A client’s child will be attending college in 6 years. Assume current tuition and fees are $47,595, and inflation for college costs averages 1.6 percent, and she can earn 8.7 percent on the money she invests for this
purpose. The client wants to know how much she will need to set aside today to pay four years of tuition and fees.

Answer:

1  3/15 - 5/15

Step-by-step explanation:

Hope this helps. PS the / sign is supposed to be for the fraction.

Step-by-step explanation:

1 1/5 - 1/3 = 0.86

Hope I helped. The only way I know how to dot this is in decimal form sorry.

Answer:

Required

1. What is the break-even point in tickets?

2. How many tickets must be sold to earn a profit of $30,000?

3. How many tickets must be sold to earn a profit of $100,000?

Step-by-step explanation:

We are given the following system of equations:

1. We will add equation (1) and equation (2), we get:

Now we add like terms:

We get a new equation which we called equation (4).

2. Now, we will add equation (2) and equation (3), we get:

Now, we add like terms:

We get a new equation that we called equation (5).

3. equation (4) and equation (5) form a new system of equations:

To solve the system we will subtract equation (5) from equation (4), this way we will be able to cancel out the variable "z". Like this:

Now, we add like terms:

Therefore, the value of "y" is -3.

Now, we substitute the value of "y" in equation (4), we get:

Solving the product:

Now, we add 9 to both sides:

Therefore, we have the following values from the new system:

4. To determine the values of the original system we will substitute the values of "y" and "z" in equation (1):

Solving the operations we get:

Now, we will add 8 to both sides:

Now, we will divide both sides by 3:

Therefore, the solution of the system is:

If sides are

\(\\ \sf\longmapsto Perimeter=Sum\:of\:sides\)

\(\\ \sf\longmapsto Perimeter=9+4.5+12\)

\(\\ \sf\longmapsto Perimeter=13.5+12\)

\(\\ \sf\longmapsto Perimeter=25.5cm\)

\( \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}\)

\(\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm\)

\(\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm\)

\(\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm\)

Hence , the perimeter of triangle is 25.5 cm

Answer: =7

Step-by-step explanation:

Answer:

a) Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium

b) The point estimate of the difference is  59 $

Step-by-step explanation:

From sample we get:

sample size    n  =  25

annual mean   x  =  1440

standard deviation of the sample   s  =  150

mean for the mean annual premium    μ  = 1499

Hypothesis Test:

Null Hypothesis                      H₀           x  =   μ

Alternative Hypothesis          Hₐ           x  <   μ

Alternative Hypotesis indicates that the test is a one-tail test to the left

Let´s assume  confidence Interval 95 %    then  α  =  5 %   α = 0.05

As  n < 30 and we assume normality we will make a t-student test

degree of freedom    df  =  n  -  1    df  = 24

With df = 24  and  α = 0.05 and from t-student table we get t(c) =  - 1.711

To calculate t(s) we apply:

t(s)  =  (  x  -  μ ) / s/√n

t(s)  =  ( 1440  -  1499 ) * 5 / 150

t(s)  =  - 59/ 30

t(s)  =  - 1.96

Comparing t(s)  and t(c)  

|t(s)| > |t(c)|

Then, t(s) is in the rejection region. We can not support that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

b) The point estimate for the difference is :   x  - μ  =  59 $

Answer:

A and E

Step-by-step explanation:

edge 2021

Answer:

Option A and E are the correct answers.

Answer:

17degrees

Step-by-step explanation:

The sum of two supplementary angles is equation 180degrees. Hence:

5x+95 = 180

5x = 180-95

5x = 85

x = 85/5

x = 17

Hence the value of x is 17

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

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Answer:

80 miles per hour

Step-by-step explanation:

To find her speed in miles per hour, multiply 20 by 4.

Since she drove 20 miles in 1/4 of an hour, we can find the amount she can drive in 1 full hour by multiplying it by 4.

20(4)

= 80

So, her rate in miles per hour is 80 miles per hour

Answer:

80 mph

Step-by-step explanation:

20 miles multiplied by 4(quarters of the hour) is 80mph

Therefore, **x < 7** is the inequality that may be utilized to find x

A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).

For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".

Let x represent how many days the client paid for pet sitting.

$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.

We are aware that the customer's purchase was under $125. Consequently, we can write:

20 + 15x < 125

Putting this disparity simply:

15x < 105

x < 7

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Answer:

give us a more zoomed out picture

Step-by-step explanation:

The second coordinate of the given first coordinate is determined as;

f(0) = 1 and (1) = 0.7.

The second coordinate of the given first coordinate is calculated by applying the following method as follows;

The given function;

F(x) = 0.7ˣ

The value of f(0) is calculated as;

f (0) = 0.7⁰  = 1

The value of f(1) is calculated as;.

f (1) = 0.7¹ = 0.7

Thus, the second coordinate of the given first coordinate is determined by applying the appropriate substitute of the function as shown above.

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Answer:

1130

Step-by-step explanation:

1109+7 = 1116

1116+7 = 1123

Adding 7 each time

1123+7 = 1130

Answer:

x= 105 also because it's a z angle

y= 180-105

=75

x=z which is 105, because they are alternative angles.

The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.

Z = 180-105 = 75 degrees

Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees

Angle y and 105 are supplementary angles and when added equal 180

Angle y is 180-105 = 75

X, y and z are all 75 degrees

The degree of a polynomial is the value of the greatest exponent associated to it. Therefore, the degree of the given polynomial is 6.

Answer: x = 1

Step-by-step explanation:

2log(x+1) - log (x+3) = log 1

log(x+1)^2 - log (x+3) = log 1

log [(x+1)^2 / (x+3)] = log 1

(x+1)^2 / (x+3) = 0

(x+1)^2 = 0

x = 1 or x = -1 (rejected, as log0 does not exist)

Note that in the prompt above, the value of x is given as: 16°

To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.

As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

In ΔAOB

OA =  OB = R, the radius of the circle O,

therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.

Thus, ∠OAB = ∠OBA = 53°

Sum of all the angles of a triangle = 180°

∠O + ∠AOB + ∠OBA = 180°

We know ∠AOB = ∠OBA, therefore,

∠O + 2(∠AOB) = 180°

∠O + 2(53°) = 180°
∠O = 180 - 106

∠O = 74°

In ΔOBC,

BC is the tangent to the circle O, therefore,

∠OBC = 90°

Sum of all the angles of a triangle = 180°

∠O + ∠OBC + ∠OCB = 180°

74° + 90° + ∠OCB = 180°

∠OCB = 180° - 74° - 90°

∠OCB = 16°

Hence, the value of x is 16°.

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In my community, there are several situations where hypothesis testing can be applied. Here are three examples: Traffic Flow Optimization, Recycling Program Assessment, and Crime Prevention Strategy Evaluation

For the purpose of this response, let's choose Situation 1 (Traffic Flow Optimization) and go through the four steps.

1. Problem Statement: The local authorities want to determine if implementing a new traffic signal timing system will significantly reduce the average travel time for commuters passing through a busy intersection during peak hours.

2. Null Hypothesis (H0): The new traffic signal timing system has no effect on the average travel time for commuters passing through the intersection.

Alternative Hypothesis (H1): The new traffic signal timing system significantly reduces the average travel time for commuters passing through the intersection.

3. Level of Significance: α = 0.05

4. Rejection Region: The rejection region will depend on the specific test statistic used. Let's assume we are using a t-test to compare the mean travel time before and after implementing the new traffic signal timing system. In this case, we would calculate the t-statistic and determine the critical value(s) based on the degrees of freedom and the chosen level of significance. The rejection region would be in the tails of the t-distribution corresponding to the critical value(s).

Possible Type I Error: Rejecting the null hypothesis when it is actually true, indicating that the new traffic signal timing system is effective when it is not. In this case, it would mean concluding that the new system significantly reduces travel time when, in reality, it has no effect.

Possible Type II Error: Failing to reject the null hypothesis when it is actually false, indicating that the new traffic signal timing system is ineffective when it is actually effective. In this case, it would mean not detecting a significant reduction in travel time when the new system does indeed have a positive impact.

It's worthy of note that the specific test statistic and rejection region may vary depending on the nature of the data and the chosen statistical test. The above steps provide a general framework for conducting hypothesis testing in the given situation.

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Answer:

the first one means that any number bigger than 5 whereas 2x=10 means that x can either be a positive or a negative value

Step-by-step explanation:

Answer:

Step-by-step explanation:

             y = 4x - 3

              y = 4x - 3

               y = 4x - 3

We can clearly see that our results match with Option A. Hence, Option A is the correct answer.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

x = 0

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

-x-2-2x = -2x-2

-3x-2 = -2x-2

-3x+2x = -2+2

x = 0

Answer:

Step-by-step explanation:

-(x + 2) – 2x = -2(x + 1)

=> - x - 2 - 2x = -2x - 2

=> - 2 + 2 = - 2x + 2x + x

=> 0 = x or x = 0 (Ans)

Answer:

1) 990

2) I would have gone to the same shop and returned the extra money to the shopkeeper.

1) cost per book= Rs 78

cost of 60 books= Rs 60×78 = Rs 4680

selling price per book= Rs 78-12 = Rs 66

selling price of 60 books = Rs 66×60 =

Rs 3960

now difference = 4680-3960 = Rs 990

2) I would have returned the money to the shopkeeper as they have earned the money by using their effort and if we try to take their money away from them then their might be some problems. So we should respect their effort and return extra money if we get it.

The value of x is 5.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔKLM ≈ ΔKQP

This means,

KL/KQ = KM/KP

(3x - 1) / 7 = 8/4

Cross multiply.

3x - 1 = 2 x 7

3x - 1 = 14

3x = 14 + 1

Divide both sides with 3.

3x = 15

x = 5

Thus,

x is 5.

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