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1 answer:
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Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines
Plug in the values
Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11
Sin(B) = 0.3936
B =
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:
Plug in the values
Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)
a = 7.60294329 ≈ 7.6 (nearest tenth)
Answer:
future payment is $77056.92
total interest is paid after 45 year is $23056.42
Step-by-step explanation:
Given data
payment (P) = $100
No of installment (n) = 12
rate of interest ( r ) = 1.5 % i.e. = 0.015
time period (t) = 45 years
to find out
future payment and interest after 45 year
solution
we know future payment formula i.e. given below
future payment = payment ×
now put all these value in equation
future payment = $ 100 ×
future payment = $ 77056.92
payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000
total interest = future payment - money paid
total interest = $77056.42 - $54000
total interest = $23056.42