Answer:
$ 3,018.93
Step-by-step explanation:
This question is asking us to find the Principal.
Hence, the formula for compound interest that is compounded continuously is :
A = Pe^rt
P = Principal/Initial amount
A = Amount after investment = $7500
r = Interest rate = 7% = 0.07
t = time in years = 13 years
Hence,
7500 = Pe^0.07 × 13
P = 7500/e^0.07 × 13
P = 7500/e^0.97
P = $3018.9316803
Approximately P (The amount that should be invested ) = $3,018.93
The area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle in which the shaded region is shown.
The radius of the small circle r = 3 cm
The radius of the large circle R = 3+4 = 7 cm
The area of the shaded region:
= area of the large circle sector - an area of the small circle sector
= (120/360)[π7²] - (120/360)[π3²]
= 49π/3 - 3π
= 40π/3 square cm or
= 13.34π square cm
Thus, the area of the shaded region is 40π/3 square cm if the radius of the small circle r is 3 cm and the radius of the large circle R is 7 cm.
Learn more about circle here:
brainly.com/question/11833983
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Step-by-step explanation:
I cannot give an exact result but I will try.
What it means by this is to continue the graph up to 2010.
Based on its trajectory, you would simply draw the line on.
If I made a prediction on what it would end up on in 2010, I would say 50 percent.