use the simple interest formula to find the ending balance
$4000 at 6.5% for 5 years

To write an equation in slope-intercept form, we can use the given points to find the slope and y-intercept of the line. The equation that represents the amount of water in the can after x seconds is y = -2x + 68.

To write an equation in slope-intercept form, we need to find the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Given that the watering can contains 58 ounces of water after 5 seconds and 28 ounces of water after 20 seconds, we can use these two points to find the slope (m).

m = (28 - 58) / (20 - 5) = -30 / 15 = -2

Next, we can substitute one of the points and the slope into the equation and solve for b:

58 = -2(5) + b

b = 68

Therefore, the equation that represents the amount of water in the can after x seconds is

y = -2x + 68

Therefore, the equation in slope-intercept form that represents the amount y (in ounces) of water in the can after x seconds is y = -2x + 68.

To write the equation in slope-intercept form that represents the amount y (in ounces) of water in the can after x seconds, we need to determine the rate at which the water level decreases over time.

Given data:

- After 5 seconds, the can contains 58 ounces of water.

- After 20 seconds (5 seconds + 15 seconds), the can contains 28 ounces of water.

Let's define our points based on this data:

- First point: (5, 58) (5 seconds, 58 ounces)

- Second point: (20, 28) (20 seconds, 28 ounces)

Now, let's find the slope m of the line passing through these two points. The slope m is calculated as:

[tex]\[ m = \frac{y_2 - y_1}{x_2 - x_1} \][/tex]

[tex]\[ m = \frac{28 - 58}{20 - 5} \][/tex]

[tex]\[ m = \frac{-30}{15} \][/tex]

[tex]\[ m = -2 \][/tex]

Now that we have the slope m, we can use the point-slope form of the equation of a line, [tex]\( y - y_1 = m(x - x_1) \)[/tex], where [tex]\( (x_1, y_1) \)[/tex] is one of our points. Let's use the point (5, 58):

[tex]\[ y - 58 = -2(x - 5) \][/tex]

Now, simplify and solve for y to get the equation in slope-intercept form (y-intercept form), y = mx + b:

[tex]\[ y - 58 = -2x + 10 \][/tex]

[tex]\[ y = -2x + 10 + 58 \][/tex]

[tex]\[ y = -2x + 68 \][/tex]

Answer:

150.92

Step-by-step explanation:

Discrete variables are counted and only take on certain numerical values, while continuous variables are measured and their probability is calculated over a range of values. The difference between them is reflected in their probability distributions: discrete variables create a probability distribution function (PDF), continuous variables form a probability density function (pdf).

Discrete and continuous variables are defined based on how they are measured. Discrete variables are counted, represented by certain numerical values. For instance, the number of books in a backpack or the number of miles you drive to work could be discrete variables.

Continuous variables, on the other hand, are measured. Examples include the distance you drive to work or the weight of a book. A characteristic of continuous variables is that the probability of the variable taking on a single, specific value is zero (P(x = c) = 0), therefore probability is calculated over a range of values.

The distinction between discrete and continuous variables is often highlighted by their probability distribution. Discrete variables create a probability distribution function (PDF), such as counts of chosen values for x. Continuous variables form a probability density function (pdf), which is represented as a curve in the graph, with total probability under the curve equaling 1.

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No, The number 731934030 is not written in standard form.

What is Number system?

A system of writing to express the number is called number system.

Given that;

The number is;

⇒ 7,319,34,030

Now,

Since, We know that;

A number that can be write as a decimal number, between 1.0 and 10, multiplied by a power of 10, is called a standard form.

So, The number 731934030 is not written in standard form.

Thus, The number 731934030 is not written in standard form.

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To find out how many more pigs Jen will have than Marty after Marty gives her 10 pigs, subtract the number of pigs Marty has after giving away 10 from the number of pigs Jen has.

To find out how many more pigs Jen will have than Marty after he gives her 10 pigs, we need to determine the initial number of pigs each of them has. Let's assume Jen has x pigs. Since Marty has 6 more pigs, he has x + 6 pigs. After giving 10 pigs to Jen, Marty will have x + 6 - 10 = x - 4 pigs, and Jen will have x + 10 pigs. Therefore, Jen will have (x + 10) - (x - 4) = x + 10 - x + 4 = 14 more pigs than Marty.

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A polygon is a closed figure with straight line segments that do not cross over each other. Without seeing the actual figures it's impossible to decide, but if any figure has curved lines, is not closed, or has segments that cross, it would not be a polygon.

To determine which figure is not a polygon, we first need to understand what a polygon is. A polygon is a closed figure with a finite number of straight line segments that are connected end to end to form a single shape. The segments should not cross over each other, and the figure must entirely enclose a space.

With this definition, we can examine the provided figures. If any of the figures have curved lines, open sides, or line segments that cross each other, then that figure would not be considered a polygon. Unfortunately, without the visual references of Figures A, B, C, and D, it is impossible to definitively answer which figure is not a polygon. If any figure has one of the aforementioned characteristics, then it would be the correct answer.

For example, if Figure B has curved edges, or if Figure C is not closed, then they would not be polygons. Similarly, if Figure D is a soccer ball with pentagons and hexagons, those shapes are polygons, but if the soccer ball itself is rendered as a three-dimensional spherical object in Figure D, it would not be a polygon.

Answer:

The answer is 20%

Step-by-step explanation:

The percent error is 20%

The percentage is defined as a ratio expressed as a fraction of 100.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Jessie estimated the weight of his cat to be 12 pounds. The actual weight of the cat is 15 pounds.

We have to determine the percent error.

Here the percent error is the percentage of the difference between the estimated weight and actual weight of the cat.

So the percent error is

⇒ the percentage of (15 - 12)/15 = (3/15) = 20 %

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Final answer:

As per the given case, there are 301 watermelons.

Explanation:

To calculate the number of watermelons at the farmer's market, we need to subtract the percentages of apples, oranges, and honeydew melons from the total percentage (100%) and then apply that percentage to the total number of fruits available. The calculations are as follows:

Total percentage of these three fruits: 39% + 28% + 13% = 80%

Percentage of watermelons = 100% - 80% = 20%

So, if 20% of the fruits are watermelons, and there are 1505 fruits in total, we calculate the number of watermelons as follows:

Number of watermelons = 20% of 1505 = 0.20 × 1505 = 301 watermelons

Therefore, there are 301 watermelons for sale at the farmer's market.

We are required to find the unit rate in miles per gallons of gasoline.

The unit rate 360 miles traveled on 12 gallons of gasoline is 30 miles per gallon

Total miles travelled = 360 miles

Total gallons used = 12 gallons

Unit rate in miles per gasoline = Total miles travelled / Total gallons used

= 360 miles / 12 gallons

= 30 miles / 1 gallon

Unit rate in miles per gasoline = 30 miles per gallon

Therefore, the unit rate 360 miles traveled on 12 gallons of gasoline is 30 miles per gallon

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The florist can make 8 identical bouquets with the same combination of roses and daffodils.

To find the largest amount of identical bouquets that can be made with 8 roses and 24 daffodils, we need to determine the highest common factor (HCF) of both numbers. The HCF of 8 and 24 is 8. Therefore, the florist can make 8 identical bouquets with the same combination of 1 rose and 3 daffodils in each bouquet.

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