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Ivahew [28]
3 years ago
9

You are saving for a spring break cruise for the end of march of the next year thag costs $600. You start at $50 in August. At t

he beginning of the of each month you plan to deposit 20% more than the previous month. Will you have enough money for your tip? If not how much more do you need?
Mathematics
1 answer:
Doss [256]3 years ago
7 0
March is 8 months away from August and the target amount is $600.
August = $50
September = $50 + (0.2*50)=$60
October = $60 + (0.2*60)=$72
November=$72+(0.2*72)=$86.4
December=$86.4 + (0.2*$86.4)=$103.68
January=$103.68+(0.2*103.68)= $124.416
February=$124.416+(0.2*124.416)=$149.3
March=$149.3 +(0.2*149.4)=$179.2

Total amount = $824.6

Yes, she will have money for the trip
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5 0
3 years ago
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Solve equation (n-1)(n+6)(n+5)=0
Vika [28.1K]
Answer:
1, -6 and -5 

Explanation:
To solve the equation means to get the values of n which satisfy the given equation.
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5 0
3 years ago
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Write an equation of the line that passes through (0 0) and (2 6)
fiasKO [112]

Answer:

y = 3x

Step-by-step explanation:

Slope equation:

y2 - y1

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x2 - x1

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         6 - 0          6

m = ----------- =   ----- = 3

         2 - 0           2

Your slope is 3.

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Equation:

y = mx + b

Plug in the slope and you get:

y = 3x + b

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Now to find b, you can use either coordinate point. So I will show you both ways :)

<u>(0,0)</u>                                                                     <u>(2,6)</u>

0 = 3(0) + b                                                     6 = 3(2) + b

Multiply 0 and 3                                           Multiply 2 and 3

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Subtract 0 to 0                                            Subtract 6 from 6

0 = b                                                                    0 = b

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8 0
3 years ago
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet a
Brrunno [24]

Answer:

Step-by-step explanation:

The student needs to check all algebraic and mathmatical calculations for errors and typos.  I'm old and have been prone to making mistakes.

Cylinder A DIAMETER 12 ft and Height 13 ft

Cylinder B DIAMETER 10 ft and Height 16 ft

After pumping How much water remains in cylinder A

Volume of a cylinder  =  π(radius)²h is the normal form since they provided the diameter I will use     Volume of a cylinder  =  π(diameter/2)²h

Water remaining in A = Volume of A  - Volume of B   =  

VolA  - VolB  =  π(D for A/2)²H of A  -   π(D for B/2)²H of B

             writing if a little more condensed

VolA  - VolB  =  π(D for A/2)²H of A  -   π(D for B/2)²H of B

    Va - Vb    =   π(Da/2)²Ha  -   π(Db/2)²Hb

                     =  π [(Da²/2²)Ha - (Db²/2²)Hb]      factored out the π

                     =  π/4 [ Da²Ha  - Db²Hb]              factored out the (1/2)²

             I can't think of any other algebraic steps

Va - Vb = Water Remaining in Container A  =  π/4 [ Da²Ha  - Db²Hb]            

            =  π/4 [ (12²)(13)  - (10²)(16)]

            =  π/4 [ (144)(13)  - (100)(16)]

            =  π/4 [ 1872 - 1600 ]

            =  π/4 [272]

            =  π [ 272/4 ]  

            =  π [ 136 / 2]

            =  π [ 68 ]

            =  π (68)

            =  213.6  ft³             rounded to the nearest tenth

I checking my answer by using  V = πr²h         r = d/2

           Va - Vb = π [ra²ha - rb²hb]

                         = π [6²(13)  - 5²(16)]

                         = π [(36)(13) - (25)(16)]

                         = π [ 468 - 400]

                         = 68 π

                         = 213.6 ft³         I got the same answer

       

            =  π

test

   

8 0
3 years ago
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