MATHEMATICS MIDDLE SCHOOL

Pierce wishes to purchase a municipal bond with a par value of $500 from Chattahoochee County, and he is trying to decide which broker he should employ to purchase the bond. Broker A charges a 3.1% commission on the market value of each bond sold. Broker B charges a flat $24 for each bond sold. If the bond has a market rate of 88.754, which broker will give Pierce the better deal, and by how much? a. Broker B’s commission will be $9.75 less than Broker A’s. b. Broker B’s commission will be $3.51 less than Broker A’s. c. Broker A’s commission will be $13.76 less than Broker B’s. d. Broker A’s commission will be $10.24 less than Broker B’s.

Answers

Answer 1
Answer:

Answer:

(d)              

Step-by-step explanation:

Bond's par value = $500

market value of the bond = 88.754% * 500

                                           = 443.77

Commission rate charged by broker A = 3.1%

Commission of broker A = (3.1)/(100)*443.77

                                        = $13.75687

Commission of broker B = $24

Difference between the commission of broker A and broker B = 24-13.756

                                                                                                      = $10.24

Hence, (d) Broker A's commission will be $10.24 less then Broker B's.
Answer 2
Answer:

Answer:He should take the option one of sales commission of 3.1% on

each bond. If he takes the 2nd option, he is required to pay 24$ per

bond. But if he takes the ist option, he is required to pay 15.5$ per bond.

88.754 is the market rate. Total investment is of 500$. Multiply the commission

rate with the amount and you get 15.5 $. There is a difference of 8.5 dollars

between the two options.

The answer is D

Related Questions

100 acres in 140 acres does it increase or decrease
A bowl of candy is sitting on the counter. If there are twelve blue pieces, fourteen red pieces, and six yellow pieces in the bowl, what is the probability of randomly selecting a blue piece?
Start time: 2:00 pm elapsed time:_________ end time 8:30 pm
There are two connected gears. One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?
You are holding a glass of orange juice with ice cubes floating on it.What kind of mixture are you holding.Answer right now!75ptsThanks

A cyclinder has a diameter of 10m and a volume of 350m2. What is height of cyclinder?

Answers

h: volume/3.14*(radius^2)
350/3.14*5^2
350/3.14*25
4.45

The length of a rectangle is 4 times its width and the perimeter is 150 feet. What is the width of the rectangle?

A.
75 feet

B.
30 feet

C.
15 feet

D.
60 feet

Answers

We know that L = 4W, and P = 2l + 2w, so 150 = 2L + 2w
So, 150 = 2*4w + 2w
      150 = 8w + 2w
      150 = 10w
       w = 150/10
       w=15
So, the Width of the Rectangle is 15 feet.
And if they asked you to find the length,
 L = 4W
L = 4*15
L=60 
so, the Length will be 60 feet.

Hope this Helps! :)
Let width be xSo2(x+4x)=10x=150x = 15 feet

Joe's Fun and Sun rents beach chairs. The store rented 300 beach chairs each month in April and in May. The store rented 600 beach chairs each month from June through September. How many beach chairs did the store rent during the 6 months?

Answers

300 x 2 = 600 in April and May


600 x 4 = 2400 in June - September


600 + 2400 = 3000 beach chairs in 6 months.

Solve for x and y

Both questions please ❤️​

Answers

Answer:

1. x=18, y=6√(10)

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

CD^2=AD\cdot BD\n \n6^2=2\cdot x\n \n36=2x\n \nx=18

Consider right triangle BCD. By the Pythagorean theorem,

BC^2=BD^2+CD^2\n \ny^2=18^2+6^2\n \ny^2=324+36\n \ny^2=360\n \ny=√(360)=6√(10)

2. Consider right triangleGM*. By the Pythagorean theorem,

G*^2=GM^2+M*^2\n \n240^2=GM^2+192^2\n \nGM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\n \nGM=144

Use this property to find x:

GM^2=192\cdot x\n \n144^2=192\cdot x\n \nx=(144^2)/(192)=108

Consider right triangle GMCup. By the Pythagorean theorem,

y^2=x^2+GM^2\n \ny^2=108^2+144^2\n \ny^2=32,400\n \ny=180

What percent of 200 is 90

Answers

In math
"of" means x
"is" means =

x% of 200 is 90
x * 200 = 90
x = 90/200 = .45

Multiply by 100 to convert to percent

.45 = 45%

90 is 45% of 200

john had a ribbon that was 1 1/2 meters long. he used 2 pieces that were each 1/3 of that length. how much ribbon did john use

Answers

Of means multiplication. So the question is 1/3 X 1 1/2. First make 1 1/2 improper: 3/2. Then multiply the numerators (top numbers) and denominaters (bottom numbers): 1x3=3, 3x2=6, =3/6. Now simplify 3/6=1/2. Then multiply that by 2, since he used 2 pieces: 1/2x2=1. John used 1 meter :)
Other Questions
How can I solve this : -0.5(17x-24)=3.4x-6+6.3x
4% of ____ days is 56 days
What is the 10th term in the pattern with the formula 10n – 8?A. 18 B.100 C.108 D.92
I need help with all of these questions can you help pls