PLEASE HELP ASAP: On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students were enrolled at the school?

Answers

Answer 1

Answer:

rounds to 672

Step-by-step explanation:

This is a proportion question.

572     85

___ = ___

 x       100

Do 572 x 100 first to get 57,200.

Then divide 57,200 by 85 to get around 672 students.

However, I haven't done these kinds of questions in a long time, therefore I could be wrong.

Answer 2

On a snowy day 85% of the students of Wilson high school were present., There were 672 students enrolled at Wilson high school.

To find out how many students were enrolled at Wilson high school, we can use the information given in the question. We are told that 85% of the students were present on a snowy day, and that 572 students were present. To find the total number of students enrolled, we can set up a proportion: Present students / Total students = Percentage present / 100 Let's plug in the values we know: 572 / Total students = 85 / 100 To solve for the total number of students, we can cross-multiply and solve for Total students: 572 * 100 = Total students * 85 57200 = Total students * 85 Dividing both sides by 85: 57200 / 85 = Total students Total students = 672 Therefore, there were 672 students enrolled at Wilson high school.

To know more about  enrolled here

https://brainly.com/question/30086638

#SPJ2


Related Questions


15. The cost of one yard of fabric is $7.99. What is the cost of 0.51 yd of fabric correct to 2 decimal places?

Answers

Around 4.07 because 799x51 is 40749. 40749 divided by 10000 is 4.0749 rounded to the nearest two decimal is 4.07.

Answer:

Step-by-step explanation:

1 yard = $7.99

0.51 yard = x

cross multiply

1 (x) = ($7.99 × 0.51)

1 (x)/1 = 4.0749/1

x = 4.07

If data for the topics below were collected and displayed in a frequency table, which topic would most likely need to be shown in intervals?

(A) favorite food
(B) heights of trees
(C) eye color
(D) foot length of newborn babies

Answers

D foot length of newborn baby’s
D , foot lenth of baby’s

6.) Write an addition expression to describe skateboarding
situation. Then determine the sum.
Hank starts at the bottom of a half pipe 6 feet below street
level. He rises 14 feet at the top of his kickturn.

Answers

6+14=20
first it was 6 feet and then he rises 14 more. pretty simple :)

Answer:

-6 + 14 = 8

Step-by-step explanation:

Hank starts at 6 feet below street level. He rises 14 feet at the top of his kickturn.

Which of the coordinate pairs below are separated by a vertical distance of greater than 5 units? Select all that apply.

A)(-1, −52) and (-1, −32)
B) (1.8, -3.4) and (1.8, 2.2)
C) (-3.5, -4.2) and (-3.5, 1.3)
D) (4, 5) and (4, 1)

Answers

Answer: A

Step-by-step explanation:

A. yes because -52 and -32 are separated by a distance of 20 units

B. no because -3.4 and 2.2 are not separated by more than 5 units

C. no because -4.2 and 1.3 are not separated by more than 5 units

D. no becasue 5 and 1 are not separated by more than 5 units

Answer:

A, B, C

Step-by-step explanation:

A coordinate is written as (x, y) where:

x is the horizontal distance of the point from the origin.y is the vertical distance of the point from the origin.

For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5.  To find the difference between two values, subtract the smaller value from the larger value.

A.  (-1, -52) and (-1, -32)

Difference in y-values:  (-32) - (-52) = 20

B.  (1.8, -3.4) and (1.8, 2.2)

Difference in y-values:  (2.2) - (-3.4) = 5.6

C.  (-3.5, -4.2) and (-3.5, 1.3)

Difference in y-values:  (1.3) - (-4.2) = 5.5

D.  (4, 5) and (4, 1)

Difference in y-values: 5 - 1 = 4

Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.

Determine whether it’s a change in increase or decrease then find the person, make sure to ROUND to nearest whole percent:
ALSO THE ANSWER IS NOT 182%

1994 cost: $171.33 and 1995 cost: $201.59

Answers

Answer:

it is 82%

Step-by-step explanation:

201.59-171.33/171.33*100%=17.6…..%=18%


7. 1 bag of beans weighs 0.7 lb. What is the weight in pounds of 2.5 bags of beans?

Answers

Answer:
1.75 lbs
Explanation:
0.7 lb (one bag) multiplied by 2.5 (amount of bags) is equal to 1.75 lbs
1.75 is the answer cuz i’m smart


15. The total mass of 6 similar bags of salt is 4.5 kg. What is the mass of each bag of salt rounded to 1 decimal place? Give the answer in kilograms.

Answers

Answer:

0.7kg

Step-by-step explanation:

Total mass of the bags of salt = 4.5kgnumber of bags of salt = 6

To find the mass of each bag of salt, we divide the total mass by the number of salt bags we have which is 6

Therefore 4.5 ÷ 6 = 0.75 KgMass of each bag of salt = 0.75 Kg

0.75Kg rounded to ONE decimal place = 0.7 Kg

Hope this helps.Good luck ✅.

0.7 kg
6 divided by 4.5 is 0.7 kg

Find the answers for the frequency and relative frequency tables below.

PLEASE ANSWER ALL 3 QUESTION, thank you

Answers

20. 50 21. (21) 22. I dont know sorry
20 50 22 is correct boi

You randomly choose one of the tiles above. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event.
22. Choosing a red tile and then a vowel

Answers

Answer:

none

Step-by-step explanation:

Nothing











Please dunk hii to

Compare these three ratios using fractions.

3 to 2 5:6 8 to 12

Think about the steps you could take to compare the ratios using fractions.


The first step is to write the ratios as fractions.

The next step is to use a
to rewrite the fractions.
Finally, compare the
to help you order the ratios.

Answers

Answer:

i think it would be greatest common factor

Step-by-step explanation:

I Believe it’s “greatest common factor”

Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p).

Answers

p=3b

p is the total number of points scored. Since there are 3 points being scored, you multiply that by the number of baskets made, b.
P=3b
P(points scored) 3(three point line) B(baskets)

Write the percent as a decimal. 8. 55%

Answers

Answer:

0.0855

hope this is helpful!

0.0855 hope this helps

8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games and lost 2 , to finish the season having won 65% of their games. How many games did the Unicorns play during the season?
Hint: Assign a variable.

Answers

Answer:

The total number of games won by Unicorn is 40.

Step-by-step explanation:

We are given with a word problemWe are asked to find the number of unicorns played during the seasonWe can do this in two steps

         Step 1: Finding the win percentage

         Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is [tex]$\frac{60}{100} \times(x-10)$[/tex]

Combining the 8 games we get,

[tex]$$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$$[/tex]

Step 2 of 2

The unicorn totally won 65% of the games played.

That is [tex]$\frac{65}{100} \times x=0.65 x$[/tex]

Equating both the equation gives

[tex]$$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$$[/tex]

The total number of games won by the unicorn is 40

7.6.3. A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo. For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap. How many leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time?

Answers

Answer:

The number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time is 30 times.

Step-by-step explanation:

Given:

A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.

For every 12 -foot leap of the kangaroo, the rabbit makes a 7 -foot leap.

Find:

the number of leaps will the kangaroo have to make to catch up to the rabbit if the two animals always leap at the same time

Step 1 of 1

The kangaroo gains 5 feet on every leap.

The kangaroo must gain 150 feet total,

so it must jump [tex]\frac{150}{5}=30$[/tex] times to catch the rabbit.

Kangaroo needs 30 leaps to make to catch up to the rabbit if the two animals always leap at the same time.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

A kangaroo chases a rabbit that starts 150 feet ahead of the kangaroo.

For every 12 -foot leap of the kangaroo,

the rabbit makes a 7 -foot leap.

Let n be the number of leaps.

According to the question:

We have the equation.

To solve for x;

12x = 7x + 150

12x - 7x = 150

5x = 150

x = 150/5

x = 30

Therefore, the Kangaroo needs 30 leaps to catch the rabbit.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

move the dot -(-D) on the number line

Answers

Answer:

the answer is 1/2

Step-by-step explanation:

-(-D) = -(-1/2)

2 negatives make a positive so it would be 1/2 or in other cases, 0.5

Person above is incrorrect.

D= -1/2

So -(D)= 1/2

Then -(1/2)= -1/2

50 points please help asap

Answers

Answer: 5 blue marbles than 3 green marbles. Than 3 green on top/5 red on bottom.

Step-by-step explanation:

For every 3 green marbles there are 5 blue marbles.

Answer:

For every 3 green marble there are 5 blue marbles.

Step-by-step explanation:

8.42 Three bags of jelly beans contain 26,28 , and 30 beans. In each bag, the percent of the beans that are yellow is 50%, 25%, and 20%, respectively. All three bags of candy are dumped into one bowl. What percent of the beans in the bowl are yellow? Round your answer to the nearest integer.

Answers

Answer:

Step-by-step explanation:

Figure out the number of yellow beans in each bag:

Bag A: 0.5*26 = 13 beans

Bag B: 0.25*28 = 7 beans

Bag C: 0.2*30 = 6 beans

The total number of beans in the bowl: 26+28+30 = 84

Total number of yellow beans: 13+7+6 = 26

Percentage of yellow beans: 26/84 *100 = 30.9523

Rounded answer: 31%

Answer:

The percentage of yellow beans in the bowl of 84 is approximately 31%.

Step-by-step explanation:

We are given with a word problemWe are asked to find the total percentage of yellow jelly beans We can do this two steps

         Step 1: Finding the number of yellows beans in each bags

         Step 2: Finding the total percentage of yellow beans

Step 1 of 2

We are given that the three bags contain 26,28 and 30 beans totally in which the percent of yellow beans are 50%, 25% and 20% respectively.

We have to find the number of yellow beans in each bag.

[tex]$=\frac{50}{100} \times 26$$[/tex]

The number of yellow beans in first bag

[tex]$$\begin{aligned}&\frac{1}{2} \times 26=13 \\&=\frac{25}{100} \times 28\end{aligned}$$[/tex]

The number of yellow beans in second bag

[tex]$$\begin{aligned}&\frac{1}{4} \times 28=7 \\&=\frac{20}{100} \times 30 \\&\frac{1}{5} \times 30=6\end{aligned}$$[/tex]

The number of yellow beans in third bag

Step 2 of 2

From the first step we got the number of yellow beans in each bags.

The total number of yellow beans in the bowl =13+7+6

The total number of beans in the bowl

[tex]$$\begin{aligned}=26 &+28+30 \\=& 84 \\&=\frac{26}{84} \times 100\end{aligned}$$[/tex]

The percentage of yellow bean in the bowl

[tex]$$\begin{gathered}\approx 0.3095 \times 100 \\\approx 0.31 \times 100 \\\approx 31\end{gathered}$$[/tex]

A camera usually sells for $68. Because it was slightly damaged, it sold for $59.90, what was the rate of the discount to the NEAREST PERCENT?

Answers

I believe it is 14% (68/59.9 ≈ 1.135) if not then 13%
It is around 11-12% off

One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.

Answers

Answer: I would say A

Step-by-step explanation: The reason I say A is because One to find the angle you have to add( Okay I'm in 8th grade and My brain is slow so please don't judge)  but maybe try adding and doing division? I'm not sure

A ong facts ….
yeah it’s urjhedejek

Write the percent as a decimal.
15. 166%

Answers

1.66
don’t know why this needs to be 20 characters but we’ll make it
The answer is 1.66 …..

8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)? (You can assume that both a and b are between 0 and 100.)

Answers

Answer:

The total percent decrease is [tex]$a+b-\frac{a b}{100}$[/tex]

Step-by-step explanation:

We are given with a word problemWe are asked to find the total percentage decreaseWe can do this in two steps

         Step 1: Finding the two percentage decrease

         Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

[tex]$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$[/tex]

Step 2 of 2

The percentage difference between the two percentages is,

[tex]$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$[/tex]

Since 100 is the total percent [tex]$a+b-\frac{a b}{100}$[/tex] is the percentage decrease.

answer: a+b-ab/100 hope this is right

8.3.4 Karl bought five folders from Pay-A-Lot at a cost of $2.50 each. Pay-A-Lot had a 20% -off sale the following day. How much could Karl have saved on the purchase by waiting a day?

Answers

Answer:

Karl could have saved $2.50

Step-by-step explanation:

Cost of folders without the sale: 2.5*5 = $12.50

Cost of folders with the sale: 0.8*2.5 = $2 per folder * 5 folders = $10.00

Difference between prices: 12.5-10 = $2.50

Answer:

2.50$ Karl could have saved on the purchase by waiting a day.

Step-by-step explanation:

Given: total number of folders Karl bought is 5 .

The cost of each folder is 2.50$.

20% off sale the following day at Pay-A-Lot.

we have to find the 20% of each folder and then add them to get the final saving of Karl if he had waited for a day.

Step 1 of 2

20% of 2.50$ is equal to

[tex]$$\begin{aligned}&=2.50 \cdot 20 \% \\&=2.50 \cdot \frac{20}{100} \\&=0.50 \$\end{aligned}$$[/tex]

this is the amount Karl would save on each folder if waited for a day or this is the discount on the amount of 2.50$ that the shopkeeper will give the next day on each

Step 2 of 2

Karl bought 5 folders

so, total savings would be equal to

[tex]$$\begin{aligned}&=5 \cdot 0.50 \\&=2.50 \$\end{aligned}$$[/tex]

Write A story that could represent This problem 2/6 x 3/4

Answers

Answer:

Bob at the store

Step-by-step explanation:

Bob is at a store and wants to buy a banana, last time he checked it costed 2/6 of a dollar. Now it costs 3/4 times more.

Robyn is at home looking for money

8.37 Sale prices at the Ajax Outlet Store are 50% below original prices. On Saturdays, an additional discount of 20% off the sale price is given. What is the Saturday price of a coat whose original price is $180?

Answers

Answer:

Given:

Sale prices at the Ajax Outlet Store are 50% below the original prices. On Saturdays, an additional discount of 20% off the sale price is given.

To find:

The Saturday price of a coat whose original price is $180.

The formula used to calculate the percentage is (value/total value)*100%.

Step-by-step explanation:

Step 1 of 2

The original price of coat = $180



Ajax always sells at 50% discount

So their sale price = $90

Step 2 of 2

On Saturdays they sell 20% less

Which implies-

1/5*90 = 18

90-18=72

They sell at $72 on Saturday.

180*50=9000
9000/100=90
90*20=1800
1800/100=18
90-18=72
The Saturday sale price of the coat would be $72.

On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students were enrolled at the school?

Answers

Answer:

673

Step-by-step explanation:

okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works

okay so

85/100 = 572/?

so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100

useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.

basically 572/85

okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.

so multiply 6.72941176471 * 100

so now you have

672.941176471 and you can round this to 673 kids.

and you know its right since 85% of 673 is 572.05 and you can sound to 572

Answer:

673 students

Step-by-step explanation:

Divide the number of students who applied and the decimal of the percentage they represent.

85% = 85/100 = 0.85

572/.85 = 673

Hope this helps

find the solution B=√2+√3-√2-√3

Answers

Answer:

[tex]B=\sqrt{2}[/tex]

Step-by-step explanation:

Original equation:

[tex]B = \sqrt{2+\sqrt{3}} - \sqrt{2 - \sqrt{3}}\\[/tex]

Square both sides:

[tex]B^2=(\sqrt{2+\sqrt{3}})^2 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + (-\sqrt{2-\sqrt{3}})^2[/tex]

Cancel out the square roots and squares:

[tex]B^2=2+\sqrt{3}}+ 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}}) + 2-\sqrt{3}[/tex]

Add the sqrt(3) and -sqrt(3) as well as 2 and 2

[tex]B^2=4 + 2(\sqrt{2+\sqrt{3}} * (-\sqrt{2 - \sqrt{3}})[/tex]

Use the identity: [tex]\sqrt{a} * \sqrt{b} = \sqrt{a * b}[/tex] to rewrite the two square roots being multiplied:

[tex]B^2=4 + 2(-\sqrt{(2+\sqrt{3}) * (2 - \sqrt{3}}))[/tex]

Use difference of squares: [tex](a-b)(a+b) = a^2-b^2[/tex]

[tex]B^2=4 + 2(-\sqrt{2^2-\sqrt{3}^2})[/tex]

Square both sides

[tex]B^2=4 + 2(-\sqrt{4-3})[/tex]

Subtract:

[tex]B^2=4 + 2(-\sqrt{1})[/tex]

Evaluate square root of 1:

[tex]B^2=4 + 2(-1)[/tex]

Multiply

[tex]B^2=4 -2[/tex]

Subtract

[tex]B^2=2[/tex]

Take square root of both sides:

[tex]B=\sqrt{2}[/tex]

b= 0 because you take the square root of 2 + the square root of 3 and then subtract that by the square root of 2 and then subtract that by the square root of 3 it will give you zero

Write the following in algabraic expression: the sum of the number a and three times the square of the number b

Answers

Answer:

a+3b^2

Step-by-step explanation:

a+3b^2 is the correct answer

PLEASE HELP ASAP REALLY EASY

79.04/___=9.5

3.6 + 5.7 + __=17.024

56.89 - ___=2.001

8.7 x __ =16.2

356/__=3.56

5.0168+___=25

3.90800 - ___=0.15

___+0589=14

Answers

1. 8.32
2. 7.724
3. 54.889
4. 1.862068965517241
5. 100
6. 19.9832
7. 3.758
8. 13.9411
8.32
7.724
54.889
1.862068965517241
100
19.9832
3.758
13.9411

f(x)=(5x+3)(x−2)(3x+7)(x+5) has zeros at x = -5, x = -7/3, x = 2
What is the sign of f on the interval -7/3 < x < -3/5?

Answers

The sign of f on the interval -7/3 < x < -3/5 is always positive.

How to solve for the sign on the interval

We have the equation

(5x+3)(x−2)(3x+7)(x+5) > 0

Now when f(x) > 0

Then -7/3 < x < -3/5

This would tell us that the sign would become positive when it changes from the less than to greater than sign

Complete Question

f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2

What is the sign of f on the interval -7/3<x<-3/5?

answer choices

f is always positive on the interval

f is always negative on the interval

f is sometimes positive and sometimes negative on the interval

f is never positive or negative on the interval

Read more on polynomials here:

https://brainly.com/question/2833285

#SPJ1

X= -3/5 or x=2 or x=-7/3 or x=-5 answer that you can pick for this question:)

send help asap 20 points


(if your confident please go answer the other questions im going to post after this each one will be 20 pointed added)

Answers

Essentially, we are being asked to find the unit rate. We want to figure out how many dollars it costs to buy 1 yard of fabric.

$10 : 8 yards

---Divide both values by 8

$1.25 : 1 yard

Hope this helps!

The answer is 1.25 a yard. All you have to do is divide 10 by 8 and it leaves you with the correct answer. I hope this helped!
Other Questions
PLEASE HELP SOON THX SO MUCHan airplane flies 3300 miles with the wind in 3 hrs 18 minutes. it takes 4 hrs 24 mins to make the return flight against the same wind. find speed of airplane and wind. It requires 334 kJ of heat to melt 1 kg of ice. The largest known iceberg had a volume of about 3.1 x 1013 m. How much heat was requiredto melt the iceberg if 1 m of ice has a mass of 917 kg? Okay, I am getting familiar with quadratic equations by I'm not sure of X=m+/- n... Help! Show all work:A saturated solution of the Ca(OH)2 is prepared and allowed to equilibrate at 25C. A 32.40mlsample of the solution is titrated with 0.050M HCL solution. 14.90mL of the HCI solution arerequired to fully react with the sample.Write the balanced equation for the reaction of the salt with HCl a(x + 1) - b(x + 1) - x - 1 Fawzia took a taxi from her house to the airport. The taxi company charged a pick-upfee of $2.60 plus $1.50 per mile. The total fare was $17.60, not including the tip. Howmany miles was the taxi ride? Select the correct answer.Which detail in the passage supports the idea that Elizabeth aims to show Darcy that she is just as levelheaded? Animal testing, though harmful to the lives ofanimals, is a vital resource for lifesaving medicines andvaccines that can prolong human life.Which evidence does not provide good support for this claim? Where should the comma(s) be placed in the following sentence?When we won [A] the state championship [B] the team captain [C] jumped for joy [D] and the fanscheered Three resistors with resistances of R1=12 ohms (), R2=8 ohms, and R3=24 ohms are in a series circuit with a 12-volt battery. (A) What is the total resistance of the resistors? (B) How much current can move through the circuit? (C) What is the current through each resistor? This circle is centered at the origin, and the length of its radius is 10. What isthe circle's equation?A. x+y=10B. x + y = 100C. X+ y =10D. X +y=100 3. (05.01B MC)Which of the following correctly describes the relationship between Native American tribes and the United States government in the early 1800s? (3 points)The relationship strengthened as Native American tribes agreed with the terms of each treaty.The relationship weakened as the division of land created ongoing disagreement.The relationship strengthened as the United States gained access to millions of acres of land.The relationship weakened as Native American tribes gave up all of the land they previously claimed.DELl Please help with these 3 questions! Will give brainliest and 25 points. Samantha and Bethany are purchasing their first home and reviewing the terms of a 15-year mortgage with their lender, Jim, at First Union Bank. Jim reviews the amount of the loan, the interest rate, the total amount of interest they will pay over the course of their loan, and the total amount of money that will be paid over time. Jim is required to provide this information, as it is federally mandated as part of the Truth in Lending Act that was passed in 1968 to protect consumers. Jim is doing what is _______ right by providing this information to Samantha and Bethany. Which of the following statements regarding work and retirement is true? Need help now.Someone please. Help me pls it is geomerty traingle proofand here the questionGiven: NQ is the bisector of MNP and NMQNPQProve: MNQPNQ evaluate x+2x+1/x^2-25 How can I solve this?? Please help Problem 11-3 blair & rosen, inc. (b&r) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. a client who contacted b&r this past week has a maximum of $55,000 to invest. b&r's investment advisor decides to recommend a portfolio consisting of two investment funds: an internet fund and a blue chip fund. the internet fund has a projected annual return of 12%, while the blue chip fund has a projected annual return of 9%. the investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. b&r services include a risk rating for each investment alternative. the internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested. for example, if $10,000 is invested in each of the two investment funds, b&r's risk rating for the portfolio would be 5(10) + 5(10) = 100. finally, b&r developed a questionnaire to measure each client's risk tolerance. based on the responses, each client is classified as a conservative, moderate, or aggressive investor. suppose that the questionnaire results classified the current client as a moderate investor. b&r recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 250. (a) formulate a linear programming model to find the best investment strategy for this client. let i = internet fund investment in thousands b = blue chip fund investment in thousands if required, round your answers to two decimal places. i + b s.t. i + b available investment funds i + b maximum investment in the internet fund i + b maximum risk for a moderate investor i, b 0 (b) build a spreadsheet model and solve the problem using solver. what is the recommended investment portfolio for this client? internet fund = $ blue chip fund = $ what is the annual return for the portfolio? $ (c) suppose that a second client with $55,000 to invest has been classified as an aggressive investor. b&r recommends that the maximum portfolio risk rating for an aggressive investor is 310. what is the recommended investment portfolio for this aggressive investor? internet fund = $ blue chip fund = $ annual return = $ (d) suppose that a third client with $55,000 to invest has been classified as a conservative investor. b&r recommends that the maximum portfolio risk rating for a conservative investor is 150. develop the recommended investment portfolio for the conservative investor. internet fund = $ blue chip fund = $ annual return = $