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3 years ago

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The equation of a line, written in point-slope form, is y - 4=5(x - 5). What is the slope (m) and a point this line goes through

? a m=5, (-5, -4) b m=5, (-4, -5) c m=5, (5, 4) d m=5, (4, 5)

1 answer:

Sliva [168]3 years ago

4 0

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Nostrana [21]

Answer:

1) b 2) b

Step-by-step explanation:

1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).

2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x

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3 years ago

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A packing company needs to know how much cardboard will be required to make boxes 18 inches long, 12 inches wide and 10 inches h

antoniya [11.8K]

Answer:

40

Step-by-step explanation:

6 0

3 years ago

Can someone help please I need this asap

son4ous [18]

Answer:

<u>PART:A</u>

$10_P_4=5040$

<u>PART:B</u>

$6_C_2=15$

<u>PART:C</u>

$6_C_2=15$

Step-by-step explanation:

<u>PART:A</u>

When the four officers are chosen than the number of ways of doing this is:

$10_P_4$

since we have to choose 4 officers and also they need to be arranged according to their ranks.

Hence, the numbers of ways doing so is:

$10_P_4=\dfrac{10!}{(10-4)!}\\\\=\dfrac{10!}{6!}\\\\=10\times 9\times 8\times 7\\\\=5040$

<u>PART:B</u>

Now we have to choose 2 members out of the remaining 6 members so the we have to use combination since we have to just choose the members and do not have to rank them or in short we can say we do not have to arrange them.

Hence, the number of ways doing this is:

$6_C_2=\dfrac{6!}{2!\times (6-2)!}\\\\=\dfrac{6!}{2!\times 4!}\\\\=15$

Hence, the number of ways of doing this is: 15.

<u>PART:C</u>

Now this process of doing so is also same as the above.

Hence, the number of ways of doing so is: 15.

8 0

3 years ago

You invest 7500 into a mutual fund that is expected to earn 7% per year, how long will it take the fun to be worth 15000?

frozen [14]

Answer:

10.2 years

gain is $2,704.00

rate of return is 22%

Step-by-step explanation:

The it would take for mutual to double can be determined the future value formula as shown below:

=nper(rate,pmt,-pv,fv)

rate is the rate of return of 7% per year

pmt is the periodic amount placed in the mutual fund and it not applicable here

pv is the original amount invested which is $7,500

fv is the future worth of $15,000

=nper(7%,0,-7500,15000)=10.2 years

cost of shares=actual cost of purchase+broker's commission

=(800*$15.34)+$20=$12,292.00

gain on shares=sales proceeds-cost=(800*$18.77)-$20-$12,292.00=$2,704.00

rate of return=gain/original cost=$2,704.00/$12,292.00 =22%

5 0

3 years ago

Help? I need it quick!ty<3

mihalych1998 [28]

Answer:

Step-by-step explanation:

(1,3)

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3 years ago

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