Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>
It will take about 3.239 years for the principal amount of $13,000 to double its initial value.
From the above question, we can deduce that we are to find the time "t"
The formula to find the time "t" in compound interest is given as:
t = ln(A/P) / r
where:
P = Principal = $13,000
R = Interest rate = 21.4%
A = Accumulated or final amount
From the question, the Amount "A" is said to be the double of the principla.
Hence,
A = $13,000 x 2
= $26,000
- Step 1: First, convert R as a percent to r as a decimal
r = R/100
r = 21.4/100
r = 0.214 per year.
- Step 2: Solve the equation for t
t = ln(A/P) / r
t = ln(26,000.00/13,000.00) / 0.214
t = 3.239 years
Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.
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1.001 is the smallest :)))
Answer:
y = 4x - 19
Step-by-step explanation:
The line is parallel to the line whose equation is;
y = 4x + 1
Parallel lines have the same slope so the slope of our line is 4.
The line passes through point (5,1)
Slope = change in y ÷ change in x
Taking another point (x,y) on the line,
Slope = 
= 4
y - 1 = 4x - 20
y = 4x - 19
Answer:
The slope is -
and the y intercept is 2.
Step-by-step explanation:
So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is 
.
Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair 
, although people usually write the number.
I hope this was helpful. Good luck!
<h3>
Answer: Choice B</h3>
With matrix subtraction, you simply subtract the corresponding values.
I like to think of it as if you had 2 buses. Each bus is a rectangle array of seats. Each seat would be a box where there's a number inside. Each seat is also labeled in a way so you can find it very quickly (eg: "seat C1" for row C, 1st seat on the very left). The rule is that you can only subtract values that are in the same seat between the two buses.
So in this case, we subtract the first upper left corner values 14 and 15 to get 14-15 = -1. The only answer that has this is choice B. So we can stop here if needed.
If we kept going then the other values would be...
row1,column2: P-R = -33-16 = -49
row1,column3: P-R = 28-(-24) = 52
row2,column1: P-R = 42-25 = 17
row2,column2: P-R = 35-(-30) = 65
row2,column3: P-R = -19-36 = -55
The values in bold correspond to the proper values shown in choice B.
As you can probably guess by now, matrix addition and subtraction is only possible if the two matrices are the same size (same number of rows, same number of columns). The matrices don't have to be square.
