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Leviafan [203]
3 years ago
11

You have 2 different savings accounts. For Account​ A, the simple interest earned after 9 months is ​$2.40. For Account​ B, the

simple interest earned after 30 months is ​$27.50. If the interest rate is 3.2​% for Account A and 2.2​% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
8 0
2.40 times two would be 2.2
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Which of the following are independent pairs of events? Check all that apply.
Mila [183]

Answer:

A,D and E

Step-by-step explanation:

Intuitively speaking two events are independents when the occurrence of one event (A) does not exert influence over the event (B)

Symbolic speaking in terms of sets

P(A∩B)= P(A) * P(B)

Examining each alternative

A. Flipping two coins and having one show a head and the other show a head

Independent. Each flipping coin does not exert any influence on the other

B. Being sneezed on and catching a cold

Dependent. This sequence of events expresses cause consequences effects.

C. When rolling a pair of dice, getting a total of 6 and having one die show a 3

Dependent

Under these conditions, the second event is dependent since all we need is a sum of six, having the first dice showing three. The second one has to show three. So it does exert influence under the result.

D. Rolling a 4 on one die and rolling a 2 on another die

Independent. To get a 4 does not exert any influence on getting a 2 on another dice.

E. Seeing clouds and winning the lottery

Independent.

There is no influence seeing clouds and winning the lottery.

4 0
3 years ago
Read 3 more answers
What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?
mafiozo [28]
Answer: -3n-2. 

Because for the first term, for example, plug in 1, you'll get -3(1)-2=-3-2=-5, which is the first one. Try it with all terms. 
8 0
3 years ago
Complete the function remove_all(L, x) so that, given a list L and a target value x, it returns a copy of the list that excludes
tia_tia [17]

Answer:

Code is given below along with explanation and output.

Step-by-step explanation:

we can use the method of list comprehension to achieve the given task.

In a list comprehension, we create a sub-list of elements which satisfy specific conditions. the condition i !=x makes sure that x would be excluded in the modified list.

def remove_all(L, x):

   return [i for i in L if i != x]

L = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4 ]

print('Before =',L)

L = remove_all(L, 4)

print('After =',L)

Output:

Before = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4]

After = [1, 2, 3, 5, 6, 3, 2]

As you can see we have successfully removed the multiple occurrence of x=4 while preserving the order of the list.

4 0
4 years ago
One coin is flipped six times. What is the probability of flipping two heads and four tails?
Scilla [17]

Answer:

1/6 x 1/6 = 1/36

1/36 is our probability of getting two heads and four tails.

4 0
3 years ago
Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to grea
ddd [48]

Answer:

(1, -2), (4, 1)

Step-by-step explanation:

Here we want to solve the system of equations:

y = x^2 - 4*x + 1

y = x - 3

First, we can see that in both parts we have isolated the variable "y", so we can just write:

x - 3 = y = x^2 - 4*x + 1 = y

removing the "y"s, we get:

x - 3 = x^2 - 4*x + 1

Now we can solve this for x

0 = x^2 - 4*x + 1 - x + 3

0 = x^2 - 5*x + 4

This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The solutions are given by:

x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}

So for the case of our equation:

0 =x^2 - 5*x + 4

The solutions are given by:

x = \frac{-(-5)  \pm \sqrt{(-5)^2 - 4*1*4}   }{2*1}  = \frac{5  \pm 3}{2}

So the two solutions are:

x₁ = (5 + 3)/2 = 4

x₂ = (5 - 3)/2 = 1

To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:

y = x₁ - 3 = 4 - 3 = 1

Then we have one solution at (4, 1)

And for the other:

y = x₂ - 3 = 1 - 3 = -2

then the ordered pair is (1, -2)

Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:

(1, -2), (4, 1)

7 0
3 years ago
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