Answer: <em>time = 55.48 years</em>
Explanation:
Given:
Principal amount = $10000
Interest rate = 2% p.a
Amount = $30000
We can evaluate the time taken using the following formula:
Solving the above equation, we get
Now taking log on both sides, we get;
<em>time = 55.48 years</em>
Answer: 3 hours and 20 minutes
Step-by-step explanation:
First , you convert your fraction to a decimal.
6/5 = 1.2
Second , you subtract 4 minus 1.2 to see how much of the work shift does she have left ( since 1.2 hours is what she worked).
4 - 1.2 = 2.8 = 2 hours and 80 minutes (60 minutes is an hour) = 3 hours and 20 minutes
Problem:
find line perpendicular to 4x+7y+3=0 passing through (-2,1).
Solution:
We will first find the general form of the perpendicular line.
The perpendicular line has the form
7x-4y+k=0 .........................(1)
by switching the coefficients of x and y, and switching the sign of one of the two coefficients. This way, the slope of (1) multiplied by that of the original equation is -1, a condition that the two lines are perpendicular. The value of k is to be determined from the given point (-2,1).
To find k, we substitute x=-2, y=1 into equation (1) and solve for k.
7(-2)-4(1)+k=0
=>
k=14+4=18
Therefore the required line is
7x-4y+18=0
Answer:
b
Step-by-step explanation: