week. After 5 weeks the account holds $170. Write an equation that represents the amount y
(in dollars) of money in the account after x
weeks.

189cm²

Step-by-step explanation:

area is multiplication so it will be L×B

also because its a rectangle

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Part A: $225 is her monthly payment.

Part B: She will have paid $20,325.

Part A Explanation: 14,100 - 13,200 is 900. Then you divide 900 by 4. 4 being the months. When you divide that, You get, 225.

Part B Explanation: You have the $6000 dollar down payment, plus the $14,225 total is payments. It equals 20,325.

Hope this helps!

Answer:$40

Step-by-step explanation:

The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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Answer:

Step-by-step explanation:

this equation is false

Answer:

4) (7, - 2)

Step-by-step explanation:

A point that lies on the graph of 3y + 2x = 8 is a solution of this equation. Substitute each ordered pair into the equation to find the correct answer.

1: (-2, 7)

\(3y + 2x = 8\)

\(3(21) + 2( - 2) = 8\)

\(63 - 4 = 8\)

\(59 = 8\)

59 is not equal to 8 so this answer is incorrect.

2: (0, 4)

\(3y + 2x =8\)

\(3(4) + 2(0) = 8\)

\(12 + 0 = 8\)

\(12 = 8\)

12 is not equal to 8 so this answer is incorrect.

3: (2, 4)

\(3y + 2x = 8\)

\(3(4) + 2(2) = 8\)

\(12 + 4 = 8\)

\(16 = 8\)

16 is not equal to 8 so this answer is incorrect.

4: (7, - 2)

\(3y + 2x = 8\)

\(3( - 2) + 2(7) = 8\)

\( - 6 + 14 = 8\)

\(8 = 8\)

This ordered pair satisfies the equation so this is the correct answer.

The speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

To find the speed of the boat in still water and the speed of the current, let's follow these steps:

Step 1: Let x represent the speed of the boat in still water, and y represent the speed of the current. The speed downstream is (x + y) and the speed upstream is (x - y).

Step 2: Use the formula distance = time × speed to write two equations based on the given information.

Downstream: 9(x + y) = 189

Upstream: 63(x - y) = 189

Step 3: Simplify both equations:

Downstream: x + y = 21 (divide both sides by 9)

Upstream: x - y = 3 (divide both sides by 63)

Step 4: Solve the system of equations by adding the two simplified equations:

2x = 24

x = 12

Step 5: Plug the value of x back into either equation to solve for y:

12 + y = 21

y = 9

So, the speed of the boat in still water (x) is 12 mph, and the speed of the current (y) is 9 mph.

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Answer:

  (4,8)

Step-by-step explanation:

One of the marked points on the black line is (4,8).

__

You will notice that the only combination worth $3.00 is (12,0).

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

Answer:

To Solve a System of Equations by Elimination

Write both equations in standard form. ...

Make the coefficients of one variable opposites. ...

Add the equations resulting from Step 2 to eliminate one variable.

Solve for the remaining variable.

Substitute the solution from Step 4 into one of the original equations.

here! ( happy hoildays!)

a) The total amount of money that Henry would pay for his family if he were to buy 5 snacks for everybody to share is $95.50.

b) The amount Henry would have to pay if he bought xx snacks for everybody to share is $3.5xx.

To determine the total cost, we multiply the quantity or units by unit price.

Cost of a movie ticket per person = $13

Number of moviegoers = 6 (5 + 1)

Total cost for tickets = $78 (6 x $13)

Cost of snacks per unit = $3.50

Total cost for 5 snacks = $17.50 (5 x $3.50)

Total cost paid for the family = $95.50 ($78+ $17.50)

Total cost paid for xx snacks = $3.50xx

Thus, Henry would spend a total cost of $78 for 6 tickets and a total cost of $17.50 for 5 snacks.

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Answer:

It will land 7.5 times on tails, which is rounded up to 8 times

Step-by-step explanation:

there are 2 possibilities, heads or tails

so you divide 15 in 2 and get 7.5

The coin will land 7 times tail based on the experimental probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

When the coin tossed 45 times.

Head= 24, tail = 21

So, fraction of appearing tail will be

= 21 / 45

= 0.466667

Now, if the coin tossed 15 times then the coin land on tails

= 15 x 0.466667

= 7

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Based on the information provided, I think that Ben is correct.

Let's analyze and compare the given expressions:

Adzo says the graph is of the function y = 2-¹x - √25.

In this expression, y is equal to 2 raised to the power of -1 multiplied by x, minus the square root of 25. This can also be written as y = (1/2)x - 5.

Ben says it is y - 5 = 0.5x.

In this expression, y - 5 is equal to 0.5 times x.

Comparing the two expressions, we can see that Ben's expression, y - 5 = 0.5x, is a linear equation in slope-intercept form, where the slope is 0.5 and the y-intercept is -5, representing a straight line on a graph.

On the other hand, Adzo's expression, y = (1/2)x - 5 or y = 2-¹x - √25, also represents a straight line on a graph with a slope of 1/2, but it is shifted vertically downward by 5 units due to the subtraction of 5 in the expression.

Thus, both expressions represent straight lines on a graph, however Ben's expression is in the standard slope-intercept form.

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The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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Answer:

1 7/33

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

203÷112

Applying the fractions formula for division,

=20×23×11

=4033

Simplifying 40/33, the answer is

=1733

Answer:

Amber rode for 36 minutes in total.

Step-by-step explanation:

Lets create a ratio table:

Time elpased (minutes) : Laps around park

                                    9 : 1

                                  36 : 4

Amber rode for 36 minutes in total.

đã đi 36 phút.

từng bước

                                   9: 1

                                 36: 4

Amber đã đi tổng cộng 36 phút.

The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

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Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

a

Step-by-step explanation:

you should Mark me brainliest;)

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

C

Step-by-step explanation:

The best answer is C: 30 minutes per day, 5 days a week.According to the World Health Organization (WHO), adults should engage in at least 150 minutes of moderate-intensity aerobic physical activity or 75 minutes of vigorous-intensity aerobic physical activity throughout the week, which can be achieved through 30 minutes of moderate-intensity activity, 5 days a week. This amount of physical activity has been shown to have significant health benefits, including reducing the risk of non-communicable diseases, improving mental health and well-being, and increasing lifespan. Additionally, this amount of physical activity can be achieved through a variety of activities, including brisk walking, cycling, swimming, or playing sports.

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

Answer:

2(-12), -1(24), 6(-4)

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

Using proportions, it is found that one sandwich costs $4.25.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering x as the cost of a sandwich, the total cost is given as follows:

1.08(3x + 1.75) + 5 = 20.66.

The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:

1.08(3x + 1.75) = 15.66

3x + 1.75 = 14.5

3x = 12.75

x = 12.75/3

x = 4.25.

Hence one sandwich costs $4.25.

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The mode is the option most often in a data series.

In the case the Business

_________________

In this data series business is the option most often

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c