What will happen if a shoe firm sells its shoes at a price lower than the opportunity cost of the inputs used in the production
1 answer:
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Answer:
<em>It will take me </em>= <em>30.99 years</em> to pay-off the borrowed amount paying $60.00 every month
Explanation:
SOLUTION:
Using the Formula: A = P(1+r/n)
Where:
A= $60.00;
P = $3,200.00;
r = 12.9%;
n = 12
t =?
Substituting the values into the Formula =
$60 = $3,200(1 + 12.9%/12)
= $60 = $3,200(1 + 12.9%/12)
= $60.00 = $3,200.00 (1 + 0.129/12)
= $60.00 = $3,200.00 (1 + 0.01075 )
= $60.00 = $3,200.00 (1.01075 )
= $60.00/$3,200.00 = $3,200.00 (1.01075 )/$3200.00
= 0.01875 = (1.01075)
= Using the law of logarithm
= log = Nlog A
=12tlog(1.01075) = log0.01875
= 12log(1.01075)/(1.01075) = log0.01875/log(1.01075)
= 12t = log(0.01875)/log1.01075
= 12t = 1.7270/0.04644
Divide 12 by both sides
=12t/12 = 371.88774/12
t= 30.9898
<em>∴ 30.99 years</em>
<em>It will take me </em>= 30.99 years to pay-off the borrowed amount paying $60.00 every month
Answer:
1. Interest compounded annually = $18,049.74
2. Interest compounded quarterly = $18,493.77
3. Interest compounded Monthly = $18,598.16
4. Interest compounded continuously = $18,651.19
Explanation:
First let me state the formula for compound interest:
The future value of a certain amount which is compounded is the total amount (Principal + interest) on the amount of money, after compound interests have been applied, and this is shown below:
FV = PV
where:
FV = Future value
PV = Present value = $7,000
r = interest rate in decimal = 0.07
n = number of compounding periods per year
t = compounding period in years = 14
For interests compounded continuously, the Future value is given as:
FV = PV ×
where
is a mathematical constant which is = 2.7183
Now to calculate each on the compounding periods one after the other:
1. Interest compounded annually:
here n (number of compounding periods annually) = 1
Therefore,
FV = 7,000 ×
FV = 7,000 × = $18,049.74
2. Interest compounded quarterly:
here, n = 3 ( there are 4 quarters in a year)
FV = 7,000 ×
FV = 7,000 × = $18,493.77
3. Interest compounded Monthly:
here n = 12 ( 12 months in a year)
FV = 7,000 ×
FV = 7,000 × = $18,598.16
4. Interests compounded continuously:
FV = PV ×
FV = 7,000 × 2.66446 = $18,651.19