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galben [10]
3 years ago
8

A laptop computer is purchased for 3100. Each year, its value is 75% of its value the year before. After how many years will the

laptop computer be worth $600 or less
Mathematics
2 answers:
Dmitriy789 [7]3 years ago
8 0

Answer:

6 years

Step-by-step explanation:

Y = IA (r)^t

600 = 3100 (.75)^t

then just solve for T i recommend using guess and check, but thats me

and youll get 6 years.

Stella [2.4K]3 years ago
6 0

Answer:7 to 9? Years

Step-by-step explanation: I’m not sure but if you got a couple trys try to do it.

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How can i prove this property to be true for all values of n, using mathematical induction.
chubhunter [2.5K]

Proof -

So, in the first part we'll verify by taking n = 1.

\implies \: 1  =  {1}^{2}  =  \frac{1(1 + 1)(2 + 1)}{6}

\implies{ \frac{1(2)(3)}{6} }

\implies{ 1}

Therefore, it is true for the first part.

In the second part we will assume that,

\: {  {1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  =  \frac{k(k + 1)(2k + 1)}{6}  }

and we will prove that,

\sf{ \: { {1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} =  \frac{(k + 1)(k + 1 + 1) \{2(k + 1) + 1\}}{6}}}

\: {{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2}  =  \frac{(k + 1)(k + 2) (2k + 3)}{6}}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{k (k + 1) (2k + 1) }{6} +  \frac{(k + 1) ^{2} }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{k(k+1)(2k+1)+6(k+1)^ 2 }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)\{k(2k+1)+6(k+1)\} }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(2k^2 +k+6k+6) }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(2k^2+7k+6) }{6}

{1}^{2} +  {2}^{2}  +  {3}^{2}  + ..... +  {k}^{2}  + (k + 1)^{2} = \frac{(k+1)(k+2)(2k+3) }{6}

<u>Henceforth, by </u><u>using </u><u>the </u><u>principle </u><u>of </u><u> mathematical induction 1²+2² +3²+....+n² = n(n+1)(2n+1)/ 6 for all positive integers n</u>.

_______________________________

<em>Please scroll left - right to view the full solution.</em>

8 0
1 year ago
A bakery sold a total of 400 cupcakes in a day, and 144 of them were vanilla flavored. What percentage of cupcakes sold that day
Lina20 [59]

Answer:

i think it should be 36%

Step-by-step explanation:

4 0
2 years ago
Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57
vovikov84 [41]

Answer:

Lindsey owns  12 books

Step-by-step explanation:

1/3x:Lindsay

x:Destiny

1/4x: Henry

1/3x+1/4x+x=57

4/12x+3/12x+x=57

7/12x+x=57

19/12x=57

x=57*12/19

x=36

1/3x=36/3

1/3x=12

PLZ MARK ME BRAINLIEST

7 0
2 years ago
Read 2 more answers
An ice cream shop uses 6 bananas to make 4 identical sundaes. How many bananas are used used each sundaes?
Marina86 [1]

Answer:

1.5 bananas to make each sundaes

Step-by-step explanation:

6 divided by 4

7 0
2 years ago
List the factors of 30.
spin [16.1K]

Answer: Many numbers get ready to write

Step-by-step explanation:

1,30,2,15,3,10,5,6

That is about it I think

3 0
3 years ago
Read 2 more answers
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