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.
Answer:
yes
Step-by-step explanation:
60 - 0.1(60) = 54
60 - 6 = 54
54 = 54
ANSWER

EXPLANATION
The given function is a piecewise defined function.

is the y-value that corresponds to

To determine that y-value, we need to trace from

to where it meets the graph.
We then trace to the y-axis to determine the corresponding y-value as shown in the diagram.
From the graph, we can see that this x-value corresponds to a y-value of

This implies that, when

Therefore

See graph.
Answer:
D. 2/3 per year.
Step-by-step explanation:
3 1
3
÷ 5
=
10
3
÷ 5
=
10
3
×
1
5
=
10 × 1
3 × 5
=
10
15
=
10 ÷ 5
15 ÷ 5
=
2
3
The answer is B) Exponentially, shows a constant percentage in sales per month