Write the value of the underlined digit 5.349

Rich is comparing the cost of maintaing his car with the depreciating value of the car. When will the cost and value be the same

goldfiish [28.3K]

Complete question:

Rich is comparing the cost of maintaining his car with the depreciation value of the car.

The value starts at $20,000 and decreases by 15% each year. The maintanance cost is $500 the first year and increases by 28% per year.

When will the maintenance cost and the value be the same.

Answer:

9 years

Step-by-step explanation:

Depreciation is modeled by an exponential function :

A = p(1 - r)^t [decrease, '-']

A = 20,000(1 - 0.15)^t

A = 20000(0.85)^t - - - (1)

Maintainace cost :

A = p(1 + r)^t ; [increase, '+']

A = 500(1 + 0.28)^t

A = 500(1.28)^t - - - (2)

Equating (1) and 2

20000(0.85)^t = 500(1.28)^t

1.28^t / 0.85^t = 20000/500

(1.28 / 0.85)^t = 40

Take log of both sides

Log (1.28 / 0.85)^t = log 40

t * 0.1777910 = 1.6020599

t = 1.6020599 / 0.1777910

t = 9.01

t = 9 years

8 0

3 years ago

suppose a compact car uses 1 gallon of fuel for every 27 miles traveled. How would the graph for the compact car compare to the

Gekata [30.6K]

The answer to the question is it would add twenty seven every two times it goes up

6 0

3 years ago

Read 2 more answers

Which sequence of transformations will map figure K onto figure K′? Two congruent kites, figure K and figure K prime, are drawn

elixir [45]

Answer:

The sequence of transformations will map figure K onto figure K′

is the first sequence option (1)

======================================================

Step-by-step explanation:

See the attached figure

as shown in the figure the K' is the image of K by reflection over x-axis

But  We need to know which sequence of transformations will give the same result.

So, we will test the options by any point from K and its image from K'

i.e: we will test the options using the points (6,5) , (6,-5)

(6,5) ⇒ (6,-5)

option (1):

Reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (6,-5)

option (2):

Reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (-10,-5)

option (3):

Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (2,-3)

option (4):

Reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (-14,-3)

As shown: The sequence of transformations will map figure K onto figure K′

is the first sequence option (1)

7 0

3 years ago

Read 2 more answers

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

sertanlavr [38]

Answer:

Step-by-step explanation:

Given that there are two machines available for cutting corks intended for use in wine bottles.

X1 = diameter of I machine and X2 = diameter of II machine

X1 is N(3.04, 0.02) and X2 is N(2.9, 3.1)

Acceptable is mean =3 and std dev = 0.1

a) $P(2.9$

b) $P(2.9$

Both are certain events.

6 0

3 years ago

Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of

kipiarov [429]

Step-by-step explanation:

Let's call A is the number of tickets Raul sells per hour.

g(x) = A*x

Let's call B is the amount of money Raul earns per ticket.

f(g(x)) = B*g(x) = B*A*x

4 0

2 years ago