Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation
![A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}](https://tex.z-dn.net/?f=A%5C%3A%3D%5C%3AP%5Cleft%281%5C%3A%2B%5C%3A%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D)
where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
- Given that the interest is compounded 6 times each year, therefore, the value of n = 6.
now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation
![A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}](https://tex.z-dn.net/?f=A%5C%3A%3D%5C%3AP%5Cleft%281%5C%3A%2B%5C%3A%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D)
![A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}](https://tex.z-dn.net/?f=A%3D2500%5Cleft%281%2B%5Cfrac%7B0.05%7D%7B6%7D%5Cright%29%5E%7B%5Cleft%286%5Cright%29%5Cleft%288%5Cright%29%7D)
![\:A=2500\left(1+\frac{0.05}{6}\right)^{48}](https://tex.z-dn.net/?f=%5C%3AA%3D2500%5Cleft%281%2B%5Cfrac%7B0.05%7D%7B6%7D%5Cright%29%5E%7B48%7D)
∵ ![\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935](https://tex.z-dn.net/?f=%5Cleft%281%2B%5Cfrac%7B0.05%7D%7B6%7D%5Cright%29%5E%7B48%5C%3A%5C%3A%7D%3D1.48935)
$
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Answer: -6 is your answer
The length of the diagonal of the square is the square root of 32 which equals approximately 5.6569.
The length from the corner to the center of the square is half of the diagonal which is 2.8284. I hope this helps!
Answer:
Dasha has 52 roses
Step-by-step explanation:
Rewrite the first sentence in an equation: (D= Dasha) (A= Anna)
D=4A
Rewrite the second sentence in an equation:
A+39=D
1) Substitute A+39 as D in the first equation:
A+39=4A
2) Subtract A from both sides:
3A=39
3) Divide both sides by 3:
A=13
4) Now substitute 13 as A in the second equation:
13+39=D
5) Solve:
D=52
Answer:
a = -5
Step-by-step explanation:
15 - a = 20
Move the constant of 15 to the other side by subtracting it.
-a = 5
Divide by -1 to make a positive.
a = -5
Check.
15 - (-5) = 20
15 + 5 = 20
20 = 20