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3 years ago

Factor the expression completely. 7x - x2

Mathematics

1 answer:

steposvetlana [31]3 years ago

4 0

Answer:

x(7 - x)

Step-by-step explanation:

Given

7x - x² ← factor out x from both terms

= x(7 - x) ← in factored form

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Vita saved $72 last December. This amount represents 2/9 of the total amount she saved last year. What is the total amount Vita

GrogVix [38]

$\dfrac{2}{9} \text { of the saving} = \$72$

-----------------------------------------------
Find 1/9 :
-----------------------------------------------
$\dfrac{1}{9} \text { of the saving} = \$72 \div 2$

$\dfrac{1}{9} \text { of the saving} = \$36$

-----------------------------------------------
Find 9/9 :
-----------------------------------------------
$\dfrac{9}{9} \text { of the saving} = \$36 \times 9$

$\dfrac{9}{9} \text { of the saving} = \$324$

-----------------------------------------------
Answer: The total amount is $324.
-----------------------------------------------

7 0

3 years ago

A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years

dedylja [7]

Answer:

$6488.19

Step-by-step explanation:

To solve this problem we use the compounded interest formula:

$amount = principal(1 + (r \n))^({n}{t})$

a = $2600(1+(0.0675/1))¹*¹⁴

a = $6488.19

8 0

3 years ago

The quotient of 5 less than a number and 6 is -4

Dovator [93]

-1 is the answer or your answer is gonna be false

7 0

3 years ago

Read 2 more answers

Write the number ofhundreds, tens, and ones.

otez555 [7]

Answer:100 10 1

Step-by-step explanation:

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3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estim

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

5 0

3 years ago