Answer:
<u>The balance in the account after 10 years is US$ 2,442.81</u>
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 2,000
Duration of the investment = 10 years
Annual interest rate = 2% compounded continuously
2. Let's find the future value of this investment after 10 years, using the following formula:
FV = PV * eˣ ⁿ
PV = Investment = US$ 2,000
number of periods (n) = 10 (10 years compounded continuously)
rate (x) = 2% = 0.02
e = 2.71828 (Euler's number)
Replacing with the real values, we have:
FV = 2,000 * (2.71828)^0.02*10
FV = 2,000 * 2.71828^0.2
FV = 2,000 * 1.2214027
<u>FV = US$ 2,442.81</u>
F(-3)=4(-3)^2+5(-3)-12
=36-15-12
=36-27
=-9
Answer:
(4, 5)
Step-by-step explanation:
y = 2x - 3
y = 7 - 0.5x
y is already isolated on both equations, set them equal to each other:
2x - 3 = 7 - 0.5x
add 3 to both sides:
2x = 10 - 0.5x
add 0.5x to both sides:
2.5x = 10
divide by 2.5:
x = 4
plug in 4 for x on either equation and solve for y:
y = 2(4) - 3
y = 8 - 3
y = 5
(4, 5)
Answer:
r = 3.42
Step-by-step explanation:
the equation for volume is V = pi r^2 h
550 = 3.14 r^2 15
36 2/3 = 3.14 r ^2
11.6772824 = r^2
3.41720389 = r
r = 3.42
The answer is 156.9. Because if it is the hiper x-43 and the maxiumum speed is 6750 you need to square root it then divide it.
