Carla has $1560 in a savings account that pays 2.5% simple interest. How much interest is earned in 3 years? b) How much money is in her savings account at the end of 3 years?

plz show work

Answer:

8 questions.

Step-by-step explanation:

100 - 2x = 84

-2x + 100 = 84

-x + 50 = 42

x - 50 = -42

x = 8

Trevor answered 8 questions incorrectly.

Hope this helps!

Answer:

8

8Step-by-step explanation:

100-2x=84

subtract 84 from both sides

16-2x=0

add 2x to both sides

16=2x

divide both by 2 to get x

x=8

hope this helped

Answer:

1 1/6

Step-by-step explanation:

1 2/3 - 1/2 =

1 2/3 = 1 4/6

1/2 = 3/6

1 4/6 - 3/6 =

1 1/6

Check the picture below.

\(2a=8\sqrt{2}\implies a=\cfrac{8\sqrt{2}}{2}\implies a=\cfrac{8}{\sqrt{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 45-45-90 rule}}{a=x\sqrt{2}\implies} \cfrac{8}{\sqrt{2}}=x\sqrt{2}\implies \cfrac{8}{\sqrt{2}\cdot\sqrt{2}}=x\implies \cfrac{8}{2}=x\implies \boxed{4=x}\)

a. The scatter diagram indicates that the Number of Defective Parts found increases with Line Speed

b. The regression model is Y = 27.5 - 0.3·X

c. When the line speed is 25 feet per minute, the number of expected defective parts is 20 defective parts.

According to the Question:

The give data is presented as follows'

Line Speed;                   20,   20,    30,    30,    40,    40,    50,     50

Number of Defective;   23,    21,     19,     16,     15,     17,     14,       11  

Now,

1. From the scatter diagram there is an apparent correlation between increase line speed and the number of defective parts found.

2. The equation for linear regression by the least squares method is presented as follows;

   Y = a + b·X

Where;

b = N ∑XY - (∑X) (∑Y) / N ∑X² - (∑X)²     -------------------- (1)

and

a = ∑Y - b ∑X / N                          ---------------------------- (2)

Now, after calculation, we have;

∑X = 280, ∑Y = 136, ∑X² = 10,800, ∑XY = 4,460, (∑X)² = 78,400, N = 8

Putting in equation (1) and (2), we get;

b = (8×4460 - 280×136) / (8×10,800 - 78,400) = -0.3

and,

a = (136 - (-0.3)×280)/8 = 27.5

Therefore, we have the linear regression as follows;

                 Y = 27.5 - 0.3·X

Therefore, when the line speed is 25 feet per minute, we have;

Y = 27.5 - 0.3 × 25 = 20

The number of defective parts expected to be found when the line speed is 25 feet per minute, Y = 20 defective parts.

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❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

RS || UT , SU oblique

Thus :

\(y = 45\)

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Based on the provided information, we need to perform a hypothesis test to determine if the sample data support the conclusion that the treatment has a significant effect.

To determine if the treatment has a significant effect, we can conduct a hypothesis test. The null hypothesis (H0) states that there is no significant effect, while the alternative hypothesis (H1) suggests that there is a significant effect.

In this case, the sample size (n) is 16, and the sample mean (X-bar) is 28. The population mean (µ) is known to be 20. We can calculate the test statistic using the formula:

\(t = (X-bar - µ) / (s / sqrt(n))\)

where s is the sample standard deviation. However, the sample standard deviation is not provided in the given information.

With the given information, it is not possible to perform the hypothesis test and determine if the treatment has a significant effect. To draw a conclusion, we would need the sample standard deviation or additional information about the variability of the data.

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We can prove that if a and b are positive integers, then there is a smallest positive integer of the form a − bk, where k ∈ z. Let x = a − bk be a positive integer, where k ∈ z.

Assume that x is not the smallest such positive integer, so there exists a y < x that can be expressed as a − bm, where m ∈ z. We can then express y as y = a − bm = a − b(k + (m − k)).

We know that m - k is an integer, and since b > 0, this means that a − b(k + (m − k)) < a − bk, which is a contradiction, since we assumed that x was the smallest such positive integer. Therefore, x must be the smallest positive integer of the form a − bk, where k ∈ z.

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Answer:

if JK is tangent that means it creates 90° with X that is the ray of the circonference.

to find X first you have to find L and to do so you use the inverse of pythagorean theorem cause you have the hypotenouse :

sqr( 25^2-1^2) = 24.97

now divide by 2 and you have 12.49

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer: the answer is 2

Step-by-step explanation:

Answer:

the answer is more than 47 *thumbs up*

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

hope this helps

The seasonalized sales for this period when the deseasonalized sales are 2,889.00 units and the seasonal index for this period is 1.70 is 4911.30.

There are two types of sales numbers: seasonalized sales and deseasonalized sales. Deseasonalized sales are the revenues of a business that have been adjusted for seasonal fluctuations. The value of seasonalized sales is then adjusted by the seasonality factor to determine the seasonalized sales for the period.

This adjustment enables businesses to compare their performance in different periods of the year without being influenced by seasonal fluctuations. This makes it easier to compare performance over time.

Therefore, the formula to calculate the seasonalized sales is;

Seasonalized sales = Deseasonalized sales * Seasonal index= 2889 * 1.70= 4911.30

Therefore, the seasonalized sales for this period when the deseasonalized sales are 2,889.00 units and the seasonal index for this period is 1.70 is 4911.30.

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To determine which gym membership is more cost-effective, you would need to compare the total cost for a given period. Let's consider a time frame of one month.

For Gym A, the monthly payment is $50. This means that regardless of how many times you visit the gym, you will pay a fixed amount of $50 each month.

For Gym B, the cost is $10 per visit. To calculate the total cost for a month, you need to estimate the number of times you plan to visit the gym in that period. Let's assume you plan to visit the gym 10 times in a month.

The total cost for Gym B would then be calculated as:

Total Cost for Gym B = Number of Visits * Cost per Visit

Total Cost for Gym B = 10 visits * $10 per visit

Total Cost for Gym B = $100

Comparing the total costs, we find that for Gym A, the monthly payment is $50, and for Gym B, the estimated cost for 10 visits is $100. In this case, Gym A would be the more cost-effective option if you plan to visit the gym at least 10 times in a month. However, if you anticipate visiting the gym less than 10 times in a month, Gym B might be the more affordable choice.

By using basic arithmetic to calculate the total costs based on the given pricing structures, you can make an informed decision regarding the gym membership that fits your budget and lifestyle.

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Answer:

no solution

Step-by-step explanation:

|x|+4=-9

Solving an absolute value equation

Subtract 4 from each side

|x|+4-4=-9-4

|x|=-13

Since |x| must be non-negative, there is no solution

To form a polynomial with given zeros and degree, we need to use the fact that if a polynomial has a zero of x = a, then it can be factored as (x - a) times some other polynomial.

This means that if we know the zeros of a polynomial, we can write it in factored form, and then multiply out the factors to get the polynomial in standard form.

The degree of the polynomial tells us how many factors are necessary. For example, if the degree is 3, we know that the polynomial can be factored into three linear factors, one for each zero.

To illustrate this process, let's say we want to form a polynomial of degree 4 with zeros of x = 2, x = -1, and x = 3. We would start by writing the polynomial in factored form as:

f(x) = (x - 2)(x + 1)(x - 3)(ax + b)

Since the degree is 4, we need to include one more factor. We can use the coefficients a and b to determine this factor. To do so, we can either use the value of the leading coefficient (which is a in this case) or a point on the polynomial (i.e., a value of x and f(x)).

Once we have determined the value of a, we can solve for b by setting a point on the polynomial equal to a known value.

Finally, we can multiply out the factors to get the polynomial in standard form:

f(x) = (x - 2)(x + 1)(x - 3)(2x - 4)

f(x) = 2x^4 - 8x^3 - 13x^2 + 22x - 12

In conclusion, to form a polynomial with given zeros and degree, we need to use the fact that a polynomial can be factored as (x - a) times some other polynomial if it has a zero of x = a.

We can write the polynomial in factored form, determine the missing factor(s) using the degree and coefficients, and then multiply out the factors to get the polynomial in standard form.

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Answer:

x = 1/2

Step-by-step explanation:

y = 7x+5

y = 9x+4

7x+5 = 9x+4

1=2x

x = 1/2 = 0.5

Answer:

1. \(x = - \frac{5}{7} \)

2. \( x = - \frac{4}{9} \)

Step-by-step explanation:

\(y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5\)

\(\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} \)

\(y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4\)

\( \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}\)

Answer:

i believe it is 38.3 degrees but im, not 100% sure

Step-by-step explanation:

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

\(4s=24\)

Therefore, the required equation is \(4s=24\).

Divide both sides by 4.

\(s=\dfrac{24}{4}\)

\(s=6\)

Therefore, the number of seats in each car is 6.

Answer:

Step-by-step explanation:

the slope is uphill.. so we know it's positive

I can also see that that it's 1 up and 1 over so the slope is 1

the line also hits at -9   on the y axis

so

y = x - 9

(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.

(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.

(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.

(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.

(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.

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Let's start by finding out how much cranberry juice is currently in the 30 oz. mixture. If the mixture is 40% cranberry juice, then the amount of cranberry juice in ounces is:

0.4 x 30 = 12 oz.

We want to end up with a 30 oz. mixture that is 20% cranberry juice. So the amount of cranberry juice in ounces we need in the new mixture is:

0.2 x 30 = 6 oz.

To achieve this, we need to remove some of the original mixture, which contains 12 oz. of cranberry juice, and replace it with seltzer, which contains 0 oz. of cranberry juice. Let's say we remove x oz. of the original mixture.

The amount of cranberry juice left in the mixture after we remove x oz. is:

12 - x

The amount of seltzer left in the mixture after we remove x oz. is:

30 - x

If we replace the x oz. of mixture we removed with seltzer, the amount of cranberry juice in the new mixture is:

12 - x + 0 = 12 - x

And the amount of seltzer in the new mixture is:

30 - x + x = 30

We want the new mixture to contain 6 oz. of cranberry juice, which is 20% of the total 30 oz. So we can set up an equation:

(12 - x) / 30 = 0.2

Simplifying this equation, we get:

12 - x = 6

x = 6

So we need to remove 6 oz. of the original mixture and replace it with 6 oz. of seltzer to end up with a 30 oz. mixture that is 20% cranberry juice.

Answer:

Below

Step-by-step explanation:

The Answer Will Be 6 Percent.

Answer: The hours  money earned by peter is 88$

The dimensions of the rectangle are 8cm by 16cm

Remember that for a rectangle of length L and width W, the perimeter is.

P = 2*(L + W)

Here we know that:

L = 2*W

And that the perimeter is 48cm, so:

48cm = 2*(L + W)

So we have a system of equations:

L = 2*W

48cm = 2*(L + W)

Replacing the first equation in the second one, we will get:

48 cm = 2*(2W + W)

48cm = 6W

48cm/6 = W

8cm = W

And the length is:

L = 2W = 2*8cm = 16cm

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Answer:

12i

Step-by-step explanation:

2i×2i=4i

4i×3i=12i

Answer:

15

Step-by-step explanation:

mean means add all the numbers and divide them by how many there are

plot 1: 63 divided by 9 equals 7

plot 2: 330 divided by 15 equals 22

so now we need to subtract 22 minus 7 equals 15

hope this helps

Answer:

15

Step-by-step explanation: you have to add all of the numbers and then divide the answer by the number of numers you added

Answer: 8/5

Step-by-step explanation:

2/5 * 4 = (2*4)/5 = 8/5

Answer:

1/10

Step-by-step explanation:

2/5÷1/4=2/5×4/1=2/5×4/1=1/10

The option C is correct answer which is there is a 5% chance that the true likelihood of an unsatisfied customer will be less than 0.077 or greater than 0.138.

What is unsatisfied customer?

Consumer customers are "an expression of dissatisfaction on a consumer's behalf to a responsible party," according to the dictionary. It can also be positively stated as a complaint from a customer who provides proof of a fault with a good or service.

As given,

95% confidence interval gives you 95% confident that unsatisfied customer is in between 0.077 to 0.138.

that means 5% chance that unsatisfied customer is not between intervals.

So, we can say 5% chance that true likelihood of an unsatisfied customer will. be less than 0.077 or greater than 0.138.

Hence, the option C is correct answer.

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The weighted average price per square foot of the five offices owned by Weyland Corp is 77.72.

Building Price per square ft ($) Number of sq. ft Building 1 75 and 125,000, Building 2 85 and 37,000, Building 3 90 and 77,500, Building 4 45 and 35,000, Building 5 50 and 40,000. Now, the formula to calculate weighted average price per square foot is,

Weighted Average Price per square foot = [ (Price per sq. ft of Building 1 * Number of sq. ft of Building 1) + (Price per sq. ft of Building 2 * Number of sq. ft of Building 2) + (Price per sq. ft of Building 3 * Number of sq. ft of Building 3) + (Price per sq. ft of Building 4 * Number of sq. ft of Building 4) + (Price per sq. ft of Building 5 * Number of sq. ft of Building 5) ] / Total sq. ft of all buildings.

Applying the values in the formula,

Weighted Average Price per square foot = [(75 * 125000) + (85 * 37000) + (90 * 77500) + (45 * 35000) + (50 * 40000)] / (125000 + 37000 + 77500 + 35000 + 40000)= [9375000 + 3145000 + 6975000 + 1575000 + 2000000] / 297500= 23092500 / 297500= 77.72

Therefore, the weighted average price per square foot of the five offices owned by Weyland Corp is 77.72.

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