Answer:
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Step-by-step explanation:
We are given
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula
provided that 0 ≤ x ≤ 200
We are given
profit is $1610
so, we can set P=1610
and then we can solve for x
Multiply both sides by 10
now, we can factor it
we can solve for x
and we get
Since, x=230 does not lie on 0 ≤ x ≤ 200
So, we will consider only x=70
So,
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Answer:
12,288
Step-by-step explanation:
aₙ = 3 (-2)ⁿ⁻¹
a₁₃ = 3 (-2)¹³⁻¹
a₁₃ = 12,288
Answer:
y=3(x+4)²+2
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:
Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605
Answer:
x=103/265 y=18/53
Step-by-step explanation:
5x -9y=1-----------(i)
-7x+2y=-5-----------(ii)
Multiplying eq 1 with 7 gives
35x-63y=7---------eq(iii)
Multiplying eq 2 with 5 gives
-35x+10y=-25--------eq(iv)
adding eq 3 qnd eq 4
35x-63y-35x+10y=7-25
-53y=-18
y=18/53--------eq5
Putting the value of y from eq 5 in eq 1
5x-9(18/53)=-5
5x- 162/53=-5
5x=-5 +162/53
5x= -265+162/53
5x=103/53
x=103/265
