First you need to find how much 20% of $18.50 is. To do this, you need to multiply 18.50 by 20% which in decimal form is 0.2
$18.50x0.2=$3.70
Now you need to subtract $3.70 from $18.50
$18.50-$3.70=$14.80
Now that you have the new price, you need to find 6.75% of it to get the sales tax, so you multiply $14.80 by 6.75%, which is 0.0675 as a decimal.
$14.80x0.0675=$0.999 or $1
Now you add the sales tax to $14.80
$14.80+$1=$15.80 or $14.80+$0.999=$15.799
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
answer is 5.58
wait I explain it in some time
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that, 
"The sum of y and x is 80"
This means, 
<h3>Step 2: Make use of the facts</h3>
If , then 
.
We can plug this into the other equation by substitution:
This simplifies to:
Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "".
And now we substitute the value of x, into this.
By solving this out, we get:
So, the value of y is 60.
4 sqrt(400) / 4 sqrt(5)
sqrt(400) =20
4 *20
--------
4 sqrt(5)
the 4's on the top and bottom cancel
20
--------
sqrt(5)
I was taught never to leave a sqrt in the denominator
so you need to multiply by sqrt (5) in the numerator and the denominator
20* sqrt(5)
--------
sqrt(5)* sqrt(5)
20* sqrt(5)
--------
5
= 4 sqrt(5)
