Answer:
when n=0, x=18°
when n=1, x= 90°
when n=2 x=18+72*2=162°
when n=3, x=18+72*3=234°
when n=4, x=18+72*4=306°
or
x= 18 + 72n, when n={0,1,2,3,4}
Step-by-step explanation:
4sin(5x) =4
sin(5x) = 1
sin(α) = 1, when α=90° + 360n
5x = 90° +360n
x= 18 + 72n
when n=0, x=18°
when n=1, x= 90°
when n=2 x=18+72*2=162°
when n=3, x=18+72*3=234°
when n=4, x=18+72*4=306°
when n=5, x°=18+72*5 = 378°
General answer : x= 18 + 72n, when n={0,1,2,3,4}
Answer:
h=16
Step-by-step explanation:
h-9=7
h=9+7
h=16
I hope this helps.
Answer: 8 is the length of all sides of the square, So c
Step-by-step explanation:
L * W = Area
4 x 16 = 64
64 is the area of the regtangle, and so is the square.
Squares have even sides, so find the square root of 64:
8 is the square root of 64
so 8 is the answer
Answer:
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Step-by-step explanation:
Answer:
$11,500 was invested at 13%.
$17,500 was invested at 4%
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:
Loans totaling 29,000.
P was invested at 13%
29000 - P was invested at 4%.
First investment:
Principal P.
Interest 13% = 0.13.
One year, so t = 1.
So


Second investment:
Principal 29000 - P.
Interest 4% = 0.04.
One year, so t = 1.
So

The total interest earned for both loans was $2,195.00.
This means that 
So

So we solve the following system:







$11,500 was invested at 13%.
29000 - 11500 = 17500
$17,500 was invested at 4%