how many subsset can be obtained from the set A={ m, a ,t ,h}​

Answer:

The amount the car will be worth after 6 years is £21,917 and 22 pence

Step-by-step explanation:

The amount for which Colin buys the car, PV = £28,100

The amount by which the car depreciates each year, r = 4%

The number of years after which the value of the car is sought, n = 6 years

The future value, FV, based on an annual depreciation is given as follows;

[tex]FV = PV \times \left ( 1 + \dfrac{r}{100} \right ) ^n[/tex]

Substituting the known values gives;

[tex]FV_6 = 28,000 \times \left ( 1 - \dfrac{4}{100} \right ) ^6 = 21,917.22[/tex]

Therefore, the amount the car will be worth after 6 years, future value FV₆ = £21,917 and 22 pence

Answer:

House coordinate = (5, 1)

Library coordinate = (10, 13)

Step-by-step explanation:

Given :

House coordinate = (5, 1)

Library coordinate = (10, 13)

Distance between house snd library :

Distance = sqrt[(x2 - x1)² + (y2 - y1)]

x1 = 5, x2 = 10, y1 = 1, y2 = 13

Distance = sqrt[(10 - 5)² + (13 - 1)²]

Distance = sqrt[(5² + 12²)]

Distance = sqrt(25 +144)

Distance = sqrt(169)

Distance = 13

Answer:

1232 m^3 to nearest whole number.

Step-by-step explanation:

The volume of a cone = 1/3 π r^2 h     where r = radius of base and h = height.

The radius of the base = 1/2 * 14 = 7m.

The height can be found by using the Pythagoras theorem:

25^2 = h^2 + 7^2

h^2 = 625 - 49 = 576

h = √576 =  24m

So the volume = 1/3 π *  7^2 * 24

=  1231.504 m^3.

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Answer:

Step-by-step explanation:

y=-1 ans.

x=2*-1=3

x=-2+3

x=1 ans.

Proof:

4*1-5*-1=9

4+5=9

9=9

Answer:

9

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Answer:

68

Step-by-step explanation:

F = 1.8(20)+32 = 68

Answer:

h = 1/5

Step-by-step explanation:

The formula to find the volume of this prism is b × w × h (base × width × height). Since you are given the volume, you can divide the volume by the other two dimensions to find the height.

V = b × w × h

1/100 = 1/4 × 1/5 × h

1/100 ÷ 1/4 ÷ 1/5 = h

h = 1/5

I'm just going to take a chance and say 1.A, and 2.D.

Answer:

4 5/6 feet.

Step-by-step explanation:

The least common multiple for 2 and 3 is 6, so if we change the denominators to 6, we get Chrystelle's height as 3 3/6, and her mother is 1 4/6 ft taller than her.

3 3/6 + 1 4/6= ?

(Written as an Improper fraction)

21/6 + 10/6 = 31/6

31/6 = 4 5/6.

I hope this helps!

Answer:

first make it so the denominator is the same on bothers sides. a common denominator for both is 6 so

Chrystelle mom: 1 2/3 taller. multiply the fraction by 2/2 so 1 4/6

chrystelle: 3 1/2 feet tall. multiply the fraction by 3/3 so 3 3/6

now just add to figure out so

3 3/6 + 1 4/6 = 4 7/6 which simplifies down to 5 1/6

so chrystelles mom is 5 1/6 feet tall

Answer:

The coordinate is (0,1) .

Step-by-step explanation:

A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;

Put x = 0 :-

⇒ y - 4x = 1

⇒ y - 4*0 = 1

⇒ y - 0 = 1 .

⇒ y = 1 .

Answer:

to blurry

..............

Answer: its D

Step-by-step explanation:

Answer:

they are equivalent to 4

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

lets change it to a different question

does [tex]\frac{20}{14}=\frac{80}{56}[/tex]

Answer:

The slope is 2/1(rise over run)

So,2/1 is 2

Answer is 2

The correct answer is 0.86

Answer:

28.0

Step-by-step explanation:

if rounding to the nearest tenth then the number in the hundredth determines what to do - if the number in hundredths is '5 and above, give it a shove'

meaning in this case the 7 bumps the 9 up by one; but a nine will carry over and bump the number in the ones place up by one

Answer:

28

Step-by-step explanation:

Hi there!

This decimal is a tricky one.

we know we’re rounding to the nearest tenth, so the hundredths place will come in handy.

Since there is a 7 in the hundredths place, we know we’re going to round up, but we have a 9 in the tenths place, so it would become a ‘10’, which is just going into the next whole number, which is 28.

I hope this helped!

Answer:

200

Step-by-step explanation:

Formula to find the area: πr²

First, find the radius: 16 ÷ 2 = 8

The radius is 8. So...

= 3.14 (8²)

= 3.14 × 64

= 200.96

Rounded to the nearest hundredth: 200

Answer:

200.96

Step-by-step explanation:

A=3.14r^2(formula for area of a circle)

r=16/2=8

r=8

A=3.14*8^2=200.96

Answer:

$9800

Step-by-step explanation:

Given that:

Annual salary = $50,000

Average monthly expenses = $3350

Average amount spent per annum:

Number of months in a year = 12

12 * $3350 = $40,200

Since, all amount not used as expenses is saved :

Total amount saved = $50,000 - $40,200

Total amount saved = $9800

Answer:

$9,800, just took the test

Step-by-step explanation:

took the test

Answer: table 1.

Step-by-step explanation: This is because the x-axis is going up by 2 and the y-axis is also going up by 2. There is a pattern and when you would graph it, it will be linear as it goes up by the same amount

Answer:

t>-2

Step-by-step explanation:

So Act like this is an equation and add -3 to both sides:

t>-2

Thats your answer!

The correct choice should be #1