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adoni [48]
4 years ago
11

Expand and simplify (p+7)(p-8)

Mathematics
1 answer:
Kitty [74]4 years ago
8 0
P^2-8p+7p-56
First I foiled. This meaning that I multiplied the first numbers in each pair of parentheses, then I multiplied the outside numbers, then the inside numbers and finally the last numbers.
p^2-p-56
Second I combined like factors.
This should be your final answer, keep in mind that ^2 means squared.
p^2-p-56
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Jacobs college savings are invested in a bond that pays an annual interest of 6.2% compounded continuously. How long will it tak
DiKsa [7]

Answer:

Therefore the value of bond will triple after 17.72 years.

Step-by-step explanation:

The formula of Compounded continuously

A=Pe^{rt}

A= Amount after t year

P= initial amount

r = rate of interest

t= time in year.

Given that,

Jacobs college saving are invested in bond that pay 6.2% compounded continuously.

Let after t years the initial amount P will be triple i.e 3P.

Here P=P, A=3P, r= 6.2%=0.062

\therefore 3P=Pe^{0.062t}

\Rightarrow 3=e^{0.062t}   [ Multiply \frac 1P both sides]

Taking ln both sides

\Rightarrow ln3=ln(e^{0.062t})

\Rightarrow ln3={0.062t}        [ since ln(e^a)=a ]

\Rightarrow t=\frac{ln3}{0.062}

\Rightarrow t\approx 17.72 years

Therefore the value of bond will triple after 17.72 years.

4 0
3 years ago
Which of the following sets of ordered pairs is a function?
slavikrds [6]
The last set is a function
a function can’t have the same two x values
6 0
3 years ago
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One common method of converting symbols into binary digits for computer processing is called ASCII​ (American Standard Code of I
Bess [88]

Answer:

yeet

Step-by-step explanation:

3 0
3 years ago
Which two numbers multiply to 100 and add to -20
Eduardwww [97]

20 and 10.

I can't explain this, because of the fact that I have not learned this yet, and I might be wrong. But I hope I'm not and I hope I helped! ☺

6 0
4 years ago
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I'm so confused please help
Hatshy [7]

I'm confused too and I'm supposed to be an expert.  I'm not entirely sure what frequency density is.  We'll just treat this as a histogram.

Let's assume each five minute interval gives a value equal to or proportional to the number of people that finished in that interval.

From 0 to 50 we have 10 intervals; let's just make this into a table

0-5  0

5-10 40

10-15 40

15-20 30

20-25 30

25-30 25

30-35 25

35-40 25

40-45 25  

45-50 15


From 0 to 40 that adds up to

0+40+40+30+30+25+25+25 = 215

From 0 to 50 that's

215+25+15 = 255

The fraction less than 40 is 215/255 = 43/51 ≈ .843

Answer: 84.3%


6 0
3 years ago
Read 2 more answers
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