Ann and tom want to establish a fund for their grandson's college education. What lump sum deposit at a 12.7% annual interest rate compounded annually interest rate in order to have 20,000 in the fund at the end of 15 years

2,683.34

Step-by-step explanation:

A=p(1+r/n)^nt

P=A/(1+r/n)^nt

A=20,000

r=12.7%=0.127

t=15

n=12

P=?

P=20,000/(1+/0.127/12)^12.7*15

=20,000/(1+0.0106)^190.5

=20,000/(1.0106)^190.5

=20,000/7.4534

P=2,683.3391

Approximately

P=2,683.34

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92