Find the future value
A=p (1+r/k)^kt
A=3,200×(1+0.024÷4)^(4×15)
A=4,581.72
interest earned
4,581.72−3,200
=1,381.72
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
Answer:
107.2 seconds
Step-by-step explanation:
Step one:
given
the diameter of ball 8 inches
radius= 8/2 = 4 in
The volume of the ball
Step two:
we know that
rate= quantity/time
rate= 2.4 in per second
quantity= 268.12
time=?
time= quantity/rate
time= 268.12/2.5
time= 107.2 seconds
Key info-there are nine boys for every six girls on the softball team
9/6
9(3)=27. 6(3)18
18+27=45 5 more to go
if there is 50 students on each of the teams
9(5)=45
6(8)=48
As one can see,they both cannot multiply up to 50,but they round up.
