Answer:
$19,747.96
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below:

<em>A = total</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 5.5% into a decimal:
5.5% ->
-> 0.055
Next, plug in the values into the equation:


After 5 years, you will have $19,747.96
The correct answer is 10/15, simplified to 2/3.
Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.
Answer:
<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>
Step-by-step explanation:
let x be the number of seats in A,
y be the number of seats in B, and
z be the number of lawn seats.
y=3x
the total number of seats is given by
(x+y+z)=13000
put y=3x
(x+3x+z)=13000
(4x+z)=13000------1
also
(4x+z)13000=503000----2
hence the systems of equation is
(4x+z)=13000------1
(4x+z)13000=503000----2
Answer:
Light to chemical
Step-by-step explanation:
Photosynthesis is a transformation of light to chemical energy because energy from the sun is absorbed and then made into glucose for the plant.