MATHEMATICS HIGH SCHOOL

The price of a chromebook is $230. The sales tax is 12%. What is the amount of the sales tax for the chromebook?$57.20

$9.60

$23.20

$27.60

Answers

Answer 1

Answer:

Answer:

27.60

Step-by-step explanation:

take your $230 and takes 12% and do 12% of 230 which will get you 27.60

Answer 2

Answer: 27.60 you have to multiply 230 x 12 and there is your answer

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Jamal drew the function below. Which of the following explains whether or not his function is linear? 1) The function is linear because it has a constant rate of change 2) The function is not linear because it has an exponent 3) The function is not linear because it has a discontinuity 4) The function is linear because it has a y-intercept
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Classify the expression: 5x + 2.Linear expression
Quadratic expression
Cubic expression
Quartic expression

Answers

Answer:it is a linear expression

Step-by-step explanation:

Linear expressions or equations are expressions in which the highest power of the variable is one.

Quadratic expressions or equations are expressions in which the highest power of the variable is two.

Cubic expressions or equations are expressions in which the highest power of the variable is three.

Quartic expressions or equations are expressions in which the highest power of the variable is four.

From the expression, 5x + 2 given,

the highest power of x is one. So it is a linear expression.

It is Linear expression

Irene just drank a cup of coffee to help her stay awake. The coffee had 120 milligrams of caffeine in it. If her body processes 10% of the caffeine every hour, how much will be left in 10 hours? If necessary, round your answer to the nearest tenth.

Answers

Hi there!

For this, we need to use an exponential function. This is because it constantly takes 10% of what is left, not just 10% of the total. The formula for an exponential function:

$a\cdot b^x$

Where $a$ is the original value, $b$ is the rate of change, and $x$ is the time. We know the original value is 120 milligrams. The rate of change is 90%, as after every hour there is 90% of what there was previously remaining. Finally, we are looking for how much is remaining after 10 hours, so 10 is the time.

Plugging this all in, we get:

$120\cdot .9^(10)$

Now, solving:

$120\cdot 0.34867$

$41.8404$

Thus, after rounding, we get that 41.8 milligrams of caffeine will be left in 10 hours.

Hope this helps! Feel free to let me know if you have additional questions about this problem.

Duo makes 65%65% of his dumplings with vegetarian fillings. What fraction of Duo's dumplings have vegetarian fillings?

Answers

Answer: $(13)/(20)$

Step-by-step explanation:

Given: The percentage of dumplings are vegetarian = 65%

We know that to convert percentage in fraction, we need to multiply it with $(1)/(100)$ .

Therefore, to write 65 % in fraction, multiply $(1)/(100)$ to 65, we get $65\%=65*(1)/(100)=(65)/(100)$

Simplify by dividing 5 to numerator and denominator, we get

$65\%=(13)/(20)$

Thus, the fraction of Duo's dumplings have vegetarian fillings = $(13)/(20)$

Answer:

$Fraction\ of\ Duo's\ dumplings\ have\ vegetarian\ fillings\ is\ (13)/(20).$

Step-by-step explanation:

As given

Duo makes 65% of his dumplings with vegetarian fillings.

Thus

$Fraction\ of\ Duo's\ dumplings\ have\ vegetarian\ fillings = (65)/(100)$

Simplify the above

$Fraction\ of\ Duo's\ dumplings\ have\ vegetarian\ fillings = (13)/(20)$

$Therefore\ fraction\ of\ Duo's\ dumplings\ have\ vegetarian\ fillings\ is\ (13)/(20).$

The equation of a line is y = -0.8x + 4. If x = a - 3, what is the value of y when a = -2?A) -4

B) 0

C) 4

D) 8

Answers

Answer:y = 0.8x and y = -0.12x2 + 20

Step-by-step explanation:

X=(-2)-3
X= 6

Y=-0.8(6) +4
Y= -4.8 + 4
Y=.8

A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar

Select the word that correctly completes the sentence.Every function pairs __________ output value with one input value.
(1 point)
more than one
at least one
exactly one