Answer:
8
Step-by-step explanation:
If you count up, 3 is 1 million and 8 is 10 million.
Answer:
the least integer for n is 2
Step-by-step explanation:
We are given;
f(x) = ln(1+x)
centered at x=0
Pn(0.2)
Error < 0.01
We will use the format;
[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01
So;
f(x) = ln(1+x)
First derivative: f'(x) = 1/(x + 1) < 0! = 1
2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1
3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2
4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6
This follows that;
Max|f^(n+1) (c)| < n!
Thus, error is;
(n!/(n + 1)!) × 0.2^(n + 1) < 0.01
This gives;
(1/(n + 1)) × 0.2^(n + 1) < 0.01
Let's try n = 1
(1/(1 + 1)) × 0.2^(1 + 1) = 0.02
This is greater than 0.01 and so it will not work.
Let's try n = 2
(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267
This is less than 0.01.
So,the least integer for n is 2
1 chair is 79.99
40% discount
79.99 ÷ 100 =0.7999
0.7999 × 60 = 47.994
47.994 rounded down is $47.99
79.99-47.99=30.00
he saved $30
Answer:
x =76.45 degrees
Step-by-step explanation:
72 + 252 – 2(7)(25)cos _x__=242
combine like terms
324-350cosx = 242
subtract 324 from each side
-350x = -82
divide by -350
cos x = -82/-350
cos x = 82/350
take the arccos of each side
arccos (cos x) = arccos (82/350)
x =76.45 degrees
Answer: 7689 tickets
Step-by-step explanation:
Since tickets was sold for every seat, the total number of tickets that were sold will be the addition of the 802 seats in the balcony and 6887 seats on the main floor. This will be:
= 802 + 6887
= 7689 tickets
