In the blank the answer is x axis
-13 to 0 = 13 degrees changed. 0 to 22 is 22 degrees changed. 13 + 22 = 35 degree change.
10-3 = 7.
So there was a change of 35 degrees across 7 hours
35/7 = 5 degrees per hour.
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
Answer:
It takes 75 years for the investment to quadruple in value
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
![E = P*I*t](https://tex.z-dn.net/?f=E%20%3D%20P%2AI%2At)
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
![T = E + P](https://tex.z-dn.net/?f=T%20%3D%20E%20%2B%20P)
In this question:
4% simple interest per year, so I = 0.04.
Quadruple:
t when T = 4P.
The interest earned is:
![T = E + P](https://tex.z-dn.net/?f=T%20%3D%20E%20%2B%20P)
![4P = E + P](https://tex.z-dn.net/?f=4P%20%3D%20E%20%2B%20P)
![E = 3P](https://tex.z-dn.net/?f=E%20%3D%203P)
Now we find the time.
![E = P*0.04*t](https://tex.z-dn.net/?f=E%20%3D%20P%2A0.04%2At)
![3P = P*0.04*t](https://tex.z-dn.net/?f=3P%20%3D%20P%2A0.04%2At)
![0.04t = 3](https://tex.z-dn.net/?f=0.04t%20%3D%203)
![t = \frac{3}{0.04}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B3%7D%7B0.04%7D)
![t = 75](https://tex.z-dn.net/?f=t%20%3D%2075)
It takes 75 years for the investment to quadruple in value
15,17,19
Suppose the three odd integers are #n#, #n+2# and #n+4#
Their sum is:
#n + (n+2) + (n+4) = 3n+6#
#13# more than twice the largest of the three is:
#2(n+4)+13 = 2n+21#
From what we are told these two are equal:
#3n+6 = 2n+21#
Subtract #2n+6# from both sides to get:
#n = 15#
So the three integers are:
#15, 17, 19#