Solve using elimination.
2x + y = 5
x - 3y = 6

After 3 years, the balance in the account would be approximately $2,708.

To find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final balance

P is the principal amount (initial deposit)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the number of years

In this case:

P = $2500

r = 2.5% = 0.025 (as a decimal)

n = 12 (monthly compounding)

t = 3 years

Plugging in these values into the formula, we get:

A = $2500(1 + 0.025/12)^(12*3)

A = $2500(1.00208333333)^(36)

Using a calculator, we can evaluate the expression inside the parentheses and calculate the final balance:

A ≈ $2500(1.083282498) ≈ $2708.21

Therefore, after 3 years, the balance in the account would be approximately $2,708.

for such more question on annual interest

https://brainly.com/question/14768591

#SPJ8

\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)

Step-by-step explanation:

the correct answer is option a 6a-7

The solution to the system is (x, y) = (7, 5).

What is the linear equation?

A linear equation is an equation of a straight line. It is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept.

The system has one solution (7,5).

One method to solve the system of linear equations is substitution. From the first equation, x = y + 2. Substituting this into the second equation, we get -3(y + 2) + 3y = 6, which simplifies to -3y - 6 + 3y = 6.

Combining like terms, we get -3y = -6, or y = 2.

Finally, substituting y = 2 back into x = y + 2, we get x = 2 + 2, or x = 4. So, the solution to the system is (x, y) = (7, 5).

To learn more about linear equation, Visit

https://brainly.com/question/28732353

#SPJ1

Answer:

\(2.50x\) ,or \( 2.5x \)

Step-by-step explanation:

All of the expressions are right, but I doubt that there's a notebook that costs 25 dollars or 32 dollars.

Answer:

n = 9

Step-by-step explanation:

Step 1: Write equation

-4(9n + 9) = -12(4n - 6)

Step 2: Solve for n

Distribute: -36n - 36 = -48n + 72

Add 48n to both sides: 12n - 36 = 72

Add 36 to both sides: 12n = 108

Divide both sides by 12: n = 9

Step 3: Check

Plug in n to verify if it's a solution.

-4(9(9) + 9) = -12(4(9) - 6)

-4(81 + 9) = -12(36 - 6)

-4(90) = -12(30)

-360 = -360

In Tableau, a filter allows a visualization developer or user to dynamically remove rows from the visualization.  Thus, Option A is the answer.

What is Tableau?

Tableau is an interactive and intuitive data visualization tool that enables people to see and understand data. It provides a variety of data exploration, modelling, and visualization options. Tableau is one of the best data visualization software available in the market. It provides an easy way to integrate data from various sources. With Tableau, you can easily create interactive and visually appealing charts, graphs, and other types of visualizations that are easy to understand and interpret.

What is a filter?

In Tableau, a filter is a tool that allows you to selectively display data from a larger dataset based on certain conditions. Filters help you to narrow down your data to the most relevant information so you can make better decisions based on your analysis. Filters can be applied to different dimensions and measures to help you get a better view of your data. Tableau allows you to filter your data using various types of filters such as categorical, continuous, and relative filters. You can also create custom filters using calculated fields and parameters.

A filter allows a visualization developer or user to dynamically remove rows from the visualization. Therefore, the correct option is (a) Filter.

Learn more about "Tableau": https://brainly.com/question/29838450

#SPJ11

Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The probability that the first card drawn is red and the second card drawn is black depends on whether the cards are drawn with or without replacement from a standard 52-card deck.

If the cards are drawn without replacement, the probability can be calculated as follows: There are 26 red cards and 26 black cards in the deck. The probability of drawing a red card on the first draw is 26/52 (since there are 26 red cards out of 52 total cards). After the first card is drawn, there are 25 red cards and 26 black cards remaining. The probability of drawing a black card on the second draw, given that the first card was red, is 26/51. Therefore, the probability that the first card is red and the second card is black, without replacement, is (26/52) * (26/51) = 13/102. If the cards are drawn with replacement, the probability is independent for each draw. The probability of drawing a red card on the first draw is 26/52, and the probability of drawing a black card on the second draw is 26/52. Therefore, the probability that the first card is red and the second card is black, with replacement, is (26/52) * (26/52) = 1/4.

To learn more about probability  click here: brainly.com/question/31828911

#SPJ11.

The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

To know more about optimization visit :

https://brainly.com/question/3589540

#SPJ11

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

For more such questions on volume

https://brainly.com/question/463363

#SPJ8

Answer:

The value of \(x\):

\(x = -2\)

Step-by-step explanation:

Find the value of \(x\):

\(-9x + 1 = -x + 17\)

-Add both sides by \(x\):

\(-9x + 1 + x = -x + x + 17\)

\(-8x + 1 = 17\)

-Subtract both sides by \(1\):

\(-8x + 1 - 1 = 17 - 1\)

\(-8x = 16\)

Divide both sides by \(-8\):

\(\frac{-8x}{-8} = \frac{16}{-8}\)

\(x = -2\)

So, the final answer would be \(x = -2\) .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

Answer:

I=12

Step-by-step explanation:

y=108

I=108/9

I=12

Answer:

Step-by-step explanation:

This is the proportional relationship

Let the equation be:

We have:

The required equation is:

Answer:

x< -11/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

2(4x+1)<3(2x−3)

Step 1: Simplify both sides of the inequality.

8x+2<6x−9

Step 2: Subtract 6x from both sides.

8x+2−6x<6x−9−6x

2x+2<−9

Step 3: Subtract 2 from both sides.

2x+2−2<−9−2

2x<−11

Step 4: Divide both sides by 2.

2x/2<−11/2

x< −11/2

Step-by-step explanation:

\(5x + 3x - 4 = 10 + 8x \\ 8x - 4 = 10 + 8x \\ 8x - 8x = 10 + 4 \\ = 14\)

Since x has been eliminated (8x-8x = 0), there are no solutions in this equation.

So, the answer is: Yes, they should plan for the skate park because the sample had about 37.6% people vote yes.

Percentage is a way of expressing a fraction or proportion as a number out of 100. It is denoted by the symbol "%". For example, if 20 out of 100 students in a class are absent, we can say that the percentage of absent students is 20%.

To calculate the percentage of a number, you multiply the number by 100 and then divide the result by the total. For example, if you scored 80 marks out of 100 in a test, the percentage score would be (80/100) x 100 = 80%.

Percentages are commonly used to express statistics such as rates of change, discounts, interest rates, and taxes, among others.

by the question.

Based on the information given, we can determine that 47 out of 125 voters responded positively to the idea of building a new skate park. To determine whether the community board should proceed with planning the park, we need to compare this percentage to the minimum requirement of 30%.

To calculate the percentage of voters who responded yes, we can use the following formula:

percentage = (number of voters who responded yes / total number of voters) x 100%

Using this formula, we get:

\(percentage = (47 / 125) *100percent =37.6%\)

Therefore, approximately 37.6% of the voters who were asked responded yes to the idea of building a new skate park. This is higher than the minimum requirement of 30%, so the community board should go ahead and start planning the park.

To learn more about percentage:

https://brainly.com/question/30697911

#SPJ1

The number of trials is fixed number of times.

Let X be the random variable that represents the number of tosses until we get a head. Since each toss is a Bernoulli trial, X can take on integer values from 1 to infinity.

To check whether X follows a binomial distribution, we need to verify the following conditions:

The trials are independent.

There are only two possible outcomes for each trial.

The probability of success (getting a head) is constant for all trials.

The trials are performed a fixed number of times.

Therefore, we cannot model X as a binomial distribution since the number of trials is not fixed. Instead, X follows a geometric distribution, which is a special case of the negative binomial distribution.

To know more about binomial distribution here.

https://brainly.com/question/14565246

#SPJ4

Answer:

The correct answer is c

Step-by-step explanation:

because I studied the histogram very closely.

Hope this helps mark me as Brainliest please it would really make my day

Answer:

Third one

Step-by-step explanation:

as you can tell by the graph,

less than 6 dogs weighed 18-19 pounds

but some dogs did weigh 14-15 pounds

but most of the dogs didn’t weigh 18-19, but instead 16-17

but the only correct one is that 4 dogs weighed 18-19 pounds

\(\frac{11}{-6}\)

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as = 2 * 10^-7

A canonical, normal, or standard form of a mathematical object is a conventional manner of presenting that item as a mathematical expression in mathematics and computer science. It is frequently the one that gives the simplest representation of an item and allows it to be identified in a unique fashion.

A quantity is said to be stated in standard form if it is written as the product of a power of ten and a number higher than or equal to one but less than ten (or scientific notation).

The expression (3.6 * 10^-5) / (1.8 * 10^2) can be calculated as follows:

=3.6 * 10^-5 / (1.8 * 10^2)

= (3.6 / 1.8) * (10^-5 / 10^2)

= 2 * 10^-7

Therefore, the answer in standard form is 2 * 10^-7.

For more questions on Expression in Standard form

https://brainly.com/question/932146

#SPJ4

Answer:

Step-by-step explanation:

The minute hand of a clock overtakes the hour hand at intervalsof M minutes of correct time. The clock gains or loses in a day by=(720/11−M)(60×24/M) minutes.

Here M = 64. The clock gains or losses in a day by

=(720/11−M)(60×24/M)=(720/11−64)(60×24/64)

=16/11(60×3/8)=2/11(60×3)=360/11=32(8/11) minutes.

Answer:

So the equation and solution will be:

Total time taken = 3 × number of shirts + 19.87 min (setup time)

                            = 3 × 143 + 19.87

                           \(=429+19.87\)

                             \(=448.87\)

Step-by-step explanation:

From the question statement, it is clear that

we have to determine how long does it take to screen-print a batch of 143 shirts.

so the equation and solution will be:

Total time taken = 3 × number of shirts + 19.87 min (setup time)

                           = 3 × 143 + 19.87

                           \(=429+19.87\)

                             \(=448.87\)  min

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

To know more about difference quotient visit:

https://brainly.com/question/28421241

#SPJ11

Answer:

Hello! Your answer would be below!

Step-by-step explanation:

Graph B)

Hope I helped! Ask me anything if you have questions!

The values of d that make the inequality 9d > 9 true are given as follows:

2, 4, 11.

Hence the equivalent inequality is given as follows:

d > 1.

The inequality in the context of this problem is defined as follows:

9d > 9.

To solve the inequality, we solve it similarly to an equality, isolating the desired variable d, hence the solution is given as follows:

d > 9/9

d > 1.

The > symbol means that the solution is composed by values that are greater than 1, hence the options are 2, 4, 6 and 11.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

Answer: 15856

Step-by-step explanation: 166786.9963 - 150930.6256

= 15856.3707

= $15856

Answergood question

Step-by-step explanation:

Answer:

172.2

Step-by-step explanation:

so u do 15×16 (witch is 240)

then you do 240-67.80 and u get 172.2

so then answer

that teacher has 172.2 pounds left to buy her students math supplies

The TCF associated with the purchase of this machine is -$32,000, indicating a net cash outflow of $32,000 over the 5-year period.

We need to take into account the initial cost, depreciation, salvage value, inventory increase, and the effect on earnings before depreciation and taxes (EBDT) when calculating the Total Cash Flow (TCF) associated with the purchase of the new machine.

Information provided:

New machine cost: $90,000

Deterioration period: 5 years

Assessed rescue worth of new machine following 5 years: Cost of the current machine: $25,000 $60,000

Deterioration time of current machine: Current machine's salvage value in five years: $36,000 More of the new machine's stock: $3,000

Expanded EBDT yearly because of new machine: The marginal tax rate is $56,000. 34 percent Now let's figure out the TCF:

Ascertain the devaluation cost for the two machines:

Depreciation costs for the new machine are as follows: (Cost - Salvage value) / Life; depreciation costs for the current machine are as follows: (Cost - Salvage value) / Life; depreciation costs for the new machine are as follows: (90,000 - $25,000) / 5 = $13,000; depreciation costs for the current machine are as follows: (60,000 - $36,000) / 5 = $4,800.

The annual increase in earnings before depreciation and taxes (EBDT) can be calculated by multiplying the tax savings for the new machine by the depreciation expense, multiplied by the tax rate, and the tax savings for the current machine by the depreciation expense, multiplied by the tax rate.

The net cash inflow resulting from the increased EBDT can be calculated as follows: EBDT increase = Increased EBDT - Tax savings for the current machine EBDT increase = $56,000 - $1,632 = $54,368

The net cash inflow is equal to the EBDT increase minus the tax rate. The net cash inflow is equal to $35,899.52 minus the 0.34 percent figure.

Absolute money surge = Cost of new machine + Expanded stock

Absolute money surge = $90,000 + $3,000 = $93,000

Compute the rescue worth of the ongoing machine toward the finish of its 5-year life:

The machine's salvage value is $36,000. At the end of five years, the total cash inflow will be as follows:

All out cash inflow = Rescue worth of new machine + Rescue worth of current machine

All out cash inflow = $25,000 + $36,000 = $61,000

Ascertain the TCF:

The TCF associated with the purchase of this machine is -$32,000, indicating a net cash outflow of $32,000 over the course of the five years. TCF = Total cash inflow - Total cash outflow TCF = $61,000 - $93,000 = -$32,000

To know more about Cash Flow refer to

https://brainly.com/question/30066211

#SPJ11