Buying a Car Math Quiz
1 answer:
Answer:
The annual difference in the cost between the two cars in gasoline plus monthly payment per month will be $856.67.
Step-by-step explanation:
Car option "A" gets 18 miles per gallon of gas (MPG) and has a monthly payment of $368.
Now, yearly 12000 miles will consume gallons of gas.
Now, if the gas costs $2.89 par gallons, then yearly fuel cost is $(666.67 × 2.89) = $1926.67
Hence, the yearly cost for option A will be $(1926.67 + 368 × 12) = $6342.67.
Now, car option "B" is a hybrid and gets 60 MPG with a monthly payment of $409.
Now, yearly 12000 miles will consume gallons of gas.
Now, if the gas costs $2.89 par gallons, then yearly fuel cost is $(200 × 2.89) = $578
Hence, the yearly cost for option B will be $(578 + 409 × 12) = $5486.
So, the annual difference in the cost between the two cars in gasoline plus a monthly payment per month will be $(6342.67 - 5486) = $856.67. (Answer)
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The given equation is
(x - 2)² = 5(y + 1).
The given equation for the parabola is in the standard form
(x - h)² = 4p(y - k)
where
h = 2
4p = 5, so that p = 5/4
k = -1
The vertex is at
(h,k) or (2, -1)
The focus is located at
(h, k + p) or (2, -1 + 5/4) = (2, 1/4)
We should place the bulb at p = 5/4 from the vertex.
Answer: 1 1/4 or 1.25 cm
(x - 2)² = 5(y + 1).
The given equation for the parabola is in the standard form
(x - h)² = 4p(y - k)
where
h = 2
4p = 5, so that p = 5/4
k = -1
The vertex is at
(h,k) or (2, -1)
The focus is located at
(h, k + p) or (2, -1 + 5/4) = (2, 1/4)
We should place the bulb at p = 5/4 from the vertex.
Answer: 1 1/4 or 1.25 cm