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Anna35 [415]
3 years ago
7

John inherited $5,000 from his grandfather. He put it in a savings account to buy a car when he turns 16. John is 13 right now.

If his savings account earns 7% over the next 3 years, how much will be in the account when he turns 16?
Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0

Answer:

There will be $5,350 in the account when John turns 16.

Step-by-step explanation:

As John inherited $5,000 and put it in a savings a count that offers a 7% interest over the next 3 years, we have to do the following calculation to know how much money will be in the account when he turns 16 (he is 13 right now):

5,000 x 7 / 100 = Interest rate

35,000 / 100 = Interest rate

350 = Interest rate

Interest rate + 5,000 = Total money over 3 years

350 + 5,000 = 5,350

There will be $5,350 in the account when John turns 16.

GarryVolchara [31]3 years ago
4 0
 <span>If it is 7% per year, which is customary for stating interest rates, then: 

Simple interest: 5000 + 5000 * .07 * 3 = 5000 * 1.21 = 5000 + 1050 = 6050 
Compound interest: 5000 * 1.07^3 = 5000 * 1.225 = 6125 (approx) 

If it is a total of 7% over three years (which is more realistic in today's environment), 
5000 * 1.07 = 5350.</span>
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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

   

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