Nicholas bought a new computer for $1,250. The value of the computer decreases by 17 percent every year. Approximately how much is the computer worth after 5 years?

Answer:

0.65 grams

Step-by-step explanation:

0.5 of a banana is 1/2 of a banana. A full banana has 1.3g which means we can divide this by 2 to find the amount of protein in half a banana. 1.3 ÷ 2 = 0.65. There is 0.65g of protein in 0.5 of a banana.

Hope this helps!

Protein is 0.65 gram in 0.5 of a banana.

How much protein is in 0.5 of a banana?

By Unitary method,we can solve this problem.

But now question is what is the use of Unitary method ?

By some examples we can understand this concept.

Let cost of 5 pens is 50 rupees.

By Unitary method, cost of 1 pen is

\(\frac{50}{5} \\ = 10 \: rupees\)

Cost of 100 pens is \((100 \times 10) = 1000 \: rupees\)

Again length of 1 rope is 5 m

Then by Unitary method length of 5 rope is \((5 \times 5) = 25 \: m\)

Here given,One banana contains 1.3 grams of protein.

According to question we can say one banana has 1.3 grams of protein.

We want to find quantity of protein in 0.5 banana.

We know,

\(0.5 \: of \: banana = \frac{1}{2} \: of \: banana\)

Here quantity of protein in 1 banana is 1.3 grams

So,by Unitary method quantity of protein in \( \frac{1}{2} \) banana is

\((1.3 \times \frac{1}{2} ) \: grams \\ = \frac{13}{10} \times \frac{1}{2} \\ = 0.65 \: grams\)

Therefore 0.5 banana contain 0.65 grams protein.

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The radius of a circle if its area is equal to the sum of the areas of two other circles with radii 21 cm and 20 cm. the radius of the unknown circle is 29 cm.

To find the radius of a circle whose area is equal to the sum of the areas of two other circles with radii 21 cm and 20 cm, we can use the formula for the area of a circle, which is given by:

A = π * r^2

Let's denote the radius of the unknown circle as r.

The area of the first circle with a radius of 21 cm is:

A1 = π * (21 cm)^2

The area of the second circle with a radius of 20 cm is:

A2 = π * (20 cm)^2

According to the given condition, the area of the unknown circle is equal to the sum of A1 and A2:

A = A1 + A2

π * r^2 = π * (21 cm)^2 + π * (20 cm)^2

Simplifying this equation, we can cancel out π from both sides:

r^2 = (21 cm)^2 + (20 cm)^2

r^2 = 441 cm^2 + 400 cm^2

r^2 = 841 cm^2

Taking the square root of both sides, we find:

r = √841 cm

r = 29 cm

Therefore, the radius of the unknown circle is 29 cm.

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Answer:

9. m < 1 = 30

10. m < 1 = 83.1

11. m < 1 = 90

12. X= 70, Y= 110, Z= 30

13. X = 80, Y = 100

14. C = 60

Hope this helps.

The leading coefficient of the quadratic function a is negative

From the graph, we have the following points:

Vertex, (h,k) = (-4,3)

Point, (x,y) = (-3,2)

A quadratic equation is represented as:

y = a(x - h)^2 + k

So, we have:

2 = a(-3 + 4) + 3

Subtract 3 from both sides

-1 = a(-3 + 4)

Evaluate the difference

-1 = a

This gives

a = -1

Hence, the leading coefficient a is negative

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To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

Hope this helps you

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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According to ADA guidelines, a ramp with a two-foot vertical rise should be at least 20 feet long.

This length allows for a gentle slope that is safe and accessible for individuals with mobility impairments, including those using wheelchairs or other mobility aids. The slope of the ramp should not exceed 1:12, which means that for every inch of vertical rise, the ramp should extend 12 inches horizontally.

The ADA guidelines are designed to ensure that individuals with disabilities have safe and accessible routes of travel in public spaces. Ramps with proper dimensions and slope ratios are critical for individuals with mobility impairments to access buildings and spaces that may not be accessible via stairs. Ramps should also be designed with non-slip surfaces, handrails, and other safety features to prevent accidents and ensure that all individuals can use them safely and comfortably.

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Answer:

b = g + 7 and b+g= 29. is the answer

1- SHM stands for Simple Harmonic Motion.

In SHM, an object oscillates back and forth about an equilibrium position, with a motion that can be described by a sinusoidal function. The symbols commonly used in SHM are:

y: Displacement from the equilibrium position

t: Time

k: Spring constant or restoring force constant

m: Mass of the object

c₁ and c₂: Constants determined by initial conditions

2- Hooke's law relates the force exerted by a spring to the displacement of the object attached to it. It is represented by the second-order differential equation my" + ky = 0, where m is the mass of the object and k is the spring constant. The solution to this equation is given as y = c₁ cos(√(k/m) * t) + c₂ sin(√(k/m) * t). To determine the values of c₁ and c₂, initial conditions are needed.

3- If the initial conditions are y(0) = 0 and y'(0) = 0, which means the object starts at equilibrium with zero displacement and zero velocity, we can substitute these values into the solution equation and solve for c₁ and c₂. In this case, we find that c₁ = 0 and c₂ = 0.

4- To show that the sum of the solutions c₁ cos(w₀t) and c₂ sin(w₀t) is also a solution of the SHO (Simple Harmonic Oscillator) differential equation, we substitute the sum into the differential equation and demonstrate that it satisfies the equation. By taking the derivatives and substituting, we can show that the sum of the solutions satisfies the equation, thus confirming that it is also a solution.

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(A) The probability of obtaining 5 individuals with brown eyes, 3 individuals with blue eyes, and 2 individuals with green eyes is approximately 0.246 * 0.190 * 0.282 ≈ 0.013.

(B) The probability of selecting exactly 1 individual with blue eyes and 1 individual with green eyes is given by (3 choose 1) * (1 choose 1) * (6 choose 8) / (10 choose 2) ≈ 0.429.

(C) The probability that at least 7 of the 10 people have brown eyes is 0.452.

(a) The probability of selecting 5 individuals with brown eyes, 3 individuals with blue eyes, and 2 individuals with green eyes out of a sample of 10 people can be calculated using the binomial probability formula. Here, the probability of success (i.e., an individual having brown eyes) is 0.51, and the probability of failure (i.e., an individual not having brown eyes) is 0.49. The probability of obtaining 5 individuals with brown eyes is given by (10 choose 5) * 0.51^5 * 0.49^5 ≈ 0.246. Similarly, the probability of obtaining 3 individuals with blue eyes is (10 choose 3) * 0.32^3 * 0.68^7 ≈ 0.190, and the probability of obtaining 2 individuals with green eyes is (10 choose 2) * 0.17^2 * 0.83^8 ≈ 0.282. Therefore, the probability of obtaining 5 individuals with brown eyes, 3 individuals with blue eyes, and 2 individuals with green eyes is approximately 0.246 * 0.190 * 0.282 ≈ 0.013.

(b) To calculate the probability of exactly one person in the sample having blue eyes and exactly one person having green eyes, we can use the hypergeometric distribution. Here, we have a population of N = 10 individuals, of which n1 = 3 have blue eyes and n2 = 1 have green eyes. We need to select 2 individuals from the population who have blue and green eyes, respectively, and the remaining 8 individuals can have any eye color. Therefore, the probability of selecting exactly 1 individual with blue eyes and 1 individual with green eyes is given by (3 choose 1) * (1 choose 1) * (6 choose 8) / (10 choose 2) ≈ 0.429.

(c) To calculate the probability that at least 7 of the 10 people have brown eyes, we can use the binomial probability formula again. Here, we need to calculate the sum of probabilities for selecting 7, 8, 9, or 10 individuals with brown eyes. Therefore, the probability of selecting at least 7 individuals with brown eyes is given by the sum of the probabilities for selecting 7, 8, 9, or 10 individuals with brown eyes. This is approximately equal to (10 choose 7) * 0.51^7 * 0.49^3 + (10 choose 8) * 0.51^8 * 0.49^2 + (10 choose 9) * 0.51^9 * 0.49^1 + (10 choose 10) * 0.51^10 * 0.49^0 ≈ 0.452.

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Given:

The system of equations is

\(5g+4k=10\)

\(-3g-5k=7\)

To find:

The solution of given system of equations.

Solution:

We have,

\(5g+4k=10\)        ...(i)

\(-3g-5k=7\)         ..(ii)

Multiply (i) by 5 and (ii) by 4.

\(25g+20k=50\)        ...(iii)

\(-12g-20k=28\)         ..(iv)

Adding (iii) and (iv), we get

\(25g-12g=50+28\)

\(13g=78\)

Divide both sides by 13.

\(g=\dfrac{78}{13}\)

\(g=6\)

Put g=6 in (i).

\(5(6)+4k=10\)

\(30+4k=10\)

\(4k=10-30\)

\(4k=-20\)

Divide both sides by 4.

\(k=-5\)

So, the solution of the system of equation is (6,-5).

Therefore, the correct option is A.

Great Grains of Canada has made a wheat purchase of 4,000 tonnes from Gateway Grains in Malta at a rate of 130 euros per tonne, with payment due in one year. The current spot exchange rate between the Canadian dollar (CAD) and the euro (EUR) is 1.6750 CAD/EUR.

The spot exchange rate of 1.6750 CAD/EUR indicates that 1 Canadian dollar is equivalent to 1.6750 euros. Since the wheat purchase is denominated in euros, Great Grains of Canada will need to convert the payment amount from Canadian dollars to euros at the prevailing exchange rate.

To calculate the total payment in Canadian dollars, we multiply the number of tonnes (4,000) by the price per tonne (130 euros) to get the payment in euros. The total payment can be calculated as 4,000 tonnes * 130 euros/tonne = 520,000 euros.

To determine the equivalent payment in Canadian dollars, we multiply the payment in euros by the spot exchange rate. In this case, the payment in Canadian dollars would be 520,000 euros * 1.6750 CAD/EUR = 871,000 CAD.

It's important to note that the given information does not mention the 1-year forward rate, so we cannot determine the forward exchange rate or the amount Great Grains of Canada would pay in Canadian dollars at the forward rate. However, if the 1-year forward rate were provided, it could be used to estimate the payment in Canadian dollars based on the forward exchange rate and the payment amount in euros.

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Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

Answer:

The set of points that lie in the mix of the shaded colors are the solutions to the inequalities.

Those points are,

(0,-6)

(-14,-15)

(-9,-10)

Answer:

Hey girly the answer is def 0,12 xoxoxo ;)

The given function is f(x) = x²-2x-15/x-5.

We need to find the limits in a) through c) below:Solution:

a) To find lim f(x) as x approaches 5,

we need to substitute x = 5 in the given function.

f(x) = x²-2x-15/x-5lim f(x) = lim (x²-2x-15)/(x-5) x → 5∴ lim f(x) = (5)²-2(5)-15/(5-5) = 5-10 = -5

Therefore, lim f(x) as x approaches 5 is -5.

b) To find lim f(x) as x approaches 5,

we need to factorize the given function.f(x) = (x+3)(x-5)/(x-5)∴ f(x) = x+3 Now, if we substitute x = 5 in f(x) = x+3, we getf(x) = 5+3 = 8lim f(x) = lim (x+3) x → 5∴ lim f(x) = 8

Therefore, lim f(x) as x approaches 5 is 8

c) To find lim f(x) as x approaches 5,

we need to factorize the given function.

f(x) = (x+3)(x-5)/(x-5)∴ f(x) = x+3

Now, if we substitute x = 5 in f(x) = x+3,

we getf(x) = 5+3 = 8lim f(x) = lim (x+3) x → 5∴ lim f(x) = 8

Therefore, lim f(x) as x approaches 5 is 8.

The correct choices are:a) lim f(x) = -5, Bb) lim f(x) = 8, Ac) lim f(x) = 8, A Thus, option a)

Select the correct choice below and fill in any answer boxes in your choice.

A. lim f(x) = -5x→5 B.

The limit does not exist and is neither -∞ nor ∞.

Option b) Select the correct choice below and fill in any answer boxes in your choice. A.

lim f(x) = 8 x→5 B. The limit does not exist and is neither -∞ nor ∞.

Option c) Select the correct choice below and fill in any answer boxes in your choice. A.

lim f(x) = 8 x→5 B. The limit does not exist and is neither -∞ nor ∞.

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Answer:

No, the given is not a function.

Step-by-step explanation:

I am confused if the last half of the numbers belong to a y value or not, but the answer is the same regardless.

If all numbers provided are "x", then no; the given does not represent a function. This is because the "x" value has duplicates, which indicates a non function.

Even if the last 5 numbers belong to f(x), or "y", the given is still not a function. the duplicated number is "9", and the 9's would be an x value regardless of the form of the given information.

Answer:

2.1 hr

Step-by-step explanation:

[0.8 m × (100 cm)/(1 m)]/(38.2 cm/hr) = 2.1 hr

Answer:

Plural of Axis. Pronounced "ak-seez". Axes often means the "x" and "y" lines that cross at right angles to make a graph. See: Axis (graph) Cartesian Coordinates.

Step-by-step explanation:

To solve the equation 2 cot² x − cosec² x + cosec x = 4 for −180≤x≤180, we need to use trigonometric identities. Solving the equation 2 cot² x − cosec² x + cosec x = 4.The solution to the equation 2 cot² x − cosec² x + cosec x = 4 for −180≤x≤180 is x = ±156.5°, ±23.5° to 1 decimal place.

Step 1: Simplify the equation 2 cot² x − cosec² x + cosec x = 4 becomes 2 cos² x/sin² x - 1/sin² x + 1/sin x = 4 by substituting the identity for cot x and cosec x.

Step 2: Multiply everything by sin² x to eliminate the denominator 2 cos² x - 1 + sin x = 4 sin² x

Step 3: Use the identity cos² x + sin² x = 12 cos² x + 2 sin x - 3 = 0 by substituting the identity for cos² x into the equation.

Step 4: Solve for cos x cos x = (-b ± √b² - 4ac) / 2a = (-2 ± √16 + 24) / 4 = (-2 ± 2√10) / 4 = -1/2 ± (1/2)√10The two solutions are cos x = -1/2 + (1/2)√10 and cos x = -1/2 - (1/2)√10.

Step 5: Solve for x To find x, we take the inverse cosine of each solution cos x = -1/2 + (1/2)√10 gives x = ±156.5° to 1 decimal place cos x = -1/2 - (1/2)√10 gives x = ±23.5° to 1 decimal place.So the solution to the equation 2 cot² x − cosec² x + cosec x = 4 for −180≤x≤180 is x = ±156.5°, ±23.5° to 1 decimal place.

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Answer: false

Step-by-step explanation:

since you do not know if EF and DG are the same it is not possible to know if it is true yet

Answer:

Four

Step-by-step explanation:

1. $3.10 divide by 5 = $0.62

2. $0.62 multiply by 4 = $2.48

So Levi bought 4 oranges

With $2.48 Levi can buy 4 oranges.

Given that, a grocery store sells a bag of 5 oranges for $3.10.

We need to find how many oranges did Levi buy for $2.48.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the cost of one orange=3.10/5

=$0.62

Number oranges can buy from $2.48=2.48/0.62

=4

Therefore, with $2.48 Levi can buy 4 oranges.

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Step-by-step explanation:

The equation of the line with a slope of 0 is y=c, where c is a constant.

As the line passesvthrough a pt with a y coordinate of 9, the equation is y=9.

Answer:

Equation = y = -4x+7

See the graph below

Step-by-step explanation:

The equation of the line in slope intercept form is expressed as;

y = mx+c

Given

slope m = -4

y-intercept c = 7

Substitute

y = -4x + 7

Get the x intercept.

at y = 0

0 = -4x + 7

4x = 7

x = 7/4

x = 1.75

The x coordinate  (1.75, 0)

Get the y intercept

at x = 0;

y = -4(0)+7

y = 0+7

y = 7

The y coordinate is (0, 7)

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer:

Only one triangle is possible.

Step-by-step explanation:

Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.

Here,

,

Therefore, a triangle is possible with the given measurements,

Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,

By SSS congruency criteria both the triangles will be congruent.

Thus, all triangles with same measurement will be congruent to each other.

Hence, only one triangle is possible.

Answer:

The slope is 2/3

Step-by-step explanation:

The first set of coordinates is 1 and 2 and the second set is 4 and 4. Subtract 4-2 and 4-1 and you get 2 and 3. Arrange it in a fraction so 2/3

The pH of the solution is 12.2.

Molarity (kon) = No. of moles of FoH x 1000

Mckor, 7:12 × 10-4 moles x Looo 50.0 mL.

Volume of solution (m²), McKong = 1.424x102M, [on] =1.424×102M POH = -log [on] pOH =

-log [1.424x102] pon = 1.85.

pH + pOH = 14

PH = 14-pOH = 14-1.85 pH = 12.15.)

12.2.

pH is a measure of the concentration of hydrogen ions in water. Specifically, pH is the negative logarithm of the hydrogen ion (H+) concentration (mol/L) in an aqueous solution. pH = -log10(H+) This term indicates the basicity or acidity of a solution from 0 to 14 where pH 7 is neutral.

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Answer:

-54 + 6

forgive me if i'm wrong, i am trying my best!!

Answer:

-4

Step-by-step explanation:

\(f(x)=-3x+6\\\\f(x)=18\\\\\Rightarrow 18=-3x+6\\\\18-6=-3x\\\\12=-3x\\\\x=\frac{12}{-3}\\\\x=-4\)