Answer:
q= 2,550
Step-by-step explanation:
Giving the following information:
The demand function is q=-110p+7500.
<u>When the price is 0, the demand q is 7,500 units:</u>
p= 0
q= -110*0 + 7,500= 7,500
<u>Now, when the price is $45, the demand is:</u>
p= $45
q= -110*45 + 7,500
q= -4,950 + 7,500
q= 2,550
Answer:
x = 0.5
Step-by-step explanation:
Well, we have in this case a exponent equation
Factoring 27 = 
Our new equation is:
Applying the property of exponents, on the right we'll have just like that:
now, it's easy to solve this equation. You must solve 3x = 2 - x because the basis of these exponents are equal.
3x = 2 - x
3x + x = 2
4x = 2
x = 1/2 or 0.5
Answer:
C
Step-by-step explanation:
2|6+p|-3p³,
when p=-2
2|6+p|-3p³=2|6-2|-3(-2)³
=2(4)-3(-8)
=8+24
=32
Answer:
D. About 800 years
Step-by-step explanation:
Use the half-life equation:
A = A₀ (½)ⁿ
where A is the final amount,
A₀ is the initial amount,
and n is the number of half-lives.
0.90A₀ = A₀ (½)ⁿ
0.90 = (½)ⁿ
To solve for n, take log of both sides:
log 0.9 = n log 0.5
n = (log 0.9) / (log 0.5)
n = 0.152
It takes 0.152 half-lives. The half-life of carbon-14 is 5730 years.
0.152 × 5730 years = 871 years
The closest answer is D.
