Multiple step problem
-6 = 2 (w+5) ​

Answer: (-1,2)

Step-by-step explanation:

Your solution is the intersecting point.

Answer:

X = 93

Step-by-step explanation:

X-45 + X-29 = x + 19

2X - 74 = X + 19

2X - X = 19 + 74

X = 93

HOPE IT HELPED

The cash settlement for both debts using a simple interest rate of 4.5% will be approximately $2553.

To determine the cash settlement for both debts, we need to first calculate the present value of each debt using the simple interest formula, and then sum them up.

Step 1: Convert the interest rate from percentage to decimal.
Interest rate = 4.5% = 0.045

Step 2: Calculate the present value of the first debt ($1000 due in 3 months).
PV1 = Future Value / (1 + (interest rate × time period))
PV1 = $1000 / (1 + (0.045 × (3/12)))
PV1 = $1000 / (1 + 0.01125)
PV1 ≈ $988.89

Step 3: Calculate the present value of the second debt ($1600 due in 6 months).
PV2 = Future Value / (1 + (interest rate × time period))
PV2 = $1600 / (1 + (0.045 × (6/12)))
PV2 = $1600 / (1 + 0.0225)
PV2 ≈ $1564.10

Step 4: Add the present values of both debts to find the cash settlement.
Cash Settlement = PV1 + PV2
Cash Settlement = $988.89 + $1564.10
Cash Settlement ≈ $2553

You can learn more about interest rates at: brainly.com/question/13324776

#SPJ11

Answer:

(3,1)

Step-by-step explanation:

Answer:

32/60 is not a equivalent fraction of 8/12

I hope this helps you.

Answer:

the solution is B

Step-by-step explanation:

For given exponential function f(t), f(7)=24.7.

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Exponential Growth

In Exponential Growth, the quantity increases very slowly at first, and then rapidly. The rate of change increases over time. The rate of growth becomes faster as time passes. The rapid growth is meant to be an “exponential increase”. The formula to define the exponential growth is:

y = a ( 1+ r )ˣ

Where r is the growth percentage.

Exponential Decay

In Exponential Decay, the quantity decreases very rapidly at first, and then slowly. The rate of change decreases over time. The rate of change becomes slower as time passes. The rapid growth meant to be an “exponential decrease”. The formula to define the exponential growth is:

y = a ( 1- r )ˣ

Where r is the decay percentage.

Now,

Given function f(t)=300(0.7)ᵗ

f(7)=300*0.7⁷

f(7)=300*0.0823

f(7)=24.7

To know more about exponential function visit the link

https://brainly.com/question/14355665

#SPJ1

1) The scenario is described by the inequality: 35  +  12C  ≥  100

2) The minimum amount of classes a customer takes to help Rebekah reach her goal is six.

The initial fee is $35.

$12 additional fee per class

The minimum goal is $100.

C is the number of classes.

One-time initial fee + (added charge per class) multiplied by the number of classes

The scenario is described by the inequality:

35  +  12C  ≥  100

C) To determine the smallest number of courses a customer can take in order for Rebekah to fulfill her goal.

12C  ≥  100 - 35

12C  ≥  65

C   ≥   65 / 12

C  ≥  5.42

The minimum number of courses a customer takes to help Rebekah reach her goal is six.

To know more about the inequality, here

https://brainly.com/question/16914953

#SPJ4

The complete question is-

Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of 12 per class taken. Rebekah's goal is for each customer to spend at least 100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal.

Let C represent the number of classes a customer takes.

1) Which inequality describes this scenario?

2) What is the minimum number of classes a customer can take for Rebekah to meet her goal?

The probability that the average size of the fish you caught is more than 13 inches is approximately 0.0918, or about 9.18%.

We can use the Central Limit Theorem to approximate the distribution of the sample mean. According to the theorem, the sample mean of a sufficiently large sample will be approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, we have a sample size of 4, which may not be considered sufficiently large, but we can still use the approximation. Thus, the distribution of the sample mean can be approximated as:

mean = 11

standard deviation = 3 / sqrt(4) = 1.5

To find the probability that the average size of the fish you caught is more than 13 inches, we need to standardize the sample mean using the z-score formula:

z = (x - mean) / standard deviation

where x is the sample mean we want to find the probability for. Plugging in the values, we get:

z = (13 - 11) / 1.5 = 1.33

Now, we need to find the probability of getting a z-score greater than 1.33 in a standard normal distribution table or calculator. Using a calculator or statistical software, we find that this probability is approximately 0.0918.

Therefore, the probability that the average size of the fish you caught is more than 13 inches is approximately 0.0918, or about 9.18%.

Learn more about probability at

brainly.com/question/31120123

#SPJ4

Answer: 4/77

Step-by-step explanation:

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

The probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/4.A spinner is a gambling tool used for games and competitions. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result.

When it stops, a pointer will land on one of many different numbered segments of the spinner, each of which corresponds to a particular reward or consequence. Spinning games are frequently based on chance, and players frequently wager money or other objects on the result. Probability is the study of the likelihood of events taking place.

Probability is expressed as a fraction, decimal, or percentage and is always between 0 and 1. The probability of an event can be calculated using the following formula: Probability = number of favorable outcomes / total number of possible outcomes. Given the spinner has a polka-dot section, 2 white sections, and 1 shaded section, it has a total of 4 sections.

Therefore, the probability of the spinner stopping at a polka-dot section is 1/4.Also, after the first spin, the spinner still has 2 white sections. Therefore, the probability of stopping at a solid white section is 2/4 or 1/2 (since there are only 2 possible outcomes after the first spin).

To determine the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section, we must multiply the probability of each event.1/4 × 1/2 = 1/8

Hence, the probability of the spinner stopping at a polka-dot section and then stopping at a solid white section is 1/8.

Know more about  probability  here:

https://brainly.com/question/25839839

#SPJ8

Answer:

Step-by-step explanation:

4/56\8

Answer:

n = -21 + 15(n-1)

a). The R² of 0.9128 indicates that the model explains 91.28% of the variation in unemployment rates.

b) To find the average unemployment rate in the early fourth quarter period of 1966 with constant vacancy levels, set D = 0 in the regression equation: UN = 2.7491 - 1.5294V.

a. The regression results show that the unemployment rate (UN) is influenced by job vacancies (V), the time period (D), and their interaction (D.V.). T

he positive coefficient for D (1.1507) indicates a higher unemployment rate after 1966-IV due to policy changes, while the negative coefficients for V (-1.5294) and the interaction term (-0.8511) imply that a higher job vacancy rate reduces unemployment, with this effect being less pronounced after 1966-IV.

b. Then, plug in the vacancy rate (V) to calculate the average unemployment rate.

To know more about unemployment rates click on below link:

https://brainly.com/question/30115084#

#SPJ11

Answer:

a = 6

Step-by-step explanation:

(3.14 * 18) * 17.5 = 3.14 * (3a * 17.5)

3.14(3x * 17.5) = (3.14 * 18) * 17.5

3.14(3a * 17.5) = 3.14 * 18 * 17.5

3.14(3a * 17.5) = 989.1

3.14 * 3a * 17.5 * 100 = 989.1 * 100

16485a = 98910

a = 98910/16485

a = 6

Solving the equation,  (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5), the value of a is determined as: 6.2.

Given equation: (3.14 × 18) × 17.5 = 3.14 × (3a × 17.5)

Step 1: Simplify the left side:

3.14 × 18 × 17.5 = 55.89 × 17.5

= 976.575

Step 2: Simplify the right side:

3.14 × (3a × 17.5) = 52.5 × 3a

= 157.5a

Step 3: Equate the left and right sides:

976.575 = 157.5a

Step 4: Solve for the value of a by dividing both sides by 157.5:

976.575 / 157.5 = a

6.2 = a

a = 6.2

Therefore, the value of a is 6.2.

Learn more about Variable in an Equation on:

https://brainly.com/question/29283831

#SPJ6

The number of pheasants in 2012 was 1832. The number of pheasants in 2016 was 422. The minimum viable density is 100 pheasants per hectare.

So, we need to find out the year in which the population will fall below 100 pheasants per hectare.

First, we need to find out the rate of decline per year which can be calculated as follows: Rate of decline per year = (1832 - 422) / (2016 - 2012)= 1410 / 4= 352.5 per yearNow, let the number of pheasants per hectare be y after t years from 2012.

Then, y = 1832 - 352.5t (as we know the rate of decline per year)We need to find the year in which the population will fall below 100 pheasants per hectare. So, we need to solve the equation:1832 - 352.5t = 100⇒ 352.5t = 1732⇒ t = 1732 / 352.5⇒ t = 4.91 Therefore, the population will fall below the minimum viable density of 100 pheasants per hectare after 4.91 years from 2012, which is around 2017 or 2018.

Learn more about density

https://brainly.com/question/29775886

#SPJ11

Answer: -1/6

You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.

4/12 - 6/12 = -2/12 which you can simplify further to get -1/6

Answer:

3

Step-by-step explanation:

3 x (2) - (3)

The otter takes approximately 12.10 seconds to get to the other side if it swims directly across the river. The current will have carried the otter approximately 30.25 meters downstream when it reaches the other side. The otter's velocity, relative to the bank from where it started, is 0.25 m/s.

a) To find the time it takes for the otter to get to the other side, we can use the concept of relative velocity. The otter's swimming speed is 2.75 m/s, and the current velocity is 2.5 m/s. Since the otter is swimming directly across the river, its swimming speed and the current speed are perpendicular. Using the Pythagorean theorem, we can find the resultant velocity of the otter:

Resultant velocity = √(swimming velocity² + current velocity²)

= √(2.75² + 2.5²)

≈ √(7.5625 + 6.25)

≈ √13.8125

≈ 3.72 m/s (rounded to two decimal places)

The time it takes to cross the river is given by the distance divided by the resultant velocity:

Time = Distance / Resultant velocity

= 45.0 m / 3.72 m/s

≈ 12.10 seconds (rounded to two decimal places)

b) To find how many meters downstream the current carries the otter when it gets to the other side, we can calculate the distance using the time it takes to cross and the current velocity.

Distance downstream = Time × Current velocity

= 12.10 s × 2.5 m/s

= 30.25 m

c) The otter's velocity, relative to the bank from where it started, can be calculated by subtracting the current velocity from the otter's swimming velocity.

Relative velocity = Swimming velocity - Current velocity

= 2.75 m/s - 2.5 m/s

= 0.25 m/s

To know more about velocity,

https://brainly.com/question/1757815

#SPJ11

It can be stated that there exist 63,360 ternary sequences of digits selected from {0, 1, 2} with a length of twelve, which contain precisely three 1s and two 0s.

The problem is asking us to find out how many ternary sequences of digits are there that are chosen from {0, 1, 2} of length twelve, and have exactly three 1's and two 0's.

Therefore, there will be a total of 7 digits (12 - 3 - 2 = 7) that could be 1 or 2. So, let's solve it in steps.

Step 1: The number of ways we can choose 3 positions out of 12 for 1s is C (12,3).

Step 2: The number of ways we can choose 2 positions out of 9 (because there are already 3 1s and 2 0s) for 0s is C (9,2).

Step 3: We have three digits left that can be either 1 or 2. So, there will be 2 options for each of these digits, and the total number of options will be

2 × 2 × 2 = 8.

Step 4: So, the total number of sequences will be obtained by multiplying the results of Steps 1, 2, and 3. i.e.

C (12,3) × C (9,2) × 8

⇒ ¹²C₃ × ⁹C₂ × 8

⇒ 220 × 36 × 8 = 63360.

Therefore, there are 63,360 ternary sequences of digits chosen from {0, 1, 2} of length twelve that have exactly three 1s and two 0s.

To know more about the "ternary sequences": https://brainly.com/question/9083389

#SPJ11

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

Answer: wannna know the answer its YOUR MOM

Step-by-step explanation:

i F her yesterday

Just kidding

Answer:

..

Step-by-step explanation:

The domain of ggg is option D: -7 ≤ x ≤ 4.

To determine the domain of a function, we need to identify the set of all possible values for the independent variable, in this case, x, for which the function is defined.

In option D, the domain is specified as -7 ≤ x ≤ 4. This means that x can take any value within the closed interval from -7 to 4, inclusive.

In other words, the domain of ggg includes all real numbers between -7 and 4, including -7 and 4 themselves. This interval represents the range of values for x that satisfy the given conditions for the function ggg.

Learn more about  function from

https://brainly.com/question/11624077

#SPJ11

Answer:

terminating decimal

Step-by-step explanation:

11 / 128 = 0.0859375

it is terminating because the numbers stop and don't go on forever.

\((a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3\)

\((b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7\)

\((c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5\)

\((d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2\)

Hope it helps.

Do comment if you have any query.

Answer:

C. 6.8, because |6.8|= 6.8

Step-by-step explanation:

The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:

Find the magnitude of the following numbers:

i. -20

ii. 10

iii. -5

iv. 2

The magnitudes of the numbers can be expressed as:

i. |-20| = 20

ii. |10| = 10

iii. |-5| = 5

iv. |2| = 2

Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.

To find the probability of drawing a marble and then another marble from the bag, we need to multiply the probabilities of the individual events. This is because the two events are independent, and the outcome of the first event does not affect the outcome of the second event.

Let P(R) denote the probability of drawing a red marble, and P(B) denote the probability of drawing a blue marble. We are given that the bag contains red, blue, and green marbles, but we do not know the exact numbers of each color.

Since we replace the marble after each draw, the probability of drawing a red marble and then a blue marble can be found as:

P(RB) = P(R) x P(B)

To find P(R), we need to divide the number of red marbles in the bag by the total number of marbles. Similarly, to find P(B), we need to divide the number of blue marbles in the bag by the total number of marbles. However, since we do not know the exact numbers of each color, we cannot compute these probabilities exactly.

Therefore, we can only say that the probability of drawing a marble and then another marble is equal to the product of the probabilities of drawing each marble separately. In other words, the probability of drawing a red marble and then a blue marble is:

P(RB) = P(R) x P(B)

where P(R) and P(B) are the probabilities of drawing a red marble and a blue marble, respectively, which we cannot determine without more information about the contents of the bag.

For more details about probability click here:

https://brainly.com/question/30034780#

#SPJ11

Answer:

The rate of change of a linear function is constant and is equal to the slope of the line.

To find the slope of the line, we can use any two points from the table. Let's use the first and last points:

slope = (19 - 3) / (12 - 0) = 16 / 12 = 4 / 3

This means that the function has a rate of change of 4/3, or 1.33.

Now, let's check each of the answer choices:

a) (18, 27) - This point is not in the table and does not have the correct coordinates.

b) (18, 27) - This point is not in the table and does not have the correct coordinates.

c) (27, 18) - This point is not in the table and does not have the correct coordinates.

d) (27, 18) - This point is not in the table and does not have the correct coordinates.

None of these points are in the table, and therefore none of them could be an ordered pair in the table.