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makvit [3.9K]
2 years ago
8

Find the value of each expression. show your work. 9^P3 and 10^C4

Mathematics
1 answer:
Komok [63]2 years ago
3 0
⁹P₃=9×8×7=504; ¹⁰C₄=10×9×8×7÷(4×3×2×1)=210.
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<img src="https://tex.z-dn.net/?f=p%5E%7B2%7D%20%2B6p%3Dq%5E%7B2%7D%2B6q.%5C%5Cp%5Cneq%20q.%5C%5CSolve%20for%20p%2Bq." id="TexFo
Rainbow [258]

Answer:

p + q = -6

Step-by-step explanation:

p^{2} + 6 p = q^{2} + 6q \\p^{2} - q^{2} = 6q - 6p

( p + q) ( p-q) = 6 ( q - p )

p + q = \frac{6 ( q - p)}{(p-q)}  \\p + q = \frac{-6( p - q)}{(p - q)} \\p + q = -6

5 0
2 years ago
Expand and simplify: (x-5)(x+5)
stealth61 [152]
X^2-5x+5x-25 (multiply (x-5) with (x+5))
X^2-25 ( -5x+5x =0)





5 0
3 years ago
Read 2 more answers
You need some cement to pave your driveway. The size of the driveway is 10 feet wide by 30 feet long by 13 foot deep. What volum
Anna71 [15]

Answer:

3,900

Step-by-step explanation:

What i did exactly to get my answer was i multiplied LxWxH

So meaning i did 10x 30 x 13 which got me this answer 3,900

I really try to be a good helper so I hope this helps you Good Luck!!!


8 0
2 years ago
Read 2 more answers
Brian invests £1300 into his bank account.
raketka [301]

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

3 0
3 years ago
In the year 2003 a company made 8.8 million in profits. For each consecutive year after that their profits increased by 6%. How
yaroslaw [1]

Answer:

The company's profit in 2007 was 11.088 millions

Step-by-step explanation:

This is a compound interest problem where the initial amount is 8.8 million, the interest rate is 6% and the time period is 4 years and it gets compounded yearly. So we can use the compound interest formula, that is given by:

A = P*(1 + r/n)^(n*t)

Where A is the final amount, P is the initial amount, r is the rate, t is the total amount of time and n is the number of times it gets compounded in one year. We can now use all the values that were given to us to find out the profit of the company.

A = 8.8*(1 + (0.06))^(4) = 8.8*(1.06)^16

A  = 8.8*1.26 = 11.088 millions

So the company's profit in 2007 was 11.088 millions

6 0
3 years ago
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