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salantis [7]
3 years ago
15

What is num 2?? I need this done by tonight!

Mathematics
1 answer:
timama [110]3 years ago
3 0
Maybe absolute value
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Find the volume of each figure to the nearest tenth. show your work
DIA [1.3K]

Answer:

Step-by-step explanation:

first, you need to know the formulas for volumes for a sphere, cone, and cube.

sphere volume is defined: V=4/3πr^3

cone volume is defined: V=πr^2(h /3)

cuboid volume is defined: V=lwh

Then just plug in:

sphere volume=4/3π6^3=904.78

cone volume=π5^2(13 /3)=340.34

cuboid volume=11*6*5=330

6 0
3 years ago
the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . wri
Y_Kistochka [10]

The pattern in the given series of amount in the account are in the form of

arithmetic and geometric progression.

  • The function for Option 1 is;  \underline{ f(n) = 1,100 + (n - 1) \cdot 100}
  • The function for Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Reasons:

The given table of values is presented as follows;

\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right]

In Option 1, the amount in dollars for each year has a common difference of d = 100

The first term, a = 1,100

Therefore;

The Option 1 can be represented as an arithmetic progression , A.P. in the

form, tₙ = a + (n - 1)·d as follows;

For the Option 1, we have;

  • The amount in dollars after <em>n</em> years, \underline{ f(n) = 1,100 + (n - 1) \cdot 100}

For Option 2, it is possible to find;

1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1

Therefore;

The terms in the Option 2 have a common ratio of r = 1.1

The Option 2 is a geometric progression, G.P.

The first term in Option 2 is a = 1,100

Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾

Therefor;

  • The function for the Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Learn more about arithmetic and geometric progression here:

brainly.com/question/8932895

brainly.com/question/22977503

4 0
2 years ago
What is the solution to the following system of equations 2x+3y=3 and -3x-2y=8
SpyIntel [72]
<span>2x+3y=3
</span><span>-3x-2y=8

3y=3-2x
-2y = 8+3x

y = 1 - 2x/3
y = -4 - 3x/2

</span>1 - 2x/3 =  -4 - 3x/2

5 = - 3x/2 + 2x/3

5 = -9x/6 + 4x/6

5 = -5x/6

x = 5 * 6/-5

x = -6

No plug it in.

<span>2x+3y=3 ; x = -6

-12 + 3y = 3

3y=3+12

3y=15

y = 5

So </span>x = -6 and y = 5
3 0
3 years ago
You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%
xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20

The present value of your winnings is $102,677.20.

8 0
3 years ago
A rancher with 420420 meters of fence intends to enclose a rectangular region along a river​ (which serves as a natural boundary
Kobotan [32]
Perimeter of Rectangle: 2W + 2L
One L is the river so we have 3 sides
420m/3 = 140m

Area of Rectangle is WL
140×140= 19,600 Sq meters

I'm assuming you may have another mathematical system the teacher wants you to use. Yet, I get Area is 19,600 Sq meters
4 0
3 years ago
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