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3 years ago

Determine how much money you will have after 8 years if you invest 4,000$ at 7% compounded monthly

1 answer:

7 0

You would get $26,880.
0.07*4000= 280; so $280 are added every month
There are 96 months in 8 years, so multiply 280*96 which =26,880

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If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product

storchak [24]

Answer:

1/6

Step-by-step explanation:

The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).

For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.

So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.

The probability is 1/6.

8 0

3 years ago

The particle of dust has a mass of 7.53x10 to the-10 kilograms. Find the weight of 5 billion dust particles

Vitek1552 [10]

Multiply the dust particle mass by 5 billion..
On a calculator use the "EE" button is shorthand for: x10^ whatever power you want.
5x10^9 x 7.53x106-10 = 3.765

6 0

3 years ago

Read 2 more answers

a patient was supposed to take 560 mg of medicine but took on The 420 mg what percent of medicine does she take

Sav [38]

You need to set the correct porportion. x is the percent value you want to find. 100 is the maximum percentage. 420mg is what was taken out of the maximum 560mg dose.

$\frac{x}{100} \times \frac{420}{560}$

You will cross multiple.

$560x = 42000$

you will divide 42000 by 560

$\frac{560x}{560} = \frac{42000}{560}$
$x = 75$

The complete answer will be: The patient took 75% of the 560mg dose of medication.

5 0

3 years ago

a soccer team practiced 3 times a week. each practice lasts for 110 minutes. the team practices for 14 weeks during the season.

Fittoniya [83]

3 weeks x 110 minutes = 330 minutes
330 minutes a week x 14 weeks = 4620 minutes
4620 divided by 60 minutes = 77 hours
77 hours is your answer

5 0

3 years ago

Do one of the following, as appropriate. (a) Find the critical value z Subscript alpha divided by 2, (b) find the critical v

aliya0001 [1]

Answer:

$t=\pm 2.95$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The t distribution or Student’s t-distribution is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.

Data given

Confidence =0.99 or 99%

$\alpha=1-0.99=0.01$ represent the significance level

n =16 represent the sample size

We don't know the population deviation $\sigma$

Solution for the problem

For this case since we don't know the population deviation and our sample size is <30 we can't use the normal distribution. We neeed to use on this case the t distribution, first we need to calculate the degrees of freedom given by:

$df=n-1=16-1=15$

We know that $\alpha=0.01$ so then $\alpha/2=0.005$ and we can find on the t distribution with 15 degrees of freedom a value that accumulates 0.005 of the area on the left tail. We can use the following excel code to find it:

"=T.INV(0.005;15)" and we got $t_{\alpha/2}=-2.95$ on this case since the distribution is symmetric we know that the other critical value is $t_{\alpha/2}=2.95$

8 0

3 years ago