Emma decided to bake cookies. Her recipe called for 3 cups of sugar and 4 cups of chocolate chips for 2 batches of cookies. If she made 12 batches of cookies, how many cups of chocolate chips does Emma need?

24 cups of chocolate chips

Step-by-step explanation:

Since this is a proportion problem and there is only one variable that needs to be found we can use the Rule of three to solve this problem. To do this we simply divide the diagonal values by the last value which would ultimately give us the value of the variable in question, like so...

4 cups of chocolate chips  <> 2 batches of cookies

x cups of chocolate chips  <> 12 batches of cookies

(4 * 12) / 2 = 24 cups of chocolate chips

Therefore, we can now see that we would need a total of 24 cups of chocolate chips to make the 12 batches of cookies.

lol 2

step-by-step explanation:

the exponential expression to find the value of the cd, in dollars, after t years will be:  

step-by-step explanation:

formula of compound interest:   , where final value after years,   initial value, rate of interest in decimal and number of compounding in a year.

oliver plans to purchase a $1,500 certificate of deposit (cd) at his bank. that means,  

the cd will earn 2.3% interest, compounded semi-annually.

so,   and  

now, plugging these values into the above formula, we will

(rounded to the nearest ten-thousandth)

so, the exponential expression to find the value of the cd, in dollars, after t years will be: