Answer:
6 square inches
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh where b is the base and h is the height
b= 4 inches and h = 3 inches
A = 1/2 * 4* 3
A = 1/2 * 12
A = 6 inches ^2
Answer:
Total = principal * (1+ rate/100)^ years
Total = 2,000 * 1.05^5
Total = 2,000 * 1.2762815625
Total = 2,552.36
Source: http://www.1728.org/compint2.htm
Step-by-step explanation:
Answer:
the answer is 1.
Step-by-step explanation:
=−1−(−2)
=−1+2
=1
Answer:
The Linear equation is 
The Total Cost to rent canoe is $44.5.
Step-by-step explanation:
Given:
deposit to rent a canoe = $25.00
Hourly charge for visiting deep creek lake = $6.50 per hour
we need to rent the canoe from 12:30 to 3:30 PM.
We need to find the total cost to rent the canoe.
Now Total number of hours (h) 12:30 to 3:30 PM = 3 hours
Hence Total Cost will be equal to deposit to rent a canoe plus Hourly charge for visiting deep creek lake multiplied by number of hours to visit.
Hence framing in equation form we get;
Total Cost to rent canoe = 
hence the Linear equation is
Solving the equation we get;
Total Cost = 
Hence the Total Cost to rent canoe is $44.5.
Answer:
The father is 35years old and the son Tom is 15years old
Step-by-step explanation:
Let the father's be y
Let Tom's age be T
5 years ago:
The father's age is: y — 5
Tom's age:
T— 5.
But Tom's age was one third the father's age. This is written as:
T — 5 = 1/3(y — 5)
3(T — 5) = y — 5
3T — 15 = y — 5
3T — y = — 5 + 15
3T — y = 10 (1)
In 5years time:
The father's age is:
y + 5
Tom's age:
T + 5
But in 5years time, Tom will be half as old as his father. This is written as:
T + 5 = 1/2(y + 5)
2(T + 5) = y + 5
2T + 10 = y + 5
2T — y = 5 — 10
2T — y = — 5 (2)
Therefore, the equations are
3T — y = 10 (1)
2T — y = — 5. (2)
Solving by elimination method:
Subtract equation (2) from (1)
3T — y = 10
— (2T — y = — 5)
T = 15
Substituting the value of T into equation (1)
3T — y = 10
3(15) — y = 10
45 — y = 10
45 — 10 = y
y = 35
Therefore,
The father is 35years old and the son Tom is 15years old
