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Kobotan [32]
3 years ago
15

Factor the algebraic expression. 24a + 15 24a + 15 =

Mathematics
2 answers:
Step2247 [10]3 years ago
5 0

Answer:

24a + 15

a= 24 - 15

= 09

a = 9 answer.

hichkok12 [17]3 years ago
3 0

Answer:

x = 5/8

Step-by-step explanation:

24a = 15

Divide both sides by 24:

24a ÷ 24 = 15 ÷ 24

x = 5/8

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6. If the net investment function is given by
Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated  capital for the period.

  • (a) The capital formation from the end of the second year to the end of the fifth year is approximately <u>298.87</u>.

  • (b) The number of years before the capital stock exceeds $100,000 is approximately <u>46.15 years</u>.

Reasons:

(a) The given investment function is presented as follows;

I(t) = 100 \cdot e^{0.1 \cdot t}

(a) The capital formation is given as follows;

\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot  e^{0.1 \cdot t}} + C

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore,  for the three years; Year 3, year 4, and year 5, we have;

\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

\displaystyle  \mathbf{\left[1000 \cdot  e^{0.1 \cdot t}} + C \right]^t_0} = 100,000

Which gives;

\displaystyle 1000 \cdot  e^{0.1 \cdot t}} - 1000 = 100,000

\displaystyle \mathbf{1000 \cdot  e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000

\displaystyle e^{0.1 \cdot t}} = 101

\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15

The number of years before the capital stock exceeds $100,000 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0
2 years ago
(50)points 5 questions!
vodomira [7]
I believe the answers are 1. C 2. B 3. D 4. C 5. A
3 0
3 years ago
Read 2 more answers
The normal body temperature of a camel is 37 degrees Celsius the temperature varies by up to three degrees C throughout the day.
natta225 [31]
The normal body temperature : to = 37° C
An inequality is:
| t - to | ≤ 3
| t - 37 | ≤ 3
t - 37 ≤ 3     AND  ( - t - 37 ) ≤ 3
t ≤ 3 + 37               - t + 37 ≤ 3
t ≤ 40                     - t ≤ 3 - 37
                              - t ≤ - 34   / * ( - 1 )
                                t ≥ 34
Answer t ∈ [  34°C,  40° C ].
4 0
3 years ago
Find the ratio of triangles to circles in the diagram below
Sedaia [141]

Answer:

Ratio should be equal so ratio is 3:3

<h3 /><h3>PLEASE MARK ME BRAINLIEST.</h3>
7 0
2 years ago
The ratio of cassette to compact disc is 10 to 3 and the number of cassettes is 10 less than 5 times the number of compact discs
OlgaM077 [116]

There are 20 cassettes.

Step-by-step explanation:

Given,

Ratio of cassette to compact disc = 10:3

Let,

the number of cassettes = 10x

Number of compact disc = 3x

According to given statement;

the number of cassettes is 10 less than 5 times the number of compact discs.

10x = 5(Number of CD) - 10

10x=3(5x)-10 \\10x=15x-10\\10=15x-10x\\10=5x\\5x=10

Dividing both sides by 5

\frac{5x}{5}=\frac{10}{5}\\x=2

Number of cassettes= 10x = 10(2) = 20

There are 20 cassettes.

Keywords: variable, ratio

Learn more about variables at:

  • brainly.com/question/10414011
  • brainly.com/question/10483199

#LearnwithBrainly

5 0
3 years ago
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