Answer:
= 233.75
Step-by-step explanation:
To find the discount, we multiply the original price by the percent off
discount = 275* .15
= 41.25
To get the sale price, take the original price and subtract the discount
sale price = 275-41.25
= 233.75
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
Every triangle’s inner angles’ addition equals to 180°
So if we find the x:
38°+x+2°+x=180°
40°+2x=180°
2x=180°-40°=140°
x=140°/2
x=70°
Now if we find the I hope this helped :)
Answer:
the answer is A {-5,-3,-1}
Factor<span>: 3x^2 - </span>33x<span> + </span>84<span>. </span>Factor<span> out the Greatest Common </span>Factor<span> (GCF) = 3 3(x^2 - 11x + .... </span>Factor<span> trinomial completely: </span>3x2+33x+84<span>? </span>3x2<span> - </span><span>33x</span>
