Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
Answer:
Correct V100 is right
Step-by-step explanation:
Option B. The balance will increase more and more each year, but it will not be linear. Unlike simple interest that tends to produce linear graphs; the returns when compounded can get very astronomical. The mathematics behind compound interest is "multiplication". Your funds get multiplied, not added or decreased and this is because the previous interest is accrued on the principal and the current interest. Unlike compound interest simple interest is linear, it increases (or decreases) steadily. As time goes on with simple interest, one's returns increases very steadily but this is unlike compound interest. So yes, Option B, the balance will increase more and more each year, but it will not be linear.
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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