Answer:
Jose ends up with more money with $59 more than Peter.
Step-by-step explanation:
To determine the amount they will have, you have to use the formula to calculate the future value:
FV=PV(1+r)^n
FV= future value
PV= present value
r= rate of interest
n= number of periods of time
-Peter:
FV=1,000*(1+0.04)^10
FV=1,000*1.48
FV=1,480
-Jose:
FV=900*(1+0.05)^11
FV=900*1.71
FV=1,539
Difference: $1,539-$1,480=$59
According to this, the answer is that Jose ends up with more money with $59 more than Peter.
Answer:
Step-by-step explanation:
a=2d+3
b=3d-12
c=a+b so
c=2d+3+3d-12
c=5d-9
Answer: Height = 4 centimeters
Area = 144 cm^2
Step-by-step explanation:
So we know that on a rectangle opposite sides are equal in distance.
If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.
36 + 36 = 72 centimeters
The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:
80 - 72 = 8
The sum of the remaining sides is 8 so divide it between the two and that is the height.
8/2 = 4
I'm not sure what the question wants so here is pretty much everything:
Height: 4 cm
Area: 144 cm^2
Answer:
The maximum possible error of in measurement of the angle is 
Step-by-step explanation:
From the question we are told that
The angle of elevation is 
The height of the tree is h
The distance from the base is D
h is mathematically represented as
Note : this evaluated using SOHCAHTOA i,e
Generally for small angles the series approximation of 
So given that 
=> 
Now from the question the relative error of height should be at most
%
=> 
=> 
=> 
So for 
substituting values
![d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p](https://tex.z-dn.net/?f=d%20%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%20%3D%20%20%5Cpm%20%20%5Cfrac%7B%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%2B%20%20%5Cfrac%7B%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%5E3%20%7D%7B3%7D%20%7D%7B1%2B%20%5B%5Cfrac%7B%5Cpi%7D%7B12%7D%20%5D%20%5E2%7D%20%2A%20%20%20%20%5C%20p)
=> 
Converting to degree
