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3 years ago

There are 801 students in the

Mathematics

2 answers:

Eddi Din [679]3 years ago

5 0

It is real sly hard but I am sorry I can I think it is boys

DiKsa [7]3 years ago

3 0

Answer:

89 more boys than girls

Step-by-step explanation:

801 * 4/9 = 356

So 356 boys

rest are girls so 801-356 = 445 girls

445-356 = 89

89 more boys than girls (there are more boys but question says there are more girls?)

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To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa

Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

The final value of the investments plus the interest is calculated as follows:

$FV=R\cdot\frac{(1+i)^n-1}{i}$

Where:

n = number of total periods of the investment.

n = m*t

$i=\frac{r}{m}$

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

$\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}$

Calculating:

FV = $829,220

The company will have $829,220 in scholarship funds

b. The interest can be found by subtracting the final value and the initial value. We have to calculate the latter:

$\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}$

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

5 0

10 months ago

Solve the inequality and enter your solution as an inequality in the box below,

Degger [83]

Answer:

x<3

Step-by-step explanation:

7 0

2 years ago

Terrence has 64 stamps. Of his stamps, 12 are from Europe and 1/4 are from Africa. The rest are from Asia. What fraction of his

Tamiku [17]

16 of his stamps are from Africa, since 1/4 of 64 is 16. If I subtract his 28 from Europe and Africa (16 plus 12 equals 28) from his original 64, I am left with 36 stamps. 36/64 is simplified to 9/16. So 9/16 of Terrence's stamps are from Asia.

4 0

3 years ago

Can someone help me with this problem

Naily [24]

<h3>Answer: Choice A</h3><h3>The point Z ' is at (8,4)</h3><h3>The point Y ' is at (0,4)</h3>

=================================================

Explanation:

The key thing here is that point Z does not move. Why not? Because this is where the center of dilation occurs. The center point is fixed. Everything around the center will expand away from, or contract toward, the center.

In this case, the scale factor is 4/5 = 0.8 which is less than 1. So points will contract toward the center. The old pre-image shrinks to make the image smaller.

Note how point Y = (-2,4) is 10 units away from point Z. You can count out the spaces or subtract the x coordinates. Use an absolute value to make sure the result is positive

|x1-x2| = |-2-8| = |-10| = 10

|x2-x1| = |8-(-2)| = |8+2| = |10| = 10

So 0.8 times this distance is therefore 0.8*10 = 8 meaning that point Y' is going to be 8 units away from point Z' or Z.

Subtract 8 from the x coordinate of point Z to get x-8 = 8-8 = 0.

The y coordinate stays the same at y = 4 the whole time.

----------------------------------------

In short, point Y starts at (-2,4) and moves to (0,4)

Distance from Y to Z is 10 units

Distance from Y' to Z' is 8 units

8/10 = 4/5 = 0.8 is the scale factor

Point Z does not move. So Z and Z' are at the same location.

5 0

3 years ago

Read 2 more answers

Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? e

Dovator [93]

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

<h3>What is meant by normal distribution?</h3>

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

<h3>What does a large sample confidence interval for a population mean?</h3>

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

To learn more about normal distribution, refer to:

brainly.com/question/23418254

#SPJ4

8 0

1 year ago