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1 year ago

6

Mackin Investing charges its customers a 1% commission. The Ross Group, a discount broker, charges $25 per trade. For what amoun

t of stock would both brokers charge the same commission?

1 answer:

olchik [2.2K]1 year ago

5 0

Answer:

The amount of stock for which both brokers would charge the same commission is $2500.

Step-by-step explanation:

i) Let the amount of stock to be traded be worth $x

ii) therefore for both the brokers to charge the same commission we can write

1% of x = $25 $\RIghtarrow$ $\Rightarrow$ 0.01 $\times$ x = 25 $\therefore$ x = $\frac{25}{0.01} = 2500$

The amount of stock for which both brokers would charge the same commission is $2500.

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Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How

Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using formula

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.$

Therefore, the distance between Jacob and Sharon is

$D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.$

7 0

2 years ago

Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:

Marta_Voda [28]

Answer:Ella's Procedure And Conclusion are incorrect

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10

charle [14.2K]

Answer:

Maximum number of long sleeved shirt that can be purchase is, 8

and

Minimum number of long sleeved shirt that can be purchased is, 0

Step-by-step explanation:

let y represents the number of short sleeves and x represents the number of long sleeves.

As per the given condition:

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt.

we have;

$x+y\geq 25$ or

$y\geq 25 -x$ ....[1]

Since, long sleeves shirt are $ 10 each and short sleeves shirt are $ 5 each.

then;

Total cost of long sleeves is 10x and

the total cost of short sleeves is 5y

Also; the club can spend no more than $ 165

then;

$10x+5y\leq 165$

$5y\leq 165 -10x$ or

$y\leq 33-2x$ ......[2]

Solving the inequality equation with the graph :

Plot equation [1] and [2]; we get the maximum at point (8 , 17)

so, x= 8.

If we take minimum value of x =0 then y is between 25 and 33.

so, the solution area is between the lines to the left of where the lines intersect.

Therefore, the maximum number of long sleeved shirts can be purchased is 8 and the minimum number of long sleeved shirt can be purchased is 0

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2 years ago

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Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?

Mashutka [201]

Answer:

54.74 ounces of tomatoes mark need.

Step-by-step explanation:

Given : Mark has three $4\frac{1}{2}$ oz cans and five $8\frac{1}{4}$ oz cans.

To find : How many ounces of tomatoes does Mark need?

Solution :

Mark has three $4\frac{1}{2}$ oz cans.

i.e. $3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}$

Mark has five $8\frac{1}{4}$ oz cans.

i.e. $5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}$

Total ounces of tomatoes does Mark need is

$T=\frac{27}{2}+\frac{165}{4}$

$T=\frac{54+165}{4}$

$T=\frac{219}{4}$

$T=54.75$

Therefore, 54.74 ounces of tomatoes mark need.

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1 year ago

Ms. Casey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she still has 16 tests to grade afte

CaHeK987 [17]

Answer:30 tests

Step-by-step explanation:

16=2/3 -4

20=2/3

10=1/3

30tests

6 0

2 years ago