lydia bought a car for $20,000. it is expected to depreciate at a rate of 10% per year. what will be the value of the car in 2 years? use the formula y=a(1-r) and round to the nearest dollar.

answers:
a. 19,980
b. 16,000
c.16,300
d. 18050

To find the length of one side of the roof, we can use the concept of an isosceles triangle. Since the triangle is isosceles, two sides have the same length, while the third side represents the extension of the roof.

To calculate the length of one side, we can use the Pythagorean theorem. The height of the triangle is given as 13.5 feet, and the base is given as 36 feet. The two equal sides, which represent the length of the roof, can be denoted as "x." Using the Pythagorean theorem, we can solve for "x" by applying the formula: x^2 + (36/2)^2 = 13.5^2. By solving this equation, we can determine the length of one side of the roof.

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Answer:

The correct option is a) 3n - 4 = 15

Step-by-step explanation:

The product of 3 and a number means 3 multiplied by a number (n)

So it'll be 3*n or simply 3n

Now, it says 4 less than the product

So 4 less than 3n

That is equal to 3n minus 4 or 3n -4

So we come to the conclusion that

3n - 4 = 15

Hope this helps!

Answer:

b= -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-3b - 6 = 18

      +6    +6

     -3b =​ 24

  -3b/-3 = 24/-3

          b = -8

Using the Laplace transform to solve the given integral equation  f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is \(\frac{4(1-2e^-5s)/}{s}\)

explanation is given in the image below:

Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.

The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.

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Answer:

Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible  that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.

In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of  

nation:

Answer:

x=3

Step-by-step explanation:

5x+2=7x−4  

5x+2−7x=7x−4−7x

−2x+2=−4  

−2x+2−2=−4−2

−2x=−6

-2x/2=-6/2

x=3

Answer:

1/3

Step-by-step explanation:

there are two numbers greater than 4, 5 and 6

so the probability is 2/6 or 1/3

Answer: There is an 1/3 chance of landing on a number greater than 4.

Step-by-step explanation: Divided into thirds to be made simpler 1/3 is 1-2, 2/3 is 3-4, and 3/3 (or the last third) is 5-6 (the number(s) greater than 4)

In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:80% of shots

Step-by-step explanation:

Divide 16 and 20 by 2

8 and 10

10 is total and 8 is how much she made therefore 80% of shots were made by Tamara.

There is a theorem that says:

If two angles are supplementar to two other congruent angles, then they're congruent.

For example:

So,

Answer:

thankss

Step-by-step explanation:

Answer:

a. x=40    b. x=19

Step-by-step explanation:

a. 40+40= 80

80+10=90

90=right triangle

b. 3 x 19= 57

57+19

76+14= 90

90=right triangle

Answer:

1

Step-by-step explanation:

Find the greatest common factor (GCF) of the terms, and use the GCF to find a list of common factors.

(next time add more points!)

It would take both of them 165 minutes to eat 660 corn dogs.

First, we can find the rate at which each person eats corn dogs by dividing the number of corn dogs by the time it takes to eat them:

Amy's rate: 60 corn dogs / 40 minutes = 1.5 corn dogs per minute

Bobby's rate: 40 corn dogs / 16 minutes = 2.5 corn dogs per minute

Let's let t be the number of minutes it takes for both Amy and Bobby to eat 660 corn dogs. We can set up an equation using the fact that the total number of corn dogs they eat is equal to the sum of what each person eats in that time:

1.5t + 2.5t = 660

Simplifying this equation, we get:

4t = 660

Dividing both sides by 4, we get:

t = 165

Therefore, it would take both of them 165 minutes to eat 660 corn dogs.

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Answer:12500

Step-by-step explanation:

10000 x 5% = 500. 500 x 5 = 2500. 10000 + 2500 = 12500

Answer:

12763

Step-by-step explanation:

Got it right on deltamath.

Answer: red hot= $4

gummies=$9

Step-by-step explanation:

3r+1g=21

-(3r+3g=39)

3r+1g=21

-3r-3g=-39

-2g=-18

g=9

3r+1(9)=21

3r=12

r=4

Answer:

no slope

Step-by-step explanation:

m= y2-y1/x2-x1

m= 6-(-6)/4-4

m=12/0

m= no slope

Answer: y=3x-1 is your answer

Step-by-step explanation:

now I have to add stuff

The area of the figure = area of trapezium + area of rectangle = 420 cm².

Area of trapezium = 1/2(a + b)h

Area of rectangle = length × height.

The area of the figure = area of trapezium + area of rectangle

The area of the figure = 1/2(a + b)h + length × height

Plug in the values

The area of the figure = 1/2(23 + 15)6 + 23 × 12

The area of the figure = 144 + 276

The area of the figure = 420 cm²

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Answer: The area is 390 cm

Step-by-step explanation:

All you have to do is find the area of the trapezoid and the area of the rectangle and add them together.

Area of trapezoid formula: A = 1/2 (Base 1 + Base 2)h

base 1 = 15 cm

base 2 = 23 cm

height = 6 (18-12)

so, 15 + 23 = 38

38 x 6 = 228

228 x 0.5 or 1/2 = 114

Therefore the area of the trapezoid is 114 cm

Area of rectangle formula: A = bh

base = 23

height = 12

12 x 23 = 276

Therefore the area of the rectangle is 276 cm

Now add the values together, 114 + 276 = 390

390 is the area of the figure

1. To make 5 L of a 40% sweet tea concentrate, you need to mix approximately 2.22 L of the 90% sweet tea concentrate with 2.78 L of water.

2. For 400 ml of 790 mM calcium chloride, you would need approximately 34.97 grams of anhydrous calcium chloride.

3. To achieve a final concentration of 20 μM hydrogen peroxide in 10 ml of cells, you would need to add approximately 6.67 μL of a 30 mM stock solution of hydrogen peroxide.

4. To prepare 0.80 liters of culture media, you would need to mix 16 ml of the 50X liquid salt solution with 784 ml of water.

C1V1 = C2V2 where C1 is the initial concentration (90%), V1 is the initial volume (unknown), C2 is the desired concentration (40%), and V2 is the final volume (5 L). Rearranging the equation, we have:

V1 = (C2V2) / C1

Plugging in the values, we get:

V1 = (0.4 * 5 L) / 0.9

V1 ≈ 2.22 L

So, you'll need to mix approximately 2.22 L of the 90% sweet tea concentrate with 2.78 L of water to obtain 5 L of a 40% sweet tea concentrate for your cookout.

To calculate the amount of anhydrous calcium chloride needed for 400 ml of 790 mM calcium chloride, you can use the formula:

mass = molarity × volume × molecular weight

First, convert the molarity from mM to M (mol/L):

790 mM = 0.79 M

Then, calculate the mass using the formula:

mass = 0.79 M × 0.4 L × 110.99 g/mol

mass ≈ 34.97 g

Therefore, you would need approximately 34.97 grams of anhydrous calcium chloride for 400 ml of 790 mM calcium chloride solution.

To determine the amount of a 30 mM stock solution of hydrogen peroxide (H2O2) needed to achieve a final concentration of 20 μM in 10 ml of cells, you can use the formula:

C1V1 = C2V2

Where C1 is the initial concentration (30 mM), V1 is the initial volume (unknown), C2 is the desired concentration (20 μM), and V2 is the final volume (10 ml). Rearranging the equation, we have:

V1 = (C2V2) / C1

Plugging in the values, we get:

V1 = (20 μM × 10 ml) / 30 mM

V1 ≈ 6.67 μL

Therefore, you would need to add approximately 6.67 μL of the 30 mM stock solution of hydrogen peroxide to your 10 ml of cells to achieve a final concentration of 20 μM.

To prepare a stock solution of medium for your culture cells, you'll need to dilute the liquid salt solution and add the required amount of fetal bovine serum (FBS). Since the liquid salt solution is supplied at a 50X concentration and you need a 1X concentration, you'll need to dilute it 50-fold. For a final volume of 0.80 liters, you'll need to mix 0.016 liters (or 16 ml) of the 50X liquid salt solution with 0.784 liters (or 784 ml) of water.

Next, you'll need to calculate the volume of FBS required to achieve a final concentration of 15%. To calculate this, you can use the equation:

V_FBS = (C_FBS × V_total) / C_FBS%

Where V_FBS is the volume of FBS, C_FBS is the desired concentration (15%), V_total is the final volume (0.80 liters), and C_FBS% is the concentration of the supplied FBS (75%). Plugging in the values, we get:

V_FBS = (0.15 × 0.80 liters)

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In solving the following fraction, step (A) (4/7) × (-2/-1) is wrong and the correct step should be (4/7) × (-2/1).

So, the wrong step will be:

Then, the next step should be:

But, the steps it is given as:

Which makes the error.

Therefore, in solving the following fraction, step (A) (4/7) × (-2/-1) is wrong and the correct step should be (4/7) × (-2/1).

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This scenario describes a foodborne illness outbreak investigation, where several individuals with similar symptoms of food poisoning have been identified and traced back to a nearby restaurant.

In this situation, the local hospital has encountered multiple cases of individuals exhibiting symptoms consistent with food poisoning. Through interviews, it is discovered that all of them have recently dined at a nearby restaurant, indicating a potential common source of exposure. To further investigate and identify the cause of the illness outbreak, samples from the restaurant's food are collected.

These samples will undergo laboratory testing to check for the presence of pathogens, such as bacteria or viruses, that may be responsible for the foodborne illness. By analyzing the test results, health authorities can pinpoint the specific pathogen and take appropriate measures to prevent further spread and ensure the safety of the community.

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Answer:

12 miles

Step-by-step explanation:

2.25+3.50x=44.25

3.50x=42

x=12

Answer:

5/18

Step-by-step explanation:

(36-12-12-2)/36=5/18