Answer:
The answers to your questions are given below.
Step-by-step explanation:
1. m∠1 and m∠2 are complementary. This statement was given from the question.
2. m∠1 + m∠2 = 90°. Complementary angles add up to give 90°.
3. m∠2 = 74°. This was given in the question.
4. m∠1 + 74 = 90°. Since m∠1 and m∠2 are complementary. Their sum will add up to give 90°
5. m∠1 = 16°
We can prove m∠1 = 16° as shown below:
m∠1 + m∠2 = 90° (complementary angles)
m∠2 = 74°
m∠1 + 74 = 90°
Collect like terms
m∠1 = 90 – 74
m∠1 = 16°
Apply simple interest formula
future value = present value (1+n*rate)
n=number of years
rate = annual interest rate in decimal
Plug in values,
10000=3900(1+0.0783*t)
1+0.0783t=10000/3900
t=(10000/3900-1)/0.0783
=19.98 years.
With compound interest, future value=present value (1+rate/n)^(nt)
n=1,rate=0.0783, future value=10000, present value=3900,
t=log(10000/3900)/log(1.0783)=12.49 years.
Answer
6
Step-by-step explanation: