 2 equal to 0.
All inverse functions can be found by switching the x and f(x) values. Once that is done, solve for the new f(x) value. The result will be the inverse of the original function. The step-by-step process is below.
f(x) = 3(x + 2) - 4 ----> Switch the x and f(x)
x = 3(f(x) + 2) - 4 ----> Add 4 to both sides
x + 4 = 3(f(x) + 2) ----> Divide both sides by 3
= f(x) + 2 ----> Subtract 2 from both sides.
f(x) =
The end is your inverse function. So then we can evaluate when x = 2.
f(x) =
f(2) =
f(2) =
f(2) =
f(2) = 0