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ollegr [7]
3 years ago
12

A company invests $15,000.00 in an account that compounds interest annually. After two years, the account is worth $16,099.44. U

se the function in which r is the annual interest rate, P is the principal, and A is the amount of money after t years. What is the interest rate of the account?
A = P(1 + r)t

1.04%
3.6%
5.4%
7.3%
Mathematics
1 answer:
ANEK [815]3 years ago
6 0
Principal = $15000
Amount = $16099.44
Rat of interest = r
Time = 2 years
Then
A = P(1 + r)^t
16099.44 = 15000 (1 + r)^2
(1 + r)^2 = 1.073
(1 + r)^2 = (1.036)^2
Then
1 + r = 1.036
r = 1.036 - 1
  = 0.036
  = 0.036/100
  = 3.6%
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option.
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8 0
1 year ago
the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls
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First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:
\frac{B}{G} =  \frac{1}{4}

If you cross-multiply, then you get the simplified equation:
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Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
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To solve the equation, replace the G in this equation with the replacement you found before, 4B.
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