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:
x = ±2sqrt(15)
Step-by-step explanation:
x^2 = 60
Take the square root of each side
sqrt(x^2) = ±sqrt(60)
x = ±sqrt(60)
x = ±sqrt(4 *15)
x = ±2sqrt(15)
Answer is 19.99 dollars
Explanation:
Let us draw the reconciliatin done by Yolanda linewise
Banking reconciliation Worksheet Amount of Mega
1) Closing balance $ 345 89
2) the sum of any outstanding deposits or credits. 0.00
3) Sum of 1 and 2 345.89
4. sum of any outstanding checks or debits. $ 37 51 5.
5) (3)-(4) $ 308 38
6) checkbook balance. $ 328 37
7) Difference (6)-(5) $ 19.99
SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
<u>if they join together</u>:
- 3x + 2 + x = 10
- 4x + 2 = 10
- 4x = 10 -2
- 4x = 8
- x = 2
<u>Longer piece</u>:
