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nika2105 [10]
3 years ago
15

Maggie wants to buy a new energy­efficient refrigerator. Her old refrigerator uses about 1200 kWh per year,while the new one wou

ld use about 400 kWh per year. Approximately how much money would Maggie saveper year if she buys the new refrigerator?
Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

800 Kwh

Step-by-step explanation:

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Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2
Firlakuza [10]

Answer: y²z⁴ / x¹²

  • The exponent of x is 12

  • The exponent of y is 2

  • The exponent of z is 4

Explanation:

1) Given expression to simplify:

((x^2y^3)^{-1}(x^{-2}y^2z)^2)^2

2) Property: power of power:

(x^{-4}y^{-6})(x^{-8}y^8z^4)

3) Property: product of powers with the same base

x^{(-2-8)}y^{(-6+8)}z^4

4) Add the exponents

x^{-12}y^2z^4

5) Pass the negative power to the denominator:

\frac{y^2z^4}{x^{12}}

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4 0
4 years ago
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7
Sergeeva-Olga [200]

Answer:

Bank A

Step-by-step explanation:

We find the Simple Interest for each Bank

Bank A

A savings account at bank A earns 5%

simple interest.

Where

P = $5,000.00

R = 5%

T = 2 years

Compound quarterly = 4

First, convert R percent to r a decimal

r = R/100

r = 5%/100

r = 0.05 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.0125/4)(4)(2)

A = $ 5,522.43

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 522.43

For Bank B

P = $5,000.00

R = 4%

T = 2 years

Compound quarterly = 4

First, convert R percent to r a decimal

r = R/100

r = 4%/100

r = 0.04 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.01/4)(4)(2)

A = $ 5,414.28

A = $ 5,414.28

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 414.28

Therefore, the bank that would give Gabriel more interest is Bank A

5 0
3 years ago
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