Answer:
Her proximate APR is 5.1%
Step-by-step explanation:
The formula of the APR is
×
× 100%, where
- FC is the finance charge
- A is the amount financed
- m is the number of months
∵ Whitney bought a watch for $107.5
∴ A = 107.5
∵ The finance charge was $11
∴ FC = 11
∵ She paid for it over 6 months
∴ m = 6
- Substitute these values in the formula above
∵
×
× 100%
∴ APR = 5.11627907%
- Round it to the nearest tenth
∴ APR = 5.1%
Her proximate APR is 5.1%
Answer:
The answer is A.
Step-by-step explanation:
It's to much , sorry.
Answer: the value of the directional derivative of the pressure function at Kearney in the direction of Sioux City is - 0.09 mb/km
Step-by-step explanation:
lets make an assumption that P is the pressure of the function
Now to estimate the value of the directional derivative of the pressure function at Kearney in the direction of Sioux City wil be DuP
The initial point of the line joining the point of kearney and sioux lays on the level curve which represent 1000mb of pressure
and the terminal point of the line joining the point of kearney and sioux lays on the level curve which represent 972 mb of pressure
so let our X1 = 1000 mb
X2 = 972 mb
the given distance between kearney and sioux d = 300 km
so the directional derivative DuP at Kearney in the direction of Sioux City is approximated by finding the average rate change of the pressure between the points
so DuP = (X2 - X1) / d
= (972 - 1000) / 300
= -28 / 300
= - 0.09 mb/km
Therefore the value of the directional derivative of the pressure function at Kearney in the direction of Sioux City is - 0.09 mb/km
Let event A be the first light being red.
Let event B be the second light being red.
P(A) = 0.48
P(A & B) = P(A) * P(B) = 0.35
P(B) = 0.35 / P(A)
P(B) = 0.35 / 0.48
P(B) = 0.73
Since the lights are independent, P(B|A) = P(B) therefore d is the correct answer.