Answer:
$1348.07
Step-by-step explanation:
Hello!
<h3>Compound Interest Formula:

</h3>
- A = Account Balance
- P = Principle/Initial Amount
- r = Rate of Interest (decimal)
- n = Number of times compounded (per year)
- t = Number of Years
<h3>Given Information</h3>
- Account Balance = ?
- Principle Amount = $1000
- Rate of Interest = 0.02
Why is the Rate 0.02?
This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.
- Number of times compounded per year = 6
This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.
<h2>Solve </h2>
Solve by plugging in the given values into the formula.
This is really close to the first option, and since there is rounding involved with the repeating decimal, the first option should be correct.
The answer is $1348.07.
Consider a geometric sequence

let

and the common ratio be r, then the sequence is constructed as follows:

we can observe that each term of the sequence is its previous term * r.
In the given sequence, to find the common ratio we divide 6,561 by −2,187 and get -3. This means that

Let the first term

,
then the eighth term is

Answer: -3
Answer: Positive
Step-by-step explanation:
A scatter plot for speed and distance is created.
We know that distance = speed x time
Hence when speed increases , distance increases and similarly when speed decreases, distance decreases.
Thus if we plot on x axis distance, we find that x increases when y increases.
So we find that there is a strong positive relationship between the two variable
D=tS
where D= distance S=speed and T=time.
Since D varies directly as speed, we have positive relationship.
Hope this helps! :)
Answer:
a) m = -6/5
b) m = -5/6
Step-by-step explanation:
The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.
__
The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.
Answer:
Step-by-step explanation:
Y = 389.10 - 14.6 X.
Here when X increases Y decreases so correlation coefficient is negative .
correlation coefficient = - √ .657
= - .81