1. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5
Calculations:
A = 2000 (1 + 0.04/4)²⁰
A = 2000 (1 + 0.01)²⁰
A = 2000 (1.01)²⁰
A = 2000 ₓ 1.22
A = $2440.38
2. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2
Calculations:
A = 50 (1 + 0.48/12)²⁴
A = 50 (1 + 0.04)²⁴
A = 50 (1.04)²⁴
A = 50 ₓ 2.56
A = $128.16
3. The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ
Where:
A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3
Calculations:
A = 50 (1 + 0.04/12)³⁶
A = 50 (1 + 0.003)³⁶
A = 50 (1.003)³⁶
A = 50 ₓ 1.12
A = $56.36
Answer:
a). We want to know how much each point was worth.
b). 
c). Each problem worth 3 points.
Step-by-step explanation:
a). We want to know how much each problem was worth. Because we have the total points of the test, and how much was the bonus. But we still don't know the worth of each problem.
b). We know that the total points of the test were 41, and the bonus 5 points. There were 12 problems on the test and we are going to use "x" for the unknown part (how many points each problem was worth).
The equation is :
Why 12x? Because if you multiply the twelve problems of the test with the worth of each one and then add the 5 points of the bonus you will obtain the total points of the test (41).
c). Now we have to solve the equation, this means that we have to clear "x":
Subtract 5 from both sides.
Finally divide in 12 both sides of the equation:
Then each problem worth 3 points.
Answer:
17/20
Step-by-step explanation:
Probability is actually very fun once you understand it. So, you know that the bag contains 20 marbles. You also know that only 3 of those 20 are yellow. Subtract 3 from 20 and you get 17, which is your answer. Hope this helped, and let me know if you need any more help!
Answer:
10 cm³
Step-by-step explanation:
According to Archimedes, if we place an object in water, the rise of the water in mL will be the volume of the object in cm³.
Without the rock, the water measures 20 mL.
With the rock, the water measures 30 mL.
The change here is 
, so 10 cm³ is the volume of the rock.
Hope this helped!
The answer is 50% chance for each side
