Answer:
We should attempt synthetic division to find when
x
3
−
k
x
2
+
2
k
x
−
15
x
−
3
has a remainder of
0
, which would signify that it is a factor of the polynomial.
The synthetic substitution would be set up as:
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
−−−
−−−
−−−
|
0
Treating the synthetic division like any other synthetic division problem, we see that
3
−
∣
∣
∣
1
−
k
2
k
−
15
−−−
−−−
3
−−−−−−−−
−
3
k
+
9
−−−−−−−−
−
3
k
+
27
−−−−−−−−−
1
−
k
+
3
−
k
+
9
|
0
If the remainder equals
0
, then we know that
−
3
k
+
27
+
(
−
15
)
=
0
Solve this to see that
k
=
4
.
Thus,
(
x
−
3
)
is a factor of
x
3
−
4
x
2
+
8
x
−
15
.
Answer:
5
Step-by-step explanation:
Maurissa has 1965 stickers, she wants to divide them equally into 8 bags
Therefore the amount of stickers that will be left after seperating them into the bags can be calculated as follows
= 1965/8
= 245 remainder 5
Hence the amount of stickers that will be left is 5
Answer:
a) 13913
b) 4913.82
Step-by-step explanation:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
In this question:
Investment of 9000, so 
Interest rate of 8%, so 
Compounded quarterly, so 
5 years and 6 months, that is, 5 years and half, so 
(a) How much would the value of her savings at the end of the term?
(b) How much is the interest earned by your savings?
The amount subtracted by the principal. So
13913.82 - 9000 = 4913.82
After 4 weeks Imad drinks 12 grams of nectar, for Amra she drink me 8 grams of nectar after 4 weeks. So 12 + 8 = 20. 20 is your answer
Answer:if a=7, c=25 then the other one i don't know sorry
Step-by-step explanation:
