Which two numbers add up to 27 and multiply to -160?

Answers

Answer 1

Answer:
+ 32
and
- 5

will do that job for you.

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=−5x^2+263x−1844

Answers

Answer: The maximum amount of profit the company can make is $1604.

Step-by-step explanation:

To find the maximum amount of profit the company can make, we need to determine the vertex of the quadratic equation y = -5x^2 + 263x - 1844. The x-coordinate of the vertex represents the selling price that will yield the maximum profit, and the y-coordinate represents the maximum profit itself.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c.

In this case, a = -5 and b = 263. Let's substitute these values into the formula:

x = -263 / (2 * -5)

Now, let's simplify the expression:

x = -263 / -10

x = 26.3

To find the maximum profit, we substitute the x-coordinate of the vertex into the equation:

y = -5(26.3)^2 + 263(26.3) - 1844

Now, perform the calculations:

y = -5(691.69) + 6906.9 - 1844

y = -3458.45 + 6906.9 - 1844

y = 1604.45

Therefore, to the nearest dollar, the maximum amount of profit the company can make is $1604.

Final answer:

Profit is a financial gain that occurs when the revenue from a company activity is more than the costs, costs, and taxes required to support the activity. To put it another way, profit is what is left over after all costs have been subtracted from revenue

Explanation:

The corporation can earn a maximum profitof $1,292 to the nearest dollar.

Using the given equation y = -5x² + 263x - 1844 we can utilise the procedures below to get the greatest profit the corporation may make:

1. Using the equation x = -b/2a, where a = -5 and b = 263, determine the x-coordinate of the parabola's vertex.

2. To determine the highest possible value of y, substitute this x value into the equation.

These actions result in:

$\text{x} = (-b)/(2a) = (-263)/((2\cdot(-5))) = 26.3$

When we enter this x value into the equation, we obtain:

$\text{y} = -5(26.3)^2 + 263(26.3) - 1844\thickapprox \$3440$

As a result, the corporation can earn a maximum profit of $3,440 to the nearest dollar.

Answers

The rate for such investment is 4% per annum. This will be computed as follows: $12,000 (Future value of money) less $10,000 ( Present value of money) is equal to $2,000 which will be then divided by 5 years and the it will give us the value of $400 per year. Then $400 will be divided by the $10,000 ( Present value of money) which gives us 4%.

Ashley is shopping for a fruit basket to send to her grandmother. A fruit basket fromMabel's Gift Shop costs $13 for the basket plus $1.50 for each piece of fruit. Jenny's Gifts
and More charges $15 for a similar basket with an additional cost of $1.25 per plece of
fruit.
Which Inequality can be used to find the amount of fruit, x, at which it would be less
expensive for her to order from Mabel's Gift Shop?

Answers

Answer:

13 + 1.5x < 15 + 1.25x

Step-by-step explanation:

Mabel: 13 + 1.5x

Jenny: 15 + 1.25x

Less expensive to shop at Mabel's. Less than sign <.

13 + 1.5x < 15 + 1.25x

Glen is looking into buying a piece of land. He estimates that the land measures 100 yd by 850 yd. The land is actually 140 yd by 940 yd. What is the percent error in the estimated area of the land? A. 35.4%
B. 17.7%
C. 64.6%
D. 32.3%

Answers

1) First find the areas:
100 * 850 = 85000
140 * 940 = 131600
2) Find the percent error in the area
percent error = (experimental value - accepted value)/(accepted value) *100
% error = (85000 - 131600)/(131600) * 100 = 35.4%

Which of the following is equivalent to log9w?log9 + logw
log9 - logw
w(log9)
9(logw)

Answers

Answer:

Option A is correct

$\log 9 + \log w$

Step-by-step explanation:

Using the logarithmic rules:

$\log mn = \log m+ \log n$

As per the statement:

Given the following:

$\log 9w$

Apply the logarithmic rules we have;

$\log 9 + \log w$

Therefore, the following is equivalent to log 9w is:

$\log 9 + \log w$

Look over your textbook for the properties of logarithms.
Recall that adding together two logs of the same base = one log where the arguments are multiplied together.
(note a log without a number written below is assumed to be base 10)

$\log(9w) = \log(9)+\log(w)$

Solve formula for x.

2bx - b = -5

Answers

Start by moving all other variables to the other side of the equation.
$2bx-b=5 \n 2bx=b+5 \n x= (b+5)/(2b)$
Since we don't have any values to substitute for b, you solution for x is given here :)

Answer:

5/2x-1

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

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