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4 years ago

15

Cell phone company charges$50 for an 800-minute monthly plan, plus an additional $0.22 per minute for every minute over 800. if

a customer's bill ranged from a low of $67.16 to a high of $96.86 over a 6-month period, what were the most minutes used in a single month

1 answer:

pentagon [3]4 years ago

3 0

The most used minutes in a moth is 1013.

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You can reflect a square onto itself across ___ different lines of reflection.

notka56 [123]

The answer is c because if you have a square and you look at a reflection you can see that a square has 4 sides so if you look at the reflection you would see another of the square. So what you would do is 4+4 which equals to 8.

8 0

4 years ago

One of the quarterbacks last weeks completed 24 out of 30 passes. If he continues that trend this week and he throws the ball 40

SOVA2 [1]

30/40 passes :)
explanation: 24/30=75%
75% of 40=30

4 0

3 years ago

No one has answered this one

krek1111 [17]

Answer:

$\displaystyle x = \frac{25\sqrt{2}}{2}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Trigonometry</u>

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = <em>x</em>

<u>Step 2: Solve for </u><em><u>x</u></em>

Substitute in variables [cosine]: $\displaystyle cos(45^\circ) = \frac{x}{25}$
[Multiplication Property of Equality] Multiply 25 on both sides: $\displaystyle 25cos(45^\circ) = x$
Rewrite: $\displaystyle x = 25cos(45^\circ)$
Evaluate: $\displaystyle x = \frac{25\sqrt{2}}{2}$

7 0

3 years ago

Biologists have found that the number of chirps some crickets make per minute is related to temperature. the relationship is ver

aalyn [17]

Answer:

It is $74.24$ degrees Fahrenheit when the crickets are chirping $150$ times a minute.

Variables $x = Chirps$ and $y = Degrees$

y-intercept $= 38.24$

slope $= 0.24$

Step-by-step explanation:

As the chirps are $124$ times per minute for $68$ degrees Fahrenheit we will consider it in $(x_1,y_1) = (124,68)$ .

Now when the chirps are $172$ times and temperature is $80$ degrees we consider it $(x_2,y_2) = (172,80)$ .

To find the slope we can use point-slope formula.

Where $m$ is the slope and $m=\frac{y_2-y_1}{x_2-x_1} =\frac{80-68}{172-124}= 0.24$

To find y-intercept we will plug out the value of slope in $y=m(x)+b$ choosing point $(x_1,y_1) = (124,68)$ .

So $b=y-m(x) =68-124(0.24) =68-29.76=38.24$

And the equation is $y=0.24(x)+b$

To calculate temperature for $150$ chirpings we have to plug $x=150$ and $b=38.24$ in our above equation which is in form of $y=m(x)+b$

$y=0.24(x)+b$

$y=0.24(150)+38.24=74.24\approx 75$ degrees Fahrenheit.

Finally we have :

Temperature $74.24$ degrees Fahrenheit.

With variables $x = Chirps$ and $y = Degrees$

y-intercept $= 38.24$ and

slope $= 0.24$

6 0

3 years ago

$1100 at 8%, for 15 years, compounded annually.

ololo11 [35]

Answer:

$3489.39

Step-by-step explanation:

This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.

The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.

Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.

1) Divide 8 by 100.

$8/100=0.08$

2) Add 1 to 0.08.

$1+0.08=1.08$

3) Multiply 1100 by 1.08 to the power of 15.

$1100*1.08^{15} =3489.39$

3 0

3 years ago