The value of a car depreciates by 18% per year. Work out the current value of a car bought 4 years ago for £20000

Answers

Answer 1

Answer: Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.

The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.

yr Beginning Value Dep. Rate Depreciation Ending Value
1   20,000.00   18% 3,600.00 16,400.00
2   16,400.00   18%      2,952.00    13,448.00
3   13,448.00   18% 2,420.64 11,027.36
4   11,027.36   18% 1,984.92 9,042.44

The current value of a car bought 4 years ago is 9,042.44

Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation

Answer 2

Answer: 20000 = 100%18 x 4 = 72%20000 / 100 = 200200 = 1%200 x 72 = 14,40020000 - 14,400 = 5600The value of it now should be £5600

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Help me with the two last questions

Answers

Answer:

first problem: 1,2,4

second problem: D

Step-by-step explanation:

Simplify this expression: 13 + (–12) – (–5) = ?
A. 6
B. –6
C. –30
D. 30

Answers

13 + (-12) - (-5)

13 - 12 + 5

1 + 5

= 6.

Answer is A)

13+(-12) is the same as 13-12 which is 1

1-(-5)

two negatives make a positive so this really means
1+5 which equals 6
=A.

Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper? A. 38x − 1,450 > 76 B. 38(x + 1,450) > 4,000 C. 38x > 4,000 D. 38x + 1,450 > 4,000

Answers

Answer:

D. 38x + 1,450 > 4,000

Step-by-step explanation:

It has to be greater than 4,000 so A makes no sense

The parentheses are in the wrong place completely changing the meaning for B

C disregards the info we have about how she's already typed 1,450 words

The answer has to be D

Step-by-step explanation:

Distances in space are measured in light-years. The distance from Earth to a star is 4.1 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?0.23 light-year
2.36 light-years
4.33 light-years
5.36 light-years

Answers

Answer:

The distance, in light-years, from Earth to the star is 4.33 light- years.

Step-by-step explanation:

As given

Distances in space are measured in light-years.

$The\ distance\ from\ Earth\ to\ a\ star\ is\ 4.1* 10^(13)\kilometers.$

$1 light-year = 9.46* 10^(12)\ kilometers$

$1\ kilometer = (1)/(9.46* 10^(12)) \ light\ years$

Thus

$4.1* 10^(13)\ kilometer = (4.1* 10^(13))/(9.46* 10^(12)) \ light\ years$

by using the exponent property .

$(x^(a))/(x^(b)) = x^(a-b)$

$4.1* 10^(13)\ kilometer =0.433* 10^(13-12) \ light\ years$

$4.1* 10^(13)\ kilometer =0.433* 10^(1) \ light\ years$

$4.1* 10^(13)\ kilometer =(433)/(1000) * 10^(1) \ light\ years$

$4.1* 10^(13)\ kilometer =(433)/(100)\ light\ years$

$4.1* 10^(13)\ kilometer = 4.33\ light\ years$

Therefore the distance, in light-years, from Earth to the star is 4.33 light- years.

How many 'light years distance' can fit in the distance from earth to the star

So we have to divide:

4.1 x 10^13 / 9.46 x 10^12 = 4.33

A women-only gym has 60% of its members married. 75% of the married women exercise in the morning and 30% of the single women exercise in the morning. Are being married and exercising in the morning independent?A) Yes. P(married | exercise in the morning) = P(exercise in the morning | married) = 75%
B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45%
C) No. P(married and exercise in the morning) = 60% & P(married)·P(exercise in the morning) = 42%
D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Answers

Given:
Women only gym:
60% married women
75% of the married women exercise in the morning
30% of the single women exercise in the morning

60% married women + 40% single women = total women members

60% married
75% exercise in the morning
25% exercise in the afternoon or evening

40% single
30% exercise in the morning
70% exercise in the afternoon or evening

Exercise in the morning
married: 60% x 75% = 45%
single: 40% x 30% = 12%

B) Yes. P(married and exercise in the morning) = P(married)·P(exercise in the morning) = 45%

Answer:

D) No. P(married and exercise in the morning) = 45% & P(married)·P(exercise in the morning) = 34.2%

Step-by-step explanation:

How is the divisibility rule for 7 more complicated then the rules for 2,3,5 and 10?

Answers

Divisibility rule of 2: All even numbers are divisible by 2 means no remainder will be left. For example- 4,6,10,18,26 etc

Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3. For example- 15,54,213,699 etc

Divisibility rule of 5: A number is divisible by 5 if the number's last digit is either 0 or 5. For example- 40,85,255,3600,6510 etc

Divisibility rule of 10: The last digit must be zero. For example-100,450,2500,3010,5860 etc

Divisibility rule of 7: To know if a given number is divisible by 7, we will take the last digit of the number and double it. Then we will subtract the result from the rest of the number. If the resulting number is evenly divisible by 7, then the original number is also divisible by 7. For example: 2555, 5509,203, 287 etc

Lets check for 2555. double the last digit. 5 is doubled to 10. Then subtract 10 from 255 this gives 245. 245 is divisible by 7, so 2555 is divisible by 7.

this is the reason, divisibility rule of 7 is complicated as compared to other given number.

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