Answer:
5 years
Step-by-step explanation:
In the question we are given;
- Amount invested or principal amount as $5048
- Rate of interest as 4% compounded 12 times per year
- Amount accrued as $6,163.59
We are required to determine the time taken for the money invested to accrue to the given amount;
Using compound interest formula;
where n is the interest period and r is the rate of interest, in this case, 4/12%(0.33%)
Therefore;
introducing logarithms on both sides;
But, 1 year = 12 interest periods
Therefore;
Number of years = 60.61 ÷ 12
= 5.0508
= 5 years
Therefore, it will take 5 years for the invested amount to accrue to $6163.59
Y=mx+b
m=0.5
b is value of y in y-intercept, b=-2
The equation of this line is
y=0.5x-2
When x=4
y=0.5x-2=y=0.5*4-2=2-2 = 0
When x=4, y=0.