He drive 120 kilometres in 1.5 hours.
Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23
I don’t really understand what you mean could you be more specific please.
Answer:
x - 8y - z = 1
Step-by-step explanation:
Data provided according to the question is as follows
f(x,y) = z = ln(x - 8y)
Now the equation for the tangent plane to the surface
For z = f (x,y) at the point P
is

Now the partial derivatives of f are


= 1
Now

= -8
So, the tangent equation is

Now after solving this, the following equation arise
z = x - 9 - 8y + 8
z = x - 8y - 1
Therefore
x - 8y - z = 1
Answer:
1/8 for the first one then 1/6 for the second one
Step-by-step explanation: