Answer:
In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.
x + y + y + 16 = 360
x + y + y = 344 <----(360 -16)
Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.
x + 2y = 344
The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.
Step-by-step explanation:
x + 2(90) = 344
x + 180 = 344
x = 344-180
x = 164
THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*
3 quarts and 3 pints would be the answer to this
Answer:
monthly payment is about $1422 (rounded)
"taking this loan would be a smart decision because even after paying off the loan, he is still making a handsome profit (because his income per month is more than his loan payment)."
Step-by-step explanation:
The loan is an annuity so we use the formula for annuity to find the monthly payments he has to make.
![PV=C*\frac{1-(1+r)^{-n}}{r}](https://tex.z-dn.net/?f=PV%3DC%2A%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D)
Where
PV is present value of the loan (250,000)
C is the monthly payment (what we are trying to find)
n is the number of months (30 years * 12 = 360 months)
r is the rate of interest per month ( i = 5.5%/12 = 0.0046)
Putting these values, we solve for C:
![PV=C*\frac{1-(1+r)^{-n}}{r}\\250,000=C*\frac{1-(1+0.0046)^{-360}}{0.0046}\\250,000=C*\frac{1-1.0046^{-360}}{0.0046}\\250,000=C*175.7332\\C=1422](https://tex.z-dn.net/?f=PV%3DC%2A%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%5C%5C250%2C000%3DC%2A%5Cfrac%7B1-%281%2B0.0046%29%5E%7B-360%7D%7D%7B0.0046%7D%5C%5C250%2C000%3DC%2A%5Cfrac%7B1-1.0046%5E%7B-360%7D%7D%7B0.0046%7D%5C%5C250%2C000%3DC%2A175.7332%5C%5CC%3D1422)
So monthly payment is about $1422 (rounded)
Since, each of the 8 apartments are going to be rented out at 500, total monthly income would be 8 * 500 = $4000
taking this loan would be a smart decision because even after paying off the loan, he is still making a handsome profit (because his income per month is more than his loan payment).
Answer:
Best Answer
a vertical stretch (multiply the function by 3): y = 3x^3
horizontal shift of 4 units to the right (subtract 4 units from the x): y = 3(x - 4)^3
Vertical shift 3 units down (subtract 3 units from the function): y = 3(x - 4)^3 - 3
Step-by-step explanation:
Answer:
Left side of graph of function would be up .
Step-by-step explanation:
Given :
.
To find : In which direction does the left side of the graph of this function point.
Solution : We have given that
.
We can see from the given function Degree is even and leading coefficient is positive .
By the behavior of end points : left side of graph would be up .
Therefore, left side of graph of function would be up .