Answer:
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Step-by-step explanation:
Answer:
It is given that Rectangle Q has an area of 2 square units.
Thea Drew a scaled version of Rectangle Q and marked it as R.
As you must keep in mind If we draw scaled copy of pre-image, then the two images i.e Pre-image and Image are similar.
As you have not written what is the scale factor of transformation
Suppose , Let the Scale factor of transformation= k
Rectangle Q = Pre -image, Rectangle R= Image
If, Pre-Image < Image , then scale factor is k >1.
But If, Pre-Image > Image , then Scale factor will be i.e lies between, 0<k<1.
Given the rate of water flow is given by:
r(t)=85e^(-0.04t)
thus the amount of water flow in the first hour when t=1, will be:
r(1)=85e^(-0.04*1)
=81.667
thus the amount of water that flowed out will be:
85-81.667
=3.333 liters
Answer:
(a) 3 years FV=$4,221.80
(b) 6 years FV=$5,092.46
(c) 9 years FV=$6,142.69
Step-by-step explanation:
The formula for continuously compounded interest is
FV = PV x e^(i x t)
where,
FV=future value of the investment,
PV= present value,
i = stated interest rate,
t = time in years,
e= mathematical constant approximated as 2.7183.
In this case,
PV=$3,500
i = 6.25%
(a) 3 years
FV = PV x e^(i x t)
FV = $3,500 x e^(6.25%x3)
FV=$4,221.80
(b) 6 years
FV = $3,500 x e^(6.25%x6)
FV=$5,092.46
(c) 9 years
FV = $3,500 x e^(6.25%x9)
FV=$6,142.69