Answer:
87.5
Step-by-step explanation:
87.5 because if your earning a 3.5% of the $500 then that means you're earning 17.5 dollars.in an year therefore in five years you multiply the 17.5 x 5 years which will give you at 87.5 so we've had in total you can get to 587.5 dollars
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
The second option
hope this helps<3
George C.
Jul 24, 2018
(
x
+
2
)
(
x
+
6
)
2
=
0
Explanation:
Given:
x
3
+
14
x
2
+
60
x
+
72
=
0
By the rational roots theorem, any rational zeros of the given cubic are expressible in the form
p
q
for integers
p
,
q
with
p
a divisor of the constant term
72
and
q
a divisor of the coefficient
1
of the leading term.
That means that the only possible rational zeros are:
±
1
,
±
2
,
±
3
,
±
4
,
±
6
,
±
8
,
±
9
,
±
12
,
±
18
,
±
24
,
±
36
,
±
72
In addition, note that all of the coefficients are positive and the constant term is non-zero. As a result, any real zero (rational or otherwise) of this cubic must be negative.
So that leaves rational possibilities:
−
1
,
−
2
,
−
3
,
−
4
,
−
6
,
−
8
,
−
9
,
−
12
,
−
18
,
−
24
,
−
36
,
−
72
We find:
(
−
2
)
3
+
14
(
−
2
)
2
+
60
(
−
2
)
+
72
=
−
8
+
56
−
120
+
72
=
0
So
x
=
−
2
is a zero and
(
x
+
2
)
a factor:
x
3
+
14
x
2
+
60
+
72
=
(
x
+
2
)
(
x
2
+
12
x
+
36
)
Without trying any more of our "possible" zeros, we can recognise the remaining quadratic factor as a perfect square trinomial:
x
2
+
12
x
+
36
=
x
2
+
2
(
x
)
(
6
)
+
6
2
=
(
x
+
6
)
2
So the factored form of the given cubic equation can be written:
(
x
+
2
)
(
x
+
6
)
2
=
0
The perimeter of the figure is 22 units.
