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Art [367]
3 years ago
9

Sending text messages from Katrina's cell phone costs $0.19 per text message. From last month, she has a credit on her bill for

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

Katrina will have to pay $21.02 this month.

Step-by-step explanation:

The cost per text message = $0.19

Last month credit = $9.50

The number of text messages sent this month = 158

So, the total cost of 158 texts = 158 x cost per text

= 158 x $0.19  = $ 30.52

So, her total bill = The amount spent on texts - The credit amount

                            = $ 30.52 - $9.50 = $21.02

So, Katrina will have to pay $21.02 this month.

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Which mixed number is equal to 18/8 <br> 2 6/9<br> 2 5/8<br> 2 1/4<br> 1 2/8
Galina-37 [17]

Answer: 2 1/4

Step-by-step explanation:

4 0
2 years ago
Lena's engagement ring has a radius of 9 millimeters. What is the ring's circumference? Use 3.14 for ​
scoray [572]

Answer:

Given - Radius of ring is 9 millimeters

To find - Circumference

Solution -

9 millimeters = 0.9 centimeters

Circumference of circle = 2 × pie × r

= 2 × 3.14 × 0.9

= 6.28 × 0.9

= 5.652

4 0
3 years ago
A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
2 years ago
Solve 3-3x &lt; -5<br><br> The answer has form <br> x&gt;A<br> x&lt; A<br> Where A=
kvv77 [185]
This is bs Tooo HARD
8 0
3 years ago
Read 2 more answers
In what way is the survey question biased? (PLEASE HELP ME AND SEE THE PICTURE BELOW)
Ksju [112]

Answer: Hello there!

well first of all Biased means : unfairly prejudiced for or against someone or something. So I think it is biased becuase it says <u><em>you use your computer.</em></u><u>  </u> and the answer choices are trying to limit you. Hope this helps.

Step-by-step explanation:


5 0
3 years ago
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