Answer:
Step-by-step explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it
n
.
Next let's create the sum of a number and one. This would be:
n
+
1
.
Then to get five times this number we need to multiple this expression by five to get:
5
⋅
(
n
+
1
)
Using the monthly payment formula, it is found that her down payment should be of $1,419.
<h3>What is the monthly payment formula?</h3>
It is given by:

In which:
- n is the number of payments.
For this problem, the parameters are:
A = 250, r = 0.072, n = 72.
Hence:
r/12 = 0.072/12 = 0.006.
We solve for P to find the total amount of the monthly payments, hence:


0.0171452057P = 250
P = 250/0.0171452057
P = $14,581.
The total payment is of $16,000, hence her down payment should be of:
16000 - 14581 = $1,419.
More can be learned about the monthly payment formula at brainly.com/question/26476748
#SPJ1
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
Answer:
26.5
Step-by-step explanation:
used calculator
First we distribute

into

and

.


That makes the left side of the equation

Now we subtract

from

, which makes

Now the equation is

Our goal is to isolate

, so we both sides by 30
That will make the equation

We multiply -1 on both sides of the equation:

Finally we simplify

, which makes
So the answer is