There are 20 girls and 10 boys on the swim team last summer. this summer, the number of girls secreased by 30% and the number of boys ny 40%. how many members are on the swim team thissummer

40 members

Step-by-step explanation:

If such a count is increased by 30%, the increase is found by multiplying such count by 0.30.  The new count is found by multiplying the original count by 1.30.  

Thus, the number of girls becomes 1.30(20 girls), or 26 girls, and the number of boys becomes 1.40(10 boys), or 14 boys.

Thus, the swim team has (26 + 14), or 40, members.

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

Explanation:

r = common ratio

first term = 4second term = (first term)*(common ratio) = 4rthird term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

5x = 4r4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

a = 4 = first termr = 2, since we want all the terms to be positiven = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092