1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tom [10]
3 years ago
15

Solve the linear equation.

Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0

7x+10=13(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=(13)(12x)+(13)(-3)+14x\\\\7x+10=156x-39+14x\\\\7x+10=170x-39\qquad\text{subtract 10 from both sides}\\\\7x=170x-49\qquad\text{subtract 170x from both sides}\\\\-163x=-49\qquad\text{divide both sides by (-163)}\\\\\boxed{x=\dfrac{49}{163}}

You might be interested in
How much 50% sugar syrp shoud you add to 20 quarts of 20% syrup to make it 40%
butalik [34]

Answer:

reduce 10 qauts of 50%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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
A stick is 9 m long. A rope is 2 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each
givi [52]
The length of rope(consist of 3 pieces)=9*2=18m
One piece=18/3=6m
Pls mark me as the Brainliest as I really need it!
6 0
3 years ago
Read 2 more answers
In rectangular form, 6(cos120°, isin120°)
anastassius [24]

Answer:

  (-3, 3√3)

Step-by-step explanation:

Evaluate each of the coordinates. Keep or drop the "i" as your convention requires.

  6(cos(120°), i·sin(120°)) = (6·cos(120°), i·6·sin(120°)) = (6(-0.5), i·6·√3/2)

  = (-3, 3√3 i)

You may want the (x, y) coordinates written as (-3, 3√3).

___

In the complex plane, this is -3+i·3√3.

7 0
3 years ago
Each month for 7 months, Samuel mows 3 lawns . How many more lawns does he need to mow before he has mowed 29 lawns
Nimfa-mama [501]
The answer is 8 : ) hope this helped
8 0
3 years ago
Other questions:
  • which expression is equivalent to 5(2x - 7) A. 2x - 35 B. 7x - 2 C. 7x - 12 D. 10x - 7 or E. 10x - 35
    15·1 answer
  • Need help fast thanks
    7·2 answers
  • What are the roots of the equation?<br><br> x^2(6x−11)(7x−8)=0
    11·2 answers
  • the ratio of the number of men to the number of women on a bus was 2:3 at a bus stop. 4 women got off and the ratio became 4:5.
    10·1 answer
  • What is a rational number that's not an integer
    5·1 answer
  • a store sells 2 pounds of tomatoes for $7. Write an equation that represents the cost, c, for t pounds of tomatoes
    6·1 answer
  • The price of a sandwich is $2.50 more than the price of a smoothie, which is d dollars. What does the expression d +25 represent
    13·1 answer
  • 60 Points PLEASE HELP. I have no more points after this lol so help please
    14·2 answers
  • Find the degree of the monomial.<br> -4a^4
    6·2 answers
  • Identify the correct equation that matches the graph.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!