Answer:
42,000 + 13q + 2.25q² (Model for total cost)
The total cost = $65,800
Step-by-step explanation:
Given:
Total fixed cost = $42,000
Unit cost, u = 13 + 9v ..........(1)
where,
v is the vendor handling rate = 0.25q ..........(2)
where, q is the quantity produced = 100
substituting 2 in 1, we get
u = 13 + 9 × (0.25q)
or
u = 13 + 2.25q
Now,
for q number of quantities total unit cost = u × q
or
= (13 + 2.25q) × q
= 13q + 2.25q²
Therefore,
the total cost = Fixed cost + total unit cost
or
The total cost = 42,000 + 13q + 2.25q² (Model for total cost)
Hence, for q = 100
total cost = 42,000 + 13 × 100 + 2.25 × 100²
or
The total cost = 42000 + 1300 + 22500 = $65,800
Answer:
Ashley can travel 10 miles with $10.
Step-by-step explanation:
This problem can be modeled with a linear equation:
where y is the total cost and x is the number of miles.
Given a y of 10, you can plug that in and solve for x:
Ashley can travel 9 miles with $10. You can check that either by solving the equation in the other direction, or doing it logically like this:
If she can travel 9 miles at $0.75 per mile, that's $6.75.
$6.75 + the flat rate of $3.25 is $10, so it works.
Answer:
1. = 3.143
2. Circumference
3. Area of the circle is 3850 .
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A =
C = 2r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r =
so that,
C = 2
C = D
=
=
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A =
= x
= x 1225
= 22 x 175
A = 3850
Area of the circle is 3850 .
C = 2r
= 2 x x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
He is scared and is running away from his past
Answer:
1.75*10 to the power of 5
Step-by-step explanation:
start by moving the decimal over until only one number is in front of the decimal. this is because in scientific notation a number can't be higher than 9.
check how many places you move the decimal over (5). 1.75000 needs to be simplified (since that's the point of scientific notation) and can be simplified to 1.75.
the answer is 1.75 multiplied by ten to the power of digits the decimal moved (5) so the answer is 1.75*10 to the power of 5