Answer:So, since it is continuously, we need to think of PERT
A=P\times e^{rt}
So, we just plug our numbers in to solve for T
8000=4000e^{.07t}\\\ln(8000)=\ln(4000e^{.07t})\\\ln(8000) = \ln(4000) + \ln(e^{.07t})\\\ln(8000)=\ln(4000)+.07t\ln(e)\\\ln(8000)=\ln(4000)+.07t\\\frac{\ln(8000)}{\ln(4000)}=.07t\\\frac{\ln(8000)}{.07\ln(4000)}=t\\ 15.479=t
It will take 15.479 years
Step-by-step explanation:
Answer:
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Step-by-step explanation:
Let
x -----> the amount invested at 4%
(21,000 -x) ----> the amount invested at 10%
we know that
The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870
![4\%=4/100=0.04](https://tex.z-dn.net/?f=4%5C%25%3D4%2F100%3D0.04)
![10\%=10/100=0.10](https://tex.z-dn.net/?f=10%5C%25%3D10%2F100%3D0.10)
so
![0.04(x)+0.10(21,000-x)=870](https://tex.z-dn.net/?f=0.04%28x%29%2B0.10%2821%2C000-x%29%3D870)
Solve for x
![0.04x+2,100-0.10x=870](https://tex.z-dn.net/?f=0.04x%2B2%2C100-0.10x%3D870)
![0.10x-0.04x=2,100-870](https://tex.z-dn.net/?f=0.10x-0.04x%3D2%2C100-870)
![0.06x=1,230](https://tex.z-dn.net/?f=0.06x%3D1%2C230)
![x=\$20,500](https://tex.z-dn.net/?f=x%3D%5C%2420%2C500)
![21,000-x=\$500](https://tex.z-dn.net/?f=21%2C000-x%3D%5C%24500)
therefore
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Answer:
C
Step-by-step explanation:
Answer:
If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle
OR
You can also find it by congurency.
Hope this helps
If four coordinates are given then:-
- Find length of the sides using distance formula
![\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D%7D)
- Now break down into two triangles .
- Use herons formula and find areas of the triangles .add them and get the area