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Ivenika [448]
3 years ago
6

What is the value of S4 for

Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

90

Step-by-step explanation:

To find s4  we find sum of values when n=1,n=2,n=3,n=4

given expression is 6(2)^{n-1}

n=1 , plug in 1 for n

6(2)^{1-1}=6

n=2

6(2)^{2-1}=12

n=3

6(2)^{3-1}=24

n=4

6(2)^{4-1}=48

Sum of all 4 terms = 6+12+24+48=90

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Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f
worty [1.4K]

Answer:

<u>Part 1:</u>

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

<u>Part 2:</u>  $270

<u>Part 3:</u>  $320

<u>Part 4:</u>  11 months

<u>Part 5:</u>  See explanation below

Step-by-step explanation:

<u>Part 1:</u>

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

<u>Part 2:</u>

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

<u>Part 3:</u>

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

<u>Part 4:</u>

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

<u>Part 5:</u>

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

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