All categories

2 years ago

~Please only answer if you know for sure~

Mathematics

2 answers:

shtirl [24]2 years ago

8 0

Answer:

Option A. 20%

Step-by-step explanation:

Since the cost price of the car when it was new = $20000

After one year car value $16000.

We have to calculate the depreciation in the price or my car.

So decease in the car's value = 20000-16000 = $4000

Since cost price of the car was = $20000

therefore % decrease decrease in the price will be = (decrease in price/cost price)×100 = (4000/20000)×100 = 20%

Evgesh-ka [11]2 years ago

7 0

20%.

20,000 times 0.8 is 16,000, so the decreased value that was lost was 20% of the original price.

You might be interested in

Y=Mx+b and to find the slope

Grace [21]

M is the slope of the equation.

Hope this helps!

5 0

2 years ago

What is the smallest solution to the equation 2/3 x^2=24

True [87]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2=24

Multiply by 3/2 on each side

3/2 *2/3 x^2=24 *3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = ±sqrt(36)

x = ±6

x = -6, 6

The smallest solution is -6

7 0

3 years ago

Using the binomial theorem , obtain the expansion of :

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1 6 15 20 15 6 1

Decreasing powers of 1 from $1^{6}$ to $1^{0}$

Increasing powers of 3x from $(3x)^{0}$ to $(3x)^{6}$

$1+3x)^{6}$

= 1. $1^{6}$ $(3x)^{0}$ + 6. $1^{5}$ $(3x)^{1}$ + 15. $1^{4}$ $(3x)^{2}$ + 20. $1^{3}$ $(3x)^{3}$ + 15.1² $(3x)^{4}$ + 6. $1^{1}$ $(3x)^{5}$ + 1. $1^{0}$ $(3x)^{6}$

= 1 + 18x + 135x² + 540x³ + 1215 $x^{4}$ + 1458 $x^{5}$ + 729 $x^{6}$

--------------------------------------------------------------------------------------

$(1-3x)^{6}$

= 1. $1^{6}$ $(-3x)^{0}$ + 6. $1^{5}$ $(-3x)^{1}$ + 15. $1^{4}$ $(-3x)^{2}$ + 20. $1^{3}$ $(-3x)^{3}$ + 15.1² $(-3x)^{4}$ + 6. $1^{1}$ $(-3x)^{5}$ + 1. $1^{0}$ $(-3x)^{6}$

= 1 - 18x + 135x² - 540x³ + 1215 $x^{4}$ - 1458 $x^{5}$ + 729 $x^{6}$

----------------------------------------------------------------------------------

Collecting like terms from both expressions

$(1+3x)^{6}$ + $(1-3x)^{6}$

= 2 + 270x² + 2430 $x^{4}$ + 1458 $x^{6}$

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1 5 10 10 5 1

Decreasing powers of 1 from $1^{5}$ to $1^{0}$

Increasing powers of 2x from $(2x)^{0}$ to $(2x)^{5}$

$(1+2x)^{5}$

= 1. $1^{5}$ $(2x)^{0}$ + 5. $1^{4}$ $(2x)^{1}$ + 10. $1^{3}$ $(2x)^{2}$ + 10. $1^{2}$ $(2x)^{3}$ + 5. $1^{1}$ $(2x)^{4}$ + 1. $1^{0}$ $(2x)^{5}$

= 1 + 10x + 40x² + 80x³ + 80 $x^{4}$ + 32 $x^{5}$

8 0

2 years ago

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon

rosijanka [135]

Answer:

$y = 0.35x + 35$

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Finding the slope:

We have two points: (110, 73.5) and (760, 301).

The slope is given by the change in y divided by the change in x. So

Change in y: 301 - 73.5 = 227.5

Change in x: 760 - 110 = 650

Slope: $m = \frac{227.5}{650} = 0.35$

$y = 0.35x + b$

Finding the y-intercept:

(760, 301) means that when $x = 760, y = 301$ . So

$301 = 0.35(760) + b$

$b = 301 - 0.35(760)$

$b = 35$

$y = 0.35x + 35$

4 0

2 years ago

A condominium building has 25 condo units. Each unit has 5 windows. Ryder said that there are 125 windows altogether.

crimeas [40]

The answer is B, 30 x 5 The answer is reasonable. Ryder is correct. It reasonable because if 25 x 5 is 125, then 30 x 5 won't be too much to be unreasonable. 30 x 5 is 150, therefore it is only 25 windows higher, so it is reasonable. Hope this helps! :)

3 0

2 years ago