Thank you this response is short and to the point while still helping me understand the problem
-1 + 4 = 3
< How many three-digit positive integers are there? >
From 100 to 999 inclusive there are 900 integers.
999 - 100 + 1 = 900 numbers.
listfor(x, 100, 200, If(x % 6 ==x % 8, x, 0))
n =(100, 101, 120, 121, 122, 123, 124, 125, 144, 145, 146, 147, 148, 149, 168, 169, 170, 171, 172, 173, 192, 193, 194, 195, 196, 197) = 26 such numbers between 100 and 200.
listfor(x, 1, 20,if(3/x > 1/3 and 3/x < 3/4, x, 0): x =5, 6, 7, 8
Sum = 5 + 6 +7 +8 = 26
I'm confused on how you got the "4/pi" in front of sin(pi x)
-8pi is about -25.13
10pi is about 31.41
So the integers that satisify this inequality would be -25 to 31 which is
The common difference is -21.2 - (-7.4) = -13.8
So
an = an-1 - 13.8, where a1 = - 7.4
9!
_________ = 15,120 identifiable "words"
3! * 2! * 2!
is it $2.37 ?
Option A.....possible outcomes
(1, 1) (2, 2)
(1, 2) ( 2,5)
(2, 1) (5,2)
(1, 5) (5, 5)
(5, 1)
Expected vlalue = (3/9)(8) - (6/9)(2) = 8/3 - 4/3 ≈ $1.33
Option B
Expected value (50/((1/8) - (1)(7/8) ≈ $5.38
Ptiob B is better by $ [ 5.38 - 1.33] = $4.05
Did you forget something IMPORTANT in your question?
Arrangements of how many letters in a "word"? 1-letter, 2-letters, 3-letters.........9-letters ??
$29,635 - $8,000 =$21,635 -The loan amount. N=4*12; R=0.0712/12;PV=21635; PMT=PV*R*((1 + R)^N) / ((1 + R)^(N) - 1) LOAN PMT =$ 519.28 $519.28 x 48 months[4 years] - $21,635 =$3,290.44 - Total interest on the loan.
log 2 (9-2^x) = 3-x ......in exponential form, we have
2^(3-x) = 9 - 2^x
2^(3 - x) + 2^x = 9
2^3 / 2^x + 2^x = 9
2^3 + 2^(2x) = 9^(x)
2^(2x) - 9^(x) + 8 = 0
(2^x - 8) ( 2^x - 1) = 0
So we have that either
2^x - 8 = 0 or 2^x - 1 = 0
2^x = 8 2^x = 1
x = 3 x = 0
\(\displaystyle \int \limits_{-\frac 1 2}^{\frac 1 2}4\cos(\pi x)-(12x^2-3) ~dx = \\ \left . \dfrac 4 \pi \sin(\pi x)-(4x^3-3x) \right|_{-\frac 1 2}^{\frac 1 2}\)
I leave you to complete it
how would i write this in money form ? Im confused. Could you explain?
oh okay now I see where I made my mistakes Thank you for your explaination I will take notes on this. Could yu help me with the second question?
The answer is wrong.
This is what I needed. Thank you so much!
Thank you for your explaination I will take notes on this. Could yu help me with the second question?
