Answer:
y=45000(1-0.03)^x
Step-by-step explanation:
1) the exponential decay formula is
y=c(1-r)^x
where c= starting amount
r=rate of change
x=time
so
y=45000(1-0.03)^x
y=45000-1350x
6. No, the conclusions wrong because 20 out of 50 peoples favourite is drawing which means 20/50 which equals 0.4 times 100 which is 40% not 60%
7. Yes, the conclusion is right because 5/50 is equal to 0.1 times 100 which is 10%
In this question, we made a license that does not allow repeated digit and letter. That means the probability count of letter and digit will be decreased by 1 for every roll.
There is 10 kinds of digits (0-9) and 26 kinds of letters (a to z). So, 2 digits and 5 letter would be:
(10 * 9) * (26 * 25 * 24 * 23 * 22)= 710424000 kinds of license plates
Answer: 4
Step-by-step explanation:
1 + 3 = 4. this has gotta be one of the hardest questions i've had to answer on this site
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
