Answer:
$133.20
Step-by-step explanation:
Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.
1. Multiply 7.20 by 18 to get 129.60
2. Multiply 0.50 by 7.20 to get 3.60.
3. Add 129.60 and 3.60 together to get the answer, 133.20.
Answer:
91
Step-by-step explanation:
Todd’s average score for six tests = 92.
The sum of two of her test = 188
First, we need to find the total score for the six test. This given below:
Average = sum of all test / number of test
sum of all the test = average x number of test
average score for six tests = 92.
Number of test = 6
Sum of all the Tests = 92 x 6 = 552
Sum of four test = sum of all the test — sum of two test
Sum of four test = 552 — 188 = 364
Now we can solve for the average of the other four test as shown below:
Average of four test = 364/4= 91
Looks like the given limit is

With some simple algebra, we can rewrite

then distribute the limit over the product,

The first limit is 0, since 1/3ⁿ is a positive, decreasing sequence. But before claiming the overall limit is also 0, we need to show that the second limit is also finite.
For the second limit, recall the definition of the constant, <em>e</em> :

To make our limit resemble this one more closely, make a substitution; replace 9/(<em>n</em> - 9) with 1/<em>m</em>, so that

From the relation 9<em>m</em> = <em>n</em> - 9, we see that <em>m</em> also approaches infinity as <em>n</em> approaches infinity. So, the second limit is rewritten as

Now we apply some more properties of multiplication and limits:

So, the overall limit is indeed 0:

Mass, hardness, density, luster