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antoniya [11.8K]
3 years ago
10

A car depreciated by 25% during the first year. If the car was purchased for 28,000 what is the car worth today? Show your work.

Mathematics
1 answer:
zaharov [31]3 years ago
4 0

Depreciation is a reduction in value of an asset. Therefore, a 25 percent depreciation would mean a reduction of ¼ on the initial worth of the car.

Reduction = 28,000 * (1/4) = 7,000

Car worth today = 28,000 – 7,000 = 21,000

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An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by
katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

<u>For bulb </u><u>box</u><u> </u><u>the </u><u>d</u><u>imensions</u><u> </u><u>are:</u>

  • l = 5 cm, w = 4 cm, h = 4 cm

  • V_{Bulb\: box} =lwh

  • \implies V_{Bulb\: box} =5(4)(4)

  • \implies V_{Bulb\: box} =80\: cm^3

<u>For </u><u>Carton </u><u>the dimensions are</u><u>:</u>

  • l = 50 cm, w = 20 cm, h = 20 cm

  • V_{Carton} =lwh

  • \implies V_{Carton} =50(20)(20)

  • \implies V_{Bulb\: box} =20,000\: cm^3

To find the number of bulbs packed in the carton, divide the V_{Carton} by V_{Bulb\: box}

  • Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}

  • \implies Number \:of \:bulbs =\frac{20,000}{80}

  • \implies Number \:of \:bulbs = 250

So, 250 bulbs will be packed in one carton.

3 0
2 years ago
Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
Find the ratio of the area of the first figure to the area of the second.
geniusboy [140]
I think the answer would be 36:16 because if you do the area of the first figure (6x6) it equals 36 and the second figure (4x4) it equals 16
4 0
2 years ago
Daniela has the same amount of money automatically deposited into a new savings account each week. After 3 weeks, she has $18. A
Burka [1]

Answer:

$6 per week  (ratio 6/1)

Step-by-step explanation:

18/3=6

30/5=6

8 0
2 years ago
Write the equation of the line with the slope of -6 passing through the point ( − 8 , 0 ).
UkoKoshka [18]

Answer:

y=-6x+48

Step-by-step explanation:

3 0
3 years ago
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