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
Yes. Divide both sides by h to get B= V/h ... how did you add a picture?
Answer: she invested $2500 at the rate of 10%.
she invested $1500 at the rate of 6%.
Step-by-step explanation:
Lisa invests $x in bond A and $y in bond B.
Lisa invests $4,000 in two types of bonds, bond A and bond B. This means that
x + y = 4000
Bond A offers a 10% return, and bond B offers a 6% return. Therefore,
Interest on bond A is 0.1x
Interest on bond B is 0.06y
Her total return on the investment is $340. It means that
0.1x + 0.06y = 340
Therefore, The system of linear equations defining the situation is
x + y = 4000
0.1x + 0.06y = 340 - - - - - - - - - - -1
Substituting x = 4000 - y into equation 1, it becomes
0.1(4000 - y) + 0.06y = 340
400 - 0.1y + 0.06y = 340
- 0.1y + 0.06y = 340 - 400
- 0.04y = - 60
y = - 60/ - 0.04
y = 1500
x = 4000 - 1500
x = 2500
We have to determine the value of 
= (5(9)+6) + (5(10)+6) +(5(11)+6) + .......... + (5(21)+6)
= 51+56+61+66+ ........ + 111
Since, the common difference is 5, hence this series is in arithmetic progression.
Sum of AP is given by the formula:
![\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Since, there are 13 terms.
= ![\frac{13}{2}[2(51)+(13-1)5]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B2%2851%29%2B%2813-1%295%5D)
= ![\frac{13}{2}[102+60]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B102%2B60%5D)
= ![\frac{13}{2}[162]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B162%5D)
= 
= 1053
Therefore, the sum of the series is 1053.
So, Option G is the correct answer.
