The total cost for the entire life span of the deep fryer is computed below:
Brand P total cost =Purchase price + total electricity cost
= $144+($0.49x8x12x6)
=$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
=( $37.5x3)+($0.75x 8x12x6)
= $544.5
Difference = Brand Q-Brand P
=$544.5-$426.24
=$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
Answer:
Yes
Step-by-step explanation:
Given that a teacher prepares 26 tiles with 5 vowels numbered 1 and 21 consonants numbered 2.
The probability for drawing vowel =
Prob for consonant =
If number of trials is atleast 30 we can expect reliable results.
Here the results are recorded for 120 times at random.
Since number of trials is large, we can expect a reliable and accurate results representing the actual probability.
This is because more the number of trials, the less would be the margin of error i.edeviationfrom the expected probability would be minimum
$30 because you are taking away 20% of $30 and then adding back that 20%.
Answer:
given you are asked to simplify

Step-by-step explanation:
You have to multiply the numerator and denominator by the denominator's conjugate.
The conjugate of a+bi is a-bi.
When you multiply conjugates, you just have to multiply first and last.
(a+bi)(a-bi)
a^2-abi+abi-b^2i^2
a^2+0 -b^2(-1)
a^2+-b^2(-1)
a^2+b^2
See no need to use the whole foil method; the middle terms cancel.
So we are multiplying top and bottom of your fraction by (-3+4i):

So you will have to use the complete foil method for the numerator. Let's do that:
(-3+5i)(-3+4i)
First: (-3)(-3)=9
Outer:: (-3)(4i)=-12i
Inner: (5i)(-3)=-15i
Last: (5i)(4i)=20i^2=20(-1)=-20
--------------------------------------------Combine like terms:
9-20-12i-15i
Simplify:
-11-27i
Now the bottom (-3-4i)(-3+4i):
F(OI)L (we are skipping OI)
First:-3(-3)=9
Last: -4i(4i)=-16i^2=-16(-1)=16
---------------------------------------------Combine like terms:
9+16=25
So our answer is ![\frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i](https://tex.z-dn.net/?f=%5Cfrac%7B-11-27i%7D%7B25%7D%7B%2Ftex%5D%20unless%20you%20want%20to%20seprate%20the%20fraction%20too%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7B-11%7D%7B25%7D%2B%5Cfrac%7B-27%7D%7B25%7Di)
Answer:
Step-by-step explanation:
Hi,
I am quite good at maths and will be happy to help you, not just in Algebra, but any other topics in maths