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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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Greta must volunteer 225 hours for a community service project. She plans to volunteer for 6 hours
klemol [59]

Answer:

A. "an arithmetic sequence with a common difference (d) of -6."

B. 33 hours

C. a_n=a_1+(n-1)d

D. See below

Step-by-step explanation:

A.

Since the sequence lessens by 6, this is an arithmetic sequence with a common difference (d) of -6.

B.

The formula for term of arithmetic sequence is:

a_n=a_1+d(n-1)

Wher a_1 is the first term and d is the common difference. Since we want to find after 33 weeks, we plug in 33 into n:

a_{33}=225 + (-6)(33-1)\\a_{33}=33

She will have left 33 hours

C.

We will use the arithmetic sequence term formula written above, that is:

a_n=a_1+(n-1)d

THis gives us the amount of hours left after a certain number of weeks.

D.

We plug in 40 into n and find the hours left:

a_{40}=225+(40-1)(-6)\\a_{40}=225-234\\a_{40}=-9

THis term is NEGATIVE, which means that Greta will not have to work 40 weeks to fulfill the target of 225 hours. She needs to work less.

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Step-by-step explanation:

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