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2 years ago

You want to buy a new case for your iPhone. The case is $37 and the tax is 6%. WHAT IS THE TOTAL?

Mathematics

1 answer:

aliina [53]2 years ago

8 0

Answer:

$39.22

Step-by-step explanation:

The case costs $37. $37 is 100% of the price of the case.

The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.

The total price including tax is 106% of the price of the case.

106% of $37 = 1.06 * $37 = $39.22

Answer: $39.22

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Find the probability p(e or f) if e and f are mutually exclusive, p(e)equals 0.25, and p(f)equals 0.51.

Masteriza [31]

The definition of two events being mutually exclusive (or disjoint) only means that it is not possible for the two events to occur together. Given two events, E and F, they are mutually exclusive and also mean independent.

In this case, since events E and F are mutually exclusive, therefore the probability that either E or F will occur will simply be the sum of two events.

P (E or F) = P (E) + P (F)

P (E or F) = 0.25 + 0.51

P (E or F) = 0.76

Therefore this means that there is a 76% probability that either E or F will occur.

8 0

3 years ago

Find the missing part.

sveta [45]

Answer:

The answer is $a = \frac{15}{4}$

Step-by-step explanation:

We have to:

$cos(\theta) = \frac{adjacent\ side}{hypotenuse}$

So, if we take the 60 degree angle of the smallest triangle, we have to:

$cos(60) = \frac{a}{x}$

We do not know x. But if we take the sine of the angle of 30 degrees and the main triangle we have:

$sin(30) = \frac{x}{15}\\\\x =\frac{15}{2}$

Then:

$cos(60) = \frac{a}{\frac{15}{2}}$

$a = cos(60)\frac{15}{2}$

$a = \frac{15}{4}$

7 0

2 years ago

PLEASE HELP ASAP ITS TIMED

7nadin3 [17]

Answer:

the first two are yes the other two are no

Step-by-step explanation:

i just did this on edgenuity

5 0

3 years ago

karen deposited $8500 in a college savings account for her grandson. the account earns an annual simple interest rate of 6.5%. h

Umnica [9.8K]

8500 x 6.5 x 10 + 8500 =
8500 x 6.5 + 8500 =
8500 x 6.5/100 + 8500 =
8500 x 13/20 + 8500 =
110500/20 + 8500 =
5525 + 8500 =
14025

3 0

3 years ago

5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write

kakasveta [241]

5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

$\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}$

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6. For the apples to price relationship, we have;

$\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}$

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

$\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}$

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

$\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}$

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

Learn more about proportional relationships here;

brainly.com/question/24289972.

5 0

2 years ago