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MakcuM [25]
2 years ago
6

An investment fund starts at $0 and grows at a rate of $100 per month. Another fund starts at $4000 and reduces by $720 per year

. After how long will the funds have the same amount of money?
Mathematics
1 answer:
Pie2 years ago
6 0

Answer:  2 years 1 month

Step-by-step explanation:

2 years 1 month at $100 a month = $2,500

$720 x 2 years = $1,440

$720 / 12 months = $60

$1,440 + $60 = $1,500

$4,000 - $1,500 = $2,500

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Which of these equations have no solution? Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) =
o-na [289]

Answer:

  • 2(x + 2) + 2 = 2(x + 3) + 1
  • 2x + 3(x + 5) = 5(x – 3)
  • 5(x + 4) – x = 4(x + 5) – 1

Step-by-step explanation:

It can be easier to see the answer if you subtract the right side of the equation from both sides, then simplify.

1. 2(x + 2) + 2 = 2(x + 3) + 1

  2(x + 2) + 2 - (2(x + 3) + 1) = 0

  2x +4 +2 -2x -6 -1 = 0

  -1 = 0 . . . . no solution

__

2. 2x + 3(x + 5) = 5(x – 3)

  2x + 3(x + 5) - 5(x – 3) = 0

  2x +3x +15 -5x +15 = 0

  30 = 0 . . . . no solution

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3. 4(x + 3) = x + 12

  4(x + 3) - (x + 12) = 0

  4x +12 -x -12 = 0

  3x = 0 . . . . one solution, x=0

__

4. 4 – (2x + 5) = (–4x – 2)

  4 – (2x + 5) - (–4x – 2) = 0

  4 -2x -5 +4x +2 = 0

  2x +1 = 0 . . . . one solution, x=-1/2

__

5. 5(x + 4) – x = 4(x + 5) – 1

  5(x + 4) – x - (4(x + 5) – 1) = 0

  5x +20 -x -4x -20 +1 = 0

  1 = 0 . . . . no solution

3 0
2 years ago
Read 2 more answers
If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of
sergejj [24]

Answer:

<em>24.66 mg</em><em> of medicine will be left.</em>

Step-by-step explanation:

The given exponential equation is,

A(t)=ie^{rt}

Where,

A(t) = amount after time t

i = initial amount = 100 mg

r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)

t = time = 10 hours

Putting the values,

A(t)=100e^{-0.14\times 10}

=100e^{-1.4}

=24.66\ mg

3 0
2 years ago
Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe
azamat

Answer:

There are total number of pet fish and reptile pets are 1.49\times 10^8.

Step-by-step explanation:

Number of pet fish are 1.4\times 10^8 and the number of pet reptiles are 9.4\times 10^6.

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8

So, there are total number of pet fish and reptile pets are 1.49\times 10^8.

8 0
2 years ago
Can you show the work for 342.6 times 0.28
Vera_Pavlovna [14]
Use long multiplication to evaluate. 
95.928
8 0
2 years ago
Read 2 more answers
Farmers mowed 60 acres of grass a day instead of 50 and managed to finish the task one day earlier than planned. What is the are
schepotkina [342]
 300 acres. because <span>multiply 60 by 5.</span>
6 0
2 years ago
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