Answer:
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Answer:
Effective annual interest rate=0.52%
Explanation:
Step 1: Express the formula for calculating interest
The formula for calculating interest can be expressed as;
I=PRT
where;
P=principal amount borrowed
R=annual interest rate as a percentage
T=number of years
Step 2: Determine the value of the variables P, R and T
In our case;
I=$10
P=(125-10)=$115
R=unknown=r
T=2 months=2/12=1/6 years
replacing in the expression;
10=115×r×(2/12)
10=(230/12)r
r=10×12/230=0.5217
0.5217 rounded off to the nearest 2 decimal places is:
r=0.52%
Effective annual interest rate=0.52%
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Answer:
Mark will have at the end of six years the amount of $25,865.74
Explanation:
According to the given data we have the following:
First investment = 2500
Investment increasing at rate of 10%
Interest rate = 13%
t=6 years
Present value is given by formula = C * [((1+g)^n/(1+i)^n) - 1 ] / (g-i)
C is first value = 2,500
g is increase in investment = 0.10
i is intrest rate = 0.13
n is no of years = 6
Putting values into the equation
P = 2500* [((1+ 0.10)^6/(1+0.13)^6) - 1 ] / (0.10-0.13) 1.771561 2.08195
P = 2500* [((1.10)^6/(1.13)^6) - 1 ] / (-0.03)
P = 2500* [0.8509142870866 - 1 ] / (-0.03)
P = 2500* (-0.14908571)/ (-0.03)
P = 2500* 4.9695236
P=$12,423.809
Future value = P*(1+i)^t
= $12,423.809 *(1+0.13)^6
= $25,865.74
Mark will have at the end of six years the amount of $25,865.74
