Let m(<N) be x;
We have m(<M) = 1.5x;
We solve the equation: 75 + x + 1.5x = 180;
75 + 2.5x = 180;
2.5x = 105;
x = 105 ÷ 2.5;
x = 42;
Finally, m(<M) = 63 degrees;
Answer:
The value of the acount after t years is of 
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that
. So



The value of the acount after t years is of 
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
Answer:
120 degrees
Step-by-step explanation:
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
<BCD = 2x = 2 * 60 = 120
Thus, the answer is 120 degrees.
Hope this helps!
Answer:
The graph move up 5.
Step-by-step explanation:
When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)
Answer:
54
Step-by-step explanation:
BEDMAS
z=10
(10)3-3(2-10)
=(10)3-3(-8)
=30-(-24) *2 negatives = a positive
=30+24
=54