Answer:
The answer is 2 cakes.
Step-by-step explanation:
What we know:
-Each cake requires 2 1/2 cups of sugar.
-Sheila has 7 1/3 cups of sugar.
What we need to know:
-How many cakes can Sheila make with 7 1/3 cups of sugar.
Remember:
-You must make a whole cake.
Show your work:
-I am going to convert the fraction into a decimal.
-2 1/2=2.5 and 7 1/3=7.3
-2 cakes will require 5 cups of sugar and you will remain with 2.3 cups of sugar.
-You <em>cannot </em>use 2.3 cups of sugar to make a cake. It must be in full.
20 words per minute is the answer
Answer:
x=25
Step-by-step explanation:
Given
To solve this, we are going to use the recursive formula for a geometric sequence:

where

is the nth term of the geometric sequence.

is the first term of the geometric sequence.

is the common ratio

is the position of the term in the sequence.
We know that the starting salary is $42,000, so

. Now, to find the common ratio

, we need to find the next term in the sequence first:
We know from our problem that t<span>he company automatically gives a raise of 3% per year, so the next term in the sequence will be 42000 + 3%(42000) = 42000 + 1260 = 43260. Remember that the common ratio is the current term of the geometric sequence divided by the previous term of the sequence; we know that our current term is 43260 and the previous term is 42000, so:
</span>


<span>Now we can plug the values in our recursive formula:
</span>


We can conclude that the recursive definition for the geometric sequence formed by the salary increase is: