Step-by-step explanation:
first fish tank: 95-4x
second fish tank: 40+5x
1. Define variable
The variable x represents the number of days.
2. Write the inequality
<em>95-4x=40+5x</em>
<em />
3. You probably don't need the answer but I am just going to solve.
The first fish tank will have less water than the second fish tank after 7 days.
<em>95-4x=40+5x </em>
<em>95-4(7)=40+5(7)</em>
<em>95-28=40+35</em>
<em>67=75</em>
<em>Since the first equation (95-4x) represents the first fish tank, and the second equation (40+5x) represents the second fish tank, the solution shows how the amount of water in the first fish tank is less than the amount of water un the second fish tank after 7 days.</em>
Find square footage of his yard
assuming is is roughtly a rectangle
area of rectangle=length times width
length=20ft
width=12 ft
area=length times width=20 times 12= 240 square feet
how many packages?
1 pack times x is at least 240
1 pack times x>240
50 times x>240
divide both sides by 50
x>4.8
you can't buy 0.8 pack, so round up
5 packs needed
Answer:
-5n + 8
Step-by-step explanation:
<u>1. What is the difference?</u>
The sequence goes down by 5. This means that the formula will have -5n in it.
<u>2. Work out the term before the first term.</u>
The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.
3 + 5 = 8 Remember, this is positive 8. (+8)
<u>3. Put that term at the end of the equation. </u>
We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.
-5n + 8 This is our answer!
Just to prove it works:
<em>Substitute: n = term</em>
Lets see if we can get the 3rd term which is -7. (n = 3)
-5(3) + 8
-15 + 8 = -7
See, it works!
Answer: she will have $2042.4 have in the account after 1 year.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 2.1% = 2.1/100 = 0.021
n = 12 because it was compounded 12 times in a year.
t = 1 year
Therefore,
A = 2000(1 + 0.021/12)^12 × 1
A = 2000(1 + 0.00175)^12
A = 2000(1.00175)^12
A = $2042.4
