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3 years ago

A new car that sells for $18.000 depreciates at a rate of 25% per year. Find the value of the car after 4 years ?

Mathematics

1 answer:

Rom4ik [11]3 years ago

4 0

Answer:

After 4 years, the value of the car would be of $5695.31.

Step-by-step explanation:

The formula for compound interest works perfectly in this case:

$a = p {(1 + \frac{r}{n} )}^{nt}$

As in this case the repetitions per annum are just 1 (yearly), we can ignore the n.

Replacing variables with our values, a yields the depreciated value:

$a = 18000 {(1 - 0.25)}^{4} \\ a = 18000 {(0.75)}^{4} \\ a = 18000(0.31640625) \\ a = 5,695.3125 = 5695.31$

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Functions and their Properties Practice Need help

lilavasa [31]

Answer:

$g(n-7)=\frac{n^{2}-14n+43}{7n-49}$ → (a)

Step-by-step explanation:

We need to evaluate g(n - 7), where

$g(x)=\frac{x^{2}-7}{7x}$

Replace x by (n - 7) to evaluate it

∵ x = (n - 7)

∴ $g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}$

→ Let us find (n - 7)²

∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)

∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49

∴ (n - 7)² = n² - 14n + 49

→ Find 7(n - 7)

∵ 7(n - 7) = 7(n) - 7(7)

∴ 7(n - 7) = 7n - 49

→ Now let us write then in the form above

∵ $g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}$

→ Add the like terms in the numerator

∴ $g(n-7)=\frac{n^{2}-14n+43}{7n-49}$

The correct answer is (a)

5 0

4 years ago

ammar hikes 23/4 miles of nature trail in 1 hour and 15 min .How many miles of trail does ammar hike per hour? pleas help me to

telo118 [61]

23/4 miles is as much as 5 3/4 miles. We can also write it as a decimal, because 5 3/4 = 5,75 miles.

If Ammar hikes 5,75 miles in 1 1/4 hour, then we need to find out what distance does he hike in 1/4 hour (15 minutes). To do that we can just divide 5,75 by 5 (because dividing 1 1/4 by 5 will give us 1/4 we're looking for).

5,75 / 5 = 1,15

It means that in one hour Ammar hikes 5,75 - 1,15 = 4,6 miles.

We can also write it as a fraction:

4,6 = 4 6/10 = 4 3/5 = 23/5 miles

Just pick whichever form you like :)

3 0

3 years ago

Explain your answer ! ( WILL GIVE BRAINLST)

user100 [1]

Answer:

The bottle of juice is $1

Step-by-step explanation:

It is one dollar because if you break down the fact that if you get an apple and a bottle of juice and you have to pay $3 then it's fairly easy to figure out that the only solution is that the apples cost $2 each so if you get three apples and one juice then you subtract 6 from 7 and you get $1

3 0

3 years ago

Read 2 more answers

Classify the random variables below according to whether they are discrete or continuous.a. The number of people in a restaurant

Murrr4er [49]

Answer:

a) Discrete

b) Continuous

c) Continuous

d) Discrete

e)Discrete

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

a. The number of people in a restaurant that has a capacity of 100.

You cannot have half a person, for example.

The possible number of people in the restaurant are 0, 1, 2,..., 100. So this variable is discrete.

b. The height of a randomly selected giraffe.

The giraffe can have half a meter, for example. That is, the height can be a decimal number. So this variable is continuous

c. The square footage of a house.

You can have half a square, for example. So this variable is continuous.

d. The number of light bulbs that burn out in the next week in a room with 10 bulbs.

Possible values: 0 bulbs, 1 bulb, ..., 10 bulbs

Only countable values.

So discrete

e. The number of points scored during a basketball game.

0 points, 1 point, 2 points, 10 points, ...

There are no half points in basketball.

So discrete

8 0

3 years ago

Use the relationships in the diagram to find the value of C 520 d 379 63

Brut [27]

Answer:

c = 154°

Step-by-step explanation:

I Hope this helps.

7 0

3 years ago