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Vikki [24]
3 years ago
13

Amelia plans to open a compound interest savings account with a $22,000 deposit at a bank with an annual interest rate of 5.25%.

How much more interest will she earn over 10 years if she chooses an account that compounds interest quarterly instead of annually?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
Compound interest formula

<span>A = P(1+r/n)^(nt)</span>

annually:

quarterly:

A = 22,000 ( 1 + 0.0525/1 )^10  = 36,698.11

quarterly:

A = 22,000 ( 1 + 0.0525/4 )^(4*10 ) = 37,063.29

37,063.29 - 36,698.11 = 365.18


answer: compound interest quarterly earned $365.18 more than annually


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I need help so much please help the attachment below is the question i need help on
leonid [27]

Answer:

\dfrac{\sqrt[12]{55296}}{2}

Step-by-step explanation:

Rationalize the denominator, then use a common root for the numerator.

\dfrac{\sqrt[4]{6}}{\sqrt[3]{2}}=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\\\\=\dfrac{(2\cdot 3)^{\frac{1}{4}}}{2^{\frac{1}{3}}}\cdot\dfrac{2^{\frac{2}{3}}}{2^{\frac{2}{3}}}=\dfrac{2^{\frac{1}{4}+\frac{2}{3}}3^{\frac{1}{4}}}{2}\\\\=\dfrac{2^{\frac{11}{12}}3^{\frac{3}{12}}}{2}=\dfrac{\sqrt[12]{2^{11}3^{3}}}{2}\\\\=\dfrac{\sqrt[12]{55296}}{2}

3 0
3 years ago
Which graph below represents a functional relationship? A. 10 10 8 8 6 6 4 2 2 X 10864 6 8 10 10 8 6 4 4 6 8 10 -21 4 -61 -8 -8
Anestetic [448]

Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

4 0
3 years ago
1
Lina20 [59]

Answer:

\textbf{The slope of the parallel line is given by $ 2 $}\\

Step-by-step explanation:

\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $y = 2x + 4 $}\\\textup{This is  comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any line parallel to it is $ 2$.}

7 0
3 years ago
The height of a building is 943 feet which is about 481 feet higher than another building. What is the height of the second buil
pshichka [43]

Answer: 462


Step-by-step explanation:

943-481

Answer=462

6 0
3 years ago
How is the distributive property used to expand expressions? provide an example
Pepsi [2]
Yes the distributive property is used to expand expressions, but it is also used to make it simpler.
For an example

3(x+4) + 3(y-8)
This is the same thing as
3x + 12 + 3y -8
8 0
3 years ago
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