maria wanted to invest $10,000 at the bank. she invested part of her money in a cd account paying 2.1% simple interest and invest the rest of her money in a checking account paying 1.5% simple interest. After 1 year, her interest income was $195. How much did Maria invest in each account

Answer:

7.2

Step-by-step explanation:

(6)^2 + (4)^2

36 + 16

52

square root of 52 = 7.2

Keke, this is the solution:

f (x) = 50 (0.6) ^x

Height of the first bounce = 50 (0.6)

Height of the first bounce = 30 feet

Height of the second bounce = 50 (0.6)²

Height of the second bounce = 50 * 0.36

Height of the second bounce = 18 feet

Height of the third bounce = 50 (0.6) ^3

Height of the third bounce = 50 * 0.216

Height of the third bounce = 10.8 feet

Answer:

Perimeter = 6s + 9 units

Step-by-step explanation:

Perimeter = 2s + 4 + 4s + 2 + 3

                = 2s + 4s + 4 +  2 + 3

                = 6s + 9 units

Answer:

The LCM of 8 and 28 is 56.

Step-by-step explanation:

The least common multiple (LCM) of two or more numbers is the smallest number that is divisible by all the numbers. To find the LCM of two numbers, we list the multiples of each number and find the smallest multiple that is common to both numbers.

For the numbers 8 and 28, the multiples are:

Multiples of 8: 8, 16, 24, 32, 40, ...

Multiples of 28: 28, 56, 84, 112, 140, ...

The LCM of 8 and 28 is 56, since 56 is the smallest multiple that both numbers share. This means that 56 is the smallest number that can be divided evenly by both 8 and 28, and is therefore the LCM of the two numbers.

Answer:

c

Step-by-step explanation:

the maximum value for f(x) is only 8.

Answer:

it's the maximum value is the same for both functions

Answer:

v = 1

Step-by-step explanation:

volume of a cube = side cubed

1 cubed = 1

Answer:

answer is 1 cubic unit

hope this helps

Based on the given insurance plan, if you have a $12,500 hospitalization, you would pay $2,500.

You would pay $2,500.

The $2,500 is equal to the deductible amount specified in the insurance plan. A deductible is the initial amount you need to pay out of pocket before your insurance coverage kicks in. In this case, the deductible is $2,500, so you are responsible for paying that amount.

The $2,500 is the total amount you would pay for the hospitalization. It represents the deductible portion, which you need to cover before the insurance starts sharing the costs with you. After you meet the deductible, the coinsurance comes into effect. The 20% coinsurance means that you would be responsible for paying 20% of the remaining expenses, while the insurance would cover the remaining 80%. However, since the out-of-pocket maximum is $5,200, and your hospitalization cost is $12,500, you would not reach the out-of-pocket maximum in this case. Therefore, you would pay the deductible amount of $2,500.

Learn more about hospitalization

brainly.com/question/28781701

#SPJ11

There are 2520 ways to seat 8 people around a circular table where two seatings are considered the same when everyone has the same two neighbors without regard to whether they are right or left neighbors.

There are a total of seven different ways for eight individuals to sit around a circular table: (8-1)!=7!. We are using the concept of circular permutation.

By using circular permutation we have,

7!=5040

All of the seating is included in these 5040 ways. Given that everyone has the same two neighbors, regardless of whether they are left or right neighbors, two seating are said to be equal. To achieve the desired outcomes, we must divide the total number of methods by 2.

5040/2

=2520 ways

Therefore, there are 2520 ways to seat 8 people around circular table where two seating are considered the same.

To learn more on circular permutation here:

https://brainly.com/question/2855943#

#SPJ4

To determine the landing point, we need to balance the time it takes to row the boat with the time it takes to walk.

The woman's rowing speed is 3 km/h, and her walking speed is denoted as w km/h. Let d be the distance from the island to the landing point, and x be the distance she needs to walk from the landing point to reach the town. The total time for rowing (d/3) should be equal to the total time for walking [(12 - x)/w] in order to arrive at the town.

By rearranging the equation, we find that the landing point should be 12 km minus the distance covered by walking (d * w) divided by 3.

The exact value of x depends on the specific distances involved and the woman's walking speed, which are not provided in the given information.


Learn more about Equation click here :brainly.com/question/13763238

#SPJ11

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

Learn more about Probability click here : brainly.com/question/30034780

#SPJ11

Answer:

r = \(\frac{3}{2}\)

Step-by-step explanation:

The common ratio (r) in a geometric sequence is any term divided by the previous term, that is

r = \(\frac{6}{4}\) = \(\frac{9}{6}\) = \(\frac{3}{2}\)

Answer:

34.33

Step-by-step explanation:

Percentage Calculator: 195 is what percent of 568? = 34.33.

Answer:

1107.6

Step-by-step explanation:

The x-intercepts of an equation are simply the zeros of the equation

The equation \(\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}\) has 4 distinct x-intercepts

The equation is given as:

\(\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}\)

Set the equation to 0; i.e. calculate the zeros

\(\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}\)

Divide both sides by constant b

\(\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}\)

Split the above equation, as follows

\(\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}\)

Solve for x in each of the equation

\(\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}\)

Remove repeated solutions

\(\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}\)

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

Read more about x-intercepts at:

https://brainly.com/question/3951754

(a) To find the probability of correctly answering an individual question by blind guessing, the probability of guessing the correct answer for any given outcome is 1 out of 4, or 1/4 = 0.25.

(b) To calculate the expected number of questions a student will guess correctly on the exam (X), we multiply the probability of guessing a question correctly by the total number of questions.

Expected number of correct answers (X) = Probability of a correct guess * Total number of questions

X = 0.25 * 20 = 5

Therefore, the expected number of questions a student will guess correctly on this exam is 5. Since the student is blindly guessing, there is an average expectation of getting 5 correct answers out of the 20 questions.

Learn more about Probability here

https://brainly.com/question/32560116

#SPJ11

When the number is between 1-4, the number still remains.

When the number is between 5-9, increase or add one.

Answer:

Step-by-step explanation:

1.32

The accurate description of the relation r, where x is related to y if x^2 = y, is as follows: Relation r is a relation that relates each integer x to its square y. In other words, for every integer x in the domain, the relation r assigns the value of y as the square of x.

what is integer?

An integer is a number that can be written without a fractional or decimal component. It includes both positive and negative whole numbers, as well as zero. In mathematical notation, integers are denoted by the symbol "Z" or "ℤ". Examples of integers include -3, -2, -1, 0, 1, 2, 3, and so on. Integers are a fundamental concept in number theory and play a significant role in various areas of mathematics.

To know more about integer visit:

brainly.com/question/490943

#SPJ11

Answers:

=====================================================

Explanation:

The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that \(-4 < x \le 3\). It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).

The interval \(-4 < x \le 3\) then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.

It says: x is between -4 and 3. It can't equal -4 but it can equal 3.

So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.

--------------------------------------------------

The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.

The range as a compound inequality is \(-5 < y \le 5\). This condenses into the shorthand of (-5, 5] which is the range in interval notation.

Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.

Answer:

Hello,

Step-by-step explanation:

Domain(f)= ]-4;3]={x€R | -4<x≤3}

Rang(f)=]-5;5]={y€R | -5< y ≤5}

Answer:

Let x= our first even integer. Therefore our three consecutive even integers are 16 , 18 , and 20

Step-by-step explanation:

Answer:

17+18+19=54

17,18,19

Step-by-step explanation:

52.40-4.80

=47.6

47.6÷4

$11.9

The determinant of the given matrix is \(2a^4bc+2c^4ab+6a^3b^2c+6a^3bc^2+6c^3ab^2+6a^2b^3c+12a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4\)

Determinant of the matrix:

Determinant of the matrix is defined as a scalar value which is associated with the square matrix.

Given,

Here we have the matrix show in the question.

Now, we need to find the determinant of the matrix.

To find the determinant of the matrix we have to do the following steps:

1) First we have to pick any row or column in the matrix. It does not matter which row or which column you use, the answer will be the same for any row or column.

2) After the selection you have to multiply every element in that row or column by its cofactor and add. The result is the determinant.

This process can be elaborated in the following steps:

\(=(b+c)^2 \times ((a+c)^2 \times (a+b)^2 - b^2 \times c^2) -a^2 \times (b^2 \times (a+b)^2 - b^2 \times c^2) +a^2 \times (b^2 \times c^2 - (a+c)^2 \times c^2)\)

When we expand the equation then we get,

\(=(b+c)^2 \times (a^4+2a^3b+2a^3c+a^2b^2+4a^2cb+c^2a^2+2c^2ab+c^2b^2+2acb^2 -b^2c^2) -a^2 \times(b^4+2b^3a+b^2a^2 -b^2c^2) +a^2 \times(b^2c^2 -c^4-2c^3a-c^2a^2)\)

Group the similar terms and arrange them in order,

\(=(b+c)^2 \times (a^4+2a^3b+2a^3c+a^2b^2+4a^2cb+c^2a^2+2c^2ab+2acb^2) -a^2 \times (b^4+2b^3a+b^2a^2-b^2c^2) +a^2 \times (-c^4-2c^3a+b^2c^2-c^2a^2)\)

Again we have to expand it and then we get,

\(= a^4b^2+2a^4bc+a^4c^2+c^4a^2+2c^4ab+2a^3b^3+6a^3b^2c+6a^3bc^2+2a^3c^3+6c^3ab^2+a^2b^4+6a^2b^3c+10a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4 -b^4a^2-2b^3a^3-b^2a^4+b^2c^2a^2 -c^4a^2-2c^3a^3+b^2c^2a^2-c^2a^4\)

After the simplification, the resulting determinant is

\(=2a^4bc+2c^4ab+6a^3b^2c+6a^3bc^2+6c^3ab^2+6a^2b^3c+12a^2b^2c^2+6a^2c^3b+6c^2ab^3+2acb^4\)

To know more about Determinant of the matrix here.

https://brainly.com/question/4470545

#SPJ1

Answer:

What is the question? I am confused?

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

Learn more about vertex of a square here: https://brainly.com/question/23627218

#SPJ1

Answer:

3,696

Step-by-step explanation:

7x24x22 equals 3,696

24x7=168

168x22=3,696

Answer:

8544

Step-by-step explanation:

I multiplied them all 8 x 8.9 x 15 x 8 = 8544

The probability that no two teams win the same number of games is 742.

The number of powers of 2 in 40! is

= (40/2) + (40/4) + (40/8) + (40/16) + (40/32)

= 20 + 10 + 5 + 2 + 1

= 38.

780-38 = 742.

Hence, the probability that no two teams win the same number of games is 742.

To know more about probability check the below link:

https://brainly.com/question/25870256

#SPJ4

Answer:

Step-by-step explanation:

6x+y=88-6. 4=2x-6. 10=2x. (X=5. 14 pm = PN =PL. 4X+7=12x-5. 7=88-5.

Answer:

so make 0.35 a % and add them till it hits 100%

Step-by-step explanation:

Answer:let

Length =L

Width =W

L=5W

Perimeter(p)=2L+2W

P=10W+2W

84=12W

Divide both sides by 12

W=7m

L=5*7=35m

Hence, the length and width are 35m and 7m respectively

Step-by-step explanation:

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

Read more about proportion at:

https://brainly.com/question/16828793

#SPJ12