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3 years ago

15

Tina earned $300. This amount represented 40% of the money she needed to pay for her senior trip. What is the cost of the senior

trip?

1 answer:

ludmilkaskok [199]3 years ago

7 0

Answer:

she needed $480 to pay for her trip

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Brad is putting up a 14 foot diameter circular flower garden in his yard. What is the area of brads garden ?

Lapatulllka [165]

Answer:

The area is about 153.938

Step-by-step explanation:

To find the area of a circle, you have the equation

πr squared

the diameter is 14, so the radius is 7.

pi 7 squared is equal to about 153.938

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4 0

2 years ago

Find the solution of the differential equation dy/dt = ky, k a constant, that satisfies the given conditions. y(0) = 50, y(5) =

irga5000 [103]

Answer: The required solution is $y=50e^{0.1386t}.$

Step-by-step explanation:

We are given to solve the following differential equation :

$\dfrac{dy}{dt}=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.

From equation (i), we have

$\dfrac{dy}{y}=kdt.$

Integrating both sides, we get

$\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]$

Also, the conditions are

$y(0)=50\\\\\Rightarrow ae^0=50\\\\\Rightarrow a=50$

and

$y(5)=100\\\\\Rightarrow 50e^{5k}=100\\\\\Rightarrow e^{5k}=2\\\\\Rightarrow 5k=\log_e2\\\\\Rightarrow 5k=0.6931\\\\\Rightarrow k=0.1386.$

Thus, the required solution is $y=50e^{0.1386t}.$

8 0

2 years ago

Read 2 more answers

Volume of composite figures

Feliz [49]

<u>✍️</u><u>Answer:</u>

The volume of the figure is 381 cubic in

<h3>✄ ---------------</h3>

$v=L*W*H$

$v=(16)(7)(3)+1/2(3)(5)(6)$

$v=336+45$

$v=381 in^3$

✮✮✮✮✮✮✮✮✮

<u>hope it helps...</u>

<u>have a great day!!</u>

7 0

2 years ago

Nataly [62]

Answer: 395

Step-by-step explanation:

201+99+95

5 0

2 years ago

The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. if 16 fi

oee [108]

<span>The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. </span>

3 0

3 years ago