I need examples of surds

Ruth must have an initial deposit of $12000 in order to have the same simple interest at the same rate within the same time as Carter

Simple Interest (S.I) is the method of calculating the interest amount for some principal amount of money. Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

The formula of simple interest is given as

S.I = PRT

We can set up equivalent equations since both interest are equal.

S.I = P(1 + RT)

S.I = 12000(1 + 0.019 * 1)

S.I = 12228

But since they earned the same interest at the same rate within the same period, their principal or initial amount invested must be equal

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Answer:

X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61

Step-by-step explanation:

Answer:

Step-by-step explanation:

Summation of all angles within a triangle is equal to 180 degrees.

y+61+90=180

Therefore, y = 180-61-90 = 29 degrees

61+x = 90

Therefore, x = 90-61 = 29 degrees

z+90+29 = 180

Therefore, z = 180 - 90 - 29 = 61 degrees

The system of equations with the solution (4, -3) is y = x - 7 and y = 2x - 11.

We are given a point. The coordinates of the point are (4, -3). We need to find a system of equations such that they pass through the given point.

We will use the slope-point form of a line. Let the slope of the equation of the straight line be "m". We need two equations. The general equation of a line using the slope-point form is given below.

(y - y1) = m(x - x1)

We know that both equations must pass through the given point for the solution to exist.

(y - (-3)) = m(x - 4)

(y + 3) = m(x - 4)

We just need to take any two values of the slope of the line.

First, we take m = 1. The corresponding equation is given below.

(y + 3) = m(x - 4)

(y + 3) = 1*(x - 4)

y + 3 = x - 4

y = x - 7

Next, we take m = 2. The corresponding equation is given below.

(y + 3) = m(x - 4)

(y + 3) = 2*(x - 4)

y + 3 = 2x - 8

y = 2x - 11

Hence, the system of equations is y = x - 7 and y = 2x - 11.

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The type of sampling is stratified random sampling

Given that,

The population is first divided into subgroups based on one or more important variables. this sampling is nothing but stratified random sampling

What Is Stratified Random Sampling?

A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata. Strata are established in stratified random sampling, also known as stratification, based on the shared characteristics or attributes of the participants, such as wealth or level of education. Examining life expectancy and population demographics is just one of the many benefits and uses of stratified random sampling. Other names for stratified random sampling are proportional or quota random sampling..

Hence, this sampling is stratified random sampling

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The graph shown has two straight lines and the correct equation is

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

y = output variable

m = slope

x = input variable

c = y intercept

interpretation of the equations

4x + y = 6 ⇒ y = -4x + 6

m = -4

c = 6

from the graph only one the lines has the y intercept as 6, also the slope is negative. the line shown by at option (c) the intercept is 6/4 and the slope is positive

−2x + y = −5 ⇒ y = 2x - 5

m = 2x

c = -5

The c is not showing here but it is moving towards negative. the x intercept is showing and we can use it to confirm

y = 2x - 5

0 = 2x - 5

2x = 5

x = 2.5

this coincides with the point on the graph (2.5, 0)

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The inequality that needs to be solved is:

3t +270/ 6 ≥ 90.

let we consider that Heidi has 6 subjects in her school.

Therefore, She needs to average at least 90 on her three remaining tests to have at least a 90 overall average for all 6 tests.

Now,

To obtain an average first add up all the scores of the tests and then divide by the number of tests.

So far Heidi has taken 3 tests and we know the total number of tests will be 6 so we will be dividing by 6 to get the average of all the score.

If we let each of the three remaining tests each be represent by t, then the sum of all the tests would be:

95 + 92 + 86 + t + t + t

or

273 + 3t

The average of these 6 tests can then be represented by:

3t + 273 / 6

And for her average to be at least 90 then she can get a 90 or more which is the same as ≥ 90

So the inequality that needs to be solved is:

 [tex]\frac{3t + 273}{6}[/tex] ≥ 90

or, [tex]\frac{3 ( t + 91)}{6} \geq 90[/tex]

or, [tex]\frac{t + 91}{2} \geq 90[/tex]

Now, Heidi has to score :

t/2 ≥ 91

or, t/2 ≥ 90

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The expectation of getting correct option out of total choice of 5 question.

Probability is the ratio of number of favorable outcomes to the total number of outcomes.It can not be more than 1.

we have five question each of them has four choice, two out of them are correct.

Number of correct choice in one question = 2

Total number of choice in a question = 4

probability to get correct option of one question = 2/4 = 0.5.

Then the probability of 5 question = 5(0.5) = 2.5

Thus, the expectation of correct choice is 2.5.

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A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right

In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:

Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:

x > 89

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Answer: What do you need the total or the equation? I am going to write the equation.

Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4

Answer:

10.53

Step-by-step explanation:

hope it helps :)

The net worth of Delilah given the assets and liabilities will be $24197.

From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.

It should be noted that the formula to calculate the net worth will be:

= Assets - Liabilities

= $56,326 - $32,129

= $24197

The net worth is $24197.

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The simple regression line is used to estimate the population regression line.

We are asked about, the simple regression line

We have options:

a. is estimated by the population regression line.

b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line.

c. shows the actual (or true) relation between the dependent and independent variables.

d. is used to estimate the population regression line.

e. connects the data points in a sample.

From the above options, Option (d) is the correct one i.e. is used to estimate the population regression line.

The simple regression line is used to estimate the population regression line.

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The sum of three consecutive even numbers is 558, The first number is 184.

The Sum of three consecutive even numbers is 558

We have to find the first number

Let the three consecutive even numbers be:

First number = x

Second number = x + 2

Third number = x + 4

Since their sum is 558

Therefore,

x + x + 2 + x + 4 = 558

3x + 6 = 558

3x = 558 - 6

3x = 552

Divide both sides by 3

Then the first number is 184.

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Answer:

$11.96

Step-by-step explanation:

Now we have to,

→ find 23 percent of $52.

Let's solve the problem,

→ 23% of $52

→ (52/100) × 23

→ 0.52 × 23

→ $11.96

Hence, answer is $11.96.

It is true that statistical output provides a means for creating a picot question.

The letters PICOT stand for patient, intervention, comparison, outcome, and (occasionally) time, which are the components of a clinical research question. A case scenario is used to frame the question in the PICOT process in order to elicit an answer. A PICOT question's main objective is uncomplicated: It is a mechanism for determining the keywords to use when looking for the strongest evidence to address a pressing clinical question. In other words, the search plan is the PICOT question. The search strategy produces an objective and successful search.

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Answer:

  a(n) = 10 -3n

Step-by-step explanation:

You want the explicit formula for the sequence recursively defined by a(1)=7, a(n)=a(n-1) -3.

The recursion relation tells you that each term is 3 less than the one before. That is, the common difference between terms is -3.

A sequence with a common difference is an arithmetic sequence. The formula for the n-th term is ...

  a(n) = a(1) +d(n -1)

where a(1) is the first term and d is the common difference.

The first term is given by the recursive definition as 7. Then the explicit formula is ...

  a(n) = 7 -3(n -1)

This can be simplified to ...

  a(n) = 10 -3n

The solution of the given inequality is when the value of x is greater than or equal 2.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given expression is 3(x-3) -5 (3x-2)≤ 25.

Therefore, the given inequality can be solved as,

3(x-3) - 5(3x-2) ≤ 25

3x - 9 - 15x + 10 ≤ 25

-12x + 1 ≤ 25

-12x ≤ 25 - 1

-12x ≤ 24

x ≥ 2

Hence, the solution of the given inequality is x ≥ 2.

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Answer:

x=0

Step-by-step explanation:

it is a straight line on the y axis making x=0

Answer:

2 : 45

Step-by-step explanation:

As per the unitary method, the cost of 8 bottles is $6.48

Unitary Method:

Unitary method is the way of solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15.

Here we need to find the if each bottle costs the same amount, how much is 8 bottles of juice.

Let x be the cost of one bottle.

so, based on the unitary method we can written the situation as,

15 bottles = costs $12.15

Therefore, the cost of one bottle is.

x = 12.15/15

x = 0.81

So, the cost of 8 bottle is calculated by multiplying the cost of one bottle with 8,

Then we get,

=> 8 x 0.81

=> 6.48

Therefore, the cost of 8 bottles is $6.48

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ann made a rectangle with the

right perimeter & area

ann doesn't try any other

rectangles to see if their areas are

different.

splitting the land , ann confuses perimeter and area

mapmathshellorg

The probability that the price of the used car is less than $65 is 0.55962.

Here it is given that the price of the used car has a mean of $50 and a variance of $100.

Since it follows normal distribution X~N(μ, σ²)

where,

μ = 50

σ = 100

Here we need to find the probability P(X < 65)
To find this we need to convert the distribution to the standard normal form, N~(0, 1)

We know,

P(X < (x - μ)/ σ) = Φ(Z)

Therefore we get

P(X < (65 - 50)/ 100)

Solving this we get the Z value

= Φ(0.15)

From the Z table, we can get our p-value.

= 0.55962

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Answer:

y = [tex]\frac{7}{2}[/tex] x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{7}{2}[/tex] x + 6 ← is in slope- intercept form

with slope m = [tex]\frac{7}{2}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation of line h

to find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 7 + c ⇒ c = - 3 + 7 = 4

y = [tex]\frac{7}{2}[/tex] x + 4 ← equation of line h

Answer:

first and third

Step-by-step explanation:

the equation representing direct proportion is

y = kx ← k is the constant of proportion

y = - 4x is in this form with k = - 4

y = 7x is in this form with k = 7

The probability that a young adult chosen at random will achieve an IQ between 85 and 160 is 0.8185.

The problem states that;

A typical IQ test result for individuals between the ages of 20 and 34 has a mean of 110 and a standard deviation of 25, and the values are regularly distributed.

To get the probability that a randomly selected young adult will score between 85 and 160 on this IQ test.

Let,

P(85 < x < 160) = P[ (85 - 110)/ 25) < (x - μ) / σ < (160 - 110) / 25) ]

                        = P(-1 < z < 2)

                        = P(z < 2) - P(z < -1)

                        = 0.9772 - 0.1587

                        = 0.8185

Therefore, the probability that a randomly selected young adult will score between 85 and 160 on this IQ test is 0.8185.

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The expression is 2z+0.67

From the question, we have

During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%.

z-35%+z-32%

=z-7/20+z-8/25

=2z+0.67

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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Answer:

50 mins: 1 and a 1/2 hours

Answer:

9:5

Step-by-step explanation:

1.5 hours is equivalent to 90 minutes (60 x 1.5)

so it's a ratio of 90:50

this can be simplified to a ratio of 9:5 by dividing both sides by their shared factor of 10