Answer:
Step-by-step explanation:
<u>Given a GP where</u>
<u>To find</u>
<u>Solution</u>
- Sₙ = a(rⁿ - 1)/(r -1)
- S₇ = 65(2⁷ - 1)/(2 - 1) = 65*127/1 = 8255
Answer:
The value of g(x) at x=-3 is -42
That is g(-3)=-42
Step-by-step explanation:
Given that the function g is defined by 
To find the value of g(-3) :
That is to find the value of g(x) at x=-3 :

Put x=-3 in the above function we get




Therefore g(-3)=-42
The value of g(x) at x=-3 is -42
That is g(-3)=-42
Now, the percentage figures of say, 70%, 95% and so on, we'll use the decimal format of the, thus 70% is just 70/100 or 0.7 and 95% is just 95/100 or 0.95 and so on
so

whatever "x" and "y" amounts are, we know, they must add up to 160 pints
thus x + y = 160
now, whatever the concentrated amount of solute in the mixture, we know they must add up to 160*0.85 or 136
thus 0.7x + 0.95y = 136
thus

solve for "x", to see how much of the 70% pure juice will be needed
what about "y"? well, y = 160 - x
The goal amount of the student groups are given in percentages, which are fractions based on one hundred.
The flutist raised more money than the trumpeters
The difference in the amounts the student raised is $256.5
Reasons:
The amount the school band is raising for the trip = $9,500
Goal of the flutist = To raise 18% of the total amount
Goal of the trumpeters = 85% of the flutist's goal
Required:
The group that raise more money, given that their goals are met
Solution:
Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.
Required:
The difference in the amount raised by the students
Solution:
The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710
Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5
The difference in the amount raised = $1,710 - $1,453.5 = $256.5