Answer:
A. 3.5
Step-by-step explanation:
Given that AB is parallel to A'B', therefore,
CB/CB' = CA/CA'
CB' = 7
CB = CB' + BB' = 7 + BB'
CA' = 6
CA = CA' + AA' = 6 + 3 = 9
Plug in the values
(7 + BB')/7 = 9/6
(7 + BB')/7 = 3/2
Cross multiply
2(7 + BB') = 7(3)
14 + 2BB' = 21
Subtract 14 from both sides
2BB' = 21 - 14
2BB' = 7
Divide both sides by 2
BB' = 7/2
BB' = 3.5
(a) -2 and -10
(b) -1 and 5
(c) 1 and -4
Answer:
If the capitalization method is continuous, the interest obtained will be $104986.99
Step-by-step explanation:
Cn = Co * (1 + i)^n
Co = 380,000
i = 0.05
n = 5
So:
Cn =380,000 * (1+.05/1)^(1*5)
Cn = 380,000 * (1+.05)^5
Cn = 380,000 * (105)^5
Cn = 380,000 * (1.2763)
Cn = 484,986.99
Cn - Co = interest acumulated:
484,986.99-380,000 = $104986.99
Answer:
that is the correct answer
Answer:
[-6,-3]
Step-by-step explanation:
So we have the compound inequality:

Let's solve for each of the inequalities:
1)
We have:

Subtract x from both sides:

Subtract 7 from both sides:

So that's one of our answers.
2)
We have:

Subtract 3x from both sides:

Subtract 4 from both sides:

Divide both sides by -2. Since we're dividing by a negative, flip the sign:

Therefore, our entire answer is:

This means all values in between -3 and -6 including -3 and -6.
In interval notation, this is:
![[-6,-3]](https://tex.z-dn.net/?f=%5B-6%2C-3%5D)
So, A is -6.
And B is -3.
And we're done :)