A storekeeper increased the price of hats by 5%. Write an equation to calculate the increase of the total cost, c, when the price of a hat is p dollars.

c = 1.05p

Step-by-step explanation:

the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p

Let illustrate with an example.

The price of a hat was $100, after the 5% increase. the cost of the hat becomes

100 + (0.05 x 100) = 105

To find the percentage increase

divide 105 by 100 and subtract 1

(105/100) - 1 = 1.05

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;