What is the equation of the line?

Kwame bought a car for $25,000. The value of the car is decreasing at a rate of 6.5% each year. Write a function that represents

sweet-ann [11.9K]

<h3>The function that represents the price P of the car after x years is:</h3>

$P = 25000(0.935)^x$

Solution:

The decreasing function is given as:

$y = a(1 - r)^t$

Where,

y is future value

a is initial value

r is decreasing rate in decimal

t is time period

From given,

a = 25000

$r = 6.5 \% = \frac{6.5}{100} = 0.065$

number of years = x

future value = P

Therefore,

$P = 25000(1 - 0.065)^x\\\\P = 25000(0.935)^x$

Thus the function is found

8 0

3 years ago

Of the 9 people attending a lecture, 3 have green eyes.

nadya68 [22]

The probability is 1/3

4 0

1 year ago

An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The manager’s target is to

exis [7]

the complete question in the attached figure

we have

$72 ------------------------------------ > for every television sold

$90 ------------------------------------ > for every computer sold.

let

x--------------------- > numbers of television sold

y--------------------- > numbers of computer sold

then

72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5

y >= (5-x)/1.25--------------see the graph in attached figure

case A---------- > (5,2) (3,3) (1,4)

72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

case B------------ > (4,0) (2,2) (1,1)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution

case C------------ > (3,1) (2,2) (1,0)

72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution

case D------------ > (4,0) (3,3) (1,4)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

the answer is case A

4 0

3 years ago

Read 2 more answers

Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59

maksim [4K]

Answer: Therefore, Option 'A' is correct.

Step-By-Step explanation:

Since we have given that

Amount spent on equipment = $36

Amount spent on fees = $158

Amount spent on transportation = $59

Total amount spent by them is given by

$36+158+59=\$253$

Percent cost of equipment of the total amount is given by

$\frac{36}{253}\times 100=14.2\%$

Percent cost of fees of the total amount is given by

$\frac{158}{253}\times 100\\\\=62.45\%$

Percent cost of transportation of the total amount is given by

$\frac{59}{100}\times 100\\\\=23.3\%$

Hence, Percent cost of the total spent on each is

14%, 62%, 23%.

Therefore, Option 'A' is correct.

6 0

2 years ago

I need help someone help me please <3

ElenaW [278]

Answer:

$y=-\frac{3}{2}x-2$

Step-by-step explanation:

using the y=mx+b equation, where m=slope and b=y-intercept, we can place our known slope and y-intercept to form our answer, $y=-\frac{3}{2}x-2$ :-) hope this helped!

4 0

2 years ago