Write a function that represents the balance after t years.

$2000 deposit that earns 5% annual interest compounded quarterly

y =

Answer: it’s A

Step-by-step explanation: I just did the quiz

y = 1.5x + 0.5 is the equation of the line passing through the coordinate points

The formula for finding the equation of a line in slope-intercept form is expressed as:

y =mx + b

where:

m is the slope

b is the intercept

Determine the slope

slope = 5-2/3-1

slope = 3/2

slope = 1.5

Determine the y-intercept

y = mx + b

5 = 1.5(3) + b

5 = 4.5 + b

b = 0.5

Hence the required equation of the line passing through ( 1,2) and (3,5) is

y = 1.5x + 0.5

Learn more on equation of a line here: https://brainly.com/question/18831322

#SPJ1

Complete question

What's the equation of a line that passes through (1,2) (3,5)?

The indoor temperature ranges between 68.5 and 76.5 degrees Fahrenheit.

Given data;

According to the equation |x - 72. 5| = 4, the home's heating system is configured to maintain the minimum and maximum temperatures (in degrees Fahrenheit).

To find the minimum and maximum temperatures in the house,

We know that modulus is used to make a negative value into a positive;

|x - 72. 5| = 4

|A| = -A < x < A

|x - 72. 5| = 4

⇒ x - 72.5 = -4  x - 72.5 = +4

   x = 72.5 - 4    x = 4 + 72.5

   x = 68.5         x = 76.5

Hence, the minimum and maximum temperatures in the house are 68.5 and 76.5 Fahrenheit.

To learn more about Fahrenheit click here:

brainly.com/question/516840

#SPJ4

Answer:

A t-test is a statistical test that is used to determine whether there is a significant difference between the means of two groups. If the t-test shows that the results are not statistically significant, it means that there is not a significant difference between the means of the two groups. This could be due to a variety of factors, including small sample size, high variance within the groups, or a lack of a real difference between the groups. It is important to interpret the results of a t-test in the context of the research question being asked and the limitations of the study.

Step-by-step explanation:

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

229

Step-by-step explanation:

363 -892=229

229+363=892

Answer:

I think combining like terms

Step-by-step explanation:

Answer:

10

And 4

Step-by-step explanation:

Answer:

2.71

Step-by-step explanation:

Given 8 - 2/3 = 8(3/3) - 2/3 = 24/3 - 2/3 = 22/3 = 7.333 then the radical is

7.333**(1/2) = 2.71

Answer:

1: 30 degrees

Step-by-step explanation:

In Physics, we have the law of reflection. This law states that when light rays hit the smooth surface of mirror or any smooth polished surface, the angle of incidence is equivalent to the angle of reflection.

Mathematically:

Angle of incidence = Angle of reflection

From the above question, the angle of incidence is on a smooth plane mirror = 30°

Since:

Angle of incidence = Angle of reflection

30° = 30°

Therefore, based on the law of reflection, the Angle of reflection = 30°

It will take 15 months for the number of basic subscriptions to match the number of deluxe subscriptions.

Let's denote the number of months passed by "m".

In m months, the number of basic subscriptions will be 288 - 5m (since 5 basic subscriptions are decreasing each month), and the number of deluxe subscriptions will be 93 + 8m (since 8 deluxe subscriptions are increasing each month).

We want to find out when the number of basic subscriptions will match the number of deluxe subscriptions, so we can set the two expressions equal to each other:

288 - 5m = 93 + 8m

We can then solve for m:

288 - 93 = 8m + 5m

195 = 13m

m = 15

To learn more about subscriptions click on,

https://brainly.com/question/11515368

#SPJ1

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

(3p-5 )(q+2)

Step-by-step explanation:

3pq + 6p - 5q -10

3p (q+2) -5 (q+2)

(q+2) (3p-5)

That is your complete answer

The given series Σ (4 + 3n) / (5n) converges.

To determine whether the series Σ (4 + 3n) / (5n) converges or diverges, we can use the limit comparison test.

let's rewrite the series using summation notation:

Σ (4 + 3n) / (5n) = Σ [(4/5n) + (3n/5n)] = Σ (4/5n) + Σ (3n/5n)

let's split the series into two separate series:

Series 1: Σ (4/5n)

Series 2: Σ (3n/5n)

analyze each series separately:

Series 1: Σ (4/5n)

To determine the convergence or divergence of this series, we can take the limit as n approaches infinity:

lim (n→∞) (4/5n) = 0

The limit of the terms in Series 1 is 0, indicating that this series converges.

Series 2: Σ (3n/5n)

Σ (3n/5n) = Σ (3/5)

This is a constant series with a fixed value of 3/5. A constant series always converges.

Since both Series 1 and Series 2 converge, the original series Σ (4 + 3n) / (5n) also converges.

Learn more about series at

https://brainly.com/question/24232600

#SPJ4

Jaylon and Paula should expect the pointer to land on 4 around 30 and 43 times respectively.

A probability calculated by a series of tests is known as experimental probability.

The given table is as follows:

              1    2    3    4

Jaylon:   6    8    9    7

Paula:    8     5     7   10

To determine the experimental probability of the pointer landing on 4 for Jaylon, we add up the number of times the pointer landed on 4 for Jaylon and divide by the total number of spins:

Experimental probability for Jaylon = (number of times the pointer landed on 4 for Jaylon) / (total number of spins)

= 7 / 30

Similarly,

Experimental probability for Paula:

= 10 / 30

Expected number of times the pointer will land on 4 = (experimental probability) x (total number of spins)

For Jaylon: (7 / 30) × 130 = 30.33

For Paula: (10 / 30) × 130 = 43.33

Therefore, Jaylon and Paula should expect the pointer to land on 4 around 30 and 43 times respectively.

Learn more about probability here:

brainly.com/question/11234923

#SPJ9

The missing table has been attached below.

Overall, the testing facility concluded that the brush tee would be a better option for golfers looking to improve their drives.

An independent golf equipment testing facility compared the difference in the performance of golf balls hit off a brush tee to those hit off a 4 yards more tee. A'Air Force One DFX driver was used to hit the balls, with an average swing speed of 100 miles per hour. The testing facility wanted to determine which tee would perform better and whether it would be beneficial to golfers to switch to a different tee.

The two different types of tees were the brush tee and the 4 Yards More tee. The brush tee is designed with bristles that allow the ball to be suspended in the air, minimizing contact between the tee and the ball. This design is meant to reduce spin and allow for longer and straighter drives. On the other hand, the 4 Yards More tee is designed to be more durable than traditional wooden tees, and its design is meant to create less friction between the tee and the ball, allowing for longer drives.

The testing results showed that the brush tee was able to create longer and straighter drives than the 4 Yards More tee. This is likely due to the brush tee's design, which allows for less contact with the ball, minimizing spin and creating longer and straighter drives.

To Know more about average visit:

https://brainly.com/question/24057012

#SPJ11

The volume of the resulting solid is (26π/3) cubic units.

To find the volume of the solid generated by rotating the region bounded by the curves x = (y - 6)², x = 25, about the axis y = 1, we will integrate the cylindrical shells along the y-axis.

The limits of integration for y are from y = 1 to y = 11, as determined earlier.

The differential volume of a cylindrical shell is given by dV = 2πrh dy, where r is the distance from the axis of rotation to the curve, h is the height of the cylindrical shell, and dy is the thickness of the shell.

In this case, the radius of the cylindrical shell is r = 1, and the height of the cylindrical shell is h = x₁ - x₂ = 25 - (y - 6)².

Thus, the differential volume becomes dV = 2π(1)(25 - (y - 6)²) dy.

We can now integrate this differential volume over the range of y = 1 to y = 11 to find the total volume V:

V = ∫[1,11] 2π(25 - (y - 6)²) dy

Expanding and simplifying the integral:

V = 2π ∫[1,11] (25 - (y - 6)²) dy

V = 2π ∫[1,11] (25 - (y² - 12y + 36)) dy

V = 2π ∫[1,11] (25 - y² + 12y - 36) dy

V = 2π ∫[1,11] (-y² + 12y - 11) dy

Integrating the terms individually:

V = 2π [-y³/3 + 6y² - 11y] |[1,11]

V = 2π [-(11³/3) + 6(11²) - 11(11)] - [-(1³/3) + 6(1²) - 11(1)]

V = 2π [-1331/3 + 726 - 121] - [-1/3 + 6 - 11]

V = 2π [-1331/3 + 726 - 121 + 1/3 - 6 + 11]

V = 2π [-604/3 + 616 + 1/3]

V = 2π [13/3]

Simplifying further:

V = (26π/3)

Therefore, the volume of the resulting solid is (26π/3) cubic units.

To know more about volume, refer here:

https://brainly.com/question/2900556

#SPJ4

Answer:

Slope Rise/Run

count from one point to another by going up or down then left or right if is down is negative if is left is negative but two negatives equal a positive

Have a nice day/night HAPPY THANKSGIVING!!!

Step-by-step explanation:

Answer and Step-by-step explanation:

As we know that

\(Perimeter\ of\ rectangle = 2\times (length + breadth)\)

Given that

The perimeter of a rectangle is  16  inches i.e length and breadth should be measured by that way in which the perimeter of rectangle comes 16 inches

We considered four way of measuring the perimeter

Length  Width  Perimeter

    1            7           16

    2            6          16

    3            5           16

    4            4           16

Simple it is as we multiply the 8 by 2 it gives 16 inches and the same is displayed above

So there are four combinations of 8 how it came.

Answer:

A

Step-by-step explanation:

Edgenuity

Answer:

z = 4

Step-by-step explanation:

-6 + 3z = 6

+6.           +6

3z = 12

/3.      /3

z = 4

Answer:

you will save 7.50$ and the sales price will be 42.50$

Step-by-step explanation:

15% of 50 is 7.5

Answer is 4060

hope this is helpfulhelpful

Answer:

65 miles a day

Step-by-step explanation:

325/5= 65

Answer:

2... i think

step by set explanation:

Answer:

X

Step-by-step explanation:

KHAN ACADEMY

Since the given triangle is a right triangle, we can solve the missing side using the trigonometric functions of the angle.

The trigonometric function that involves the two legs of the triangle and not the hypotenuse is the tangent.

then,

solve the equation for x

The coefficient of determination, also known as R-squared, is a statistical measure that represents the proportion of the variance in a dependent variable that is predictable from an independent variable or variables. It is used to evaluate the goodness of fit of a regression model. The formula for calculating the coefficient of determination is:

R-squared = 1 - (SSres / SStot)

where SSres is the sum of squares of residuals and SStot is the total sum of squares.

The sum of squares of residuals is calculated by subtracting each predicted value from its corresponding actual value, squaring the difference, and adding up all the squared differences. The total sum of squares is calculated by subtracting the mean of the dependent variable from each actual value, squaring the difference, and adding up all the squared differences.

The coefficient of determination ranges from 0 to 1, with 0 indicating that the model does not explain any variability in the dependent variable and 1 indicating that the model explains all the variability in the dependent variable. A higher R-squared value indicates a better fit between the regression model and the data.

It is important to note that R-squared should not be used as the sole criterion for evaluating a regression model. Other factors such as statistical significance, residual plots, and out-of-sample prediction accuracy should also be considered.

To know more about coefficient of determination refer here:

https://brainly.com/question/31891074#

#SPJ11

As per the concept of margin of error, the standard deviation increases as the margin of error increases.

The term margin of error is referred as the estimate of a small sample drawn from a relatively large population data.

Here the margin of error is usually governed by parameters such as standard deviation of population, sample size and desired confidence level.

Here we have given that for fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.

And we need to find the missing term in the statement.

Here let us consider that the following values are represented the given situation,

=> σ = Standard deviation for population

=> m = Margin of error

=> Z = Empirical value of Z-score at a given confidence level

Then the minimum sample size for a given confidence level is written as

=> (Z x σ)²/m²

Here from the above given formula it can be inferred that the minimum sample size is directly related to the population standard deviation. Therefore, the minimum sample size required would increase with the increase in population standard deviation.

To know more about Margin of error here.

https://brainly.com/question/29101642

#SPJ4