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Artyom0805 [142]

3 years ago

15

Manuel rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile

driven. Manuel had to pay $141.11 when he returned the truck. For how many miles did he drive the truck?

1 answer:

inysia [295]3 years ago

5 0

Answer:

8

Step-by-step explanation:

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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample

pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that $A(21) = 0.5A(0)$ . We use this to find r, the percentage rate of decay per year.

$A(t) = A(0)(1-r)^t$

$0.5A(0) = A(0)(1-r)^{21}$

$(1-r)^{21} = 0.5$

$\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}$

$1 - r = 0.5^{\frac{1}{21}}$

$1 - r = 0.9675$

$r = 1 - 0.9675 = 0.0325$

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that $A(0) = 80$

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 80(1-0.0325)^t$

$A(t) = 80(0.9675)^t$

The function showing the mass of the sample remaining after t is $A(t) = 80(0.9675)^t$

8 0

3 years ago

Read 2 more answers

Thank you for the person that answers this :)

Ivenika [448]

Answer:

g(x) = - 3^x

Step-by-step explanation:

G is a reflection across the x axis of the function of f(x)

g(x) = −f(x)

g(x) = - 3^x

6 0

3 years ago

Multiply.<br><br> 132.71 × 10²

Darya [45]

10*10=100
100*132.71=13271

5 0

4 years ago

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When someone see someone getting bullied online but doesn't do or say anything to report it or help the victim,it is called ____

Romashka-Z-Leto [24]

Answer:

D

Step-by-step explanation:

4 0

3 years ago

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Iodine-131 has a half-life of 8 days. How much would be left of an original 40 g sample after 40 days?

Yuri [45]

Answer:

d) 1.25 g

Step-by-step explanation:

If it has a half life of 40 days, there will be 5 half-lives in that span of time so if you divide 40 by 2, 5 times or just $\frac{40}{2^{5} }$ , it will equal 1.25.

$\frac{40}{2}=20\\$

$\frac{20}{2} =10$

$\frac{10}{2} =5$

$\frac{5}{2} =2.5\\$

$\frac{2.5}{2} =1.25$

8 0

3 years ago