Answer:
Ratio between balances will be:

Where;
x = deposit
%i = interest rate annual
n = years
Step-by-step explanation:
Lets say first deposit is x$ for both investment and annual interest rate for both investment are %i. Also, they stayed under i interest in n years:
Total balance for simple interest is:

How ever total balance for compound interest is:

Answer:
20 units²
Step-by-step explanation:
I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids
Slope is 2/1 , because the formula to find the slope is rise/ run
= 6/3
= 2/1
Answer:
Step-by-step explanation:
Let c represent the number of children that attended the concert.
Let a represent the number of adults that attended the concert.
At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult. This means that the number of children that attended is
c = 4a + 10
Tickets for a concert were $5 for each child and $8 for each adult. The total ticket sales were $1730. It means that
5c + 8a = 1730
Therefore, the systems of equations that can be solved to determine the number of children, c, and adults that attended the concert is
c = 4a + 10
5c + 8a = 1730
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes