Answer:
3 boxes of fertilisers.
Solving steps:
<u>Part A</u>:
Area of the garden, rectangle:
Length * Width
12 * 7
84 m²
Area of patio:


m²
Area of grass:
Area of the garden - Area of patio
84 m² - 9 m²
75 m²
<u>Part B</u>:
32 m² ↔ 1 box
1 m² ↔
box
75 m² ↔
boxes
75 m² ↔ 2.34375 boxes
- As she cannot buy exact 2.34375 boxes.
She should buy 3 boxes of fertilisers.
Answers:
1) -3(x + 8) = -21
2) Division Property of Equality
3) x + 8 = 7
4) Subtraction Property of Equality
Reasoning:
You are already given the equation, so that will be #1 in the Given.
#2 shows both sides being divided by -3, so you will put the Division Property of Equality.
#3 shows the Division Property after it is carried out, so you will put the equation after the division is done.
#4 shows you are subtracting 8 from both sides, so put the Subtraction Property of Equality.
The answer is 2(2x+8y)
2 x 2x=4x
2 x 8y=16y
Answer:
The growth rate he needs to achieve his goal is approximatelly 19.8%
Step-by-step explanation:
Since the sum will be compounded continuously we have to use the appropriate formula given below:
M = C*e^(r*t)
Where "M" is the final amount, C is the initial amount, r is the interest rate and t is the time elapsed. Since Sung Lee will invest that sum at 18 years old and he wants to recieve the return at 25, then the time elapsed is given by 25 -18 = 7 years. We can now apply the data to the formula:
16000 = 4000*e^(r*7)
4000*e^(7*r) = 16000
e^(7*r) = 16000/4000 = 4
ln[e^(7*r)] = ln(4)
7*r = ln(4)
r = ln(4)/7 = 0.198
The rate of interest is given by (r)*100%, so we have (0.198)*100% = 19.8%.
the rate of growth will be 1.16