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3 years ago

82% of youth use internet at home whatfraction uses somewhere else

Mathematics

1 answer:

Shkiper50 [21]3 years ago

6 0

18% use the Internet somewhere else. Hope that helps

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117. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.

Sergio [31]

Answer:

The explicit function is:

$S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )$

where

$z=(1+\frac{0.02}{12})$

and we calculate S12:

$S_{12} = $1211.06$

Step-by-step explanation:

Expanding a few steps of the compound interest:

$S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100$

We can write:

$(1+\frac{0.02}{12})=z$

$100=C$ for deposits

Then, expanding the previous equations would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

This is a geometric series form, which can be simplified to:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613$

6 0

3 years ago

Your family takes a road trip to Berlin for the weekend. You've driven 120 miles so far, but need to travel 400 miles

BabaBlast [244]

Answer:

280 more miles.

Step-by-step explanation:

The question stem "how many more" usually means your going to need to subtract somewhere in this problem.

If your destination is 400 miles away, and you have already driven 120 miles, all we need to do it subtract 120 from 400.

$400 - 120 = 280$

5 0

4 years ago

Read 2 more answers

A bottom of a 6 foot deep circular pool has an area of 452.4 ft. If the pool is only

inna [77]

Answer:

450.4

Step-by-step explanation:

6 0

3 years ago

There are 3 blue marbles, 4 red marbles, and 5 yellow marbles in a bag. Julie pulls one marble out at a time and does not replac

Alekssandra [29.7K]

Answer:

1/22

Step-by-step explanation:

P (blue, blue) = 3 x 2 = 6 or 1/22 simplified

12 11 132

7 0

3 years ago

Find the possible value or values of n in the quadratic equation 2n2 – 7n + 6 = 0

qaws [65]

2n^2-7n+6=0

2n^2-4n-3n+6=0

2n(n-2)-3(n-2)=0

(2n-3)(n-2)=0

n=3/2, n=2

4 0

3 years ago

Read 2 more answers