Answer:
$12 000 in Portfolio 1 and $13 000 in Portfolio 2
Step-by-step explanation:
The formula for simple interest is
I = Prt
For each portfolio, t = 1 yr
For Portfolio 1, i = 5.25 % = 0.0525
For Portfolio 2, i = 4 % = 0.04
Let x = amount invested in Portfolio 1. Then
25 000 - x = amount invested in Portfolio 2 and

25 000 - x = 25 000 - 12 000 = 13 000
So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.
Check:

OK.
Answer:
y ≤ -3
closed circle starting from -3 and going to the left.
Step-by-step explanation:
A)1.625m and b I can't read
Answer:
c. 50kg = 50,000g
Step-by-step explanation:
We have to solve these following rule of three to see which of the following is a correct conversion of 50kg.
a)
Each kg has 1000g
So
1kg - 1000g
50kg - xg
x = 50*1000
x = 50,000g
Conversion a) is wrong
b)
Each kg has 1000000mg
So
1kg - 1000000g
50kg - x mg
x = 50*1000000
x = 50,000,000 mg
Conversion b) is wrong
c)
In a), we have already converted 50kg to g. We have verified that 50kg = 50,000g. So c. is correct
d)
In b), we have already converrted 50kg to mg. We have verified that 50kg = 50,000,000g. So d. is wrong
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable
in this polynomial is
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to
. The discriminant of this polynomial is
.
.
Similarly:
.
By the Factor Theorem, if
is a root of a polynomial, then
would be a factor of that polynomial. Note the minus sign between
and
.
- The root
corresponds to the factor
, which simplifies to
. - The root
corresponds to the factor
, which simplifies to
.
Verify that
indeed expands to the original polynomial:
.