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rodikova [14]
3 years ago
15

Need help with question 13B i can not figure it out please help.

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0
Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤  60

The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤  60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤  60     Combine the tax, tip, scone and Lattes 

(1.17) * (4.5x + 3) ≤ 60                            Divide by 1.17
4.5x + 3 ≤ 60 / 1.17 
4.5x + 3 ≤ 51.28                                      Subtract 3
4.5x ≤ 48.28                                            Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72 

Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer.. 

Answer: 10 <<<<
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Step-by-step explanation:

v = u + at

at = v - u

a =  \frac{v  - u}{t}

8 0
3 years ago
Please help me out am confused​
Kipish [7]

Answer:

Step-by-step explanation:

separate into squares

i separated it into three squares (rectangles);

9x5

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3x2

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7 0
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
2 years ago
Please help me solve for the slope of the graph
zalisa [80]

Answer:

4/5

Step-by-step explanation:

Take two points on the lines. From here, we can get (5, 2) and (10, 6). Slope formula involves taking RISE/RUN, which is where you take y-y/x-x. <u>Stay consistent on how you order the numbers.</u> I like positive numbers, so we'll do (6-2)/(10-5). That gives us 4/5, which is your slope.

8 0
2 years ago
What’s the answer???
BARSIC [14]
It would be C , hope this helps
4 0
3 years ago
Read 2 more answers
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