Answer:
<em>The deposit required is $6633.62 and the interest earned is $366.38</em>
Step-by-step explanation:
Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.
To find the principal P, we solve the previous equation for P as follows:
Substituting:
P=$6633.62
The interest earned is:
I = A - P = $7700 - $6633.62 = $366.38
The deposit required is $6633.62 and the interest earned is $366.38
Answer:
180
Step-by-step explanation:
In order to express a ratio in the simplest form, we find the HCF of the terms and divide ... We know, 1 hour = 60 minute, 3 hours = 3 × 60 minutes = 180 minutes,.
i think
Property of Addition and division.
Step-by-step explanation:
square
area = x²
perimeter = 4x
rectangle
area = xy
perimeter = 2(x + y)
square
a = 5.5²
a = 30.25cm²
p = 4 × 5.5
p = 22
rectangle
a = x × 5.5
a = 5.5x
p = 2(x + 5.5)
p = 2x + 11
area of algebra tile shape = 30.25 + 5.5x
perimeter of algebra tile shape = 22 + 2x + 11
= 33 + 2x
combine both , 30.25 + 5.5x = 33 + 2x
5.5x - 2x = 33 - 30.25
3.5x = 2.75
x = 0.79
area of algebra tile shape = 30.25 + 5.5(0.79)
=34.60cm²
perimeter of algebra tile shape = 33 + 2(0.79)
= 34.58
I think this is the answer