Answer: A. profit of $4500
<u>Step-by-step explanation:</u>
r(x) = x² + 6x + 10
- <u>c(x) = x² - 4x + 5</u>
(r - c)(x) = 10x + 5
(r - c)(4) = 10(4) + 5
= 40 + 5
= 45
(r - c)(x) represents the profit (in hundreds of dollars) in x months
(r - c)(4) represents the profit (in hundreds of dollars) in 4 months
So, the new store will have a profit of $4500 in 4 months
<u>c) 3, 6, 9 12</u> is NOT a geometric progression
<h3>Further explanation
</h3>
Geometry sequences are series of numbers that have a constant ratio
or can be interpreted:
Each number is obtained by multiplying the previous number by a constant
The sequence can be:
a, ar, ar², ar³, ... etc.
Can be formulated
where:
a is the first term, and
r is the common ratio
So we have to see the series has the same ratio or not
a. 
b. 
c.
d. 
<h3>Learn more
</h3>
a geometric sequence
brainly.com/question/1480821
Determine whether the sequence below is a geometric
brainly.com/question/978528
the formula for a finite geometric series
brainly.com/question/4520322
Keywords : a geometric sequence, the first term, the common ratio
4
That’s what my tutor told me
Answer:
Step-by-step explanation:
Given that acceleration of an object is

is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence 
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0

So solution for distance is

Answer:
2m + 10n - 2p
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
(4m + 7n - 6p) - (2m - 3n - 4p)
<u>Step 2: Simplify</u>
- Distribute negative: 4m + 7n - 6p - 2m + 3n + 4p
- Combine like terms (m): 2m + 7n - 6p + 3n + 4p
- Combine like terms (n): 2m + 10n - 6p + 4p
- Combine like terms (p): 2m + 10n - 2p