For field trip the school bought 47 sandwiches for $4.60 each and 39 bags of chips for $1.25 each how much was spent on sandwiches

The yield to maturity of a coupon bond can be determined by solving for the discount rate that equates the present value of the bond's future cash flows to its current market price. In this case, with a coupon bond priced at $4000, a term of 4 years, a face value of $7000, and a coupon rate of 4 percent, the yield to maturity can be calculated.

The yield to maturity (YTM) is the annualized rate of return an investor would earn by holding the bond until its maturity date. To calculate the YTM, we need to find the discount rate that makes the present value of the bond's cash flows equal to its market price.

The cash flows of the bond consist of the periodic coupon payments and the face value received at maturity. In this case, the bond has a coupon rate of 4 percent and a face value of $7000. The coupon payment can be calculated as 4% of $7000, which equals $280 per year. The bond has a term of 4 years, so there will be four coupon payments of $280 each. At maturity, the bondholder will also receive the face value of $7000.

To calculate the present value of the bond, we discount each cash flow using the discount rate. The discount rate represents the yield to maturity that we want to find. By trial and error or by using financial calculators or software, we can find that the yield to maturity for this bond is approximately 7.33 percent. Therefore, the yield to the nearest hundredth of a percent is 7.33%.

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Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

32

Step-by-step explanation:

Rich will incur interest totaling $1,525.095 throughout the course of the 4.5-year non-payment period.

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given that he is aware that he has the option to start loan payback in 4.5 years at the current interest rate of 4.29% on a $7,900 loan, the following will apply:

4.29% of 7900 after the first year

\(4.29/100*7900\)

=338.91

So, after the tenure of 4.5 years, to find total interest, the interest will be multiplied by 4.5:

=338.91*4.5

=1525.095

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Answer:

The correct answer is - A)8% B) 3%

Step-by-step explanation:

A) Let assume:

the cost price of the goods - $y.

the selling price of the goods - $x.

Given: The retailer sold at 4% discount, or 0.96x (100% - 4% = 96%). Since the goods were sold to make 20% profit, therefore it was sold for:

1.2y (100% + 20% = 120%).

Solution:

The refrigerator was sold at 13% VAT at Rs. 10848:

then,

=> 1.2y + 13%(1.2y) = 10848

=> 1.2y + 0.156y = 10848

=> 1.356y = 10848

=> y = 8000

Thus, the cp is Rs 8000.

The selling price is:

=> 0.96x = 1.2y

=> 0.96x = 1.2(8000)

=> x = 10000

The sp is Rs. 10000

For a profit of 15%, that is 1.15(8000) = 9200, the discount is:

(1 - discount)10000 = 9200

1 - discount = 0.92

Discount = 1 - 0.92 = 0.08 or 8%

B) Let C & M as cost price & marked price of the scanner machine respectively.  

(1 + 20/100)*C = 41400

or (6/5)*C = 41400

or C = (5/6)*41400

= 34500 (Rs)

(1 - 10/100)*(1 + 15/100)*M = 41400

or (9/10)*(23/20)*M = 41400

or M = (10/9)*(20/23)*41400

= 40000 (Rs)

Let R% as the reduction in the percent in discount  

(1 - 10/100 + R/100)*(1 + 15/100)*M

= (1 + 20/100 + 4/100)*C

or (9/10 + R/100)*(23/20)*40000

= (31/25)*34500

or 9/10 + R/100

= (20/23)(31/25)*(345/400)

or R/100 = 0.93 - 0.9 = 0.03

or R = 3%

The result of the expressionn 1/5 - 3/4 will be negative 11/20. Then the correct option is C.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expression is given below.

⇒ 1/5 - 3/4

⇒ (4 - 15) / 20

⇒ -11 / 20

Then the correct option is C.

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Answer:

c

Step-by-step explanation:

The expression that gives the distance, d, between the ships after t hours is d = 25t

From the question, we are to write an expression that gives the distance, d, between the ships after t hours

First, we will determine the distance the ships have traveled after t hours

Using the formula,

Distance = Speed × Time

Thus,

The first ship would have traveled

20 × t miles

= 20t miles

The second ship would have traveled

15 × t miles

= 15t miles

Using the Pythagorean theorem,

The distance, d, between the ships after t hours is

d² = (20t)² + (15t)²

d² = 400t² + 225t²

d² = 625t²

d = √(625t²)

d = 25t miles

Hence, the expression that gives the distance, d, between the ships after t hours is d = 25t

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Answer:

YES

Step-by-step explanation:

4(3b-4)=2(6b-8)

12b-16=12b-16

YES

Answer:

yes

Step-by-step explanation:

because 4*3=12 and 2*6=12 , and 4*4=16 and 2*8=16

The equation in the form \(x^{2}\) + bx = c is \(x^{2}\) - 2x = 15.

By adding to both sides the term needed to complete the square is 1.

Factors of the perfect square trinomial are 5 and - 3.

As per the given data the given equation is:

\(x^{2}\) - 2x - 15 = 0

1. Rewrite the equation in the form \(x^{2}\) + bx = c

Since a = 1 keep the “x-terms” (both the squared and linear terms) on the left side but move the constant to the right side.

Add 15 on both sides of the equation.

\(x^{2}\) - 2x - 15 + 15 = 0 + 15

\(x^{2}\) - 2x = 15

2. Add to both sides the term needed to complete the square.

Divide by 2, followed by squaring (raising to the 2 nd power).

\(& x^2-2 x=15 \\\)

\(& \left(\frac{-2}{2}\right)^2=1\)

The output here, which is +1, will be added to both sides of the quadratic equation.

\(x^{2}\) - 2x + 1 = 15 + 1

\(x^{2}\) - 2x + 1 = 16

\((x-1)^2=16\) (Perfect square trinomial express into square of a binomial)

3. Factor the perfect square trinomial.

\(\sqrt{(x-1)^2} & =\pm \sqrt{16} \\\)

x - 1 = ± 4

x - 1 + 1 = ± 4 + 1

x = ± 4 + 1

x = 4 + 1           x = -4 + 1

x = 5                x = - 3

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Answer:

$680

Step-by-step explanation:

Capacity of the truck: 4200 pounds and 480 cubic feet of cargo.

Small package: 25 pounds and 3 cubic feet each.

Large package: 50 pounds and 5 cubic feet each.

For x number of small packages:

25x pounds and 3x cubic feet

Let x = 8,

200 pounds and 24 cubic feet.

For y number of large packages:

50y pounds and 5y cubic feet

Let y = 80,

4000 pounds and 400 cubic feet.

Since delivery service charges $5 for each small package and $8 for each large package.

The maximum revenue per truck = ($5x + $8y)

                                                       = ( $5 x 8) + ($8 x 80)

                                                       = $680

The coordinate of point 3 / 10 away from A in the direction of AB is (6, 4).

Section formula is used in Coordinate geometry to find the ratio between two points on a line given one another point on the line.

Given that,

AB is a line segment.

The coordinate of A is (-4, -6) and that of B is (9, 7).

The distance of the point C 3 / 10 from A is 7 / 10 from B.

Suppose the point is C and its coordinate is (x, y).

Thus, the point c divides AB in the ratio AC : CB = 3 : 10.

Now, use section formula to get the coordinate of the given point as,

x = (mx₁ + nx₂) / (m + n)  and y = (my₁ + ny₂) / (m + n)

Substitute the respective values to get the coordinates of C as,

x = (3 × -4 + 10 × 9) / (3 + 10)  and y = (3 × -6 + 10 × 7) / (3 + 10)

⇒ x = 6 and y = 4

Hence, the coordinate of the given point is (6, 4).

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Answer:

y = -3x - 3

Step-by-step explanation:

y = -3x + b

0 = -3(-1) + b

0 = 3 + b

-3 = b

y = -3x - 3

Answer:

4.23076923077

Step-by-step explanation:

if you need a remainer    please comment hope this helps also if you do put this in if you need a shorder anwser put 4.2307  

For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

To determine the value of n₀ for which Algorithm A is better than Algorithm B when B uses n√n operations, we need to find the point at which the number of operations for Algorithm A is less than the number of operations for Algorithm B.

Algorithm A: 10n log n operations

Algorithm B: n√n operations

Let's set up the inequality and solve for n₀:

10n log n < n√n

Dividing both sides by n gives:

10 log n < √n

Squaring both sides to eliminate the square root gives:

100 (log n)² < n

To solve this inequality, we can use trial and error or graph the functions to find the intersection point. After calculating, we find that n₀ is approximately 459. Therefore, For n ≥ 459, Algorithm A is better than Algorithm B when B uses n√n operations.

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R-1.3: For \($n \geq 14$\), Algorithm A is better than Algorithm B when B uses \($n^2$\) operations.

R-1.4: Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

R-1.3:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n^2$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n^2$\)

\($10 \log n < n$\)

\($\log n < \frac{n}{10}$\)

To solve this inequality, we can plot the graphs of \($y = \log n$\) and \($y = \frac{n}{10}$\) and find the point of intersection.

By observing the graphs, we can see that the two functions intersect at \($n \approx 14$\). Therefore, for \($n \geq 14$\), Algorithm A is better than Algorithm B.

R-1.4:

Algorithm A: \($10n \log n$\) operations

Algorithm B: \($n\sqrt{n}$\) operations

We want to determine the value of \($n_0$\) such that Algorithm A is better than Algorithm B for \($n \geq n_0$\).

We need to compare the growth rates:

\($10n \log n < n\sqrt{n}$\)

\($10 \log n < \sqrt{n}$\)

\($(10 \log n)^2 < n$\)

\($100 \log^2 n < n$\)

To solve this inequality, we can use numerical methods or make an approximation. By observing the inequality, we can see that the left-hand side \($(100 \log^2 n)$\) grows much slower than the right-hand side \($(n)$\) for large values of \($n$\).

Therefore, we can approximate that:

\($100 \log^2 n < n$\)

For large values of \($n$\), the left-hand side is negligible compared to the right-hand side. Hence, for \($n \geq 1$\), Algorithm A is better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

So, for R-1.4, the value of \($n_0$\) is 1, meaning Algorithm A is always better than Algorithm B when B uses \($n\sqrt{n}$\) operations.

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Answer:

the radius is 3.5 cm

the Diameter is 7 cm

Answer: B. 2 quarts

Step-by-step explanation: 16 divided by 8 is 2 so you multiply 2 by 1 and you get 2. :)

A measure of goodness of fit for the estimated regression equation is the residual standard error (RSE)

It is a measure of goodness of fit for the estimated regression equation. It measures the average amount that the response variable (y) deviates from the estimated regression line, in the units of the response variable.

The RSE is calculated as the square root of the sum of squared residuals divided by the degrees of freedom. A smaller RSE indicates a better fit of the regression line to the data.

It represents the proportion of the variation in the dependent variable that is explained by the independent variable(s) in the model. The value of R-squared ranges from 0 to 1, with higher values indicating a better fit of the model to the data.

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Answer:

yay lol

Step-by-step explanation:

Answer:

(-3, -2) and (-3, 4). Hope that helped!

Step-by-step explanation:

Answer:

0.04 < 0.1 < 1/6

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

constant of proportionality in this problem is the cost per pant

Answer:

Uneffected.

Step-by-step explanation:

The order of the numbers doesn't affect the product in multiplication problems.

For example, we need to multiply 2 × 10.

We can write it as : 2×5×2

2×(5×2) = 2×10 = 20

Also,

(2×5)×2 = 10×2 = 20

Hence, it will remain unaffected when we multiply numbers.

Answer:

5

Step-by-step explanation:

Scale factor = image/pre-image

Scale factor = - 15/-3 =5

Or

Scale factor = 45/9 = 5

Answer:

y=2

Step-by-step explanation:

\©°©°©°¥=¥=€=€°`°€°€°%=

Answer:

4/9 x 3/8 = 1/6

Step-by-step explanation:

Answer:

\(A=81\pi $ m^2\)

Step-by-step explanation:

Circumference of the column \(=18\pi $ meters\)

Circumference of a circle\(=2\pi r\)

Therefore:

\(2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters\)

Area of a Circle \(=\pi r^2\)

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

\(=\pi *9^2\\=81\pi $ m^2\)

Answer:

81pi

Step-by-step explanation:

Answer: 130\(\pi\)

Step-by-step explanation:

SA=2\(\pi\)rh+2\(\pi\)r²

Substitute Values:

SA=2\(\pi\)5×8+2\(\pi\)5²

Solve by removing \(\pi\):

2×5×8+2×5² = 130

Plug \(\pi\) back in to get:

130\(\pi\)

Answer:

7. $3450

8.  $10300

Hope this helps.