In accordance with the <em>compound interest</em> model, the <em>future</em> value if you invest $ 1200 at 5.25 % compounded quarterly for two years is $ 1807.
<h3>How to determine the current capital by compound interest model</h3>
The <em>compound interest</em> model is based on the assumption that the <em>initial</em> capital obtain gains continuously in time. This model is represented by the following expression:
C' = C · (1 + r/100)ˣ (1)
Where:
- C - Initial capital
- C' - Current capital
- r - Interest rate
- x - Time, in quarters
Please notice that a year consists in four quarters. If we know that C = 1200, r = 5.25 and x = 8, then the current capital is:
C' = 1200 · (1 + 5.25/100)⁸
C' = 1807
In accordance with the <em>compound interest</em> model, the <em>future</em> value if you invest $ 1200 at 5.25 % compounded quarterly for two years is $ 1807.
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Answer:
yes
Step-by-step explanation:
If two men can finish a piece of work in 30 days, then how many men will be required to finish the same work in 10 days?
it would take a half of man to finish the same piece of work in 10 days.
Answer:
The answers are
x
=
−
2
and
x
=
−
4
.
Step-by-step explanation:
To start, the quadratic formula is
x
=
−
b
±
√
b
2
−
4
a
c
2
a
In this problem,
a
=
1
(as the
x
2
term has no coefficient),
b
=
6
, and
c
=
8
.
Plug those values into the quadratic equation to get:
x
=
−
6
±
√
6
2
−
4
(
1
)
(
8
)
2
(
1
)
Multiply
2
⋅
1
on the bottom of the fraction:
x
=
−
6
±
√
6
2
−
4
(
1
)
(
8
)
2
Square
6
and multiply
4
⋅
1
⋅
8
within the square root:
x
=
−
6
±
√
36
−
32
2
Subtract
36
−
32
inside the root:
x
=
−
6
±
√
4
2
Solve for
√
4
x
=
−
6
±
2
2
If the
±
is positive, you get
x
=
−
6
+
2
2
, which simplifies to
x
=
−
4
2
, or
−
2
If the
±
is negative, you get
x
=
−
6
−
2
2
, which simplifies to
x
=
−
8
2
, or
−
4