Please answer question correctly 30 POINTS!

Mathematics

1 answer:

Svet_ta [14]2 years ago

5 0

Answer: 3rd option

Step-by-step explanation: The answer would be the third option. Let's go through each one and explain why it's correct or incorrect. First of all, our function is y = x - 3 so we can plug numbers into our X and Y. If we follow the function y = x - 3, we have 8 = 10 - 3 which is incorrect for the first one so that can't be it. For the nest one, we have 13 = 10 - 3 which also does not make sense. For the third one, we have 7 = 10 - 3 which is correct. And the last one, we have 3 = 10 - 2 which is wrong. Therefore, the third option is the answer.

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A refrigerator costs $580 a year to run. A family purchases a new one for $1200 that will save them 22% annually in energy costs

NeTakaya

Answer:

It will take nine years and four months for the refrigerator to pay for itself.

Step-by-step explanation:

The new refrigerator which costs $1200, saves the family 22% annually in energy cost.

Since the old refrigerator costs $580 to run, we want to determine how many years it will take for 22% of $580 per year to make $1200.

22% of $580

= 580 × 0.22

= 127.6

That is, it saved then $127.6 per year.

Now,

$1200/127.6

≈ 9.4

Which means, it will take 9 years and 4 months for the refrigerator to pay for itself.

7 0

2 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x

Alekssandra [29.7K]

Answer:

x ≈ 5.89

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra II

Exponential to Logarithmic: $\displaystyle b^m=x \rightarrow log_bx=m$

Step-by-step explanation:

Step 1: Define

Identify

0.77 = log(x)

Step 2: Solve for x

[Equality Property] Raise both sides to the 10th power: $\displaysytle 10^{0.77} = 10^{logx}$
Simplify: $\displaysytle x = 10^{0.77}$
Evaluate: $\displaysytle x = 5.88844$