1 dozen= 12
12*10= 120 cookies
chocolate chip is 1/2
1/2 of 120 is 60
60 chocolate chip cookies
Peanut Butter is 1/4 (or half of 1/2)
1/2=60 so that means 1/4=30
30 PB cookies
Sugar and oatmeal raisin are both 1/8 (half of 1/4)
1/4= 30 so that means 1/8=15
15 Sugar Cookies
15 Oatmeal Raisin
3/5 of PB were burned
Original PB was 30
3/5 of 30 is 18
18 cookies were burnt
30-18=12 (which were salvaged)
12 PB cookies remain
Hope this helps
It takes about 14.55 years for quadruple your money
<em><u>Solution:</u></em>
Given that,
At 10 percent interest, how long does it take to quadruple your money
Rule of 144:
The Rule of 144 will tell you how long it will take an investment to quadruple
Here,
Rate of interest = 10 %
Therefore, number of years to quadruple your money is obtained by dividing 144 by 10
<em><u>Rule of 144 Formula: </u></em>
![N = \frac{144}{R}](https://tex.z-dn.net/?f=N%20%3D%20%5Cfrac%7B144%7D%7BR%7D)
Where:
N = Number of many years times.
144 = Is the constant variable.
R = Rate of interest.
![\rightarrow N = \frac{144}{10} = 14.4](https://tex.z-dn.net/?f=%5Crightarrow%20N%20%3D%20%20%5Cfrac%7B144%7D%7B10%7D%20%3D%2014.4)
Thus it takes about 14.4 years for quadruple your money.
<em><u>Another method:</u></em>
If initial amount is $ 1 and it if quadruples it should be $ 4
We have to find the number of years if rate of interest is 10 %
Let "n" be the number of years
Then we can say,
![Amount = Principal(1+\frac{R}{100})^n](https://tex.z-dn.net/?f=Amount%20%3D%20Principal%281%2B%5Cfrac%7BR%7D%7B100%7D%29%5En)
![4 = 1(1+\frac{10}{100})^n](https://tex.z-dn.net/?f=4%20%3D%201%281%2B%5Cfrac%7B10%7D%7B100%7D%29%5En)
![4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55](https://tex.z-dn.net/?f=4%20%3D%201%281%2B0.1%29%5En%5C%5C%5C%5C4%3D%201%281.1%29%5En%5C%5C%5C%5C4%20%3D%201.1%5En%5C%5C%5C%5CWe%5C%20know%5C%20that%2C%5C%5C%5C%5C%281.1%29%5E%7B14.55%7D%20%3D%201.1%5En%5C%5C%5C%5CWe%5C%20know%5C%20that%5C%5C%5C%5CIf%5C%20a%5Em%20%3D%20a%5En%5C%20then%5C%20m%20%3D%20n%5C%5C%5C%5CTherefore%2C%5C%5C%5C%5C14.55%20%3D%20n%5C%5C%5C%5Cn%20%3D%2014.55)
Thus Option D 14.55 years is correct
Answer:
p=2,-16
Step-by-step explanation:
move all terms to left side and set equal to zero. then set each factor equal to zero
What is the question? i dont understand.
Since the shading on the left side, and the line goes through the x axis, your answer would be B.