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Romashka [77]
3 years ago
6

If (a^x a ^y) - a^z = a^m then express m in terms of x, y and z.​

Mathematics
1 answer:
omeli [17]3 years ago
8 0

Answer:

m = x+y-z

Step-by-step explanation:

Given the expression.

(a^x a ^y) ÷ a^z = a^m

We are to express m in terms of x, y and z.

Using the multiplicative law of indices, the expression becomes:

a^{x+y} ÷ a^z = a^m

Applying the division rule in indices

a^{x+y} ÷ a^z = a^{x+y-z}

The equation becomes

a^{x+y-z} = a^m

Cancel out the base and equate the powers as shown:

x+y-z = m

Hence the expression of m in terms of x, y and z is m = x+y-z

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Sarah thinks there will be 60 people at the party. show that the cost will be $1350
svetoff [14.1K]
750+20(30)=1350
Or do you need to explain it?
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3 years ago
What minus 31 equals to 213
faltersainse [42]

Answer:

244?

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP ME!!!!!
solong [7]

The full workings for the house purchase you made on a mortgage are as follows:

1. Price of House = $499,000 (given)

2. Down Payment = $99,800 ($499,000 x 20%)

3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).

4. Monthly Payment = $2,522.94 (given)

5. Number of monthly payments = 360 months (30 x 12)

6. Total Payback = $908,258.40 ($2,522.94 x 360)

7. Total Interest = $509,058.40 ($908,258.40 - $399,200)

8. Assessed Valuation = $199,600 ($499,000 x 40%)

9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)

10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12

11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)

<h3>What is a mortgage?</h3>

A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.

The borrower then makes a monthly payment, which includes the principal and its interest.

Learn more about mortgage payments at brainly.com/question/22846480

#SPJ1

3 0
2 years ago
50 - 5 to the second power divided by 5
Llana [10]

Hey!

--------------------------------------------------

Steps To Solve:

50 - 5² ÷ 5

~Solve for exponent

50 - 25 ÷ 5

~Divide

50 - 5

~Subtract

45

--------------------------------------------------

Answer: \Large\boxed{\mathsf{45}}

--------------------------------------------------

Hope This Helped! Good Luck!

4 0
3 years ago
2/3x + 1/6 = -3/4 x + 1
Marta_Voda [28]
Multiply all terms by 12/1 to get rid of fractions.
8x+2= -9x+12

Add 9x to both sides
17x+2=12

Subtract 2 from both sides
17x=10

Divide both sides by 17
x=10/17

Final answer: x=10/17
8 0
3 years ago
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