Tree pruning company A charges a one time $100 fee and $50 for each tree that they prune. Tree pruning company B charges a one time $80 fee and $60 for each tree that they prune.Let the variable t represent the amount trees pruned and c represent the cost. For how many pruned trees will the cost be the same for both companies?

Which system of equations can be used to solve this problem?

A. {c=150t
c=140t

B. {c=100−50t
c=80−60t

C.{c=100+50t
c=80+60t

D. {c=50+100t
c=60+80t

Answers

Answer 1

Answer: The answer to this question should be C

Answer 2

Answer: if you put the onetime fee as y intercept and rate as slope you will get the answer.

A: y=50x+100
B: y=60x+80

use desmos and the intersection is when the prices become the same

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Advance tickets for a school play went on sale. The price of each student ticket was $4 and everyone else paid $5. On the first day, no more than $80 in tickets were sold. Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.

F(x)=x^2+1;g(x)= x-3
Help me find (f•g)(x)

Answers

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A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.

Answers

Answer: 7366.96 dollars

========================================================

Use the compound interest formula:

A = P(1+r/n)^(n*t)

where in this case,

A = 12000 = amount after t years

P = unknown = deposited amount we want to solve for

r = 0.05 = the decimal form of 5% interest

n = 1 = refers to the compounding frequency (annual)

t = 10 = number of years

-------

Plug all these values into the equation, then solve for P

A = P(1+r/n)^(n*t)

12000 = P(1+0.05/1)^(1*10)

12000 = P(1.05)^(10)

12000 = P(1.62889462677744)

12000 = 1.62889462677744P

1.62889462677744P = 12000

P = 12000/1.62889462677744

P = 7366.95904248911

P = 7366.96

Solve for x:
- 11x + 32.5 < 82

Answers

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

What is 28 divided by 1,000

Answers

Answer:0.028

Step-by-step explanation:

Answer:

0.028

Step-by-step explanation:

I used a calculator.

7. Which method would be the most efficient to solve the system? y = 1/2x, 2x + 3y = 28A) graphing
B) substitution
C) elimination
D) distributive

Answers

y = ¹/₂x
2x + 3y = 28

   2x + 3y = 28
2x + 3(¹/₂x) = 28
   2x + 1¹/₂x = 28
   3¹/₂x = 28
      3¹/₂ 3¹/₂
   x = 8
y = ¹/₂x
y = ¹/₂(8)
y = 4
(x, y) = (8, 4)
The method would be a substitution method (the answer is B).

8(3a + 7) = 8+3(6a - 6)