Answer:
x = ±4i or x = ±√-16
Step-by-step explanation:
x² - 5x + 19 = 5x + 3
x² + 16 = 0
x² = -16
x = ±√-16 (a negative square root is an imaginary number)
Answer:
6.1÷8 = 0.7625
31.9÷4 =7.975
4.35÷5 = 0.87
Step-by-step explanation:
If a > 0, b>0, show that f(x)= a(1-e^-bx)
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<span>x-y=1 (1)
x+y=3 (2)
Add (1) and (2) to eliminate y:
x- y + x - y =1 + 3
2x = 4
x = 4/2
</span><span>x = 2
Substitute x = 2 into (1) to find y:
2 + y = 3
y = 3 - 2
y = 1
The solution is (2, 1) </span>
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)