All categories

2 years ago

Please show the work/explain. I need to write it down.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

5 0

9514 1404 393

Answer:

20 months
$5500

Step-by-step explanation:

There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.

at dealer 1, the total amount paid (y) will be a function of months (x):

y = 2500 +150x

at dealer 2, the corresponding equation is ...

y = 3000 +125x

These are equal when ...

y = y

2500 +150x = 3000 +125x

25x = 500 . . . . . . . . . subtract 125x +2500 from both sides

x = 500/25 = 20

The total paid will be the same after 20 months.

That amount is ...

y = 2500 +150(20) = 5500

$5500 will be paid to either dealer after 20 months.

The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...

25x = 500 . . . . . . . . . you may recognize this equation from above

x = 500/25 = 20

You might be interested in

Consider this right triangle.<br> 21<br> 29<br> 20<br> Enter the ratio equivalent to s

AleksAgata [21]

Answer:

Part 1) $sin(B)=\frac{21}{29}$

Part 2) $csc(A)=\frac{29}{20}$

Part 3) $cot(A)=\frac{21}{20}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(B)=\frac{21}{29}$

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

$csc(A)=\frac{1}{sin(A)}$

$sin(A)=\frac{BC}{AB}$ -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(A)=\frac{20}{29}$

therefore

$csc(A)=\frac{29}{20}$

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

$cot(A)=\frac{1}{tan(A)}$

$tan(A)=\frac{BC}{AC}$ -----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{20}{21}$

therefore

$cot(A)=\frac{21}{20}$

4 0

3 years ago

Pls help ASAP im in a test

atroni [7]

12 divided by 24 = 0.5

8 0

2 years ago

gerald spent $5.12 for a drink and a sandwich his drink cost $1.30 did he have a ham sandwich for $3.54 a tuna sandwich for $3.8

Korolek [52]

5.12-1.30= your answer

7 0

3 years ago

Read 2 more answers

Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch

Vilka [71]

The data are skewed and there is an outlier statement first is correct.

<h3>What is the box and whisker plot?</h3>

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data on the box plot.

Because the dots decrease as the number line grows, the depicted dot plot is skewed right.

The graph's "tail" is pushed toward greater positive numbers. As a result, the mean is pushed towards the graph's tail and is higher than the median.

Thus, the data are skewed and there is an outlier statement first is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

5 0

1 year ago

If f(x) = x+2, what is the inverse of f(x)?

VMariaS [17]

Answer:

the inverse would be x-2

Step-by-step explanation:

8 0

2 years ago