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KonstantinChe [14]
1 year ago
11

Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. A

fter 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?
Mathematics
2 answers:
musickatia [10]1 year ago
3 0

Answer:

$2 more.

Step-by-step explanation:

In this question, we have to find how much more money Victoria is saving.

We know that Jacob saved $174 in 3 months.

We also know that Victoria saved $360 in 6 months.

Lets find how much money they save per month:

Jacob:

174 ÷ 3 = 58

Victoria:

360 ÷ 6 = 60

Jacob is saving $58 per month and Victoria is saving $60 per month.

This means that Victoria is saving $2 more than Jacob per month.

Mice21 [21]1 year ago
3 0

Answer:

2

Step-by-step explanation:

multiply by 2 and then divide by 6

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levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

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t ----> the number of years

we have a exponential function of the form

y=a(b)^{t}

where

a is the initial value

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In this problem

a=9,400\ people

b=100\%-14.3\%=85.7\%=85.7/100=0.857

substitute

y=9,400(0.857)^{t}

Remember that

The town's tax status will change once the population is below 6,000 people

so

The inequality that represent this situation is

9,400(0.857)^{t}< 6,000    

Solve for t

(0.857)^{t}< 6,000/9,400

Apply log both sides

(t)log(0.857)< log(6,000/9,400)

-0.067t< -0.1950

Multiply by -1 both sides

0.067t > 0.1950

t > 2.9\ years

so

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

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As a <em>unique feature</em> of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.

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The <em>symmetry</em> is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.

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Answer:

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Step-by-step explanation:

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