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Ivan
3 years ago
6

I need help!!!! Please lol

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0
I hope this helps you

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The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?
adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

3 0
2 years ago
Enrique is measuring the mass of a flower petal. Which unit of measurement should he use to eliminate the need to write the valu
GuDViN [60]

Answer:

do you have a pic of it.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Mick paid $2.94 in sales tax of an item that cost $42.00 before tax. At that rate, how much would he pay in sales tax for an ite
BabaBlast [244]
$4.06
2.94/42=7/100
4.06/58=7/100
7 0
2 years ago
D is the midpoint of line segment GH. GH = 3x - 1 and DH = 16. Find x.​
docker41 [41]

Answer:

3x-1=16*2

3x=32+1

3x=33/:3

x=11

Step-by-step explanation:

3 0
3 years ago
Can someone help please
Ira Lisetskai [31]
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
5 0
3 years ago
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