Question

((MUCH HELP NEEDED))

One year, a group of doctors held a fundraiser and sent $35,885 to a clinic in need of support. Each year after that, the doctors sent another $2500

After how many years will the total amount sent by the doctors first exceed $250,000?

Answer 1

86.65 years or 87 years

Explanation:

35,885 + 2,500(n-1) = 250,000

Where n is number of years.

Why this?

35,885 is only one time sent

2,500 (n-1) because the doctor starts to send money after each year

So 1st year it's just 35,885, here is the proof:

35,885 + 2,500(1-1)

35885 + 2500(0)

35885.

So the equation 35,885 + 2,500(n-1) = 250,000 works.

Find n?

35,885 + 2,500(n-1) = 250,000 //Subtract 35885 on both sides

2500(n-1) = 250,000-35885

(n-1) = 214,115 / 2500 //Divide both sides by 2500

n-1 = 85.65 //Add 1 on both sides

n = 85.65 + 1

n = 86.65

Answer: 86.65 years or 87 years to nearest round number

//Hope this helps

Answer 2

86 years

Explanation:

Use an explicit equation.

a(n) = 2500n + 35885

250000 = 2500n + 35885

2500n = 214115

n = 86

86 Years.