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3 years ago

26. The cost of a television set has increased continuously by 2%. In 1999, the average

Mathematics

1 answer:

RUDIKE [14]3 years ago

8 0

Answer:

The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of the TV set in 1999 = US$ 400

Annual increase rate = 2% = 0.02

2. Write an exponential model to represent this data.

Cost after n years = Cost in 1999 * (1 + r)ⁿ

where r = 0.02 and n = the number of years since 1999

Replacing with the real values for 2020, we have:

Cost after 21 years = 400 * (1 + 0.02)²¹

Cost after 21 years = 400 * 1.5157

Cost after 21 years = $ 606.28

The TV set costs $ 606.28 in 2020.

The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ

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sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y = $\frac{7}{9}$ x + $\frac{16}{9}$

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

$(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )$

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

$\frac{9-0}{0-7}=\frac{9}{-7}$

-> The slopes of two perpendicular lines are negative reciprocals of each other, so $\frac{7}{9}$ will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = $\frac{7}{9}$ (x-3.5)

y - 4.5 = $\frac{7}{9}$ x- $\frac{49}{18}$

y = $\frac{7}{9}$ x- $\frac{49}{18}$ + 4.5

y = $\frac{7}{9}$ x + $\frac{16}{9}$

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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2 years ago

If people who bought 4 souvenir spent $2 for each one,how much did all the people who bought 4 souvenir spend in all ?

puteri [66]

I believe it is $0.50.

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3 years ago

parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are corresponding angles with angle 8?

Anuta_ua [19.1K]

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3 years ago

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Anna71 [15]

Answer:

State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.

Step-by-step explanation:

Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:

x*(x+1) = 132

x² + x - 132 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)}$

$x = \frac{-1 \pm 23}{2}$

$x_1 = \frac{-1 + 23}{2}$

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The negative solution has no sense in the context of our problem, then the solution is x = 11.

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3 years ago

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Eddi Din [679]

Answer:

k = 33

Step-by-step explanation:

7 + k/3 = 18

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3 years ago

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