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3 years ago

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the perimeter of the base of an artifact shaped like rectangular prism is 16 inches the length of the base is 3 times the width

of the base the artifact is two and a half feet tall what is the volume of the artifact in cubic inches

1 answer:

vovangra [49]3 years ago

4 0

Use surface area equation 2ab+2bc+2ac plug the numbers in

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What is the simple interest paid to $250,3.4,3 years

rjkz [21]

<span>I = Prt, where P is the principal, r is the annual </span>interest<span> rate in decimal form, and t is the loan period expressed in years.
</span>
First, Let us convert 3.4% into decimal form. <span>Move the decimal point two places to the left, adding in zeros as needed. 0.034</span>

Second, lets plug in our information.

250 * 0.034 * 3 = 25.50

Your simple interest is: $25.50

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3 years ago

Jimmy invest $16,000 in an account that pays 7.03% compounded quarterly. How long (in years and months) will it take for his inv

Vladimir [108]

To solve this we are going to use the compound interest formula $A=P(1+ \frac{r}{n})^{nt}$
where:
$P$ is the investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year
$t$ is the time in years
$A$ is the amount after $t$ years

First, lets convert the interest rate to decimal dividing it by 100%:
$r= \frac{7.03}{100} =0.0703$
Next, lets find $n$ . Since we know that the interest is compounded every 4 months (quarterly), it will be compounded $\frac{12}{4} =3$ times in a year, so $n=4$ .
We also know that $A=23000$ and $P=16000$ , so lets replace all the quantities into our compound interest formula:
$25000=16000(1+ \frac{0.0703}{3})^{3t}$
$25000=16000(1.0234)^{3t}$

Notice that the the number of years $t$ is in the exponent, so we have to use logarithms to bring it down. But first lets divide both sides by 16000 to isolate the exponential expression:
$\frac{25000}{16000} =(1.0234)^{3t}$
$(1.0234)^{3t} = \frac{25}{16}$
$ln(1.0234)^{3t} =ln( \frac{25}{16} )$
$t= \frac{ln( \frac{25}{16}) }{3ln(1.0234)}$
$t=6.43$

Now that we know $t=6.43$ , the last thing to do is convert 0.43 years to months:
$(0.43 years)( \frac{12months}{1year} )=5.16months$

We can conclude that Jimmy's investment will take 6 years and 5 months to reach $25,000.

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3 years ago

A SQUARE PATIO HAS AN AREA OF 200 SQUARE FEET. HOW LONG IS EACH SIDE OF THE PATIO TO THE NEAREST 0.05

lara [203]

If you would like to know the length of each side of the patio, you can calculate this using the following steps:

an area ... 200 square feet
a ... the length of one side

area = a * a = a^2
200 = a^2
a = sqrt(200)
a = 14.14 feet

The correct result would be 14.14 feet.

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3 years ago

Evaluate the functions<br> F(-2)<br> F(3)<br> F(5)<br> F(e+4)

Mumz [18]

Answer:

F(5)

Step-by-step explanation:

its right very sorry if its late

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1 year ago

3^5 * 9^5 = 3^n<br> Find n please

Vladimir [108]

Answer:

In this equation n = 15

Step-by-step explanation:

In order to find this, we first must make each term a base 3. Since 9 is 3 squared, we can change it easily to base 3.

3^5 * 9^5 = 3^n

3^5 * (3^2)^5 = 3^n

3^5 * 3^10 = 3^n

3^15 = 3^n

Now that we have both in simple term of 3 raised to a power, we can eliminate the 3's and see that 15 = n

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3 years ago