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2 years ago

А

Mathematics

1 answer:

AveGali [126]2 years ago

8 0

Answer:

AB = 12 cm

Step-by-step explanation:

AB/BC = XY/BY

From the above question:

AB = ??

BC = 9cm

XY = 4cm

BY = 3 cm

AB/9 = 4/3

Cross Multiply

AB × 3 = 9 × 4

AB = 9 × 4/3

AB = 12 cm

Therefore, Length AB = 12cm

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For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year.

lidiya [134]

Answer: $ 125987.80

Step-by-step explanation:

Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula

$V (t)=V_o(b)^t$ , here $V_o$ is the initial asset value and b is the multiplicative decay factor.

The exponential decay function is given by ;-

$f(x)=A(b)^x$ , where A is the initial value , x is the times period and b is the multiplicative decay factor.

where b = 1-r, r is the rate of decay.

Since r = 15%=0.15

Therefore, b = 1-0.15=0.85

Now ,for 7 years , the value of assets is given by :-

$V=393000(0.85)^7=125986.795\approx125987.80$

Hence, the assets valued at after 7 years = $ 125987.80

4 0

2 years ago

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The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip sh

Len [333]

Answer:

$11.65

Step-by-step explanation:

20% of 58.25, "of" in math means multiplication. So you multiply it.

To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:

.20 * 58.25

So your answer is, $11.65.

To find the total of the bill including the tip it would just be

11.65 + 58.25 = 69.90

4 0

2 years ago

Which table shows a proportional relationship between x and y ?

insens350 [35]

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

$k = \frac{y}{x}$

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

$k = \frac{y}{x}$

$k = \frac{4}{2}$

$k = 2$

x = 4, y = 9

$k = \frac{y}{x}$

$k = \frac{9}{4}$

$k = 2.25$

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

$k = \frac{y}{x}$

$k = \frac{4}{3}$

$k = 1.33$

x = 9, y = 16

$k = \frac{y}{x}$

$k = \frac{16}{9}$

$k = 1.78$

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

$k = \frac{y}{x}$

$k = \frac{12}{4}$

$k = 3$

x = 5, y = 15

$k = \frac{y}{x}$

$k = \frac{15}{5}$

$k = 3$

x = 6, y = 18

$k = \frac{y}{x}$

$k = \frac{18}{6}$

$k = 3$

This shows a proportional relationship because all values of k are the same for this table

7 0

3 years ago

The midpoint of overline text AB M(−5,−2). If the coordinates of A are (−3,4), what are the coordinates of B?

iren2701 [21]

Answer:

B: (-7, -8)

Step-by-step explanation:

If the midpoint of (-3, 4) is (-5, -2), then the difference in x is 2, and the difference in y is 6. So to get from the midpoint to b, you have to add two to the x value, and add 6 to the y value. This gets us to the point (-7, -8).

*Hope this helped! : )*

5 0

3 years ago

2+2=?<br> What does it equal

Oxana [17]

Answer:

Step-by-step explanation:

2 + 2 = 4

4 0

2 years ago

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