Posted in Mathematics

$12,000 * 0.30 = $3,600 ( a trade discount )
$12,000 – $3,600 = $8,400
With a cash discount:
$8,400 * 0.98 = $8,232
Including the freight:
$8,232 + $150= $8,382
Answer:
The delivered price is $8,382. 


Related Questions

Posted in Mathematics

One estimate of the population of the world on January 1, 2005, is 6,486,915,022. The population is estimated to be increasing at the rate of 1.4 percent per year. At this rate, what will the population of the world be on January 1, 2024? Round your answer to the nearest whole number. …?

The answer is 8,465,424,104.

We will use the formula:
A = P * eⁿˣ
where:
A – the final value
P – the initial value
e – the mathematical constant (e ≈ 2.72)
n – the growth rate
x – the time

We have:
A = ?
P = 6,486,915,022
n = 1.4% = 1.4/100 = 0.014
x = 2024 – 2005 = 19

Hence:
A=6,486,915,022* e^{0.014*19}  \ 
A=6,486,915,022* e^{0.266}   \ 
A=6,486,915,022* 1.305 \  
A = 8,465,424,104


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Posted in Mathematics

Which of the following represents the set of possible rational roots for the polynomial shown below? x^3+5x^2-8x-20=0 A.{1/2, 1,2, 5/2, 4, 5, 10, 20} B. {+/-1, +/-2, +/-4, +/-5, +/-10} C. {+/-1/2, +/-1, +/-2, +/-5/2, +/-4, +/-5, +/-10, +/-20} D. {+/-2/5, +/-1/2, +/-1, +/-2, +/-2/5, +/-1/5, +/-1/10} …?

You need to work out the variables of 20 (the last number) first: 
1, 2, 4, 5, 10, 20 
Lets call these folks “p” 
At that point you need to work out the components of the main coefficient (the number before the most astounding force of x): 

Lets call this person “q” 
At that point you need to make all the conceivable divisions you can with: 
±p/q 
Since q is only 1, we are fortunate, so the conceivable normal roots are: 
±1/1,±2/1,±4/1,±5/1.±10/1,±20/1

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Posted in Mathematics

If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals. A. $6,356.25 B. $11,821.07 C. $5,024 D. $6,312.38 …?

Answer:

Option D – $6312.38

Step-by-step explanation:

Given : If you were to place $5,000 in a savings account that pays 6% interest compounded continuously.

To find : How much money will you have after 4 years?

Solution :

Using compound interest formula,

A=P(1+r)^t

Where A is the amount,

P is the principle P=$5000  

r is the rate r=6%=0.06

t is the time t= 4 years

Substitute the value,

A=P(1+r)^t

A=(5000)(1+0.06)^4

A=(5000)(1.06)^4

A=5000times 1.262

A=6312.38

The money he have after 4 years is $6312.38

Therefore, Option D is correct.

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