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gtnhenbr [62]
3 years ago
6

Estimate by rounding the first number to the nearest ten and the second number to the nearest hundred. 19 Х 307 II ? Х ? = ?​

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:

6,200

Step-by-step explanation:

19-20

307-310

310 x 20= 6,200 or 20 x 310= 6,200

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the rise/ run would be 3/3

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Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
viktelen [127]

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

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3 years ago
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars i
sattari [20]

Answer:

Development costs: $2757

Promotion costs: $3155

Step-by-step explanation:

This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.

Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).

Let's solve separately.

We need to maximize:

$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y

$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x

Let's go:

$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y

we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.

deriv = $51200/(y+4)/(y+4) - $1000

We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.

(y+4)^2 = $51.2

y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).

y ~= 3.155417528

lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.

rounding $1000y to the nearest dollar gives us $3155

Let's do the same for x:

$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x

deriv = $95200/(x+7)/(x+7) - $1000

$95200/(x+7)/(x+7) - $1000 = $0

(x+7)^2 = 95.2

(x+7) ~= 9.75704873412

x ~= 2.75704...

rounding $1000x to the nearest dollar yields $2757

3 0
3 years ago
Claudia is making gelatin dessert for a party she plans on making 12 servings for every 5 people if each pan Claudia uses to mak
madam [21]
12×2=24
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3 years ago
Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets
OLEGan [10]

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

7 0
3 years ago
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