Item 1 The value of a car is $23,000. It loses 11.1% of its value every year. Find the approximate monthly decrease in value. Round your answer to the nearest tenth.

Answers

Answer 1
Answer:

Answer:

$212.8

Step-by-step explanation:

If the car loses 11.1% per year, we need to calculate how much money is that:

23,000(11.1)/(100) = 2,553.; this value is the lost per year.

Now, in order to calculate this loss per month, we divide it by 12:

(2553)/(12) =212.75

Hence, the monthly value decrease is $212.8, rounding it to the tenth.


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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the radius of this circle??

Answers

Answer:

Area of the sector(A) is given by:

A = \pi r^2 \cdot (\theta)/(360^(\circ))

where,

r is the radius of the circle and  \theta is the central angle in degree.

As per the statement:

The area of the sector formed by the 110 degree central angle is 50 units squared.

⇒A = 50 units squared and \theta = 110^(\circ)

Substitute these in [1] and use 3.14 for pi we have;

50 = 3.14 \cdot r^2 \cdot (110)/(360)

50 = 0.959444446r^2

Divide both sides by 0.959444446 we get;

r^2 = 52.1134915

r = √(52.1134915)

Simplify:

r ≈ 7.22 units

Therefore, the radius of this circle is, 7.22 units

Hello,
Let make a rule of three.

For 360° area of the circle is π R²
For 1° ............of the sector .. πR²/360
For 110° ............................... πR²*110/360 =50(units squared)

R²=50*360/(110π)
==>R=6*√(50/(11π))≈7,217137....(units)




Variable y varies directly with variable x, and y = 16 when x = 12. Enter the constant of variation in lowest terms.

y = blank/ blank x

Answers

y=kx
find k
y=16
x=12
16=k12
divide 12
16/12=k
4/3=k

y=4/3x

blanks is 4/3

Example 1. Increase 120 by 10%. 2. Decrease 2 500 by 7%.​

Answers

Answer:

Step-by-step explanation:

E1 = 120 * 110% = 132

E2 = 2500*93%=2325

How do you graph y=18

Answers

y = 18 is just a straight horizontal line at (0,18)

Answer:

Use the slope-intercept form to find the slope and y-intercept

Any line can be graphed using two points. Select two  x

values, and plug them into the equation to find the corresponding  y

values.  Graph the line using the slope and the y-intercept, or the points.

Slope:  2

y-intercept:  18

A line contains the ppoints (-2,5) and (-2, 0) . What is the slope?

Answers

Infinite

Working
By using the formula
(change in y)/(change in x)= gradient m
=(5-0)/(-2--2)
=5/0

Rewrite each expression by completing the square.
a. z^2 − 5z + 8
b. x^2 + 0.6x + 1

Answers

Answer:

The answer to your question is below

Step-by-step explanation:

a)

                                                       z² - 5z + 8

Equal to zero                                 z² - 5z + 8 = 0

Subtract 8 in both sides                z² - 5z  + 8 - 8 = 0 - 8

Simplify                                           z² - 5z             = -8

Divide -5 by 2 write the result

in both sides of the equation       z² - 5z + (-5/2)² = -8 + (-5/2)²

to the power of 2

Simplify                                          z² - 5z + 25/4 = -8 + 25/4

                                                      z² - 5z + 25/4 = -32/4 + 25/4

                                                      z² - 5z + 25/4 = -7/4

Factor                                            (z - 5/2)² = -7/4

b)

                                                        x² - 0.6x + 1

Convert 0.6 to a fraction                0.6 = 6/10 = 3/5

                                                        x² - 3/5x + 1

Equal to zero                                 x² - 3/5x + 1 = 0

Subtract -1 in both sides                z² - 3/5z  + 1 - 1 = 0 - 1

Simplify                                           z² - 3/5z             = - 1

Divide -3/5 by 2 write the result

in both sides of the equation       z² - 3/5z + (-3/10)² = -1 + (-3/10)²

to the power of 2

Simplify                                          z² - 3/5z + 9/100 = -1 + 9/100

                                                      z² - 3/5z + 9/100 = -100/100 + 9/100

                                                      z² - 3/5z + 9/100 = -91/100

Factor                                            (z - 3/10)² = -91/100