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Fed [463]
3 years ago
14

In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you

have in your savings account at the end of April?

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

$286

Step-by-step explanation:

220:100=2.2

2.2 x 30 = 66

220+66=286

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Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th
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Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:    

V = \frac{4}{3}\pi r^{3}

Where:

r: is the radius = 0.4 meters

V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon              

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.      

 

I hope it helps you!

6 0
2 years ago
Find the volumes of the solids generated by revolving the triangle with vertices (2, 2)​, (2, 6)​, and (5, 6) about ​a) the​ x-a
Vesna [10]
  • About the x-axis (washer method):

\displaystyle\pi\int_2^5\left(6^2-\left(\frac43x-\frac23\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(20+x-x^2)\,\mathrm dx=\boxed{56\pi}

  • About the y-axis (shell method):

\displaystyle2\pi\int_2^5x\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5x(5-x)\,\mathrm dx=\boxed{36\pi}

  • About x=7 (shell method):

\displaystyle2\pi\int_2^5(7-x)\left(6-\left(\frac43x-\frac23\right)\right)\,\mathrm dx=\frac{8\pi}3\int_2^5(35-12x+x^2)\,\mathrm dx=\boxed{48\pi}

  • About y=2 (washer method):

\displaystyle\pi\int_2^5\left((6-2)^2-\left(\frac43x-\frac23-2\right)^2\right)\,\mathrm dx=\frac{16\pi}9\int_2^5(5+4x-x^2)\,\mathrm dx=\boxed{32\pi}

7 0
3 years ago
What is the length of JL​
podryga [215]

Answer:

show work ....... where is the work..............

3 0
2 years ago
What is the measure of the inscribed angle that shares endpoints with a central angle measuring 85°
DedPeter [7]
The answer is C! The measure of central angle is 2x the measure an inscribed angle!
5 0
3 years ago
How do you do this and show me the scratch work on how you got it.
labwork [276]

Answer:

Well I answered it

Step-by-step explanation:

So first thing you are going to do is add, so we are going to use PEMDAS

add the 5+4 and you get 9 then we're going to take that 7 and add the 9 and 7 so that gives us 16 now the 11² so that means we are doing 11 two times i think so then 11 times 2 is 22 take that 16 and subtract so 22 take away 16 is 5 now idk what to do with the (4) and (3) at the bottom i hope this helped and i think this is what you have to do if not please tell me what grade this is so i know

7 0
3 years ago
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