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Virty [35]
4 years ago
5

An anthropologist finds bone that her instruments measure it as 0.921% of the amount of Carbon-14 the bones would have contained

when the person was alive. How long ago did the person die?
The half life of carbon 14 is 5,730 years. Round your answer to the nearest thousand.
Mathematics
1 answer:
Naily [24]4 years ago
5 0
Formula for C - 14 dating:
Age = [ ln ( percent/100 ) / ln (1/2 ) ]  * 5,730 =
= [ ln ( 0.00921 ) / ln ( 0.5 ) ] * 5.730 =
= [( - 4.68746 ) : ( - 0.6931478 )] * 5,730 =
= 6.7626 * 5,730 = 38,749.56 ≈ 39,000 ( rounded to the nearest thousand )
Answer: The person died about 39,000 years ago.

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Jon invests $4,100 into an account that pays 5 percent simple interest each year.what is the total balance in the account after
AlladinOne [14]
% Interest = 5%
 Principal Amount = $4100
Period Of Pay = 3 yrs

Interest Amount
5/100 × 4100 × 3 
  =615

Amount After Interest
4100 + 615 = 4715

Answer = 4715
7 0
3 years ago
Read 2 more answers
Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta
MrMuchimi

Answer:

The equation that best models this situation is :

b. \frac{x}{20}=\frac{x+400}{25}

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (x+400) miles

Speed of Train Z can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x+400}{25}\ miles/h

Since the speeds are same, so the equation to find x can be given as:

⇒ \frac{x}{20}=\frac{x+400}{25}

Solving for x

Multiplying both sides by 100 to remove fractions.

⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}

⇒ 5x=4(x+400)

Using distribution.

⇒ 5x=4x+1600

Subtracting both sides by 4x

⇒ 5x-4x=4x-4x+1600

⇒ x=1600

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 1600+400 = 2,000 miles

3 0
3 years ago
2.54rounded to nearest tenth
Svetradugi [14.3K]
2.5 Is the answer. It is rounded to the nearest tenth.
6 0
3 years ago
Read 2 more answers
On a map the Browns are using 2
Alona [7]

Answer: 337.5 km

Step-by-step explanation:

Use proportion:

2:75=9:x

2x=675

x=675/2

X=337.5

6 0
3 years ago
If x = 10, y = 5, and z = 11, what is the sine ratio for g°?
salantis [7]

Answer:

\frac{10}{11}

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

sin(g^o)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(g^o)=\frac{x}{z}

sin(g^o)=\frac{10}{11}

8 0
3 years ago
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