Answer:
1095$ should be invested today .
Step-by-step explanation:
The formula of present value will be applied here :
Present Value= Future Value/(1+ interest rate)^Years
Present Value = 1250/(1.045)^3
Answer:
0.292
Step-by-step explanation:
Combinations can be used to solve the following problem.
We are choosing 5 widgets from 25 = ²⁵C₅
We want to select zero widgets from defective widgets = ⁵C₀
From the 20 non-defective widgets we want to select 5 = ²⁰C₅
So the probability is:
P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅
P = (1 * 15504) / 53130
= 15504/ 53130
=0.292 ..
Answer: 12$
Step-by-step explanation:
We need to round 79.45 to the nearest 10 dollars, which is 80.
We can then get 15% of it easily since its a whole number by adding 10% (8) and 5% (4) to get an estimate of around 12 dollars.
![\bf \textit{sum of all interior angles in a polygon}\\\\ n\theta = 180(n-2)~~ \begin{cases} n = sides\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n= 100 \end{cases}\implies \theta 100=180(100-2) \\\\\\ 100\theta = 180(98)\implies 100\theta =17640\implies \theta =\cfrac{17640}{100}\implies \theta = \cfrac{882}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bsum%20of%20all%20interior%20angles%20in%20a%20polygon%7D%5C%5C%5C%5C%20n%5Ctheta%20%3D%20180%28n-2%29~~%20%5Cbegin%7Bcases%7D%20n%20%3D%20sides%5C%5C%20%5Ctheta%20%3Dangle~in%5C%5C%20%5Cqquad%20degrees%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20n%3D%20100%20%5Cend%7Bcases%7D%5Cimplies%20%5Ctheta%20100%3D180%28100-2%29%20%5C%5C%5C%5C%5C%5C%20100%5Ctheta%20%3D%20180%2898%29%5Cimplies%20100%5Ctheta%20%3D17640%5Cimplies%20%5Ctheta%20%3D%5Ccfrac%7B17640%7D%7B100%7D%5Cimplies%20%5Ctheta%20%3D%20%5Ccfrac%7B882%7D%7B5%7D)
which is pretty much just 176.4°, well, we also know that θ = 3x + 26.4
Answer:
x = 8
Step-by-step explanation:
complementary means add to 90
6x + 13 + 4x - 3 = 90
10x + 10 = 90
10x = 80
x = 8
