Answer:
- 240
Step-by-step explanation:
We have to find the value of the following determinant

Now, we know that the value of a general determinant
is given by [a( ei - fh) + b(fg - di) + c(dh - eg)]
Therefore, the value of the given determinant is
= 4[0 × 4 - (-1)(-2)] + 8[3(-1) - 4 × 4] + 10[4(-2) - 3 × 0]
= - 8 - 152 - 80 = - 240 (Answer)
Answer:
17.5 meters
Step-by-step explanation:
To find how far she walks, multiply 2.5 by 7
2.5(7)
= 17.5
So, in 7 days, she walks 17.5 meters
B. 30% is the better deal
.3x12=3.6
(:
Multiply the sales by the commission rate and add that to the base salary.
45,000 x 0.04 = 1,800
Total pay = 1800 + 380 = $2,180
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