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3 years ago

If you invest x dollars at 3% intrest compounded annually ,then the amount A (x) of the investment after one year is A(x)=1.03x.

1 answer:

5 0

The "compound amount" formula is A = P(1+r)^t.

Here, the Amount A(x) is (x)(1+0.03)^1= 1.03x.

Please be clearer about what you are asking here. I assume you just wanted to be told that you are right.

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Factor completely 4x^2 − 32

Blababa [14]

Answer: $4(x+2\sqrt{2})(x-2\sqrt{2})$

Step-by-step explanation:

We can first take out the common factor of 4, as both 4x² and -32 are divisible by 4.

$4(x^2-8)$

From here, we can assume that x²-8 is a difference of two squares even though 8 is not a perfect square.

<em>For review, a difference of two squares </em> $a^2-b^2$ can be factored into $(a+b)(a-b)$ .

$4(x^2-8)\\4(x+\sqrt{8})(x-\sqrt{8})\\4(x+2\sqrt{2})(x-2\sqrt{2})$

4 0

11 months ago

Kathy runs a 26.2- mile marathon at an average pace of 6.2 minutes per mile how long will it take her to finish

drek231 [11]

Around 2:45:34
hope this helps

6 0

2 years ago

Read 2 more answers

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago

NEED HELP ASAP PLEASE

kati45 [8]

Answer: its (0,2/3)

Step-by-step explanation: i say this because 2/3 equal 0.6 so 0.6 will be on the y-axis and 0 will be on the x-axis, this will equal a line that meats up wit R and is parallel to PQ. I hope this helps.

4 0

2 years ago

Please help me please!!

Aleks04 [339]

A because the line is only going through the graph and hitting each point once

6 0

2 years ago