plessee help me i dont know the answerr​

The correct option number that is NOT a good method for solving the problem is: Option C: 20.48.[c-0.08.6-c0] (45000. ((0.08)(6)=0.08. t)at 45000-(00:48) Il 6 -0.08- 1) at -562500- 20.48.[c-0.08.6-c0]

The problem requires finding the Accumulated Total Value of the income stream generated by Hank's Auto Wash over six years, assuming the income is reinvested at an interest rate of 8% per year, compounded continuously. To solve the problem, we need to use the formula for continuous compounding:

A = P[tex]e^{(rt)[/tex]

Where A is the accumulated total value, P is the initial principal (in this case, the annual revenue of $45,000), e is the mathematical constant e (approximately 2.71828), r is the interest rate (0.08), and t is the time period (6 years).

Plugging in the values, we get:

A = 45000[tex]e^{(0.086)[/tex]

A = 45000[tex]e^{0.48[/tex]

A = 450001.6186

A = $72,838.50

Therefore, the accumulated total value of the income stream at the end of 6 years is $72,838.50.

The method that is NOT a good method for solving the problem is "45000.20.48.[c-0.08.6-c0]." This is not a valid formula for calculating the accumulated total value of an income stream under continuous compounding.

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Answer: To estimate the number of farms expected to no longer have a problem with caterpillars feeding on their crops among the total 1,470 farms based on the random sample of 200 farms, we can use proportion estimation.

First, let's find the proportion of farms in the sample that no longer have a problem with caterpillars:

Proportion = (Number of farms with no caterpillar problem in the sample) / (Total number of farms in the sample)

Proportion = 160 / 200

Proportion = 0.8

Next, we'll use this proportion to estimate the number of farms in the total population of 1,470 farms:

Estimated number of farms = Proportion * Total number of farms in the population

Estimated number of farms = 0.8 * 1,470

Estimated number of farms = 1,176

Therefore, it is expected that approximately 1,176 farms will no longer have a problem with caterpillars feeding on their crops based on the sample data.

Step-by-step explanation:

Answer: see below. the answers are bolded.

Step-by-step explanation:

1. Since x+55 forms a straight line, x+55 = 180. Solve that equation and you get x = 125. All interior angles in a triangle = 180. That means: 55+45+y = 180. Solve that equation and you get y = 80.

2. 110+x forms a straight line. 110+x = 180. Solve that equation and you get x = 70. Now that you have x, and you know that the interior angles of a triangle add up to 180, set up an equation. 70 + 65 + y = 180. Solve, and

y = 45

Hope I helped :)

The number of jerseys that the senior class at Legion Academy can purchase for $430, using quadratic equation, is 190.

Quadratic equation is an algebraic equation of the second degree in x, represented in the form of ax²+bx+c=0.

In the quadratic equation, a, b, and c are known values but a ≠ 0 and x is unknown.

x = [-b ± √b² - 4ac]/2a

when ax^2 + bx + c = 0

C = 0 .1x² + 2.4x + 25, where C is the amount, it costs to buy x jerseys.

Simplifying the equation, we get:

x = 0.2 − 2.4 ± 40.4​

The two possible values of x are:

1) x = 0.2 − 2.4 + 40.4​ = 190

or

2) x = 0.2 − 2.4 − 40.4 ​= −214

The value of x cannot be negative, therefore, the class bought 190 jerseys for $430.

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Answer:

90Y + 36

Step-by-step explanation:

just multiply the length by the width.

9 X (8y + 4 + 2y)

= 9 X (10y + 4)

= 90Y + 36

The amount that Za Kingdom charges for each pizza is $8.

To determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.

Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37

Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.

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Answer: Trust me I don't know either

Step-by-step explanation:

For asking questions about whatever in life I guess

The equivalent monthly interest rate is 1.91%

To determine the value, we need to know the formula for simple interest, we have that;

I = PRT/100

Such that the parameters of the formula are;

From the information given , we have that;

The annual interest rate R = 23%

Then, to determine its equivalent monthly, we get;

If 12 months = 23%

Then 1 month = x%

cross multiply the values, we have;

12x = 23

Divide by the coefficient

x = 23/12 = 1. 91%

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The complete solution to the system is 25/17, 61/17, 2/17 respectively.

Using the Gauss-Jordan elimination method to find the solution of the system of linear equations represented by the given augmented matrix:

Starting matrix:

[1 -2/3 -1/3 | 1]

[1 -2 6 | -17]

[-3 -7 3 | -43]

Add Row 1 to Row 2 and Row 3:

[1 -2/3 -1/3 | 1]

[0 -4/3 17/3 | -18]

[0 -1 0 | -40]

Multiply Row 2 by -3/4:

[1 -2/3 -1/3 | 1]

[0 1 -17/4 | 27/2]

[0 -1 0 | -40]

Add Row 1 to Row 2 and Row 3:

[1 0 -7/4 | 19/2]

[0 1 -17/4 | 27/2]

[0 0 -17/4 | -13/2]

Multiply row 3 by -4/17:

[1 0 -7/4 | 19/2]

[0 1 -17/4 | 27/2]

[0 0 1 | 2/17]

Add Row 3 to Row 1 and Row 2:

[1 0 0 | 25/17]

[0 1 0 | 61/17]

[0 0 1 | 2/17]

Therefore, the solution of the system of linear equations is:

x = 25/17

y = 61/17

z = 2/17

So the solution is [25/17, 61/17, 2/17].

Thus the completed augmented matrix is:

[1 0 0 | 25/17]

[0 1 0 | 61/17]

[0 0 1 | 2/17]

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The final equation of the given conic, after rotating the axes through the angle θ = arccos(3/5), is:

x^2 * cos(2θ) + y^2 * cos(2θ) = 2y

The equation of the conic in xy-coordinates when the axes are rotated through the given angle can be determined by using a rotation matrix. Given that the conic is represented by the equation:

x^2 - y^2 = 2y

And the rotation angle is θ = arccos(3/5), we can proceed as follows:

1. Rewrite the given equation in matrix form:

[x, y] * [1  0] * [x]  = [2y]

        [-1 0]   [y]      [0]

2. Define the rotation matrix using the given angle θ:

R(θ) = [cos(θ)  -sin(θ)]

          [sin(θ)   cos(θ)]

3. Apply the rotation matrix to the equation:

[x, y] * R(θ)^T * R(θ) * [x] = [2y]

        [1  0]     [-1 0]   [y]     [0]

[x, y] * R(θ)^T * [1  0] * R(θ) * [x] = [2y]

                              [-1 0]   [y]     [0]

[x, y] * [cos(θ) sin(θ)] * [1  0] * [cos(θ)  -sin(θ)] * [x] = [2y]

        [-sin(θ) cos(θ)]   [-1 0]     [sin(θ)   cos(θ)]   [y]     [0]

Simplifying the expression:

[x * cos(θ) + y * sin(θ)] * [x * cos(θ) - y * sin(θ)] - [x * sin(θ) - y * cos(θ)] * [x * sin(θ) + y * cos(θ)] = 2y

Expanding and rearranging terms:

x^2 * cos^2(θ) - y^2 * sin^2(θ) - x^2 * sin^2(θ) + y^2 * cos^2(θ) = 2y

Combining like terms:

x^2 * (cos^2(θ) - sin^2(θ)) + y^2 * (cos^2(θ) - sin^2(θ)) = 2y

Using the trigonometric identity cos^2(θ) - sin^2(θ) = cos(2θ):

x^2 * cos(2θ) + y^2 * cos(2θ) = 2y

The final equation of the given conic, after rotating the axes through the angle θ = arccos(3/5), is:

x^2 * cos(2θ) + y^2 * cos(2θ) = 2y

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The coordinates of point S are  (4, 3.5)

Remember that the coordinates of a point are written in the notation (x, y), such that the first value is the value in the horizontal axis, and the second value is the value in the vertical axis.

Each one of the squares is one unit, then the x-value of the point S is:

x = 4

And for the y-value we can see that the point is halfway between the third and the fourt lines, then:

y = 3.5

Thus, the coordinates of point S are (4, 3.5)

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The experimental probability did not match the theoretical probability.

The experimental probability is the chance that is determined from the real results of an experiment or event. It is based on practical observations or information, rather than a mathematical expression.

The theoretical probability is the chance that is worked out using a mathematical equation founded on the assumptions and situations of the event or experiment.

The experimental probability of landing on heads :

= 40 / 100

= 40 %

The theoretical probability is 50 % which means the experimental and theoretical did not match.

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The arithmetic sequence is solved and the nth term is aₙ = 5n - 4

Given data ,

The formula for the nth term of an arithmetic sequence is:

aₙ = aₙ1 + (n - 1)d

where a₁ is the first term, d is the common difference, and n is the term number.

In this case, a₁ = 1 and d = 5, so the formula becomes:

aₙ = 1 + (n - 1)5

Simplifying, we get:

aₙ = 5n - 4

Hence ,  the formula for the nth term of the arithmetic sequence with first term 1 and common difference 5 is aₙ = 5n - 4

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Answer: t(x) or total amount

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

To approximate the area under the curve y=x^3 from x=3 to x=6, we can use the midpoint rule with four subintervals.First, we need to find the width of each subinterval:delta x = (6 - 3) / 4 = 0.75Next, we can find the midpoint of each subinterval:x1 = 3 + 0.5 * delta x = 3.375

x2 = x1 + delta x = 4.125

x3 = x2 + delta x = 4.875

x4 = x3 + delta x = 5.625Now, we can evaluate the function at each midpoint:y1 = x1^3 = 40.39

y2 = x2^3 = 71.25

y3 = x3^3 = 106.29

y4 = x4^3 = 146.48Finally, we can use the midpoint rule formula to approximate the area:A ≈ delta x * (y1 + y2 + y3 + y4)

= 0.75 * (40.39 + 71.25 + 106.29 + 146.48)

= 267.98Therefore, the approximate area under the curve y=x^3 from x=3 to x=6 is 267.98 square units.

Answer:

1/30

Step-by-step explanation:

All of the colours have the same probability of being spun. 5 colours.

So, P(spinning a green) = 1/5.

6-sided to a die.

So, P(rolling a 5) = 1/6

P(spinning a green AND rolling a 5) = (1/5) X (1/6) = 1/30

Please give the brainliest, really appreciated. Thank you

Answer:

1/30

Step-by-step explanation:

i got this answer because the probability of spinning green is 1/5, as there are 5 colors including green.

The probability of rolling 5 is 1/6, as there are 6 numbers including 5.

However, the questions asks for the probability of green and rolling 5, so I simply multiplied 1/6 and 1/5 and got 1/30.

I apologize if I misunderstood the question and answered it wrong.

Answer:

1,000 - 50x > 600

-50x > -400

$0.00 < x < $8.00

Step-by-step explanation:

The first step is to find the radius of the circle, which is half the diameter:

r = 5.6/2 = 2.8 inThe area of the entire circle is:

A = πr² = 3.14 x 2.8² = 24.616 in²To find the area of the sector, we need to multiply the area of the whole circle by the fraction of the circle represented by the central angle. Since the central angle is 130° out of 360° (a full circle), the fraction of the circle represented by the sector is:

130/360 = 13/36Therefore, the area of the sector is:

A = (13/36) x 24.616 = 8.912 in²Rounding to the nearest hundredth, we get:

A ≈ 8.91 in²Therefore, the area of the sector is approximately 8.91 in².

Some of the reasons why math is important include:

Mathematics teaches us the invaluable skills of critical thinking via logical and systematical reasoning for solving complicated problems. It is, however, essential to know that mathematics is omnipresent in our day-to-day lives but we may not be conscious about it.

Our math-related actions include computing tips, shopping, allocating time for daily tasks as well as cooking meals. With a strong foundation in Mathematics, several career paths such as engineering, finance, accounting or data analysis can materialize for perspective job-visors; hence enabling them towards professional success.

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Answer:

9th term = 524288

Step-by-step explanation:

An equation we can use to find the nth term in a geometric sequence is:

[tex]a_{n}=a_{1}(r)^(^n^-^1^)[/tex], where

Step 1:  We're already given that a1 = 8 and that n = 9 (since we want to find the 9th term).  However, we need to find the common ratio by dividing two consecutive terms with the successive term being divided by the preceding term.  We can divide 32 by 8 to find r, the common ratio:

r = 32/8

r = 4

Thus, the common ratio of the sequence is 4

Step 2:  In order to find the 9th term of the sequence, we can plug in 8 for a1, 4 for r, and 9 for n and simplify:

[tex]a_{n}=8(4)^(^9^-^1^)\\a_{n}=8(4)^8\\a_{n}=8(65536) \\a_{n}=524288[/tex]

Thus, the 9th term of the geometric sequence is 524288.

Answer: 260(0.962)^8

Step-by-step explanation:

Pretty simple. We have a base of 260, which all of the answers include. Then for a decay rate of 3.8, we reduce to percentage form ( 0.038 ) and subtract that from 1 ( or 100 in standard form ). Then we get 0.962. We choose the second option because it includes both these terms and 8 ( which I'm assuming is an exponent )

The total cash due at signing is $3800.

Option A is the correct answer.

We have,

The total cash due at signing is the sum of the down payment, security deposit, acquisition fee, and the first month's lease payment.

So,

Down payment = $2500

Security deposit = $375

Acquisition fee = $500

First month's lease payment = $425

The total cash due at signing is:

= $2500 + $375 + $500 + $425

= $3800

Thus,

The total cash due at signing is $3800.

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Answer:

The distance from first base to third base is 127.3 ft,

For any positive number b not equal to 1 and any number or variable n, note that when evaluated, logb(bⁿ) = n.

A positive number is any integer that signifies something other than zero. Positive numbers include natural or counting numbers such as 1,2,3,4,5, fractions such as 3/5 or 232/345, and decimals such as 44.3.

Given logb(bⁿ)  and b is any positive number, not equal to 1 and n is any number

If Logₓ ([tex]y^{z}[/tex]) = z * logₓ (y)

Then

Log[tex]_{b}[/tex] (bⁿ) = n * Log[tex]_{b}[/tex] (b)

If logₓ(y) = log[tex]_{z}[/tex](y) / log[tex]_{z}[/tex](x)

Then

Log[tex]_{b}[/tex] (b) =  log[tex]_{z}[/tex] (b)/log[tex]_{z}[/tex] (b) = 1

Therefore,

Log[tex]_{b}[/tex] (bⁿ)  = n * Log[tex]_{b}[/tex] (bⁿ)

= n x 1

= n

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Full Question:

Although part of your question is missing, you might be referring to this full question:

For any positive number b not equal to 1 and any number or variable n, evaluate the following expression.

logb(b^n) =

with logb being the base

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

To find the absolute and relative change as a percentage in the U.S. per person consumption of beef from 2000 to 2020, we can follow these steps:

Calculating the absolute change:

Absolute change = Final value - Initial value

= 57.7 pounds - 67.8 pounds

= -10.1 pounds

Step 2: Calculate the relative change:

Relative change = (Absolute change / Initial value) * 100

= (-10.1 pounds / 67.8 pounds) * 100

≈ -14.9%

The absolute change is -10.1 pounds, indicating a decrease in per person consumption of beef.

The relative change is approximately -14.9%, indicating a decrease of approximately 14.9% in per person consumption of beef from 2000 to 2020.

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The measures are given as follows:

On a parallelogram, the opposite sides are congruent, hence the value of x is obtained as follows:

2x = 4

x = 2.

Opposite angles are congruent, meaning that they have the same measure, hence the measure of angle A is given as follows:

m < A = m < C = 110º.

Consecutive angles are supplementary, meaning that the sum of their measures is of 180º, hence the measure of angle B is given as follows:

m<B = 180º - 110º = 70º.

Considering the angle addition postulate, the measure of angle ABD is given as follows:

m < ABD = 70 - 36

m < ABD = 34º.

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Answer:

(a) 5.3 grams

(b) 0.2 years

Step-by-step explanation:

(a) Step 1:  Since we're already given A0, we simply plug in 0.5 for t to find A(0.5), aka the amount of Thorium-234 remaining after 0.5 years:

[tex]A(0.5)=1000e^(^-^1^0^.^4^9^8^*^0^.^5^)\\A(0.5)=1000e^(^-^5^.^2^4^9^)\\A(0.5)=5.252768542\\A(0.5)=5.3[/tex]

Thus, the amount of Thorium-234 remaining after 0.5 years is approximately 5.3 grams.

(b) We plug in 115 for A(t) and 1000 for A0.  Then, we must solve for t: Thus, our equation to solve for t, time in years, is

[tex]115=1000e^(^-^1^0^.^4^9^8^t^)[/tex]

Step 1:  Divide both sides by 1000.

115/1000 = e^(-10.498t)

0.115 = e^(-10.498t)

Step 2:  Take the natural log (ln) of both sides.

ln(0.115) = ln(e^(-10.498t))

Step 3:  According to the rules of natural logs, we can bring -10.498t down and multiply it by ln(e) on the right-hand side of the equation:

ln(0.115) = -10.498t * ln(e)

ln(0.115) = -10.498t * 1

ln(0.115) = -10.498t

Step 4:  Now, we divide both sides by -10.498 and round the result to find out after about how many years will 115 grams of thorium-234 be remaining:

(ln(0.115) = -10.498t) / -10.498

0.2060223996 = t

0.2 = t

Thus, there will be 115 grams of thorium-234 remaining after about 0.2 years