Write an equation that represents a function that relates the value of Ethan’s car in dollars, g(t), and the time in years since he bought the car.

Answers

Answer 1

An equation that represents a function that relates the value of Ethan’s car in dollars, g(t), and the time in years since he bought the car.

\(g(t) = P * e^{(-rt)\)

Assuming that Ethan's car depreciates in value over time, a commonly used function to model such depreciation is an exponential decay function of the form:

\(g(t) = P * e^{(-rt)\)

where:

g(t) is the value of the car in dollars at time tP is the initial value (or purchase price) of the carr is the annual depreciation rate as a decimalt is the time in years since the car was purchasedTherefore, the equation that represents the function relating the value of Ethan's car in dollars, g(t), and the time in years since he bought the car is:

\(g(t) = P * e^{(-rt)\)

where P, r, and t are specific values based on the purchase price and depreciation rate of Ethan's car, as well as the time that has passed since he bought it.

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Related Questions

Solve these pair of simultaneous equations.In each case the first step is to subtract the two equations.Give both solutions;x and y.
x-6y=32
x-4y =24



2x-3y =2
2x + 4y = 44
Please work it out ​

Answers

X-6y=32 Eqn(1)
X-4y=24. Eqn(2)

From eqn(1)
X=32+6y. Eqn(3)
Put Eqn 3 to Eqn 2
(32+6y)-4y=24
32+6y-4y=24
32+2y=24
2y=24-32
Y=-8/2
Y =-4

Put y into Eqn 3
X=32+6y
X=32+6(-4)
X=32-24
X=8

Salesforce validation rule question.
An object called Student has two picklists. One is percentage and options: 90, 80, 70, 60,50 and other one is grade with options: A, B, C, D, F.
write a validation rule using ispickval when percentage is selected as 90, the grade automatically selects A.

Answers

To create a validation rule in Salesforce that automatically selects grade A when the percentage is set to 90, you can use the ISPICKVAL function. This function allows you to check the selected value of a picklist field and perform actions based on the value. By using ISPICKVAL in the validation rule, you can ensure that the grade field is populated with A when the percentage field is set to 90.

To implement this validation rule, follow these steps:

Go to the Object Manager in Salesforce and open the Student object.

Navigate to the Validation Rules section and click on "New Rule" to create a new validation rule.

Provide a suitable Rule Name and optionally, a Description for the rule.

In the Error Condition Formula field, enter the following formula:

AND(ISPICKVAL(Percentage__c, "90"), NOT(ISPICKVAL(Grade__c, "A")))

This formula checks if the percentage field is selected as 90 and the grade field is not set to A.

In the Error Message field, specify an appropriate error message to be displayed when the validation rule fails. For example, "When percentage is 90, grade must be A."

Save the validation rule.

With this validation rule in place, whenever a user selects 90 in the percentage field, the grade field will automatically be populated with A. If the grade is not set to A when the percentage is 90, the validation rule will be triggered and display the specified error message.

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How much of an 8% solution should we use to make 100g of 3% solution?Please use the picture for the format :) thank you!!

How much of an 8% solution should we use to make 100g of 3% solution?Please use the picture for the format

Answers

Answer:

x = -0.6

Explanation:

The equation that represents this scenario is:

0.7x + 0.1*3 = 0.4(x + 3)

Solving for x, we have:

0.7x + 0.3 = 0.4x + 0.12

0.7x - 0.4x = 0.12 - 0.3

0.3x = -0.18

x = -0.18/0.3

= -0.6

37.5 is the answer for your question

PLS HELP ASAP ILL GIVE BRAINLKEST PLS HELP THANKS PLS

PLS HELP ASAP ILL GIVE BRAINLKEST PLS HELP THANKS PLS

Answers

Answer:

B

Step-by-step explanation

The first piont is (-3,1) and the second is (0,4)

Answer:

The answer is the second one:

oreldered pair (-3,1); y-intercept 4

Step-by-step explanation:

hoped that helped

factor the trinomial below. x^2+13x+42

Answers

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Which, if any, of the following generalized formulas does not exist for interhalogen compounds? (X and Y represent different halogens.)
XY
XY2
XY3
XY5
All the above can represent stable interhalogen compounds.

Answers

All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.

The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.

Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.

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A box contains 24 red balls, 27 green balls, and 30 blue balls. if three balls are drawn in succession without replacement. What is the probability that: a.) All three balls are red b.) All three balls are green c.) All three balls are blue

Answers

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is calculated based on the number of favorable outcomes divided by the total number of possible outcomes.

To solve this problem, we will use the formula for probability of independent events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where P(A) is the probability of the first event, P(B|A) is the probability of the second event given that the first event has occurred, and P(C|A and B) is the probability of the third event given that the first two events have occurred.

a.) Probability of drawing three red balls in succession:

P(RRR) = (24/81) x (23/80) x (22/79) = 0.027 or 2.7%

b.) Probability of drawing three green balls in succession:

P(GGG) = (27/81) x (26/80) x (25/79) = 0.061 or 6.1%

c.) Probability of drawing three blue balls in succession:

P(BBB) = (30/81) x (29/80) x (28/79) = 0.080 or 8.0%

Therefore, the probability of drawing all three balls of the same color without replacement from the box are:
a.) 2.7%
b.) 6.1%
c.) 8.0%

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Order the numbers from least to greatest 5/9, 7/12, 3/4, 13/18

Answers

Answer:

5/9 , 7/12 , 13/18 , 3/4

Step-by-step explanation:

give brainliest pls

what does the y-variable represent in kelly's system of linar equations?

what does the y-variable represent in kelly's system of linar equations?

Answers

Answer:

y represents the number of times the arrow landed in the bull's-eye

The four highest scores on the floor exercise at a gymnastics meet were 9.682, 9.22, 9.356, and 9.5 points.

Select the numbers that make the statement true.

The lowest of these four scores was .
The highest of these four scores was

Answers

Answer:

Step-by-step explanation

The four highest scores on the floor exercise at a gymnastics meet were 9.675, 9.25, 9.325, and 9.5 points. Choose the numbers that make the statement true. The lowest of these four scores was 9.675 / 9.25 / 9.325 / 9.5 points. The highest of these four scores was 9.675 / 9.25 / 9.325 / 9.5 points.

5.0

0

1

A submarine dives to a depth of 650 ft. below the surface of the ocean. Later it climbs 150 ft. before descending an additional 80 ft. Use an integer to represent the depth of the submarine. ​

Answers

Answer:

-580

Step-by-step explanation:

go down is negative, go up is positive

so -650+150-80= -580

In ΔNOP, p = 38 cm, n = 13 cm and ∠O=152°. Find the area of ΔNOP, to the nearest square centimeter.

Answers

Answer:

Step-by-step explanation:

Answer-116

Enter the numerator and the denominator of the fraction in simplest form that is equal to the decimal shown.

Answers

Can you add the picture so I know what it is.

Exercise 2.5. Let X = {a,b,c}. Write down a list of topologies on X such that every topological space with three elements is homeomorphic to (X, T) for exactly one topology T from this list.

Answers

To create a list of topologies on X in which every topological space with three elements is homeomorphic to (X, T) for exactly one topology T from this list is a task that involves creating a list that satisfies certain conditions. The topologies on X are listed below:

The indiscrete topology {∅,X}.

The discrete topology ℘(X)

The following topology T1 = {∅, {a}, X}.

The following topology T2 = {∅, {a, b}, X}.

The following topology T3 = {∅, {a, c}, X}

The following topology T4 = {∅, {b, c}, X}

The following topology T6 = {∅, {a}, {a, c}, X}.

The following topology T7 = {∅, {a}, {b, c}, X}.

The following topology T8 = {∅, {a, b}, {a, c}, X}.

The following topology T9 = {∅, {a, b}, {b, c}, X}.

The following topology T10 = {∅, {a, c}, {b, c},

The above list of topologies on X satisfies the following conditions:

very topological space with three elements is homeomorphic to (X, T) for exactly one topology T from this list.iii.

None of the topologies in the list is homeomorphic to any other topology in the list.

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classify the quadrilateral by its most specific name. then find the missing angle measure(s)

classify the quadrilateral by its most specific name. then find the missing angle measure(s)

Answers

The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

How to determine the quadrilateral

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Two pairs of adjacent sides are equal.Two diagonals intersect each other at right angles.The longer diagonal bisects the shorter diagonal.The angles opposite to the main diagonal are equal.

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

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The quadrilateral is a kite and the missing angles are 105° and 45°

What is a kite?

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

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Zoe says that 2³.42 can be rewritten as 86. Juana says that it can be rewritten as 85. Danladi says that it cannot be rewritten as either of these expressions. Who is correct? Explain.​

Answers

Danladi says that it cannot be rewritten as either of these expressions. He is correct.

How to calculate the value?

It should be noted that 2³ × 42 will be:

= 2³ × 42

= 8 × 42

= 336

Therefore, Zoe says that 2³.42 can be rewritten as 86 and Juana says that it can be rewritten as.85. They're both wrong.

In the other hand, Danladi says that it cannot be rewritten as either of these expressions. Therefore, he is correct.

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What is the greatest common factor of 7 and 28?
el

Answers

7 is the greater common factor hope that’s helpful have a good day

ū= (5,8)
Find the direction angle of ū.
Enter your answer as an angle in degrees between 0 and 360° rounded to the nearest hundredth.

Answers

Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

how to solve hcf a^2+5a+6

Answers

Answer:

a²-a+6a+6=0

a(a-1)+6(a-1)=0

(a-1)(a+6)=0

a=1,a=-6

Georgie buys a pack of chocolate which has 18 small chocolate bars. She ate three bars in the morning, Later in the
day, Georgie's brother ate three fifth of the chocolates bar that were left, what fraction of the chocolate bars is left in
the packet?

Answers

So if Georgie inceptively eats three small chocolate bars that would make fifteen remaining.

So if Georgie’s brother ate 3/5 you would figure out how many candy bars he ate by:

15 multiplied by the 3/5 = 9

So out of the 18 candy bars Georgie ate 3 and Georgie’s brother ate 9.

Write an equivalent
expression for 5(2x + 3).

Answers

Answer:2(5x + 7.5)

Step-by-step explanation:It correct

Pls mark brainlest

5(2x+3) 299929292922

what is a solution of the inequality shown below? -1 + x < -10​

Answers

let's solve :

-1 + x < -10

x < -10 + 1

x < -9

\(\\ \sf\longmapsto -1+x<-10\)

\(\\ \sf\longmapsto x<-10+1\)

\(\\ \sf\longmapsto x<-9\)

Hence solved

A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?

Answers

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

2. Causation implies a cause and effect relationship. Which pair BEST describes a
causation relationship?
a) A child's age and shoe size
b) The number of ice cream cones sold and the amount of sunscreen sold
c) The temperature at a football game and the amount of hot drinks sold
d) The number of people attending a ballgame and the length of the ballgame
el

Answers

Answer:

C

Step-by-step explanation:

I would say that if it were not outside you would tend to sell more drinks and / or if it were cold outside you would tend to sell less drinks

answer

C - the temperature at a football game and the amount of drinks sold.

explanation

a child’s shoe size is not determined by age, but by genetics. yes children’s feet grow larger as they age, but the shoe size is not CAUSED by the age.

the amount of ice cream and sunscreen sold has no causation.

the temp at a football game and the amount of drinks sold is an example of a causal relationship. the amount of drinks sold is determined or caused by the temperature outside. more people will buy hot drinks if it is cold outside but if it’s not cold outside less people will buy hot drinks.

the number of people attending a ball game does not determine the length of the game.

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Select the correct answer. andrea plans to go fishing in the morning, so she checks the weather forecast. the forecast shows a high-pressure area forming near her fishing spot. using the weather data below, predict the possible weather conditions for andrea’s trip. time (a.m.) temperature (°c) pressure (mb) 7.00 14 995 8.00 14 1001 9.00 14 1113 10.00 15 1120 a. cloudy skies with minimal precipitation b. clear skies with minimal precipitation c. cloudy skies with moderate precipitation d. clear skies with heavy precipitation

Answers

The possible weather conditions for Andrea’s trip are clear skies with minimal precipitation.

The correct option is B

What is weather forecast?

Applying science and technology to forecast the weather is known as weather forecasting. It involves determining the atmosphere's state at a specific location and moment in time. For millennia, people have made impromptu weather predictions, and since the 19th century, formal forecasts have been made.

Biffing:Water vapor condenses in the air and falls to the ground as precipitation as a result of the earth's gravitational attraction.Precipitation, or the change from the liquid to solid state of rain, is strongly correlated with temperature and pressure.As a result, variations in these variables—temperature and pressure—are a sign that precipitation may be on the way.

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I understand that the question you are looking for is:

Andrea plans to go fishing in the morning, so she checks the weather forecast. The forecast shows a high-pressure area forming near her fishing spot. Using the weather data below, predict the possible weather conditions for Andrea’s trip.

A. cloudy skies with minimal precipitation

B. clear skies with minimal precipitation

C. cloudy skies with moderate precipitation

D. clear skies with heavy precipitation

Answer:  B. clear skies with minimal precipitation

Step-by-step explanation:

i got 5 out of 5 on the test

(No links or urls please) Write an equation of a circle that passes through the following points- see image

(No links or urls please) Write an equation of a circle that passes through the following points- see

Answers

Step-by-step explanation:

Step-by-step explanation:

The general equation for a circle is

\( {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \)

where (h, k) is the coordinates of the center of the circle and r is the radius. Since the circle passes through (4, 4) and (-4, -4), its center is located at the origin, which means its equation becomes

\( {x}^{2} + {y}^{2} = {( \sqrt{ {4}^{2} + {4}^{2} } )}^{2} = 32\)

Sonya walks on a treadmill at a constant rate of 3.5 miles per hour. A graph showing the relationship between the time she walks and the distance she travels passes through the origin and through the point (1, 3.5). Name three other points that lie on the graph.

Answers

The other two points on the line are (2, 7) and (4, 14).

What is the slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

Given, Sonya walks on a treadmill at a constant rate of 3.5 miles per hour

it is the slope.

∴ The equation of this line passing through point (1, 3.5) is,

3.5 = 3.5(1) + b.

b = 0.

So, y = 3.5x.

Now the other points can be obtained by choosing some integer values of x.

When x = 2, y = 7 ⇒ (2, 7).

When x = 4, y = 14 ⇒ (4, 14).

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HELP! I'LL GIVE BRAINLIEST!!!!! Which of the following functions best describes this graph?

HELP! I'LL GIVE BRAINLIEST!!!!! Which of the following functions best describes this graph?

Answers

You can use photo math and calculate each equation separately and it shows you the graphs, then pick the answer where the graph looks the same to the question.

hope this helped

if there were 20 dogs and 60 cats at a pet daycare, how many cats would there be if there were 40 dogs and the ratio stayed the same? do not put the unit.

Answers

Therefore, if there were 40 dogs and the ratio stayed the same, there would be 120 cats at the pet daycare.

If the ratio of dogs to cats stays the same, then the ratio of dogs to cats in the two situations will be equal.

The initial ratio of dogs to cats is:

dogs : cats = 20 : 60

= 1 : 3

To maintain the same ratio, the new number of cats (C) can be found by setting up the proportion:

dogs : cats = 40 : C

Using the initial ratio of dogs to cats, we can substitute and simplify:

1 : 3 = 40 : C

Cross-multiplying gives:

C = (3 x 40) / 1

= 120

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A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?

Answers

32 seeds
4:5 ratio
4x2 | 5x2
8:10
40/10 = 4
8 x 4
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