Answer:
Option 3
Step-by-step explanation:
This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.
Answer:
$1,109.62
Step-by-step explanation:
Let's first compute the <em>future value FV.</em>
In order to see the rule of formation, let's see the value (in $) for the first few years
<u>End of year 0</u>
1,000
<u>End of year 1(capital + interest + new deposit)</u>
1,000*(1.09)+10
<u>End of year 2 (capital + interest + new deposit)</u>
(1,000*(1.09)+10)*1.09 +10 =

<u>End of year 3 (capital + interest + new deposit)</u>

and we can see that at the end of year 50, the future value is

The sum

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

and the future value is then

The <em>present value PV</em> is

rounded to the nearest hundredth.
The answers are option C) segment and option D) ray
<u>Step-by-step explanation</u>:
Line :
- A line has arrow mark in the two ends. So, the diagram is not a line.
Point :
- A point represents particular spot as a small dot. So, the diagram is not a point.
Segment :
- It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.
Ray :
- A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.
It'd be clearer if you'd write: "How many tenths are there in 2 3/5?"
2 3/5 13/5
---------- = ---------- = 26
(1`/10) 1/10
There are 26 tenths in 2 3/5.
Answer:
X=3
Y=1
Step-by-step explanation:
In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.
5y-4x =-7 Equation 1
2y+4x=14 Equation 2
Since x has the same coefficient, it's easy to eliminate by adding up the two equations
5y+2y=7y
-4x+(+4x)=0
-7+(+14)=7
We have 7y=7
Divide both sides by 7,
y=7/7
y=1
Substituting for y in equation 2.
2(1)+4x=14
2+4x=14
4x=14-2
4x=12
x=12/4
x= 3