Answer:
BC= 23.0km (nearest tenth)
Step-by-step explanation:
Please see the attached picture for full solution.
Answer:
(-4,2)
Step-by-step explanation:
First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.
Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.
Before:
5x + 2y = -16
3x + 7y = 2
After:
15x + 6y = -48 <----------Now we solve for y
-15x + -35y = -10
+----------------------
-29y = -58
-29 -29
y = 2
Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.
3x + 7y = 2
3x + 7(2) = 2
3x + 14 = 2
-14 -14
----------------------
3x = -12
3 3
x = -4
Therefore our final answer is (-4,2)
Answer:
.
Step-by-step explanation:
It is given that the sum of 10 and one-third of a number is 25.
Let as consider n be the unknown number.
One-third of a number
Sum of 10 and one-third of a number
The sum of 10 and one-third of a number is 25. It can be written as
Therefore, the required equation is
.
Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:

Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.