Use the given information to write an equation, then solve it.
$1600 = (1 + 1 + 1/2)×(monthly rent) . . . . relationship given in the problem statement
$1600/2.5 = monthly rent = $640 . . . . divide by the coefficient of monthly rent
Answer:
Step-by-step explanation:
x
2
+
x
−
6
=
(
x
+
3
)
(
x
−
2
)
x
2
−
3
x
−
4
=
(
x
−
4
)
(
x
+
1
)
Each of the linear factors occurs precisely once, so the sign of the given rational expression will change at each of the points where one of the linear factors is zero. That is at:
x
=
−
3
,
−
1
,
2
,
4
Note that when
x
is large, the
x
2
terms will dominate the values of the numerator and denominator, making both positive.
Hence the sign of the value of the rational expression in each of the intervals
(
−
∞
,
−
3
)
,
(
−
3
,
−
1
)
,
(
−
1
,
2
)
,
(
2
,
4
)
and
(
4
,
∞
)
follows the pattern
+
−
+
−
+
. Hence the intervals
(
−
3
,
−
1
)
and
(
2
,
4
)
are both part of the solution set.
When
x
=
−
1
or
x
=
4
, the denominator is zero so the rational expression is undefined. Since the numerator is non-zero at those values, the function will have vertical asymptotes at those points (and not satisfy the inequality).
When
x
=
−
3
or
x
=
2
, the numerator is zero and the denominator is non-zero. So the function will be zero and satisfy the inequality at those points.
Hence the solution is:
x
∈
[
−
3
,
−
1
)
∪
[
2
,
4
)
graph{(x^2+x-6)/(x^2-3x-4) [-10, 10, -5, 5]}
Answer:
$56,558.1
Step-by-step explanation:
This is a question on compound interest.
The formula to calculate the Total Amount based on compound interest is given as:
A = P( 1 + r/n) ^nt
A = Total or Final amount in the account after t years
P = Principal/ Initial amount invested=$35,000
r = Interest rate = 12%
n = compounding Frequency = daily = using 30 days in a month = 30 × 12 = 360 days
t = time in years = 4
A = $35,000( 1 + 0.12/360)^360 × 4
A = $56558.08
Approximately to the nearest cent ≈ A = $56,558.1
Therefore, Priscilla should be expecting $56,558.1 in the account after 4 years.
Answer:
5/6
or
0.833...
Step-by-step explanation:
Hope this helps!
