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GrogVix [38]
2 years ago
11

the surface areas of two similar solids are 1008cm^2 and 1372ccm^2. the volume of the larger solid is 1801cm^3 find the volume o

f the smaller solid round your answer to the nearest hundredth
Mathematics
1 answer:
adoni [48]2 years ago
4 0
This can be treated as a proportion problem.

Larger solid: 
Surface area = 1,372 cm²
Volume = 1,801 cm³

Smaller solid:
Surface area = 1,008cm²
Volume = ?

1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18

The volume of the smaller solid is 1,323.18 cm³
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Amanda Vehicle has hired Jared Frost as its new president. Terms included the company’s agreeing to pay retirement benefits of $
vampirchik [111]
The amount needed in the account when Frost retires is given by the annuity formula. Compounding is 2 times per year.
.. A = Pi/(n(1 -(1 +r/n)^(-nt)))
.. 17900 = P*.08/(2*(1 -(1 +.08/2)^(-2*12)))
.. 17900 = P*.04/(1 -(1.04^-24))
.. P ≈ 272,920.64

The compound interest formula can be used to find the present value required. 4015 days is 11 years (ignoring leap years), so the amount to deposit can be calculated from
.. A = P*(1 +r/n)^(nt)
.. 272,920.64 = P*(1 +.08/2)^(2*11) = P*1.04^22
.. P ≈ 115,160.33

We don't know about the company's obligation to Robert. To fulfill its obligation to Frost, it must deposit 115,160.33 today.
8 0
3 years ago
Your cell phone plan allows you 400 minutes per month so far this month you have used 265 minutes and you have 7 days left write
kati45 [8]
7x + 265 ≤ 400
Hope this helps!
5 0
3 years ago
Write in y=mx+b form
DENIUS [597]

Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

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7 0
3 years ago
How much of a 60% acid solution must be mixed with 50 gallons of a 24% acid solution to obtain a solution that is 50% acid?
tiny-mole [99]
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution) 
in simple terms:    %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x)            simplify/ distribute
0.6x + 12 = 25 +0.5x                  get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13    divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
8 0
3 years ago
Read 2 more answers
Help<br> Find the lateral area of this cone.<br> Round to the nearest tenth.
nata0808 [166]

Answer:

233.5 in²

Step-by-step explanation:

First we have to find the slant height.

5²+14²=c²

25+196=c²

221=c²

c=14.866

Now we can find the lateral area.

\pirl

\pi(5)(14.866)

=233.51566

To the nearest tenth=

233.5 in²

3 0
3 years ago
Read 2 more answers
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