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3 years ago

The cost of renting a boat for different

Mathematics

1 answer:

DIA [1.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Sam deposits the same amount of money,every week,for 71 weeks in his checking account.At the end of 71 weeks,he has $6,015 in th

rosijanka [135]

What is the rest of the problem? I can help you!

3 0

3 years ago

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

3 years ago

What is the outlier of the data set 7, 15, 15, 15, 13, 7, 9, 11, 24

eduard

Answer:

Step-by-step explanation:

The outlier is the value that is far from the other values in the set

24 is far from the other values

7 0

3 years ago

What does 40 centimeters equals in meters

Sphinxa [80]

Answer:

Its 0.4 meters!

Step-by-step explanation:

7 0

3 years ago

4x^2+32x+8 is a perfect square trinomial true or false

fgiga [73]

Answer:

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.

Step-by-step explanation:

A trinomial is an expression composed of three terms that are joined together by addition or subtraction.

A perfect square is created when a value is multiplied times itself. Thus, $(a + b)(a + b) = a^2 + 2ab + b^2$ , making the trinomial a² + 2ab + b² a perfect square.

To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.

The trinomial $4x^2+32x+8$ is not a perfect square trinomial because the third term is not a square.

4 0

3 years ago