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3 years ago

PLEASE ANSWER ASAP!!!!!!!!! Please!!! NOTICE THAT THERE ARE TWO DIFFERENT QUESTIONS!!!!

Mathematics

1 answer:

rodikova [14]3 years ago

5 0

Ok so
surface area=area around+2(area of top)
are of top=circle=pir^2
area around=hiehg times circumference=h2pir or hpid
surfacea rea=2hpir+2pir^2
h=9
r=4
SA=2(9)(3.14)(2)+2(3.14)(2^2)
SA=36(3.14)+8(3.14)
SA=113.04+25.12
SA=138.16
tahat is 1
multiply y 1500 since you want 1500 boxes
138.16 times 1500=207240 in^2

surface area=138.16 in^2
number of square feet of cardboard=207,240 in^2

triangular prism formula=1/3(LWH)
trippleing would be
TPA=1/3(3L3W3H)
TPA=1/3(27LWH)
TPA=27(1/3(LWH))
the result is a volume that is 27 times as large as the original

if both height and base are tripled, then
area of base=1/2(bh)
new is 1/2(3b3h)
1/2(9bh)
9(1/2(bh))
9 times as lage

tripling the other height means the previous one times 3 which is 27

answers are
138.16 in^2
207,240 in^2
9
27

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Diano4ka-milaya [45]

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firstly, to represent a percentage gain (in this case 12% gain) you are to add 0.12 (12% in decimal form) to 1 to get 1.12. Keep 1.12 in mind, as it will be used for the equations.

Next, to represent a percentage loss (in this case 11%), you are to subtract 0.11 (11% in decimal form) from 1 to get 0.89. Keep 0.89 in mind, as it will be used in the equations.

Next, we need to find the total amount of money after the investments. To do this, add 21,000 and 1,715 together to get 22,715. $22,715 is the total amount of money gained in 1 year.

Now that we have all of our information, we can form our equations as such:

Let x = $ invested into the account with 12% gain and y = $ invested into the account with 11% loss

$x+y=21000\\1.12x+0.89y=22715$

Now with these system of equations, I will be using the substitution method. So firstly, with the first equation subtract x on both sides of that equation:

$y=21000-x\\1.12x+0.89y=22715$

Now that we know that y = 21000 - x, replace y for (21000 - x) in the second equation and solve for x as such:

$1.12x+0.89(21000-x)=22715\\1.12x+18690-0.89x=22715\\0.23x+18690=22715\\0.23x=4025\\x=17500$

Now that we have the value of x, substitute it into either equation to solve for y:

$17500+y=21000\\y=3500\\\\1.12(17500)+0.89y=22715\\19600+0.89y=22715\\0.89y=3115\\y=3500$

In short, $17500 was invested into the account that gained 12% and $3500 was invested into the account that had lossed 11%.

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