Answer:
f(-3) = 6
Step-by-step explanation:
input -3 in f(x)
so f(-3) = -3(-3) - 3
multiple and add
f(-3) = 6
Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11
Answer:
$ 31050
Step-by-step explanation:
<em>Step 1 : Write the formula for calculating simple interest.</em>
Simple Interest = <u>P x R x T </u>
100
P: Principal Amount-The loan taken (30,000)
R: Interest rate at which the loan is give (6)
T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)
<em>Step 2: Substitute values in the formula</em>
Simple Interest = <u>30,000 x 6 x 7/12</u>
100
Simple Interest = $1050
<em>Step 3: Calculate the amount due at maturity</em>
At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.
Amount at maturity = Principal Amount + Simple Interet
Amount at maturity = 30,000 + 1050
Amount at maturity = $31050
!!
I just answered this.... :]
x - 0.05x = 57,
0.95x = 57,
57/0.95 = original price
Original price = $60
