I NEED HELP REALLY QUICK (IN DBA)
find the dot product of the uv given: u v=

If we had a 10-year expected prepayment horizon then Option 1 is preferred less expense and if we had a 5-year expected prepayment horizon then Option 2 is preferred less expense.

In the given question, as a borrower, we have the option to choose between two to 30-year, monthly-payment loans: 7% interest rate with 3 points, versus 7.5% interest with one-half point.

If we assume the pricipal loan amount as $100,000 based on the two option need to monthly instalements for 30 years & the equivalent amount for the respective points.

Under mortgage loan, 3 points on $100,000 is equal to $3,000 and for 1.5 points would be $1500.

Formula for calculating the monthly instalments would be

\(\text{EMI} = P\times \frac{r}{12}\times\left [ \frac{(1+r/12)^n}{(1+r/12)^n- 1} \right ]\)

where P is Principal , r is rate of interest, n = time period in months.

Using the above said formula we can compute EMI for both the options with interest rates as 7% and 7.5% respectively.

(a) We have to find which loan option would you choose if we had a 10-year expected prepayment horizon.

If repayment is 10 years then EMI under both the options would be:

Option 1: Interest rates as 7%

\(\text{EMI} = 100,000\times \frac{7}{1200}\times\left [ \frac{(1+7/1200)^{120}}{(1+7/1200)^{120}- 1} \right ]\)

EMI = $1161.08

Option 2: With interest rate as 7.5%.

\(\text{EMI} = 100,000\times \frac{7.5}{1200}\times\left [ \frac{(1+7.5/1200)^{120}}{(1+7.5/1200)^{120}- 1} \right ]\)

EMI = $1187.02

We can respond to both questions in the following problem using the EMI calculated and the comparable amounts for the respective options.

The total price for each option is as follows.

Particulars                   Option 1                     Option 2

EMI x 12 x 10                139330                      142442

Points                           3000                         1500

Total cost                     142,330                     143,942

The less expensive Option 1 is preferred.

(b) In this question we have find which would you choose if you expect to pay off this loan in 5 years.

If repayment is 5 years then EMI under both the options would be:

Option 1: Interest rates as 7%

\(\text{EMI} = 100,000\times \frac{7}{1200}\times\left [ \frac{(1+7/1200)^{60}}{(1+7/1200)^{60}- 1} \right ]\)

EMI = $1980.12

Option 2: With interest rate as 7.5%.

\(\text{EMI} = 100,000\times \frac{7.5}{1200}\times\left [ \frac{(1+7.5/1200)^{60}}{(1+7.5/1200)^{60}- 1} \right ]\)

EMI = $2003.79

We can respond to both questions in the following problem using the EMI calculated and the comparable amounts for the respective options.

The total price for each option is as follows.

Particulars                   Option 1                     Option 2

EMI x 60                       118807.20                  120,227

Points                           3000                         1500

Total cost                     121,807.20                 121,727

The less expensive Option 2 is preferred.

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The company currently holds approximately 50 days' sales in cash for the comigany curfenty holdeg

To determine the number of days' sales in cash that the company currently holds, we need to divide the cash amount by the daily sales amount. With annual sales of $720,000 and a 360-day year, the company holds approximately 100 days' sales in cash.

To calculate the number of days' sales in cash, we divide the cash amount by the daily sales amount.

Given that the company has $100,000 in cash and annual sales of $720,000, we can determine the daily sales amount by dividing the annual sales by the number of days in a year. Since the year is assumed to have 360 days, the daily sales amount is $720,000 / 360 = $2,000.

Next, we divide the cash amount by the daily sales amount to find the number of days' sales in cash:

$100,000 / $2,000 = 50.

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Answer:

Chips= $1.79

Soda= $1.12

Answer:

chips:  $1.79

soda: $1.12

Step-by-step explanation:

x = chips cost

y = soda cost

4x + 3y = 10.52

3x + 2y = 7.61

i used the elimination method by multiplying the first equation by -2

and the second equation by 3

-8x - 6y = 21.04

9x + 6y = 22.83

x = 1.79

solve for 'y':

3(1.79) + 2y = 7.61

5.37 + 2y = 7.61

2y = 2.24

y = 1.12

Number of container of paint is,

⇒ 6

Now, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An art teacher had 2/3 gallon of paint to pour into containers.

And, he poured 1/8 gallon of paint into each container until he ran out of paint.

Hence, Number of container of paint is,

⇒ 2/3 / 1/8

⇒ 2/3 × 8

⇒ 16/3

⇒ 5.33

Which is 5 and a third of a container which is counted in this so 6 is the answer

Thus, Number of container of paint is,

⇒ 6

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Answer:

3xy=96  2y2-z2=12

Step-by-step explanation:

Step-by-step explanation:

there are 2021 terms

yep

the above image says that the number of terms is always n+1 when it involves(a+b)^n

Answer:

1. {y,x} = {20/3,-68/3} (not sure)

2. x=45

3. x=−9

4.  y=1

5. y=14

Step-by-step explanation:

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

12

Step-by-step explanation:

Step 1: Subtract 8 from both sides of the equation.

Step 2: Complete the square by taking 6 and divide it by 2, then square it.

Step 3: Add 9 to both sides of the equation.

Step 4: Combine like terms on the left and factor the right side into perfect square trinomial.

Step 5: Simplify the right side further into (x + 3)².

Step 6: Solve for y by subtracting 3 from both sides of the equation.

Step 7: The vertex is (-3, -1).

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

In order to complete the square, you should add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

y = x² + 6x + 8

x² + 6x + 8 - 8 = -8

x² + 6x = -8

x² + 6x + (6/2)² = -8 + (6/2)²

x² + 6x + 9 = -8 + 9

x² + 6x + 9 = 1

x² + 3x + 3x + 9 = 1

x(x + 3) + 3(x + 3) = 1

(x + 3)(x + 3) = 1

(x + 3)² = 1

x + 3 - 3 = -3 ±√1

x = -3 ± 1

x = -4 or x = -2

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Answer:

B. 7/20

Step-by-step explanation:

P(A | B) = P(A∩B) / P(B) is the formula for conditional probability

             = (7/40) / (1/2)

Copy dot flip

              = 7/40 * 2/1

              =7/20

Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

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The probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75

When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:

Then:

\(P(E) = \dfrac{A(E)}{A(S)}\)

where A(E) is the area/volume/length for event E, and similar for A(S).

For this case, we're given that:

The favorable space is the blue shaded region.

The total sample space is the area of the considered square.

Let we take:

E = event of choosing point in the blue shaded region

Now, we have:

Area of blue region = Area of triangle with base = height = 8 inches + Area of right sided triangle which has base of 4 inch (look it upside down), and height of 8 inches

Area of blue region = \(\dfrac{1}{2} \times (8 \times 8 + 4 \times 8) = 48 \: \rm in^2\)

Area of the square of sized 8 inches = 64 sq. inches.

Thus, we get:

\(P(E) = \dfrac{A(E)}{A(S)} = \dfrac{48}{64} = \dfrac{3}{4} = 0.75\)

Thus, the probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75

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Answer: 2

Step-by-step explanation:

1) substitute

2) calculate the difference before the absolute value

3) calculate the absolute value

4) convert into whole numbers/reduce

5) subtract the whole numbers

this is what i think might be wrong

Answer:

-32

Step-by-step explanation:

First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32

Answer:

-8

Step-by-step explanation:

Answer:

308 cubic feet

Step-by-step explanation:

The box on the truck has dimensions 11 ft by 7 ft by 4 ft.

The volume of the box is:

V = L * W * H

V = 11 * 7 * 4

V = 308 cubic feet

The truck can transport 308 cubic feet of gravel.

Answer:

x = 0, -6

Step-by-step explanation:

(0 - 3)(0 + 9) = (-3)(9) = -27

(-6 - 3)(-6 + 9) = (-9)(3) = -27

Answer:

p= 9/22

Step-by-step explanation:

grouping of like terms

= -4-5 +8p-6p+20p

= -9 +22p

p =9/22

Answer:

the y intercept represents the point on the y axis in which the line crosses on a graph.

The inverse of the function f(x) = 3(x - 4)² + 5 is f^-1(x) = √[(x - 5)/3] + 4

A function is said to have an inverse if it is both one-to-one and onto

For the function f(x) = 3(x - 4)² + 5

we replace f(x) with y and make x the subject to arrive at the inverse f^-1(x) as follows;

y = 3(x - 4)² + 5

y - 5 = 3(x - 4)² + 5 - 5 {subtract 5 from both sides}

(y - 5)/3 = [3(x - 4)²]/3 {divide through by 3}

also;

(x - 4)² = (y - 5)/3

x - 4 = √[(y - 5)/3] {square root of both sides}

x - 4 + 4 = √[(y - 5)/3] + 4

x = √[(y - 5)/3] + 4

so,

y = √[(x - 5)/3] + 4 and

f^-1(x) = √[( - 5)/3] + 4

Hence, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = √[(x - 5)/3] + 4.

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The minimum standard deviation required for the nominal value to be within the 99.9% confidence interval for the resistance population mean can be calculated using the concept of confidence intervals and the z-score.

In a confidence interval, the margin of error is determined by the z-score, which corresponds to the desired level of confidence. For a 99.9% confidence interval, the z-score is approximately 3.29.

To calculate the minimum standard deviation, we need to find the margin of error and then solve for the standard deviation. The margin of error is determined by multiplying the z-score by the standard deviation and dividing it by the square root of the sample size.

Since we have 100 resistors and the mean resistance is 99.9Ω, the sample size is 100 and the sample mean is 99.9Ω. The margin of error can be calculated as (z * standard deviation) / sqrt(n).

To have the nominal value within the 99.9% confidence interval, the margin of error should be less than or equal to 0.1Ω (half of the desired confidence interval). By substituting the values, we can solve for the minimum standard deviation.

Once the minimum standard deviation is determined, it ensures that the nominal value falls within the 99.9% confidence interval for the resistance population mean.

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Answer:

840

Step-by-step explanation:

Lets split the shape in 2 shapes which gives us 2 rectangular prisms

1st shape is the one stcking upward: 12*5*6=360

2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480

480+360=

840

Answer: c. a = 2y and b = -3

Step-by-step explanation:

To find the values of a and b in this division problem, we need to perform polynomial division. Starting with the dividend, 8y^2 – 12y + 4, we divide the leading term of the dividend, 8y^2, by the leading term of the divisor, 4y. This gives a quotient of 2y.

Next, we multiply the divisor, 4y, by 2y and subtract it from the dividend, 8y^2 – 12y + 4. This gives a remainder of -3.

So, in this division problem, the values of a and b are a = 2y and b = -3.

To specify the orientation of the plane of a paper, the following single line can be used: "Hold the paper such that the plane of the paper is perpendicular to the direction of the gravity.

This means that if you hold the paper and drop a plumb line, the line should be parallel to the edge of the paper. This way, anyone can hold the paper in the same or a parallel plane, thus ensuring that the orientation is consistent.An alternate line to specify the orientation of the plane of a paper is: "Hold the paper such that the plane of the paper is parallel to the surface of the earth." This means that if you hold the paper and look at it from the top, the surface of the paper should appear to be parallel to the ground. By using either of these lines, one can specify the orientation of the paper's plane.

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