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tia_tia [17]
3 years ago
6

Frank deposits his savings at the bank. After 3 years, it has earned $102 in interest, at a simple

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

1530

Step-by-step explanation:

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Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is select
Blizzard [7]

Answer:

Probability is:   $ \frac{\textbf{13}}{\textbf{51}} $

Step-by-step explanation:

From a deck of 52 cards there are 26 black cards. (Spades and Clubs).

Also, there are 26 red cards. (Hearts and Diamonds).

First, we determine the probability of drawing a black card.

P(drawing a black card) = $ \frac{number \hspace{1mm} of  \hspace{1mm} black  \hspace{1mm} cards}{total  \hspace{1mm} number  \hspace{1mm} of  \hspace{1mm} cards} $  $ = \frac{26}{52} = \frac{\textbf{1}}{\textbf{2}} $

Now, since we don't replace the drawn card, there are only 51 cards.

But the number of red cards is still 26,

∴ P(drawing a red card) = $ \frac{number  \hspace{1mm} of  \hspace{1mm} red  \hspace{1mm} cards}{total  \hspace{1mm} number  \hspace{1mm}of  \hspace{1mm} cards} $  $ = \frac{26}{51}  $

Now, the probability of both black and red card = $ \frac{1}{2} \times \frac{26}{51} $

$ = \frac{\textbf{13}}{\textbf{51}} $

Hence, the answer.

5 0
3 years ago
What is the equation of the line through the points (4,6), (8,12), and (10,15)?
Delvig [45]

y = 3/2x is the answer for this problem.

8 0
3 years ago
Consider the arithmetic 2+4+6+8+10+12+14+16+18+20.... and answer the questions that follown
Andru [333]
No next time ask nicely instead of “and answer the question that follow”
3 0
3 years ago
How do I use the substitution method to find the point of intersection of
Goshia [24]
To substitute, solve for one variable and then plug it into the other equation you have. In this problem, y is already solved for on the top equation (y=x+2), so you just stuff it into the second equation.

y = x + 2
3y = 4x - 2

3(x + 2) = 4x - 2
3x + 6 = 4x - 2
-x = -8
x = 8
y = x + 2 = 8 + 2 = 10

solution:
x = 8 
y = 10

hope this helps!! :)
7 0
3 years ago
What is the solution of the system of equations? -4x+3y=-12 -2x+3y=-18
Kisachek [45]

Answer:

Step-by-step explanation:

I've enclosed a graph to show you that there is one solution.

-4x + 3y = - 12

<u>- 2x + 3y = - 18</u><em><u>  </u></em><em>         </em>Subtract

-2x = 6                        Divide by - 2

-2x/-2 = 6/-2

x = - 3

- 4x + 3y = - 12

-4(-3) + 3y = - 12

12 + 3y = - 12

3y = - 12 - 12

3y = - 24

3y/3 = - 24/3

y = - 8

Which is exactly what the graph shows.

You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.

It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.

The y's are the same so you are 1/2 way home in saying what you did.

The x's are different so that means you have at least 1 solution.

7 0
3 years ago
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