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Lynna [10]
3 years ago
7

what is the probability that the first roll is an even number and the second roll is a number greater than 4?

Mathematics
2 answers:
Alex73 [517]3 years ago
6 0
If we are talking about a 6 sided cube, the probability of an even number is 1/2 and the probabiltity of a number greater than 4 is 1/3.
dalvyx [7]3 years ago
3 0
Multipcation i think
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2 years ago
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays
Iteru [2.4K]

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

  • The interest earned after one year is <u>0.018·x</u>

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing <em>x</em> dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

\displaystyle Interest, \ I  = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}

Plugging in the values gives;

\displaystyle I  = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}

Which gives;

\displaystyle Interest = \frac{x \times 1.8 \times 1}{100}  = 0.018 \cdot x

Interest earned by investing in the savings account for one year, I = 0.018·x

  • The polynomial representing the interest earned is <u><em>I</em></u><u> = 0.018·x</u>

Learn more here:

brainly.com/question/11314161

4 0
2 years ago
3. The sum of two numbers is 17. The difference between the larger number and the
Leno4ka [110]

Answer:

5

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let x represent the larger number and y represent the smaller number.

x + y = 17

x - y = 7

We can solve this system by adding them together. The y cancels out because y + (-y) = 0. After that, we solve for x

2x = 24          

x = 12              (Divide both sides by 2)

Now that we know the value of x, we can substitute it into one of our original equations to solve for y.

12 + y = 17      

y = 5                (Subtract 12 from both sides)

So, the smaller number is 5.

4 0
2 years ago
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