2. The function f(x)500(1.045)* models the value of an investment afteryears. What is the approximate value of the investment at f(6)?A$650B. $710c. $3,006D. $3,135

Answer:

O $849,915

Step-by-step explanation:

\(8.5 \times 99.99\)

\( = 849.915 \)

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

m - mn

Step-by-step explanation:

The two numbers are denoted by m and n respectively.

From the question, we can deduce the following points;

- the difference between m and another variable (mn).

- product or multiplication of m and n.

Translating the word problem into an algebraic expression, we have;

m - (m*n)

m - mn

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

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The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

Proportional.

Step-by-step explanation:

Find the cross products. If they are same, then they are proportional.

\(\dfrac{1.2}{3} = \dfrac{1.8}{4.5}\)

Cross multiply,

1.2 * 4 .5       =         3*1.8

      5.40      = 5.4

So, they are proportional.

Or

Multiply the numerator and denominator of 1.2/3 by 1.5

\(\dfrac{1.2*1.5}{3*1.5}=\dfrac{1.8}{4.5}\)

From this we come to know they are proportional

Or

1.2 : 3 :: 1.8 : 4.5

Product of means = 3*1.8 = 5.4

Product of extremes = 1.2*4.5 = 5.4

Product of means = product of extremes. So, they are proportional.

Answer:Proportional

Step-by-step explanation:

Answer:

24 free throws

Step-by-step explanation:

30 * 0.8 = 24

0.8 represents the 80%

The length of one of the sides of the square base is 6 inches.

Let's denote the length of one of the sides of the square base by "s" and the height of the pyramid by "h". Then, the surface area of the pyramid can be expressed as:

Surface area = area of square base + sum of areas of four triangular faces

Surface area = s^2 + 4(1/2)(s)(h)

We know that the surface area is 116 in^2 and the sum of the areas of the four triangular faces is 80 in^2. So we can substitute these values into the equation:

116 = s^2 + 4(1/2)(s)(h)

80 = 4(1/2)(s)(h)

We can simplify the second equation to get:

20 = (1/2)(s)(h)

We can solve for h by substituting the value of (1/2)(s)(h) from the second equation into the first equation:

116 = s^2 + 4(20)

116 = s^2 + 80

s^2 = 36

s = 6

Therefore, the length of one of the sides of the square base is 6 inches.

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Answer:

17.5

Step-by-step explanation:

35÷y = 140 ÷ 70

or, 35 = 2y

or, y= 17.5

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The value of B on the table is given as follows:

D. 90.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

From the table, the constant is obtained as follows:

k = 20/14 = 40/28 = 10/7.

Hence the relationship is given as follows:

y = 10x/7.

The value of B is the value of y when x = 63, hence:

y = 10 x 63/7

y = 10 x 9

y = 90.

Meaning that the correct option is given by option D.

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Answer:

the answer is 30

Step-by-step explanation:

hope it helps

Answer:

<R=95 degrees (vertical angle theorem).

Step-by-step explanation:

Answer:

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Step-by-step explanation:

To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.

The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:

$5.59 - $1.72 = $3.87

To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:

Percent increase = (difference/original average cost) x 100

Percent increase = ($3.87/$1.72) x 100

Percent increase = 224.41%

Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.

Step by step (for more help understanding):

The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.

Step 1: Find the difference in the average cost

To find the difference in the average cost, we subtract the original average cost from the new average cost.

$5.59 - $1.72 = $3.87

This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.

Step 2: Find the ratio of the difference to the original cost

To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.

$3.87 / $1.72 = 2.25

This means that the new average cost is 2.25 times the original average cost.

Step 3: Convert the ratio to a percentage

To convert the ratio to a percentage, we multiply it by 100.

2.25 x 100 = 225%

Step 4: Round the percentage to one or two decimal places

Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.

The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.

Hope this helps, If not I'm sorry. If you need more help, ask me! :]

Answer:

Yes

Step-by-step explanation:

Movies  was chosen randomly, stores have an equal number of movies.

So, this sample should be representative.

The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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Answer:

r1 =6

r2 =8

t = ?

[(1/r1) * t] + [(1/r2)*t] = 1

t/6 + t/8 = 1

multiply by common denominator... 24

24 (t/6 + t/8 = 1)

4t + 3t =24

7t = 24

t = 24/7 = 3.4hrs

For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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If values prοvided then transfοrmatiοn οf vectοrs can be determined.

In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.

Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.

Hοwever, in general:

A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.

A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.

Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.

If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.

Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.

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Complete question -

In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1

a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Answer: \(46.42:18.57\)

Step-by-step explanation:

\(5+2 = 765/7 × 5 = 46.4265/7 × 2 = 18.57∴ 65 in the ratio 5:2 = 46.42:18.57x^{2}\)

The solution is 46.42857 : 18.57143

The proportion equation is given by 46.42857 : 18.57143 and

46.42857 + 18.5714365 = 65

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the number be represented as N

The value of N = 65

The proportion is 5 : 2

The total value of the ratio = 5 + 2 = 7

So , each value of the proportion is x = 65 / 7

On simplifying the equation , we get

Each value of the proportion is x = 9.2857142857

Now , the proportion equation is given by

The value of 5x = 5 ( 9.2857142857 )

The value of 5x = 46.42857

The value of 2x = 2 ( 9.2857142857 )

The value of 2x = 18.57143

And , 46.42857 + 18.5714365 = 65

Hence , the proportion is 46.42857 : 18.57143 or 5 : 2

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Answer: 8  units

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

6+5 = 11

6-5 = 1

Answer:

look at the photo..........