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Olenka [21]
3 years ago
9

A real estate agent knows that he will receive a commission of $4,250 from the sale of a property when the deal is completed 37

days from now. Needing cash today, though, he signs a discount note at a credit union, using his expected commission as the maturity value. The discount rate is 9.55%. Find the effective rate (APR).
Mathematics
1 answer:
Jlenok [28]3 years ago
7 0
The effective rate can be conveniently calculated from
.. effective rate = r/(1-rt)
Assuming a 365 day year, this is
.. = 9.55%/(1 -0.0955*(37/365))
.. ≈ 9.64%
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olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

6 0
3 years ago
Find the median for the following set of data:<br><br> 13,26,35,44,38,12,47,23,26
WITCHER [35]

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

For unorganized data, median is the middle value when the numbers are arranged in ascending order.

Let's proceed ~

In ascending order :

12, 13, 23, 26, 26, 35, 38, 44, 47

So, for given data... median is 26

4 0
2 years ago
Read 2 more answers
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
What does inverse operations mean?
jok3333 [9.3K]

Answer:

A pair of inverse operations is defined as two operations that will be performed on a number or. variable, that always results in the original number or variable. Another way to think of this is. that the two inverse operations “undo” each other.

Step-by-step explanation:

for example addition and subtraction are and divison and multiplication are, because they inverse each other.

8 0
3 years ago
Multiply the polynomials.<br> (x-6)(x^2+2x-4)
Amiraneli [1.4K]
I wrote down the answer cuz it’s just easier to read that way:)

8 0
3 years ago
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