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Hunter-Best [27]
3 years ago
15

This is confusing me ​

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

take better picture please

Step-by-step explanation:

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day
-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

A(t) = A(0)e^{-kt}

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

A(t) = A(0)e^{-0.1392t}

Find the substance's half life, in days.

This is t for which A(t) = 0.5A(0). So

A(t) = A(0)e^{-0.1392t}

0.5A(0) = A(0)e^{-0.1392t}

e^{-0.1392t} = 0.5

\ln{e^{-0.1392t}} = \ln{0.5}

-0.1392t = \ln{0.5}

t = -\frac{\ln{0.5}}{0.1392}

t = 4.98

The substance half-life is of 4.98 days.

5 0
3 years ago
Solve for . Simplify your answer as much as possible. please help
Sonja [21]

Answer:

x=-6

Step-by-step explanation:

So we have the equation:

-34=7(x+8)+8x

First, distribute the 7 into the (x+8) and simplify:

-34=7(x)+7(8)+8x\\-34=7x+56+8x

Combine the like terms 7x and 8x by adding them together:

-34=56+15x

Subtract 56 from both sides to isolate the x:

-34-56=15x+56-56\\15x=-90

Divide both sides by 15 to get x:

x=-90/15=-6

5 0
3 years ago
(05.03 LC) What is the initial value of the function represented by this graph? (1 point) ​
Liula [17]

Answer:

0

Step-by-step explanation:

8 0
2 years ago
you deposit $1500 in an account that pays 5% annual interest compounded continuously what is the balance after 6 years.
Gemiola [76]
Hello kiddio lets figure this out!

The formula for simple interest is I = P*R*T where I = interest, P = Principal (original amount), R is the rate as a decimal, and T is time in years.  So I = 1500*(.05)*6 = 1500*(0.30) = $450.  The total amount you have after 6 years is the amount you started with ($1500) plus the interest ($450) which is $1950.   The formula for yearly compounding is  A = P(1 + r)t   where   A = Accumulated or final amount  P = Principal ($1500) r = interest rate as a decimal (0.05)t = time (6 years)   A = 1500*(1 + 0.05)6 = 1500*(1.05)6 = $2010.14  

Have a nice day
3 0
3 years ago
Solve this I will give 49 points lol
LuckyWell [14K]

The answer to this question is 87

4 0
3 years ago
Read 2 more answers
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