A share of stock in the Lofty Cheese Company is quoted at 251/4. Suppose you hold 30 shares of that stock, which you bought at 201/4. If you sell your stock at 251/4, which one of the following statements would be true? A. You'll suffer a loss of $150. B. You'll make a profit of $15. C. You'll make a profit of $150. D. You'll suffer a loss of $15.

Answers

Answer 1

Answer: The true statement regarding selling stock at 25 1/4, which you bought at 20 1/4, is C. You'll make a profit of $150. You bought 30 shares at 20 1/40. 30 * 20 1/4 = 30 * 81/4 = 2430/4. You sold 30 shares at 25 1/4. 30 * 25 1/4 = 30 * 101/4 = 3030/4. So you earned more than you paid for them. The value you earned is 3030/4 - 2430/4 = (3030-2430)/4 = 600/4 = 150. So, you'll make a profit of $150.

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The sum of $4,500 was divided among Anesha,Sian and Joanne. Sian received half,Anesha received $1,050 and Joanne received the remainder.Calculate: the ratio in which 4500 was shared among the three of them

Which of the following is an identity? A. secx tanx - cosx cotx = sinx B. (tanx + cotx)(sinx cosx) = 1 C. sin2x = 4 - 2cos2x D. cosx(2sinx + 1) = 0

Answers

Using trigonometry property, the best option is B.

What is trigonometry?

Trigonometry deals with "the relationship between the sides and the angles of triangles".

According to the question,

[tan x + cot x] (sin x + cos x) = 1

$[(sin x)/(cos x)+(cos x)/(sin x) ] (sin x cos x) = 1$ [tan x = $(sin x)/(cos x)$ and cot x = $(cos x)/(sin x)$ ]

$(sin x)/(cos x) (sin x cos x) + (cos x)/(sin x)(sin x cos x) =1$

$sin^(2)x +cos^(2)x = 1$ [By cancellation law]

By the Pythagoras theorem, $sin^(2)x +cos^(2)x = 1$ .

Hence, using trigonometry property, the best option is B.

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letter B

(tanx + cotx)(sinxcosx) = 1
[(sinx/cosx) + (cosx/sinx)](sinxcosx) = 1
[(sinxcosx)(sinx/cosx) + (sinxcosx)(cosx/sinx)] = 1
[(sinx)^2 + (cosx)^2] = 1
*Pythagorean Identity*
1 = 1

What is the radius of the circle given by the equation below? x2 - 2x + y2 - 2y - 98 = 0?

Answers

Complete the square for the given equation
x² - 2x + ____ + y² - 2y + _____ = 98
x² - 2x + (1) + y² - 2y + (1) = 98 + (1) + (1)
(x - 1)² + (x - 1)² = 100
(x - 1)² + (x - 1)² = 10²

Now the equation is in the form (x - h)² + (y - k)² = r²

Radius = 10

Which terms give is the perfect square of 3x4? A. 6x8 B. 6x16 C. 9x8 D. 9x16

Answers

A perfect square is the product when a number is multiplied to itself. Hence,the square of (3x4) is (3 x 4 x 3 x 4). We can rearrange this and have (3 x 3) x (4 x 4) which gives you 9 x 16. Thus, we have the perfect square of (3x4) re-written as (9 x 16). Thus, the answer is D: 9 x 16.

Answer:

The correct option is C.

Step-by-step explanation:

The given term is 3x⁴.

We have to find the perfect square of 3x⁴.

$(3x^4)^2=3^2* (x^4)^2$ $[\because (ab)^x=a^xb^x]$

$(3x^4)^2=9* x^(4(2))$ $[\because (a^x)y=a^(xy)$

$(3x^4)^2=9* x^8$

$(3x^4)^2=9x^8$

The perfect square of given expression is $9x^8$ .

Therefore option C is correct.

Pls help ASAP for brainliest answer

Answers

Answer:

324cm^3

Step-by-step explanation:

The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)

1/2 × 6 × 9 × 12 = 324cm^3

What is 4÷ 3/5?

6
6 2/5
6 2/3
8
which is the correct answer

Answers

Answer:

6 2/3

Step-by-step explanation:

just multiply 4 by 3/5

32 is 40 percent of what number

Answers

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

We have,

To explain further, let's break down the calculation step by step:

We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:

32 = 0.40 x

To find the unknown number (represented by x), we want to isolate it on one side of the equation.

By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:

32 / 0.40 = x

Simplifying the left side:

80 = x

Therefore,

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

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Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

$\boxed{ \ 32 = 40 \% * N \ }$

Which can be rewritten to be

$\boxed{ \ 40 \% * N = 32 \ }$

All we have to do to get the N value is a division operation.

$\boxed{ \ If \ a * b = c, \ then \ a = c / b \ or \ b = c / a \ }$

$\boxed{ \ If \ a * b = c \ then \ a = (c)/(b) \ or \ b = (c)/(a) \ }$

$\boxed{ \ 40 \% * N = 32 \ }$

$\boxed{ \ N = 32 / 40 \% \ }$

Recall that $\boxed{ \ 40 \% = (40)/(100) \ }$

$\boxed{ \ N = 32 / (40)/(100) \ }$ ... Equation-1

Recall that $\boxed{ \ a / (b)/(c) \rightarrow a * (c)/(b) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$ ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

$\boxed{ \ N = 32 * (10)/(4) \ }$

32 is crossed out with 4, in other words dividing each other.

$\boxed{ \ N = 8 * 10 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-1:

Recall that $\boxed{ \ (40)/(100) = 0.40 = 0.4 \ }$

From Equation-1 above, we rearrange it into

$\boxed{ \ N = (32)/(0.4) \ }$

Both the numerator and denominator are multiplied by 10.

$\boxed{ \ N = (320)/(4) \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

$\boxed{ \ N = 32 * (5)/(2) \ }$

32 is crossed out with 2, in other words dividing each other.

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-3:

$\boxed{ \ 40 \% * N = 32 \ }$

Both sides are multiplied by $\boxed{ \ (100)/(40) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$

$\boxed{ \ N = 32 * (10)/(4) \ }$

$\boxed{ \ N = 32 * (5)/(2) \ }$

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Learn more

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4 times as much as 3 is brainly.com/question/573729
68.32 divided by 2.8 is divisible brainly.com/question/5022643#

Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

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