Compound Interest is the interest that is <em>compounded on a particular sum of money or investment over a given period of time.</em>
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
- Step 1: Find the interest for the first year.
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $10,000
R = Rate = 5%
n = 1
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 10,000(1 + 0.05/1)^(1)(3)
A = 10,000.00(1 + 0.05)^(3)
A = $11,576.25
I = A - P
Hence:
I = $11,576.25 - $10,000.00
I (interest) = $1,576.25
-
Step 2: Add the interest to the original amount.
$10,000 + $1,576.25
= $11,576.25
-
Step 3: Determine interest in the new total
The formula is given as:
A = P(1 + r/n)^nt
P = Principal = $11,576.25
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 11,576.25(1 + 0.05/1)^(1)(3)
A = 11,576.25(1 + 0.05)^(3)
A = $13,400.96
Therefore,
- The interest for the first year is $1,576.25
- The sum of money after adding the original to the interest is $11,576.25
- The interest on the new total is $13,400.96
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V=πr²h = 3.1415 * 6² * 12 = 157.698 * 36 ≈ 5677 cm³ <span>to the nearest whole number</span>
Answer: the number of yards that art bought is 20 3/20 yards
Step-by-step explanation:
Art bought 7 1/4 yd and 12 9/10 yd for two car projects. We would convert both measurements from mixed fraction to improper fraction before adding.
Converting 7 1/4 yd to improper fraction, it becomes 29/4
Converting 12 9/10 yd to improper fraction, it becomes 129/10 yd
Adding both measurements, it becomes
29/4 + 129/10 = (145 + 258)/20 = 403/20yds
Converting to mixed fraction, it becomes
20 3/20 yards
Answer:
A. Because it passed the y axis
Answer:
x = 24 + y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.