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3 years ago

Vladimir has a credit card that uses the average daily balance method. For

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Multiply 1050 by 14 and add to 1280 x 17 and divide by total days:

((1050 x 14) + (1280x17)) / ( 14+ 17)

You would then need to calculate the interests for that time period by dividing the annual interest rate by days in a year and multiply by total days in the billing cycle:

0.19/365 x 31

The finale Aquarian would be:

(0.19/365 x 31) ((1050 x 14) + (1280x17)) / ( 14+ 17)

The answer is B

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Georgia [21]

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The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

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3 years ago

Question 1<br><br> Which of the following is NOT linked to cardiovascular disease

Anestetic [448]

Unsaturated fat is the correct answer

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2 years ago

If the pressure in the tank is 1.5 bar and atmospheric pressure is 1 bar, determine l, in m, for water with a density of 997

il63 [147K]

this can be solve using the formulaP = rghwhere P is the total pressurer is the densityh is the heightg is the acceleration due to gravity
fist solve the total pressureP = 1.5 bar + 1 barP = 2.5 barP = 250,000 Pa
P = rgh250,000 = (997)(9.81)hh =25.56 m

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3 years ago