$1500 at 4% for 5 years find interst

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Answer:

24

Step-by-step explanation:

16 +8 = 24  I got this answer by  4  X 4 = 16 +8 So Ms.Dantes  has 24 brownies now.

To solve the given system of differential equations, we can use the substitution method to obtain first-order linear differential equations and solve them for x and y. Alternatively, we can apply the operator method to rewrite the system as a second-order linear differential equation.

To solve the given system of differential equations using three different methods - substitution method, operator method, and eigen-analysis method - we start by representing the system in matrix form: Let X = [x y]' and X' = [x' y']'. The given system can be written as: X' = A * X + B, where A is the coefficient matrix and B is the vector of constants.

Substitution Method:

In this method, we substitute the expressions for x' and y' from the given system into the equations and solve for x and y. By substituting the given expressions, we obtain two first-order linear differential equations. We can then solve these equations using standard methods such as separation of variables or integrating factors to find the solutions for x and y.

Operator Method:

The operator method involves defining operators D = d/dt and E = d/de, where t is the independent variable and e is the exponential function. We can rewrite the given system as a single second-order linear differential equation in terms of these operators. By manipulating the equations using operator algebra, we can find the characteristic equation and the solutions for x and y.

Eigen-analysis Method:

The eigen-analysis method involves finding the eigenvalues and eigenvectors of the coefficient matrix A. By calculating the eigenvalues, we can determine the type of critical points in the system. The eigenvectors corresponding to the eigenvalues provide the basis for the solutions. Using the eigenvalues and eigenvectors, we can construct the general solution for the system. Lastly, the eigen-analysis method helps us determine the critical points and construct the general solution using eigenvalues and eigenvectors.

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The polynomial is

\(10x + y\)

Answer: x/7=5 or x/5=7

Step-by-step explanation: Well If each person got 7 crackers, and there were 5 people, there were a total of 35 crackers. Division is just multiplication backwards.

Answer:

-7=12n-4

-12n-7=-4

-12n=-4+7

-12n=3

n=-1/4

5x+7=4

5x=4-7

5x=-3

x=-3/5

-28+15y=17

15y=17+28

15y=45

y=3

x/3+5=-2

x+15=-6

x=-6-15

x=-21

Step-by-step explanation:

Answer:

12.5 units^2

Step-by-step explanation:

The shape is a trapezoid

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 2.5+ 7.5) 2.5

A = 1/2 ( 10)2.5

A = 12.5 units^2

Answer:

12.5 units^2

Step-by-step explanation: Big Brain

Since each serving contains 2/5 of a pound, then, the total weight of x servings would be:

If the total weight of x servings should be equal to the weight of the turkey, then:

Multiply both sides of the equation by 5/2:

Simplify the expressions on both sides of the equation:

Therefore, the number of adult servings from a 10 pound turkey, will be 25.

Median- is the middle value whereby the values are place in order (ascending)

$9.25 is the median of these prices

Answer:

92.93378 kg

Step-by-step explanation:

Given that:

Volume of Batch = 93 L

= 93 × 1000     (since 1 L = 1000 mL)

= 93000 mL  

Specific gravity = \(\dfrac{density \ of \ solution}{density \ of \ water}\)

where;

density of water = 1 g/ml

specific gravity = 1.01 g/mL

Density of solution = (1.01 × 1) g/mL

Density of solution = 1.01 g/mL

\(Density \ of \ solution = \dfrac{mass \ of \ batch }{volume \ of \ batch}\)

mass of batch = 1..01 g/mL × 93000 mL

mass of batch = 93930 g

Now, the mass of additional water = mass of (batch - Ropivaciance - sodium chloride)

= 93930 g - 196.42 g - 799.8 g

= 92933.78  g

Since 1kg = 1000 g

The weight of the water to be added to the QS solution is:

\(=\dfrac{92933.78}{1000}\)

= 92.93378 kg

Answer:

C distributive

Answer:

Step-by-step explanation:

5(x - 2) = 5(x - 2).

if you sove 5(x - 2) then you will find 5x - 10.

A rocket launched from the top of a 40 foot cliff. The height, h, of the rocket after t seconds is given h=-16t² + 170t + 40. the rocket will be 10 feet above ground at 11 seconds

The problem is a quadratic equation program requiring the time, t when when the height , h is 10 feet

we therefore solve as follows

h = -16t² + 170t + 40

10 = -16t² + 170t + 40

rearranging and equating to zero

16t² - 170t - 40 + 10 = 0

16t² - 170t - 30 = 0

using calculator to solve gives

t = 10.799   OR    -0.174

t = 11    to the nearest second

Taking the positive value, the time is 11 seconds

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The multi-factor productivity of Cadbury's can be calculated by dividing the output (number of chocolate bars produced) by combined input factors (labor and overhead expenses). Correct answer is (c) 8.3 bars/$.

Multi-factor productivity measures the efficiency with which multiple inputs are used to produce a certain output. In this case, we need to calculate the productivity of Cadbury's by considering the number of chocolate bars produced and the combined input factors of labor and overhead expenses.

The number of chocolate bars produced in a day is given as 5000. Since a day is considered 8 hours, we can calculate the production rate per hour by dividing the total number of bars by the total hours:

5000 bars / 8 hours = 625 bars/hr. Therefore, option (a) 625 bars/hr is incorrect.

The combined input factors include the labor cost and the overhead expense. The labor cost per day is $200, and since there are 4 staff members, each staff member's cost would be $200 / 4 = $50. The overhead expense is given as $400 per day. Therefore, the total input cost is $400 (overhead) + $200 (labor) = $600.

To calculate the multi-factor productivity, we divide the output (number of bars) by the input cost: 5000 bars / $600 = 8.3 bars/$. Hence, the correct answer is (c) 8.3 bars/$, representing the multi-factor productivity of Cadbury's.

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The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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The correct statement describing step 3 is:

C. Adjust the width of the compass to BQ, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Correct option is C.

In the given construction,

step 1 involves drawing an arc from point Q to intersect the sides PQ and QR at points A and B, respectively.

Step 2 involves drawing a segment NT and using the same width of the compass to draw an arc from point N to intersect the segment NT at point X.

To continue the construction and construct an angle MNT congruent to angle PQR,

step 3 requires adjusting the width of the compass to BQ. This means the compass should be set to the distance between points B and Q. Then, from point X, an arc is drawn that intersects the arc drawn from N at a point Y.

By completing this step, the construction creates an angle MNT that is congruent to the given angle PQR.

Correct option is C.

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Answer: C) Alternate interior angles

The blue angles marked are inside the parallel lines, so they are considered interior. They are on alternating sides of the transversal line. The angles are only congruent when the lines are parallel.

Answer: C

Step-by-step explanation:

The equation that represents Angel's pay in fees based on their number of ATM withdrawals y = 3 + 5x

Information from the question are

Angel's bank allows them 3 free ATM withdrawals each month

then charges a $5 ATM fee

Angel will pay in fees = y

number of ATM withdrawals = x

The Angel's bank  ATM withdrawals can be modeled as a linear function

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = 3 + 5x

Definition of variables to suit Angel's bank  ATM withdrawals

y = Angel will pay in fees

$5 = charges per withdrawal

x = number of ATM withdrawals

3 = free ATM withdrawals each month

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Answer:

wwwwwwwwwwwwwww

Step-by-step explanation:

15 ws

Answer:

Whats the question

Step-by-step explanation:

The largest number among the given options is (101001)2, which is option D.

To determine the largest number among the given options, we need to convert each number into its decimal form and compare them.

A. (101001)2 A. (101001)2:

This number is in binary format. To convert it to decimal, we use the place value system. Starting from the rightmost digit, we assign powers of 2 to each bit. The decimal value is calculated by adding up the values of the bits multiplied by their respective powers of 2.

(101001)2 = 12^5 + 02^4 + 12^3 + 02^2 + 02^1 + 12^0

= 32 + 0 + 8 + 0 + 0 + 1

= 41

B. (2B)16 = 216^1 + 1116^0 = 32 + 11 = 43

C. (52)s: The base "s" is not specified, so we cannot determine its decimal value.

D. 50

Comparing the values we obtained:

41 < 43 < 50

Therefore, the largest number among the given options is 50, which corresponds to option D.

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The 45º-45º-90º Triangle Theorem states that in a right triangle where the two acute angles are both 45º, the length of the hypotenuse is √2 times the length of each leg.

Therefore, if the length of the hypotenuse is 102, then the length of each leg is 102/√2 or approximately 72.14.

To apply the 45º-45º-90º Triangle Theorem to find the length of a leg of a right triangle with a hypotenuse of 102, you need to use the ratio 1:1:√2 for the leg, leg, and hypotenuse respectively. Since the hypotenuse is 102, you can set up the following equation:

Leg : Leg : Hypotenuse = 1 : 1 : √2

Let "x" represent the length of each leg. Then, the relationship becomes:

x : x : 102 = 1 : 1 : √2

To solve for x, divide the hypotenuse by √2:

x = 102 / √2

To rationalize the denominator, multiply the numerator and denominator by √2:

x = (102 * √2) / (2)

x = 51√2

So, the length of each leg of the 45º-45º-90º right triangle is 51√2 units.

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Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.

To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.

The ratio of cost to the quantity of visitors for $9 and four visitors is:

$9/4 visitors = $2.25/ visitors

The ratio of value to the quantity of visitors for $18 and eight visitors is:

$18/8 visitors = $2.25/ visitors

We are able to see that both ratios are equal to $2.25 per visitor.

Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.

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Value from each paycheck for federal income tax is,

⇒ 7.06%

We have to given that;

veronica, a single female, earned an annual salary of $48,500.

And, After tax deductions for her two exemptions, her monthly taxable wages were $3,425.01.

Hence, Value from each paycheck for federal income tax is,

⇒ $3,425.01 / $48,500 x 100

⇒ $3,425.01 / $485

⇒ 7.06%

Thus, Value from each paycheck for federal income tax is,

⇒ 7.06%

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The ratios that are equivalent to the ratio 8 : 6 are 40 : 30 and 56 : 42

From the question, the ratio is given as

Ratio = 8 : 6

For ratios to be equivalent, each term of the ratio must be multiplied or divided by the same number

An equivalent of the ratio is

Ratio = 8n : 6n

Where n is a real number

Take for instance, we set n = 5

So, we have the following representation

Ratio = 8 * 5 : 6 * 5

Evaluate the products

So, we have the following representation

Ratio = 40 : 30

Take for instance, we set n = 7

So, we have

Ratio = 8 * 7 : 6 * 7

Evaluate the products

So, we have the following representation

Ratio = 56 : 42

So, we have the following representation

40 : 30 and 56 : 42

Hence, the equivalent ratios are 40 : 30 and 56 : 42

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Answer:

7

Step-by-step explanation:

(4, -8) and (-1, 3), formula used will be \(y_{1}-y_{2}\)/\(x_{1} -x_{2}\) so:

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

i edited my answer a few times cause i read the points wrongly so just know that this is the correct one.

Answer:

.3 and most ducks are yellow - so letter c.

Step-by-step explanation:

remember: the formula for relative frequency is f/n.

f = number of times data occurred for an observation (30 red ducks picked)

n - total frequencies (100 ducks picked in total)

30/100 = 0.3 is the relative frequency of choosing a red duck.

Next,

Yellow was picked 40 out of the 100 times, so its likely that most ducks are yellow.

Answer:

C.  The relative frequency is 0.3. It is likely that most ducks are yellow.

Step-by-step explanation:

Relative frequency (or experimental probability) is calculated by dividing the recorded number of times an event happens by the total number of trials in the actual experiment.

\(\begin{aligned}\implies \sf Relative\:frequency\:(red\:duck) & = \dfrac{\textsf{Number of times a red duck was picked}}{\textsf{Total number of trials}}\\\\ & = \sf \dfrac{30}{100}\\\\ & = \sf 0.3\end{aligned}\)

The most likely color of duck in the pool is the color of duck with the highest frequency.  Therefore, it is likely that most ducks are yellow.

The value of P(X < 120) is also 0.8413.So, the required probability is 0.8413 (rounded to 4 decimals).

Given that a normal random variable X has a mean = 100

Standard deviation = 20 and we have to find P(X < 120).

The z-score formula for the random variable X is given by:

z = (X - µ)/σ

Where,

z is the z-score,

µ is the mean,

X is the normal random variable, and

σ is the standard deviation.

Substituting the given values in the z-score formula,

we get:

z = (120 - 100)/20z

= 1

Now we have to find the value of P(X < 120) using the standard normal distribution table.

In the standard normal distribution table, the value of P(Z < 1) is 0.8413.

Therefore, the value of P(X < 120) is also 0.8413.So, the required probability is 0.8413 (rounded to 4 decimals).

Hence, the answer is 0.8413.

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The total capacity of the bank is 40 customers per hour.

Given, we have 4 tellers in a bank and each teller takes 6 minutes to server 1 customer. We can calculate how many customers 1 teller serves  in 1 hour by Unitary Method :

⇒ 6 mins = 1 customer

Taking 6 to Right hand side of the equation:

⇒ 1 min = (1/6) customer

∴ In 60 mins = (1/6) x 60 customers

⇒ 10 customers

Hence, 1 teller can serve 10 customers in an hour (60 mins).

Now, the bank has a total of 4 tellers, we can simply find the total capacity of the bank by multiplying the the number of customers served by 1 teller in an hour by 4.

Therefore, total capacity of the bank is  : 4 x 10 = 40 customers per hour.

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