Answer:
A) $287.60.
B) $323.55.
C) David would pay more for the laptop at the store.
Step-by-step explanation:
A) Given that the store's website is offering the laptop at a 60% discount off the regular price of $ 719, ignoring tax and shipping, the sale price is obtained through the following calculation:
100 - 60 = 40
719 x 0.40 = X
287.6 = X
Therefore, in this case the sale price would be $ 287.6.
B) Since the store is having a sale, offering a 50% discount off the regular price of the laptop, and David also has an in-store-only coupon for an additional 10% off the sale price, ignoring tax, the price of sale is obtained through the following calculation:
(719 x 0.5) x 0.9 = X
359.5 x 0.9 = X
323.55 = X
Thus, the sale price in the present case would be $ 323.55.
well, Diego is 4 now, so by his 18th birthday that'll be 14 years later.
![~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1600\\ r=rate\to 8.25\%\to \frac{8.25}{100}\dotfill &0.0825\\ t=years\dotfill &14 \end{cases} \\\\\\ A=1600[1+(0.0825)(14)]\implies A=1600(2.155)\implies A=3448](https://tex.z-dn.net/?f=~~~~~~%20%5Ctextit%7BSimple%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%281%2Brt%29%5Cqquad%20%5Cbegin%7Bcases%7D%20A%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%20%5C%241600%5C%5C%20r%3Drate%5Cto%208.25%5C%25%5Cto%20%5Cfrac%7B8.25%7D%7B100%7D%5Cdotfill%20%260.0825%5C%5C%20t%3Dyears%5Cdotfill%20%2614%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D1600%5B1%2B%280.0825%29%2814%29%5D%5Cimplies%20A%3D1600%282.155%29%5Cimplies%20A%3D3448)
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
You see, start at 1 and 1/3, and since the denominator is different from 1/6, find an equivalent fraction. Which is 1 and 2/6, now subtract 1/6 from that number. The answer is 1 and 1/6
Well to find the area, you simply need to find the formulas! Sadly it specifically depends on the shape alothough that’s what googled for! Just look up the formulas and plug in the legnth width and height maybe even perimeter of base! There you have it!
