Answer:
Step-by-step explanation:
Given is a differential equation as

Divide this by t to get in linear form

This is of the form
y' +p(t) y = Q(t)
where p(t) = 1/t
So solution would be

siubstitute y(1) = 16

The original annual simple interest rate, rounded to two decimal places, is 3.79%
What is the formula for simple interest?
The simple interest on a loan or deposit is determined as the principal multiplied by the simple interest rate and time
I=PRT
The first loan:
P=12 850.00
R=r(assume it is r)
T=4 years
I=12 850.00*r*4
I=51400r
The second loan was taken after 14 quarters the first was taken out, which is the same as after 3.5 years, hence, the interest on the second loan is only for a half a year
P=3 273.00
R=0.5r( half of the interest on the first loan)
T=0.5 years
I=3 273.00*0.5r*0.5
I= 818.25r
Total interest=51400r+818.25r
Total interest=52218.25r
total interest paid=1 980.00
1 980.00=52218.25r
r=1 980.00/52218.25
r=3.79%
Find out more about simple interest on: brainly.com/question/1115815
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The number of years it will take to earn his first million is 24 years
Average bi-weekly gross pay = $1,630
Bi-weekly = 2 weeks
Number of 2 weeks(bi-weeks) in a year = 26 bi-weeks
The least million he can earn is $1,000,000
Let the number of years = n
We could use the equation :
Least million = gross pay × (Number of bi-weeks × number of years)
1000000 = 1630 × (26n)
1000000 = 42380
Divide both sides by 34230
1000000 / 42380 = n
n = 23.59
The least number of years is 24.
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move the decimal to the left 6 times and you'll get .028578