Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle at one dealer she would pay 2500 dollars down and 150 each month at another dealer she would pay 3000 down and 125 each month after how many months would the total amount paid be the same for both dealers and what would that amount be

The total amount paid ($5500) will be the same for both dealers after 20 months.

Step-by-step explanation:

Hi, to solve this problem we have to write an equation using the information given:

Down payment: $2500

Monthly payment: $150

Down payment: $3000

Monthly payment: $125

So, for both dealers, we have to multiply the monthly payment by the number of months (x ) and add the down payment.

Mathematically speaking

Then, we equal both equations because the total amount has to be the same:

$2500 +$150x =$3000 +$125x

Solving:

$150x - $125x = $3000-$2500

$25x = $500

x = $500/ $25 =20 months

The total amount paid will be the same for both dealers after 20 months.

To calculate the amount simply replace "x" for the 20 months in any equation.

$2500 +$150 x20m =

$2500 + $3000 = $5500

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have