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NNADVOKAT [17]
3 years ago
14

The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) = A(0.999879)t where t is time

in years. If tests on a fossilized skull reveal that 99.89% of the carbon 14 has decayed, how old, to the nearest 1,000 years, is the skull?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
8 0

the answer would be 63000 i hope this helps

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Mr. Akika has 30 24-cent and 33-cent stamps all told. The stamps are worth $8.91. How many of each kind of stamp does he have?
riadik2000 [5.3K]

Answer:

  • 24-cent: 11
  • 33-cent: 19

Step-by-step explanation:

I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...

  33x +24(30 -x) = 891

  9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms

  x = 19 . . . . . . . . . . . . divide by 9

  30-x = 11 . . . . . . . find the number of 24-cent stamps

Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.

_____

<em>Additional comment</em>

You seem to have several of these to solve. They all have a similar solution.

If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...

  v2(x) +v1(N -x) = V

  x(v2 -v1) = V -v1·N

  x = (V -v1·N)/(v2 -v1) . . . . generic solution

Using this formula in the problem here, we find ...

  x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above

7 0
2 years ago
The school want to purchase enough tarp material to cover their field during bad weather. They want to get exactly eleven percen
KonstantinChe [14]

Answer:

6660 yards^2

Step-by-step explanation:

Assumption: the field is 120 yards long and 50 yards wide.

First calculate the area of the field: 120*50 = 6000 yards^2

Then, calculate the 11% of that area:  6000 yards^2*11/100 = 660 yards^2

Finally, the area of the tarp material should be 6000 yards^2 + 660 yards^2 = 6660 yards^2

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