Answer:
$613.04
Step-by-step explanation:
<em>Compound Interest Formula:</em>
n = number of compounds
t = time
r = interest rate
P = principle amount (original amount)
A = final amount
Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.
Plug Values into equation:
Simplify inside parenthesis
Calculate exponent
Multiply values
Round
Answer:
The net gain or profit is $600
Step-by-step explanation:
Firstly, we should know the losses of the customer which were:
9 when the customer bought 1 MCS Oct 50
1 when the customer bought back 1 MCS Jul 50
Therefore the total losses were 10.
And the gains were:
4 when the customer sold 1 MCS Jul 50
12 when the customer sold 1 MCS Oct 50
Therefore the total gains were 16.
Therefore (16 - 10)×100 = $600
Therefore the net gain or profit is $600
Answer:
Paulo will need to mow at least 31 lawns to reach his goal of $2115.00.
Step-by-step explanation:
1. This is an inequality problem. The solution for this problem will involve creating in inequality to solve for the answer. To create an inequality, it is important to keep your information organized concisely.
Total = $2115.00
Lawn = $70.00
x = Amount of Lawns
2. From this information, the inequality can be formed.
70x 
2115
3. Using the order of operations, solve the inequality.
x 2215/70
x 30.21
4. The minimum number of lawns Paulo needs to mow is 31 lawns to meet his goal of $2115.00.
What do you want to calculate?
CALCULATE IT!
Solve
Graph
Lesson
Problem:
Solve
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
x
+
2
y
=
−
6
;
3
x
+
8
y
=
−
20
Step: Solve
x
+
2
y
=
−
6
for x:
x
+
2
y
+
−
2
y
=
−
6
+
−
2
y
(Add -2y to both sides)
x
=
−
2
y
−
6
Step: Substitute
−
2
y
−
6
for
x
in
3
x
+
8
y
=
−
20
:
3
x
+
8
y
=
−
20
3
(
−
2
y
−
6
)
+
8
y
=
−
20
2
y
−
18
=
−
20
(Simplify both sides of the equation)
2
y
−
18
+
18
=
−
20
+
18
(Add 18 to both sides)
2
y
=
−
2
2
y
2
=
−
2
2
(Divide both sides by 2)
y
=
−
1
Step: Substitute
−
1
for
y
in
x
=
−
2
y
−
6
:
x
=
−
2
y
−
6
x
=
(
−
2
)
(
−
1
)
−
6
x
=
−
4
(Simplify both sides of the equation)
Answer:
x
=
−
4
and
y
=
−
1
Let's have the first number, the larger number, be <em>x</em>. We'll have the second, smaller number be <em>y</em>.
We know that x = y + 6, since x is 6 greater than y.
We also know that 330 = x + y.
Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.
Now all we need to do is simplify the equation. First, we subtract 6 from both sides:
330 - 6 = 324
2y + 6 - 6 = 2y.
So we have 324 = 2y. Then we divide both sides by 2 to get:
162 = y
Plug in y = 162 into the equation x = y + 6 to get:
x = 162 + 6
x = 168
Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.
