Find the simple interest on $2,219 principal, deposited for 6 years at a rate of 1.91%

Answer: x=5 and 1/2

Step-by-step explanation:

You have to go to a graph and put it simply it, makes it a lot easier, hope this helps!

Steps to solve:

2x^2 + 5 = 11x

~Subtract 11x to both sides

2x^2 - 11x + 5 = 0

~Factor

(2x - 1)(x - 5) = 0

~Solve each factor

2x - 1 = 0

2x = 1

x = 1/2

x - 5 = 0

x = 5

Best of Luck!

Saving for a down payment was worth it for Isabel. It reduces the total amount paid for the car by lowering the loan amount, resulting in less interest paid over time.

When evaluating whether saving for a down payment on a car was worth it for Isabel, we need to consider the difference in the total amount paid for the car in two scenarios: with a down payment and without a down payment. Let's analyze the two scenarios to make a judgment.

Scenario 1: With a down payment

In this scenario, Isabel saved up and made a down payment on the car. As a result, her monthly loan payment fits within her budget. By making a down payment, she reduces the principal amount borrowed and, subsequently, the interest charged on the loan.

The benefits of saving for a down payment include:

Lower loan amount: By making a down payment, Isabel reduces the total amount borrowed from the lender.

Reduced interest: With a lower loan amount, the interest charged on the loan is also reduced.

Shorter loan term: A down payment can help Isabel secure a shorter loan term, reducing the overall interest paid over time.

Scenario 2: Without a down payment

In this scenario, Isabel does not make a down payment and finances the entire purchase price of the car. As a result, her monthly loan payment may be higher, as she is borrowing a larger sum and potentially paying more interest over the loan term.

The drawbacks of not saving for a down payment include:

Higher loan amount: Without a down payment, the entire purchase price is financed, leading to a higher loan amount.

Increased interest: With a higher loan amount, more interest may accumulate over the loan term, resulting in a higher total cost of the car.

By comparing the two scenarios, we can assess the impact on the total amount paid for the car. Generally, having a down payment reduces the loan amount, decreases interest charges, and may result in a shorter loan term. This, in turn, can lead to substantial savings in the long run.

To determine the exact difference in the total amount paid for the car in each scenario, we would need specific details such as the purchase price of the car, the interest rate, and the loan term. With these figures, we could calculate the total cost of the car, including interest, in both scenarios and compare the results. Based on this analysis, we can then determine if saving for a down payment was worth it for Isabel.

In conclusion, saving for a down payment on a car can offer financial benefits such as lower loan amounts, reduced interest charges, and potentially shorter loan terms. Considering the potential cost savings and improved financial stability, it is generally advisable for Isabel to save for a down payment, making it worth the effort and consideration.

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Question

The down payment makes the monthly loan payment fit into Isabel's budget. Besides this benefit, do you think saving for a down payment on the car was worth it for Isabel? Use each monthly payment with and without a down payment) to find the difference of the total amount paid for the car in each scenario to justify your answer.

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Answer:

A 27.3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-2)/(-9-(-5))

m=8/(-9+5)

m=8/-4

m=-2

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Answer:

(D)Equilateral Triangle

Step-by-step explanation:

Given a circle centre M; and

The measure of major arc JL = 300 degrees

The triangle formed by radii ML and MJ and chord JL is Triangle JLM.

Since ML=MJ (radii of a circle), the base angles are equal.

Therefore:

\(\angle MLJ= \angle MJL\\\angle LMJ =60^\circ\\$Therefore:\\\angle LMJ+2\angle MLJ=180^\circ\\60^\circ+2\angle MLJ=180^\circ\\2\angle MLJ=180^\circ-60^\circ\\2\angle MLJ=120^\circ\\\angle MLJ=60^\circ\)

We can see that all the angles of triangle JLM are 60 degrees, therefore Triangle JLM is an Equilateral Triangle.

De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.

Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.

En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.

Nota: Esta pregunta está incompleta. Aquí está la información completa:

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Answer:

Ok hello my name is Christopher and I have already done this and the answer is (6,-7)

Step-by-step explanation:

Answer:

-1.5

negative and negative

Step-by-step explanation

the number line shows 3 * -1.5 = -4.5

the number line shows three groups of a negative number, which results in a negative.

Answer:

-1.5,

the number line shows three groups of a negative number, which results in a positive

Answer:

20000*4*5/100=4000

Step-by-step explanation:

Hope this helps!

Answer:

x= 4/5 or x = -2

Step-by-step explanation:

Step 1: Subtract -6x from both sides.

5x^2 -8 - -6x = -6x -6x

5x^2 + 6x - 8 = 0

Step 2: Factor left side of equation.

(5x - 4) (x + 2) = 0

Step 3: Set factors equal to 0.

5x - 4 = 0 or x + 2 = 0

Hense the Answer is x= 4/5 or x = -2

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

Answer:

5: 40.6

6: 26.57

7: 22.21

8: 66.35

Step-by-step explanation:

I am going to assume that you know

SOH CAH TOA (if you don't just ask)

For 5: we have the adjacent and opposite side, we need the angle

I think here it's easiest to use TOA

so we have

tanx=60/70

take the arctan or tan^-1 and get

arctan(60/70)=x x= 40.6

For number 6 it's just the same deal

tanx=10/20

arctan(10/20) =x =26.57

For number 7 we have the adjacent side and we need to find the oppsoite side

for this I will once again use TOA

tan(48)=x/20

20tan(48)=x=22.21

For number 8 it's the same deal as 7

tan53=x/50

50tan53=x=66.35

Answer:

The circumference of the​ circle is \(C=56.55 \:m\).

Eugene confused the radius with the diameter to find the circumference of the circle.

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle.

The circumference of a circle is found using this formula:

\(\begin{matrix} C=\pi \cdot d\\or\\ \, C=2\pi \cdot r \end{matrix}\)

From the information given the diameter of the circle is 18 m. Therefore, the circumference of the​ circle is

\(C=\pi \cdot d\\\\C=3.14 \cdot 18 \approx 56.55 \:m\)

Eugene used the wrong formula to find the circumference of a circle.

\(C=2\cdot(3.14)\cdot 18=113.04 \:m\)

He confused the radius with the diameter.

Answer:

Eugene used the wrong formula to find the circumference of a circle.

He confused the radius with the diameter.

Step-by-step explanation:

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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According to the table, the solutions to the system of equations are x = 0 and x = 1.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

\(y_1 = 0.25^x\)

\(y_2 = -0.75x + 1\)

The solutions are the values of x for which:

\(y_1 = y_2\)

Looking at the table, the solutions to the system of equations are x = 0 and x = 1.

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Answer:

divide by 2

Step-by-step explanation:

because if you subtract 4 -8 =you would get 4then 4-4=0 so eliminate subtract 4 and you can tell the number isnt going higher so you wouldnt add or multiply your welcome

The equatiοns οf the asymptοtes fοr g(x) = 3tan(2x) x = -π/8, π/8, 3π/8, 5π/8, and 7π/8.

The asymptοte is a line οr curve that a functiοn apprοaches but never crοsses as the independent variable gets clοser tο a specific number οr infinity. A line οr curve that the graph οf a functiοn apprοaches steadily but never meets is referred tο as an asymptοte.

The fοllοwing is the expressiοn fοr the vertical asymptοtes οf the functiοn g(x) = 3tan(2x):

x = (2n + 1)π/4

where n is an integer.

This is because the tangent function approaches infinite when 2x is an odd multiple of \(\pi\)/2,

The tangent function, on the other hand, has vertical asymptotes at odd multiples of \(\pi\)/2.

So the vertical asymptotes of g(x) in the range of x = [-90°; 90°] are:

x = -π/8, π/8, 3π/8, 5π/8, and 7π/8.

Examining the behavior of the tangent function as x approaches positive or negative infinity can reveal the horizontal asymptotes of the function g(x) = 3tan(2x).

As x approaches odd multiples of /2, the tangent function oscillates between positive and negative infinity, so no horizontal asymptotes exist.

As a result, in the given range, the formulae for the vertical asymptotes of the function g(x) = 3tan(2x) are:

x = -π/8, π/8, 3π/8, 5π/8, and 7π/8.

Therefore, no horizontal asymptotes exist.

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Answer: The distance between W and X

if it helps, jump from the dash under W to the next dash until you get to X, you'll get 5 units

Hope this helps you and I hope you have a nice day :)

Answer:

Answered By Unish ©

Verified Answer ✅

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Step-by-step explanation:

To determine the new price of diesel, we need to apply the ratio 5:3 to the current price of R20,00 per litre.

To do this, we can first find the total number of parts in the ratio, which is 5+3=8.

Then, we can divide the current price by 8 to get the value of 1 part of the ratio, which is:

R20,00 ÷ 8 = R2,50

Next, we can multiply the value of each part in the ratio by its corresponding factor:

5 parts × R2,50 = R12,50

3 parts × R2,50 = R7,50

Finally, we can add these values to get the new price:

R12,50 + R7,50 = R20,00

Therefore, the new price of diesel after the increase in the ratio 5:3 is R20,00 per litre, which is the same as the original price.

Answer:

z= - 5 √ 38

Step-by-step explanation:

take the root of both sides

or

you can factor each set and make them equal to zero

Answer:

5 3/4 hrs

Step-by-step explanation:

distance ÷ speed = time

276 ÷ 48 = 5.75

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

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Answer:7/5

Step-by-step explanation:

Pascal's triangle is a way of organizing the coefficients in the binomial expansion, \((a+b)^n\):

n = 0   =>  1

n = 1    =>  1   1

n = 2   =>  1   2   1

n = 3   =>  1   3   3   1

n = 4   =>  1   4   6   4   1

and so on, where each row starts and ends with a 1, and the numbers in the middle are obtained by adding together the two numbers directly above and to the left. These coefficients are then mulitplied by descending powers of a and descending powers of b (or vice versa, because the pattern is symmetric), starting with 0 and going up to n.

In this case, we have

\((x+4)^3=1\cdot x^3\cdot4^0+3\cdot x^2\cdot4^1+3\cdot x^1\cdot4^2+1\cdot x^0\cdot4^3\)

Notice how the powers of x and 4 always sum to n = 3.

Simplifying, we get

\((x+4)^3=x^3+12x^2+48x+64\)

so that

a = 1

b = 3

c = 12

d = 2

e = 48

f = 1

g = 64

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

a) Mean is 8.6, Median is 6 and Mode is 4.

b) The mean and median are close (8.6 and 6, respectively), indicating a symmetrical distribution.

c) The median is a more pertinent number to post since it more accurately captures the "normal" reaction time.

a) Use the following procedures to determine the mean, median, and mode:

Mean:

Add together all the values, then divide by the total number of values to obtain the mean.

3 + 4 + 4 + 4 + 5 + 6 + 8 + 12 + 25 + 20 = 86

Mean = 86 / 10 = 8.6

Find the middle value after placing the items in ascending order to determine the median. The median is the middle value when there are an odd number of values. The median is the average of the two middle values when there are an even number of values.

3 4 4 4 5 6 8 12 20 25

Average = 6

Mode: Locate the value that appears the most frequently to determine the mode.

Mode = 4

b) The distribution's form is essentially symmetrical based on the relative values of the mean, median, and mode. The mean and median are close (8.6 and 6, respectively), indicating a symmetrical distribution.

c) Because the median more accurately captures the data's central tendency when the distribution is skewed, Anderson (1999) reported median reaction times. Extreme numbers, or outliers, have little impact on the median but can significantly change the mean. In this case, the outliers (12 and 25) would drastically increase the mean, making it less reliable at capturing the core trend of the data.

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The question is -

Anderson (1999) was interested in the effects of attention load on reaction time. Participants in her study received a dual-task procedure in which they needed to respond as quickly as possible to a stimulus while simultaneously paying attention to the sounds of spoken words. She recorded reaction time in hundreds of milliseconds). Below are data like those observed by Anderson: 3 4 4 4 5 6 8 12 25 20

a) Find the mean, median, and mode. Show your work.

b) Based on the relative value of those statistics, what is the shape of the distribution?

c) Anderson (1999) reported median reaction times. Why?

Answer:

16.7

Step-by-step explanation:

speed is constant at 17 mph

Distance covered after one hour = 17 miles

Distance between port and San Francisco = 3 miles

Speed at which distance changes 1 hour after leaving port :

r² = 17² - 3²

r² = 289 - 9

r = √280

r = 16.733

= 16.7 (nearest tenth )

Step-by-step explanation:

Trapezium area = height   x   average of bases

the bases are the parallel sides   13 and 5

    average = (13+5) / 2 = 9 mm

Area = 10 mm * 9 mm = 90 mm^2  = .9 cm^2