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Arisa [49]
3 years ago
8

What the answer for question b

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

I’m in high school I’m sorry about that


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A student wants to save at least $5000 for college. She begins with a savings account set up by her parents containing $2,500. E
Tamiku [17]

Answer: She deposits 50 dollars per month right? But as known her parents deposited her 2,500. So, it will take her 50 months to complete the amount of  5000 dollars needed for college.

Step-by-step explanation: Im not good with equations but here  we go.

First: AS we know the account already had 2,500, and every month she deposits 50$.

What we can do is to divide 2,500 divided by 50 which will be 50.

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Yah units doesn't affect the theorem
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Solve the equation for b: -4b + 18 = -6
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Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
rjkz [21]

Given:

The explicit function is:

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}

To find:

f(1)=?,r=? and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

f(n)=ar^{n-1}            ...(i)

Where, a is the first term and r is the common ratio.

We have,

f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}         ...(ii)

On comparing (i) and (ii), we get

a=1000

f(1)=1000

And,

r=\dfrac{1}{4}

For n=1,

f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}

f(1)=1000\left(\dfrac{1}{4}\right)^{0}

f(1)=1000(1)

f(1)=1000

For n=2,

f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}

f(2)=1000\left(\dfrac{1}{4}\right)^{1}

f(2)=1000\times \dfrac{1}{4}

f(2)=250

Similarly, substituting n=3,4,5, we get

f(3)=62.5

f(4)=15.625

f(5)=3.90625

Therefore, f(1)=1000,r=\dfrac{1}{4} and the first five terms are 1000,250,62.5,15.625,3.90625.

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