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lesya692 [45]
3 years ago
13

An investor bought 600 shares of stock, some at $5.00 per share and some at $4.75 per share. If the total cost was $2912.50, how

many shares of each stock did the investor buy? (Round to two decimal places if necessary.)
Mathematics
1 answer:
yuradex [85]3 years ago
3 0
Let x= $4.75 shares 600-x- $5.00 shares 4.75x + 5 (600-x)= 2912.50 distribute and remove ( ) 4.75x +3000-5x= 2912.50 combine like terms -,25x + 3000= 2912.50 subtract 3000 from both sides -.25x= -87.5 divide by -.25 x=350 shares @ $4.75 600-350= 250 shares @ $5,00 hope this helps
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In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of
n200080 [17]

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

7 0
3 years ago
What is the domain of the function in the graph?
Tpy6a [65]
The answer is A.
D= 6<=x<=11
8 0
4 years ago
7) Diego travels from Odessa to el Paso approximately 300 miles apart
bulgar [2K]

Answer:

≈3hrs 45mins

Step-by-step explanation:

d=300 miles

s=80mph

Formula: distance/speed=time

Using the formula:

300/80=3.75 hours

0.75 hours=45mins

(To work that out ^) 0.75=x/60

∴ 60*0.75=45mins

Solution: 3hrs 45mins

3 0
3 years ago
A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
butalik [34]

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

6 0
3 years ago
Consider the equation.
babunello [35]

Answer:

If you use the addition property of equality, what number would you add to both sides of the equal sign to isolate the variable?

You would subtract 5/7 from both sides of the equation

What is the solution?

x = 26/7 or 3 and 5/7

Step-by-step explanation:

x + 5/7 = 31/7

Subtract 5/7 from both sides of the equation:

x + 5/7 - 5/7 = 31/7 - 5/7

x = 26/7

6 0
3 years ago
Read 2 more answers
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