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Nataly_w [17]
2 years ago
15

Danielle’s text messaging plan costs 7$ for the first 700 messages and 30 cents for each additional text message. If she owes 18

.40$ for text messaging in the month of October, how many text messages did she send that month?
Mathematics
1 answer:
Artemon [7]2 years ago
7 0

Answer:

738 messages

Step-by-step explanation:

Use the given information to set up an equation. 7 is constant and 0.3 per message, with a total of 18.40.

0.3x + 7 = 18.4

Now solve for x

0.3x = 11.4

x = 38

She sent 38 messages over the standard 700, meaning she sent a total of 738 messages in the month of October

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Let A = {the Rationals) and B = {the Irrationals). Find AU B.
anzhelika [568]

Answer:

Option B.

Step-by-step explanation:

It is given that

A = {The Rationals}

B = {The Irrationals}

We need to find the set A∪B.

If we have two sets X and Y then union of these sets (X∪Y) contains all the elements of set X, of set Y or both.

It is given that A is the set of rations and B is the set of irrational, so the union A∪B is the combined set of all rational or irrational numbers.

A∪B = {The Rationals} +  {The Irrationals}

A∪B = {The Reals}

Therefore, the correct option is B.

4 0
3 years ago
Each of the 6 people in mandy's family orders 2 tacos. Each taco cost 3$. What is the total cost of the tacos?
MatroZZZ [7]

Answer:

36

Step-by-step explanation:

6 x 2= 12

12 x 3= 36

7 0
2 years ago
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
What is -10=k+6 please show work thank you
Tresset [83]

Answer:

k=-16

Step-by-step explanation:

-10=k+6

subtract 6 both both sides to isolate the variable

-16=k

Happy Holidays!!

7 0
3 years ago
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Lamont works for an electric utility and is installing a 40 foot utility pole as shown. Lamont drills the anchor of a support ca
otez555 [7]
Kindy Refer to your text book!
4 0
3 years ago
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