Leo's balance after 9 months will be: $1757.49
Step-by-step explanation:
It is given that the balances follow a geometric sequence
First of all, we have to find the common ratio
Here

Common ratio is:

So r = 1.02
The general form for geometric sequence is:

Putting the first term and r

To find the 9th month's balance
Putting n=9

Rounding off to nearest hundredth
$1757.49
Hence,
Leo's balance after 9 months will be: $1757.49
Keywords: Geometric sequence, balance
Learn more about geometric sequence at:
#LearnwithBrainly
Yes it is true:
(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful
Answer:
Mode: 5 and 8
Median: 6.5
Step-by-step explanation:
Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others) or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.
Median - The middle number. To start, order your numbers from least to greatest.
1, 3, 5, 5, 8, 8, 10, 14
You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2
8 + 5 = 13
13/ 2 = 6.5
Answer:
y=2x+7
Step-by-step explanation:
A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).
Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:
y=2x+b
The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.
y=2x+b
5=2(-1)+b
5=-2+b
Add 2 to both sides to isolate b
5+2=-2+b+2
7=b
Now that we know b, we plug that into our original equation and now we have a final equation of:
y=2x+7
I hope this helps!