1/4th of Mai’s height is equal to 2/5th of Jon’s height
Let 'x' represent Mai's height and 'y' represent Jon's height.
Therefore, 1/4th of "x" should be equal to 2/5th of "y". This gives us the following equation :
(1/4)x = (2/5)y
multiply both sides by 4/y
x/y = 4*(2/5)
x/y = 8/5
x:y = 8:5
The ratio of Mai's s height to Jon's height is 8 to 5
The one time investment of $1000 would worth $10285.72 after 40 years at 6% rate of return
What is annual compounding?
Annual compounding means that the number of times interest is compounded annually is once, compared to semiannual compounding where the interest on the investment is calculated twice a year.
The worth of the investment after 40 years means its future value after having invested $1000 for 40 years using the below formula for future value of a single cash flow:
FV=PV*(1+r)^N
FV=future worth of investment=unknown
PV=initial investment=$1000
r=rate of return=6%
N=number of years of investment=40
FV=$1000*(1+6%)^40
FV=$1000*1.06^40
FV=$1000* 10.2857179371259
FV=$10285.72
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Answer:
dc/dx = 0 when x = 20. hence fence is 20×40
Step-by-step explanation:
Given data:
Rectangular Area = 800 ft^2
three side material cost = $5 per ft
fourth side material cost is $15 per ft
let expensive side is x and other dimension assume to be y
Then cost is c
c = 5(x+ 2y) + 15 x
xy = 800, so y = 800/x
c =5(x+ 1600/x^2) + 15x
for minimum when dc/dx = 0
(2x-40)(2x+40) = 0
x = 20
dc/dx = 0 when x = 20. hence fence is 20×40
Answer:
24
Step-by-step explanation:
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