Annually The amount after 10 years = $ 7247.295
quarterly compound after 10 years = $7393.5
Continuously interest =$7,419
Given:
P = the principal amount
r = rate of interest
t = time in years
n = number of times the amount is compounding.
Principal = $4500
time= 10 year
Rate = 5%
To find: The amount after 10 years.
The principal amount is, P = $4500
The rate of interest is, r = 5% =5/100 = 0.05.
The time in years is, t = 10.
Using the quarterly compound interest formula:
A = P (1 + r / 4)4 t
A= 4500(1+.05/4)40
A= 4500(4.05/4)40
A= 4500(1.643)
Answer: The amount after 10 years = $7393.5
Using the Annually compound interest formula:
A = P (1 + r / 100) t
A= 4500(1+5/100)10
A= 4500(105/100)10
Answer: The amount after 10 years = $ 7247.295
Using the Continuously compound interest formula:
e stands for Napier’s number, which is approximately 2.7183
![A=Pex^{rt} \\A=4500(e)^{.5} \\A= 4500(2.71)^{.5}](https://tex.z-dn.net/?f=A%3DPex%5E%7Brt%7D%20%5C%5CA%3D4500%28e%29%5E%7B.5%7D%20%5C%5CA%3D%204500%282.71%29%5E%7B.5%7D)
A= $2,919
Answer: The amount after 10 years = $4500+$2,919=$7,419
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Given:
The given table represents the ingredient need to make 4 muffins.
To find:
The amount of flour needed to make 12 muffins.
Solution:
We have, the data for 4 muffins.
From the given table it is clear that,
Flour need for 4 muffins = 250 g
Flour need for 1 muffins =
g
Flour need for 12 muffins =
g
=
g
=
g
So, 750 g flour is need to make 12 muffins.
Therefore, the correct option is D.
<h3>
Answer: Choice A</h3>
center = (3, -1)
radius = 3
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Explanation:
Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2
Then compare to the general form (x-h)^2+(y-k)^2 = r^2
You should find that h = 3, k = -1 and r = 3.
The center is (h, k) = (3,-1) and the radius is r = 3.
Choice A matches with that description.