Answer:
x = 5
Step-by-step explanation:
We have: The sum of the measures of angle M and angle R is 90°
M + R = 90°
M = (5x + 10)°
Plug M into (1)
the equation: (5x + 10)° + R = 90° (2)
R=55° into (2)
(5x + 10)° + 55° = 90°
5x + 10 + 55 = 90
5x + 65 = 90
5x = 25
x = 5
Answer:
Opt. 1 -3 ≤ x ≤ 3
Step-by-step explanation:
Inequalities are regions, the attached picture shows us a region located between -3 and 3, the dots used are solid, this means that the value '3' is include in the region.
Hence the variable is narrowed to -3 and 3.
Answer:
p = $ 12521.82
Step-by-step explanation:
Interest Rate = 3.6 %, Compounding Frequency: Semi-Annual, Equivalent Annual Interest Rate
%
Number of Repayments is 11 with 10 being equal in magnitude and the last one being worth $ 270, the first repayment comes at the end of Year 2
Let $ p be the level payments that required. Therefore,
![100000 = p\times \frac{1}{0.0363} \times [1-\frac{1}{(1.0363)^{10}}] \times \frac{1}{(1.0363)} + \frac{270}{(1.0363)^{12}}](https://tex.z-dn.net/?f=100000%20%3D%20p%5Ctimes%20%20%5Cfrac%7B1%7D%7B0.0363%7D%20%5Ctimes%20%5B1-%5Cfrac%7B1%7D%7B%281.0363%29%5E%7B10%7D%7D%5D%20%5Ctimes%20%5Cfrac%7B1%7D%7B%281.0363%29%7D%20%2B%20%5Cfrac%7B270%7D%7B%281.0363%29%5E%7B12%7D%7D)
100,000 - 176.01 = p x 7.972
p = $ 12521.82