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N76 [4]
3 years ago
13

Log base 4 (x+3)=-3 thank you!

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

x= -15/4 => x= -3 3/4 or x= -3.75

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The price of a computer component is decreasing at a rate of 15​% per year. State whether this decrease is linear or exponential
Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

6 0
3 years ago
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown. Step 1: –c = ax2 + bx
Goshia [24]

Answer:

Subtract c from each side, using the subtraction property of equality

Step-by-step explanation:

0 = ax^2 + bx + c

Subtract c from each side, using the subtraction property of equality

-c = ax^2 + bx + c-c

-c = ax^2 + bx

4 0
3 years ago
Read 2 more answers
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.
Igoryamba

For two shots Pedro has four outcomes:

<u>1 shot | 2 shot</u>

score | score

score | not score

not score | score

not score | not score

The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:

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2. 0.3·0.7=0.21;

3. 0.7·0.3=0.21;

4. 0.7·0.7=0.49.

In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.

Answer: 0.09.

8 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLY IF CORRECT IM TAKING AN MATH EXAM!!
choli [55]
The answer is C
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3 years ago
The value of a company's equipment is $25,000 and decreases at a rate of 15% per year. What is the value after 9 years?
Sindrei [870]

Answer:

6,812.26

Step-by-step explanation:

I found the answer key

7 0
3 years ago
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