Answer:
<u>Eric earned last month US$ 9,786.25</u>
Step-by-step explanation:
Commission of Eric on each house sold = 5% = 0.05
House 1 $55,000
55,000 * 0.05 = $ 2,750
House 2 $105,525
105,525 * 0.05 = $ 5,276.25
House 3 $35,200
35,200 * 0.05 = $ 1,760
Eric earned last month = $ 2,750 + $ 5,276.25 + $ 1,760
<u>Eric earned last month US$ 9,786.25</u>
y = 180° - x
x = 180° - (82° + 54°) } => y = 82° + 54° = 136°
Answer:
1.38 to the nearest hundredth.
Step-by-step explanation:
Dividing:
x + 1 ) 3x - 1 ( 3
3x + 3
-4
so (3x - 1) / (x + 1) = 3 - 4 / x+ 1
Integral of (3 - 4 / x+1 ) = 3x - 4 ln(x + 1)
Between limits of 1 and 2 we have:
(3(2) - 4 ln 3) - (3 - 4 ln2)
= 1.6056 - 0.2274
= 1.3782.
the value of (-3)4+(-2)4×(-1)4 is -24
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.
