Melissa, of Melissa's Lawn and Landscaping Service, needs to replace her mowers.She has ordered four new gas mowers, at $499 each, and a negotiated Trade
Discount Rate of 9%, with terms of 2/10 EOM, and FOB Shipping Point. The
seller has agreed to prepay the shipping charge of $80, which is not included in the
invoice amount. The invoice from the manufacturer is dated July 26.
Determine:
A)
By what date does Melissa have to pay in order to be able to take the cash
discount?
B)
What is the payment amount assuming that Melissa pays before the end of
the discount period?

Answers

Answer 1

Answer:

Answer:

A) 10th of August

B) $1780.03

Step-by-step explanation:

A) From the payment terms of 2/10 EOM, Melissa is to receive a 2% discount if she pays within 10 days from the end of the month

From the date on the invoice, July 26, the date at which Melissa has to pay to take the cash discount is before the 10th of August

B) The payment amount will be 2% off the original payment amount

The total cost of the four new gas mowers less the trade discount = 499 × 4 × (100 - 9)/100 =$1816.36

The 2% discount will then be $1816.36 × (100 - 2)/100 = $1780.03

The payment amount assuming Melissa pays before the end of the discount period = $1780.03.

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What is the effective interest rate of an 8% 13-week Treasury bill? Assume it is a $10,000 Treasury bill, and round your answer to the nearest hundredth percent.

Answers

Answer:

The answer is 8.24%.

Step-by-step explanation:

The rate r = 8% is for 1 year or 52 weeks.

As given there are 13 weeks term so total there will be = 4 terms.

So, n = 4

The effective interest rate R is given by:

R = $(1+r/n)^n-1$

= $(1+0.08/4)^4-1$

= $(1.02)^4-1$

= 0.0824

And in percentage, it is 8.24%.

The effective interest rate is $\boxed{8.24\% }$ and the interest is $\boxed{200}.$

Further explanation:

The compound interest rate formula can be expressed as follows,

$\boxed{A = P{{\left( {1 + i}\right)}^n}}$

Here, A represents the amount, P represents the principal amount, i represents the interest rate and n represents the time.

The interest rate in a year is known as the effective interest rate.

The relationship between effective interest rate and nominal interest rate can be expressed as follows,

$\boxed{i = {{\left( {1 + \frac{{{i^n}}}{n}}\right)}^n} - 1}$

Here, i represents the effective interest rate, ${i^n}$ represents the nominal interest rate, n represents the period of interest rate.

Given:

The nominal interest rate is $8\%$ in a 13 week treasury bill.

The amount of Treasury bill is $\$ 10000.$

Explanation:

There are 52 weeks in a year.

The value of n can be calculated as follows,

$\begin{aligned}n&= \frac{{52}}{{13}}\n&= 4\n\end{aligned}$

The effective interest rate can be calculated as follows,

$\begin{aligned}i&= {\left( {1 + \frac{{0.08}}{4}} \right)^4} - 1\n&= {\left( {1.02} \right)^4} - 1\n&= 0.0824\n\end{aligned}$

The interest can be calculated as follows,

$\begin{aligned}{\text{Interest}}&= P* i * t\n&= 10000* 0.08 * \frac{{13}}{{52}}\n&= 200\n\end{aligned}$

The effective interest rate is $\boxed{8.24\% }$ and the interest is $\boxed{200}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Compound interest

Keywords: Principal, invested, interest rate, account, effective interest rate, total interest, 8\% Treasury bill, nearest hundredth percent, amount.

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?0 to radians to π radiansπ to radians to π radians

Answers

The measure of the central angle is within 0 to π radians.

Equation

An equation is an expression that shows the relationship between two or more variables and numbers.

Angle in radian = angle in degrees * π / 180

Given that the angle = 85°, hence:

Angle in radian = 85 * (π/180) = 0.472π rad

The measure of the central angle is within 0 to π radians.

Find out more on Equation at: brainly.com/question/13763238

Answer:

the answer to this is A

Step-by-step explanation:

Write the point-slope form of the equation of the line that passes through (3, -3) and is perpendicular to y = 13x.

Answers

Answer:

y=-1/13x-36/13

Step-by-step explanation:

Which two integers is 3
12 between?

Answers

To determine which two integers 3 is between, we need to find the closest integers that are smaller and larger than 3.

1. Find the largest integer that is smaller than 3:

- The largest integer smaller than 3 is 2.

2. Find the smallest integer that is larger than 3:

- The smallest integer larger than 3 is 4.

Therefore, 3 is between the integers 2 and 4.

I hope this explanation clarifies the integers that 3 is between. Let me know if you have any further questions.

Find the x and y-intercepts of the equation 6x-2y+12=0

Answers

6x - 2y + 12 = 0
6x - 2y = -12
x = 0, -2
y = -6, 0 is what i got :)

Which type of triangle is formed with the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices?

Answers

We will have to use the distance formula in order to determine the lengths of each side of the triangle.

Distance formula: $\sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2) }$

Let's calculate AB first:
A (1, 7) and B (-2, 2)
A: x1 = 1 and y1 = 7
B: x2 = -2 and y2 = 2

so
$\sqrt{(-2 - 1)^(2) + (2 - 7)^(2) }$
$\sqrt{(-3)^(2) + (-5)^(2) }$
$√(9 + 25 )$
AB = $√(34)$ or (rounded to the nearest tenth) ≈ 5.8

Now let's do BC:
B: x1 = -2 and y1 = 2
C: x2 = 4 and y2 = 2

So
$\sqrt{(4 - -2)^(2) + (2 - 2)^(2) }$
$\sqrt{(6)^(2) + (0)^(2) }$
BC = $√(36 )$ or 6

Now let's do CA
C: x1 = 4 and y1 = 2
A: x2 = 1 and y2 = 7

So
$\sqrt{(1 - 4)^(2) + (7 - 2)^(2) }$
$\sqrt{(-3)^(2) + (5)^(2) }$
$√(9 + 25)$
CA = $√(34)$ or (rounded to the nearest tenth) ≈ 5.8

So let's recap:

AB ≈ 5.8
BC = 6
CA ≈ 5.8

So AB and AC are the same length while BC is .2 units longer which means this is an isosceles triangle.

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