We can use the compound interest formula
F=P(1+i)^n
where
F=Future value of investment to be found
P=present value of investment ($1000)
i=interest per period (1/4 year)=0.04/4=0.01
n=number of periods (3 years * 4 quarters = 12)
Substitute or "Plug in" values, so to speak,
F=1000*(1+0.01)^12
use a calculator to do the sum
=1126.83 (to the nearest cent, and use the proper rounding rules)
You'll actually need to graph for the first segment
but the second part can be solved with algebra
The equation of the line is y(x)=-x
if we test the co0ordinates we can find if the point lies on the line
(5,5)
y(x)=-x
Using the x co-ordinate
y(5)= -5
y=-5
Leaving us with (5,-5)
Because (5,-5) is not (5,5)
This is not a point on the line
The slope of the line is -1
Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals 1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500
She would weigh 48.98
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