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).

Answers

Answer 1

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%

Related Questions

Which represents the solution set of 5(x+5)<85?

A.) x<12
B.) x>12
C.) x<16
D.) x>16

Answers

Isolate the VARIABLE by dividing each side by FACTROS that don't contain the VARIABLE .
YOUR answer is x<12

The correct answer is: [A]: " x < 12 " .
__________________________________________________
Given:
__________________________________________________
" 5(x + 5) < 85 " ; Simplify/ solve for "x" ;
__________________________________________________
Method 1)
__________________________________________________

Note the "distributive property of multiplication" :
__________________________________________________
a(b + c) = ab + ac ;

a(b – c) = ab – ac .
__________________________________________________
So, take the "left-hand side" of the inequality; and expand:
__________________________________________________
→ 5(x + 5) = (5*x) + (5*5) = 5x + 25 ;

Now, rewrite the inequality:

  → 5x + 25 < 85 ;

Subtract "25" from each side of the inequality ;

  → 5x + 25 – 25 < 85 – 25 ;

to get:
_______________________________________
  → 5x < 60 ;

Divide each side of the inequality by "5" ;

  → 5x / 5 < 60 / 5 ;

  → x < 12 ; which is: Answer choice: [A]: " x < 12 " .
_______________________________________

Method 2)
_______________________________________
Given:
_______________________________________
" 5(x + 5) < 85 " ; Simplify/ solve for "x" ;
_______________________________________
Divide EACH SIDE of the equation by "5" ;

[5(x + 5) ] / 5 < 85 / 5 ;

to get:

  → x + 5 < 17 ;

Subtract "5" from EACH SIDE of the inequality:

→ x + 5 – 5 < 17 – 5 ;

to get:

→ x < 12 ; which is: Answer choice: [A]: " x < 12 " .
_________________________________________________

A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?

Answers

Answer:

V = 3.6 ft³

Step-by-step explanation:

The formula of a volume of rectangular prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have

[tex]l=2\dfrac{2}{3}\ ft=\dfrac{(2)(3)+2}{3}\ ft=\dfrac{8}{3}\ dt\\\\w=1\dfrac{1}{8}\ ft=\dfrac{(1)(8)+1}{8}\ ft=\dfrac{9}{8}\ ft\\\\h=1\dfrac{1}{5}\ ft=\dfrac{(1)(5)+1}{5}\ ft=\dfrac{6}{5}\ ft[/tex]

Substitute:

[tex]V=\left(\dfrac{8}{3}\right)\left(\dfrac{9}{8}\right)\left(\dfrac{6}{5}\right)=\dfrac{432}{120}=3.6\ ft^3[/tex]

Answer:

3 3/5

Step-by-step explanation:

covert mixed fractions to improper fractions

2 2/3 becomes 8/3

1 1/8 becomes 9/8

1 1/5 become 6/5

then you multiply across will give you 432/120

since the numerator os greater than the demoninator, you have to divide 432

into 120 which then will give you 3 72/120. When you simplify the fraction the final answer is 3 3/5.

Suppose that you have a goal to drive two miles at an average rate of 60 miles per hour (mph). during the first mile you travel at a rate of 30 mph. how fast would you need to travel during the second mile in order to reach your goal of 60 mph for the total two mile distance? (hint: remember that rate is found by taking distance divided by time.)

Answers

Your goal requires you complete the distance in 2 minutes. If you travel at half the target speed, you will have used up the allowed time traveling the first half of the distance.

You need to travel the second mile at infinite speed to average 60 mph.

Three of the angles of a quadrilateral are 120° 48° and 92° what is the size of the fourth angle

Answers

360-120-48-92=100°

Each quadrilateral has 360° so simply deduct the angles to get your result.

Hi there! A quadrilateral has angles that add up to 360°. So we have the measurements of the first three angles. We will look for the 4th angle by solving. Let's add the totals of the first 3 angles. 120 + 48 + 92 is 260. Now, we subtract that number from 360. 360 - 260 is 100. There. The measurement of the fourth angle is 100°.

Rules for multiplying and dividing by 1 and 0

Answers

Mutiplying: the product is always 0

Multiplying anything by 1 is always the number your multiplying it by so for example 1*2=2

Billy is creating a rectangular patio in his backyard using square cement tiles. The length of the patio, in feet, is represented by the function l(x) = x + 5, and the width of the patio is represented by the function w(x) = x + 3. Write the standard form of the function which describes the total area of the patio, a(x) in terms of x, the side length of each tile.

Answers

The area of a rectangle by definition is given by:
a = (l) * (w)
Where,
w: width
l: long
Substituting the values we have:
a (x) = (x + 5) * (x + 3)
Rewriting:
a (x) = (x ^ 2 + 3x + 5x + 15)
a (x) = x ^ 2 + 8x + 15
Answer:
The standard form of the function which describes the total area of the patio, a (x) in terms of x is:
a (x) = x ^ 2 + 8x + 15

To find the function for the total area of Billy's patio, a(x), we multiply the length function, l(x) = x + 5, by the width function, w(x) = x + 3. Expanding this multiplication gives us the standard form a(x) = x² + 8x + 15.

Billy is creating a rectangular patio in his backyard using square cement tiles. The function for the length of the patio is l(x) = x + 5, and the function for the width is w(x) = x + 3. To find the function that describes the total area of the patio, a(x), in terms of x, we can multiply the length function by the width function.

First, let's define the area of a rectangle as the product of its length and width: a = l x w. Substituting our functions in, we get:

a(x) = (x + 5) x (x + 3)

Now we will expand this to write it in standard form:

a(x) = x² + 3x + 5x + 15
a(x) = x² + 8x + 15

Therefore, the standard form of the function describing the total area of the patio in terms of x, the side length of each tile, is a(x) = x² + 8x + 15.

A pitcher contains 3 1/2 pints of lemonade. Susan pours 5/8 of a pint into a glass, and Mateo pours 1/2 pint into a glass. How much lemonade is left in the pitcher?

Answers

we have 3 1/2 pints of lemonade
3 1/2- 1/2 (Mateo)=3
3- 5/8= 2 8/8- 5/8=2 3/8 lemonade left

According to the south carolina department of mental health web site, for every 200 u.s. women, the average number who suffer from anorexia is one. a group of 600 u.s. women is randomly chosen. part (a) correct: your answer is correct. part (b) correct: your answer is correct. part (c) how many are expected to suffer from anorexia

Answers

3 are expected to have the condition.

The expected value is the found by multiplying the probability by the number in the sample:

(1/200)×600
= (1/200)×(600/1)
= (1×600)/(200×1)
= 600/200 = 3

-1 + 5 * 6 is less than 29

Answers

As an inequality it would be: -1 + 5 * 6 < 29

A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars have

Answers

we know that
1 ounces------------------> is 0.125 cup

if one jar contains------------------> 26 ounces of spaghetti sauce
4 jars---------------------------------> X
X=4*26-----------> 104 ounces

if one ounce---------------> 0.125 cup
104 ounces----------------> X
X=104*0.125-----------> 13 cups

the answer is 13 cups

A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 14 inches,and the bicycle wheel mkes 3 full rotations before stopping. How long is the trace of water on the floor?

Answers

radius = 14 inches
one round of the tire = [tex]2 \pi r[/tex]
one round of the tire = [tex]2 \pi (14)[/tex]
one round of the tire = 87.96 inches
three rounds of the tire = 87.96 x 3 = 263.89 inches

The perimeter of a rectangle is 80 feet. Find the demensions if the length is 5 feet longer than four times the width. Then find the area of the rectangle.
-Show All Work!-

Answers

Hey there!

The first thing we should do is review the formulas for area and perimeter.
Perimeter can be expressed in two ways: a) l+w+l+w OR b) 2l+2w.
The formula for area is: l*w

We know that the length is 5 feet longer than the width, so when we're defining our variables we can say that width is equal to 'w', and length is equal to 4w+5.
Since we know that the perimeter is equal to 80, we can say that [tex]80= 2(4w+5) + 2(w)[/tex].

Now all we have to do is combine like terms and solve for 80:

[tex]80 = 2(4w+5) +2w [/tex]
[tex]80 = 8w + 10 +2w[/tex]
[tex]80 = 10w +10[/tex]
[tex]80-10 = 10w +10 -10[/tex]
[tex]70 = 10w[/tex]
[tex] \frac{70}{10} = \frac{10w}{10} [/tex]
[tex]7 = w[/tex]

We now know that the width is equal to 7 feet. To find the length, we can substitute the width into 4w+5:
[tex]l = 4w + 5 = 4(7)+5[/tex]
[tex]l = 28 + 5[/tex]
[tex]l = 33[/tex]

Now we know that the length is equal to 33 feet.

So there's your dimensions: 7ft by 33 ft.

Next, to find the area, we take l*w
[tex]33*7 = 231ft^{2} [/tex]

Hope this is helpful! If any of this doesn't make sense or there's more I can help with, please let me know!

A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?

Answers

The bill for the month is $87.50, including $40 for 600 minutes and $47.50 for 190 extra minutes.

To calculate the bill for the month, we need to consider the fixed monthly charge and the additional charge for the extra minutes used beyond the 600-minute limit.

Step 1: Calculate the additional minutes used beyond the 600-minute limit:

Total minutes used - Included minutes = Extra minutes

790 minutes - 600 minutes = 190 extra minutes

Step 2: Calculate the additional charge for the extra minutes:

Extra minutes × Additional charge per minute

190 minutes × $0.25/minute = $47.50

Step 3: Add the fixed monthly charge to the additional charge for the extra minutes:

Fixed monthly charge + Additional charge for extra minutes

$40 + $47.50 = $87.50

So, the bill for the month is $87.50.

Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40

Answers

Try this option^
note, that all members of this sequence have '-' and '+' and 5*(-2)=-10, -10*(-2)=20; 20*(-2)=-40.
It means, that the suggested sequence is geometric, where b₁=5, q=-2.

What similarity statement can you write relating the three triangles in the diagram ?

Answers

answer is B.
triangle RST ~ triangle RUS ~ triangle SUT

The similarity statement that can be written is;

D(RST) ~ D(RUS) ~D(SUT)

Discussion:

The triangles as represented are right-angled triangles.

In essence, they all have one of their angles to be 90°.

The similarity statement therefore involves the right-angles and is thus; D(RST) ~ D(RUS) ~D(SUT)

Answers

6/5, 1.22, 125%

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')

Final answer:

To compare the numbers 125%, 6/5, and 1.22, they were all converted to decimal form which revealed the least to greatest order as 1.22, 6/5, and 125%.

Explanation:

To arrange the numbers 125%, 6/5, and 1.22 from least to greatest, we first need to express all of them in the same format for an accurate comparison. Let's convert each number to a decimal:

125% as a decimal is 1.25 (since 100% is equal to 1, hence 125% is 1.25).6/5 as a decimal is 1.2 (6 divided by 5 equals 1.2).1.22 is already in decimal form.

Now, we can easily compare:

1.226/5 (1.2)125% (1.25)

The arrangement from least to greatest is 1.22, 6/5, 125%.

At the end of each year, how much money would you earn in interest if you invested $3,500 and earned 4.5% simple interest?

Answers

$157.50 would be the amount that you earn in interest

I need to collect data for this table please someone help

Answers

Total number of people living in an apartment = 18 + 36 = 54
18 people living in an apartment have a pet.

So percentage of people living in an apartment who have a pet = [tex] \frac{18}{54}*100=33 [/tex]%

Total number of people living in a house = 43 + 24 = 67
43 people living in a house have a pet.

So percentage of people living in a house who have a pet = [tex] \frac{43}{67}*100=64 [/tex]%

So answer in first blank is 33% and answer in second blank is 64%.

which describes the correlation shown?

Answers

Answer:

The correlation that is shown in the scatter plot is:

Strong positive.

Step-by-step explanation:

From the scatter plot we see that with the increase of one variable the second variable also increases.

Hence, the association is positive.

Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.

Hence, the correlation is:

Strong positive.

( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)

Answer:

Option C) Strong positive

Step-by-step explanation:

Correlation

Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases.

Looking at the graph it could be said that the variables are strongly positively correlated as with a small increase in one variable, the other variable increases.

It is not a perfect positive relation as change in one variable does not lead to equal change in other variable.

It cannot be negative relation as well.

Who topping covers more of the pizza 2/8 or 5/8

Answers

Hello,

The answer should be "5/8".

Reason:

My teacher taught me that the fractions with the smaller numbers is the greater number than the fraction with bigger numbers therefore your answer is 5/8!

2/8 < 5/8

Therefore its greater topping.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

5/8ths because it is larger number and if you change it into a a decimal then they would be 2/8 = 0.25
5/8 = 0.625
between these two numbers 0.625 is the largest and hence 5/8 covers more toppings than 2/8 does.

I love cheese pizza

The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?
A)
1/8 ml

B)
1/2 ml

C)
7/29 ml

D)
1/4 ml

Answers

There would be 1/2 mL in each beaker.

We start by adding the amounts given by the line plot:
1/4 + 1/4 + 3/8 + 3/8 + 1/2 + 1/2 + 5/8 + 3/4 + 7/8

Find a common denominator. The smallest thing that 2, 4 and 8 will all evenly divide into is 8:

2/8 + 2/8 + 3/8 + 3/8 + 4/8 + 4/8 + 5/8 + 6/8 + 7/8

Add the numerators:
36/8

Now we divide this by 9:
36/8 ÷ 9 = 36/8 ÷ 9/1 = 36/8 × 1/9 = 36/72 = 1/2

the standard addition algorithm below is being used to add three two-digit numbers 4z + 27 + x 5 equals y 14. If x, y, and z each represent a different digit from 0 to 9 what is the value of (x)(y)(z)?

Answers

For the units positions of all numbers we have:
[tex]z+7+5=4 \\ z+12=4[/tex]
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
[tex]z+12=14 \\ z=2[/tex]

For the tens positions of all numbers we have:
[tex]4+2+x+1=1 \\ 7+x=1[/tex]
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
[tex]7+x=11 \\ x=4[/tex]

Now we insert x and z to find out y:
[tex]42+27+45=y14 \\ 114=y14 \\ y=1[/tex]

Now we need to find out the product of these three numbers:
[tex]x*y*z=4*1*2=8[/tex]

Mike used a rectangular prism and two cubes to create a model bench for his class project as shown below.

What is the surface area of the model bench?

A. 850 sq in
B. 800 sq in
C. 750 sq in
D. 700 sq in

Answers

surface area = 2(wl + hl + hw)

top section 2(5*25 + 5*25 + 5*5) = 550

lower part = 2(5*5 + 5*5 + 5*5) = 150

150 + 150 + 550 = 850

answer is A

Javier buys 12 bagels for $2.50. At this rate how many bagels could Javier buy for $6.25?

A. 18
B. 30
C. 31
D. 48

Answers

He can buy 30 bagels.
2.50/12=0.21
Each is about $.21.
6.25/.21=29.9=30

That means Javier can buy 30 bagels.

Hope this helped☺☺

the answer could possible be c

CAN I GET SOME HELP (RIGHT ANSWER)

Answers

it can be found using the formula 1/2 |major arc - minor arc|

1/2 |105 - 23|
1/2 |82|
41

105-23= 82
82/2= 41
An easier way :)

One kilometer equals 0.62 miles. How many kilometers equal 16 miles? Round the answer to the nearest tenth. 2.6 kilometers
9.9 kilometers
25.8 kilometers
99.2 kilometers

Answers

25.8 kilometers that is the answer to your question

Answer: 25.8 kilometers

Step-by-step explanation:

Given: One kilometer = 0.62 miles

Then, [tex]1\text{ mile}=\dfrac{1}{0.62}\text{ kilometers}[/tex]

Then to find the number of kilometers in 16 miles, we need to multiply 16 to [tex]\dfrac{1}{0.62}[/tex], we get

[tex]\text{ 16 miles =}16\times\dfrac{1}{0.62}=25.806451612\approx25.8\text{ kilometers}[/tex]

Hence, 25.8 kilometers equals to 16 miles.

Ewan makes chess boards from wood. Each board has three different kinds of wood. He has five kinds of wood it is workshop maple, cherry walnut, Poplar and birch how many different types of chess board can he make?

Answers

He can make 10 different types of boards.

This is a combination of 5 objects chosen 3 at a time:

[tex]_nC_r=\frac{n!}{r!(n-r)!} \\ \\_5C_3=\frac{5!}{3!2!}=\frac{120}{12}=10[/tex]

Answer:

D.10

Step-by-step explanation:

For the data in the table, does y vary directly with x? If it does write an equation for the direct variation. x 2 6 10 y 5 15 25

Answers

The data does show direct variation (otherwise known as direct proportionality);
2 + 4 = 6 5 + 10 = 5
6 + 4 = 10 15 + 10 = 25
The proof is that everytime we increase x by a number (in this case 4), y also increases by some number (in this case 10);
So increasing x by 4, we increase y by 10;
The equation of data that shows direct proportionality is that of a line;
The gradient (represented by m) of the line is going to be how much y changes when we change x;
Using the information above, we can deduce the gradient (m) like so:
m = +10/+4
= 5/2
Now, we use the formula for the equation of the line:
y - y₁ = m(x - x₁)
y - 5 = 5/2(x - 2)
2(y - 5) = 5(x - 2)
2y - 10 = 5x - 10
2y = 5x
y = 5x/2

Three cards are drawn from a deck without replacement. what is the probability that all three cards are clubs?

Answers

b.0.0129 is the answer

cody has $700 in a savings account that pays 4% simple interest how much will he have in one year

Answers

28$$$$$$$$$$$$$$$$$$$$

700(1.04)= $728 the 700 dollars is multiplied by 1.04 to get 728

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Today's demand curve for gasoline could shift in response to a change in Drew is a salesperson who is almost always successful during the initial sales dialogue. prospects usually respond to all of the questions that drew asks, but he is rarely successful at closing the sale and getting a commitment from them. drew's failure is most likely due to:a. not recognizing that the prospects are busy individuals.b. not seeking a commitment at the right time.c. not knowing the prospect's emotional buying motives.d. not having an appropriate sales call objective.e. his fear of rejection from the prospects. Compare and contrast the movement of electric charge in a solution with the transfer of electric charge between solid objects. The sum of four consecutive integers is -22 Which of the following is a possible application for discoveries made during ocean exploration? As a wind turbine spins it generate electricity energy that can be stored for later use in a ____ Tamara says that raising the number i to any integer power results in either -1 or 1 as the result, since i^2 = -1. Do you agreed or disagree with Tamera? Explain How does the state judiciary carry out its responsibilities? A. by enforcing laws passed by the state legislature B. by establishing overlapping levels of state and local courts C. by preventing federal interference in state matters D. by upholding the positions of state and local executive officials Based on your knowledge of root words, what does -mand- mean? (5 points) Thought Write Light Order The pronouns we, their, yourselves, and them are all A.plural. B.singular. C.first-person. D.third-person. The probability that a bakery has demand for 2 3 4 or 5 birthday cakes on any given day are 0.32, 0.24, 0.25 and 0.19 respectively. construct a probability distribution for this data Which term BEST applies to president richard nixons foreign policy of improving relations with the soviet union? (SELECT ALL THAT APPLY) WILL REPORTSelect the items that were part of the Missouri Compromise. A.Texas was admitted as a slave state.B Missouri was admitted as a slave state. Maine was admitted as a free state. C.The slave trade was abolished in the north.D. The tariff compromise of 1833 was passed.E. No slavery was allowed north of 36 30'. VERY EASY! HELP ME RIGHT NOW! DUE TOMORROW To make money, one must work.Para ganar dinero, ___________ trabajar.fill in blank What is the sum of 2 numbers is 100 and their difference is 6? what mechanical layer lies below the lithosphere Can someone check my answers?1. Simplify the sum or difference. sqrt 5 + 6 sqrt 5A) 6 sqrt 5B) 30C) 6 sqrt 10D) 7 sqrt 52. Simplify the sum or difference.4 sqrt 2 - 7 sqrt 2A) negative sqrt 6B) -3 sqrt 2C) -11 sqrt 2D) 11 sqrt 23. Simplify the sum or difference.3 sqrt 7 - sqrt 63A) -2 sqrt 7B) -6 sqrt 7C) -4 sqrt 3D) 04. Simplify the sum or difference.-6 sqrt 10 + 5 sqrt 90A) 9 sqrt 10B) -9 sqrt 10C) -39 sqrt 10D) -105. Simplify the product.sqrt 6 (sqrt 2 + sqrt 3)A) sqrt 8 + 3B) sqrt 30C) 2 sqrt 3 + 3 sqrt 2D) 4 sqrt 2 + 3 7 cakes cost 5.60 , what would be the cost of:10 cakes5 cakes12 cakes A ________ is a small, lightweight, power-conserving, computing device that is capable of wireless access.