Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. at one dealer she would pay $2,350 down and $175 each month. at another dealer, she would pay $2,850 down and $150 each month. after how many months would the total amount paid be the same for both dealers? what would that amount be?

20 months

Step-by-step explanation:

Let x be the number of months. The cost  equation for each dealer is the total of the down payment and the total monthly contribution. Thus,

Deal 1 cost = $2,350 + $175x

Dealer 2 cost =$2,850 + $150x

The number of months after which the costs from both dealers are equal is calculated by equating the costs for both dealers. Therefore,

$2,350 + $175x = $2,850 + $150x

$175x -$150x =$2,850 -$2,350

   $25x =$500

        x= $500/$25

         x = 20 months

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;