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MakcuM [25]
3 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:
Pie3 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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Graphing proportional relationships
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a. The unit rate is 9 d per t

b. Find the graph in the attachment

To graph the line, we need to find its gradient or unit rate

<h3>a. How to calculate the unit rate of change of d with respect to t?</h3>

Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.

The gradient or unit rate of change is m = change in d/change in t

= Δd/Δt

Since

  • Δd = +1.8 units and
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So, substituting the values of the variables into the equation, we have

m = Δd/Δt

= + 1.8 units/+ 0.2 units

= 9 d per t

So, the unit rate is 9 d per t

<h3>b. The graph of the line</h3>

To graph the function, we need to know the equation of the graph.

So, the equation of a graph in gradient form is

m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin

Since m = 9, we have

m = (y - y')/(x - x')

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9 = y/x

y = 9x

So, the equation of the line is y = 9x

Find the graph in the attachment.

Learn more about graphs here:

brainly.com/question/3939432

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6 0
1 year ago
Find the value of X in this equilateral triangle.
Andrei [34K]

Answer:

x=4

Step-by-step explanation:

Since this is an equilateral triangle, all the sides are equal

6x = 4x+8 = 3x +12

Using the last 2 parts

4x+8 = 3x +12

Subtract 3x from each side

4x-3x +8 =3x+12-12

x+8 = 12

Subtract 8 from each side

x+8-8=12-8

x = 4

7 0
3 years ago
4) Which ordered pair is a solution to the linear<br> inequality below?<br> y 2 - 2x + 7
nata0808 [166]

Answer:

(0,9), (1,7), and (2,5)

Step-by-step explanation:

i found three tell me if theyre wrong

6 0
3 years ago
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Trava [24]

Answer:

40

Step-by-step explanation:

It’s same as <5

6 0
2 years ago
Giving thanks and brainliest whoever answers first!!!!!!
Alona [7]

$15

hope this helps u

..............

7 0
3 years ago
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