Find the sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160

3495250

Step-by-step explanation:

~geometric sequence

common ratio: r=4

formula: Sn=a1(1-r^n)/1-r

Sn=10(1-(4)^10)/1-4

=-10485750/-3

=3495250

5.6%

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204