Answer:
Step-by-step explanation:
We have been given an expression 
. We are asked to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
We know that a perfect square trinomial is in form 
.
To convert our given expression into perfect square trinomial, we need to add and subtract 
from our given expression.
We can see that value of b is 11, so we need to add and subtract 
to our expression as:
Upon comparing our expression with 
, we can see that 
, 
and 
.
Upon simplifying our expression, we will get:
Therefore, our perfect square would be .
9514 1404 393
Answer:
$503.85
Step-by-step explanation:
The amortization formula can help with this.
A = P(r/12)/(1 -(1 +r/12)^(-n))
where P is the loan value, A is the monthly payment, r is the annual interest rate, and n is the number of monthly payments.
We want to find P. All of the other values are given.
P = A(1 -(1 +r/12)^-n)/(r/12)
P = 32.48(1 -1.012667^-18)/(0.012667) = 31.48·16.0054
P ≈ 503.85
The equivalent cash price is about $503.85.
Solution
f(r) = 3.14
Now we have to find the area of the circle when the radius (r) = 4.
Plug in r = 4 in f(r) to get the area of the circle.
f(4) = 3.14
f(4) = 3.14 * 4 * 4
f(4) = 3.14 *16
f(4) = 50.24
The answer is C. 50.24
Answer:
the answer to your question is 0.4375
Answer:
Amount of VAT paid by Jeremy is € 9.31 .
Step-by-step explanation:
As given
In Germany, VAT is at 19% .
Jeremy buys a calculator in Germany for €58.31
This price includes VAT.
Let us assume that the cost of calculator excluding tax is x .
19% is written in the decimal form .
= 0.19
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × x
= 0.19x
Than
Cost of calaculator + VAT price = Cost of calculator including VAT
x + 0.19 × x = 58.31
x + 0.19x = 58.31
1.19x = 58.31
x = €49 (Approx)
Thus cost price of calculator excluding VAT is €49 .
VAT Price = 0.19 × Cost price of calculator excluding VAT
= 0.19 × 49
= € 9.31
Therefore the amount of VAT paid by Jeremy is € 9.31 .
