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algol [13]
3 years ago
13

Bob has 200 coins in her piggy bank. Of those 40%are pennies. Out of the coins that are not pennies 25% are quarters. How many o

f the coins are quarters
Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Answer: 200 x .40 = 80 (there are 80 pennies)

200 - 80 = 120

120 x .25 = 30 (there are 30 quarters)


Step-by-step explanation:


Otrada [13]3 years ago
4 0
200×40%= 80 pennies so 200-80=120 and 25% of 120 is 30 so 30 quarters. you can use the % sign when using a calculator or move the decimal over twice like this 200×.40=80 if a % sign is unavailable
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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
2 years ago
The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpk
vaieri [72.5K]

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

5 0
2 years ago
The length of a rectangle is 8 inches longer than half of its width.The area of the rectangle is 18 square inches.How many inche
SOVA2 [1]

Answer:

The correct answer is 2 inches.

Step-by-step explanation:

Let l inches and w inches be the length and width of a rectangle respectively.

According to the given problem, l - 8 = \frac{w}{2}.

Area of the rectangle is given to be, according to the question, 18 square inches.

Thus l × w = 18

⇒ l × (2l - 16) = 18

⇒ 2 l^{2} - 16l - 18 = 0

⇒  l^{2} - 8l - 9 = 0

⇒ ( l - 9) ( l + 1) = 0

The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.

Width of the rectangle is 2 inches.

5 0
3 years ago
20=v−7 what does v equal?
dedylja [7]

Answer:

27

Step-by-step explanation:

20=v-7

v=20+7

v=27

Hence, v equals to 27

3 0
2 years ago
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What is the solution to 31–3x + 9 = -18?
Naya [18.7K]
For this question,The answer is, x=-9
4 0
2 years ago
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