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sattari [20]
3 years ago
10

Calcium-41 is being used in studies testing the effectiveness of drugs for preventing osteoporosis. The half-life of calcium-41

is 100,000 years. If 20 grams of calcium-41 are present initially, how long would it take until only 2 grams
remains?​
Mathematics
1 answer:
Leviafan [203]3 years ago
7 0

Answer:

332,193 years

Step-by-step explanation:

From the question above, we are to calculate the time in an half life question, hence, the formula is given as

t = In(Nt/No) ÷ -(In2/t½)

Where

t = time is takes for an substance to decay or reduce

Nt = Amount of sample after time = 2g

No = Initial amount of sample = 20g

t½ = Half life = 100,000 years

Hence,

t = In(2/20) ÷ (In 2/ 100,000)

t = 332192.80948874 years

Approximately = 332,193 years

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the table below shows the function of f determine the value of f(3) that will lead to an average rate of change of 19 over the i
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f(3) =  - 25

EXPLANATION

We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].

The average rate of change of f(x) over the interval [a,b]:

=  \frac{f(b) - f(a)}{b - a}

If the average rate of change over the interval [3, 5] is 19, then;

\frac{f(5) - f(3)}{5 - 3}  = 19

From the to table f(5)=13

\frac{13 - f(3)}{2}  = 19

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7 0
3 years ago
An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invest
alexira [117]

Answer:

A) $8200.

B) 16.4%

Step-by-step explanation:

Here is the complete question: An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invested $10,000 in company B and made a profit of 22%.

A) What is the investment firms total profit?

B) What is the percent profit of the total investment?

Given: Company A invested $40000 and made profit of 15%

           Company B invested $10000 and made profit of 22%

A) First lets find the profit of company A and B.

Company A= \frac{15}{100} \times \$ 40000= \$ 6000.

∴ Profit of company A is $6000.

Company B= \frac{22}{100} \times \$ 10000= \$ 2200

∴ Profit of company B is $2200.

Total profit= profit of company A+ profit of company B

⇒Total\ profit= \$ 6000+\$ 2200

∴ Total Profit= \$ 8200

Hence, the total profit of investment firm is $8200.

B) Now finding the percentage of total profit made by firm.

Total investment by the firm= \$ 40000+\$ 10000= \$ 50000

∴ Total investment done by the firm is $50000.

Percent of profit= \frac{Total\ profit}{Total\ investment} \times 100

⇒ Percent of profit= \frac{8200}{50000} \times 100

⇒ Percent of profit= \frac{82}{5} = 16.4\%

Hence, 16.4% is the percent profit of the total investment.

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