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Ronch [10]
3 years ago
10

Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever

y month. The second option is to put $100 away initially and save $30 every month. After how many months would Tina save the same amount using either options? How much would she save with either option?
Mathematics
1 answer:
Mamont248 [21]3 years ago
7 0

Answer: In five months,she will save the same money which is $250.

Step-by-step explanation:

Using the first statement we can generate the function y=10x + 200  and using the second statement we can also generate the function y = 30x + 100 . Now using the two equations solve for x and y to determine how many months they cost the same.

y = 10x + 200

y = 30x + 100  

Substitute the value of x in the first equation into the second equation.

30x + 100= 10x + 200   now solve for x

         -100            -100

30x = 10x + 100

-10x    -10x

20x = 100

x= 5  

This means in five months Tina will save the same amount. Now to find out how much the amount is, plot the value of x into one of the equations and solve for  y.

y = 10(5) + 200

y = 50 + 200

y = 250  

She will save $250 with either option.

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Help, I’m stuck. Thank you very much
ZanzabumX [31]
If you notice, the container is really just two circles, with a diameter of 4 each, and a square with sides of 10.5.

now, if we just get the area of each circle, keeping in mind their radius is half of the diameter, namely r = 2, and get the area of the 10.5x10.5 square, sum them up, that'd be the surface area of the container.

\bf \stackrel{\textit{2 circle's area}}{2(\pi r^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}
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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
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</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
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Its base perimeter would be 12.
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d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

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3 years ago
Can someone help me ?
prisoha [69]
I’m pretty sure there are infinite solutions as the system of equations are equivalent to each other.
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