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2 years ago

1. Ted found out that the rebate is not given until after he has

Mathematics

1 answer:

nadezda [96]2 years ago

7 0

9514 1404 393

Answer:

maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

Taxable amount: $20,000 -2,000 = $18,000.

Price with tax: $18,000 × 1.10 = $19,800

Amount financed: $19,800.

2) The rebate is given after the sale is complete.

Taxable amount: $20,000

Price with tax: $20,000 × 1.10 = $22,000

Amount financed: $22,000

Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

If the loan is for 5 years at 3%, the payments and total costs are ...

Scenario 1: Monthly payment $355.78;

total cost of loan: 60×355.78 = 21,346.80

Scenario 2: Monthly payment $395.31;

total cost of loan: 55×395.31 = $21,742.05 (note there are fewer payments because of the initial payment to principal of $2000)

Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.

_____

We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then there may be no difference in total cost, or the delayed rebate may result in a lower total cost due to the higher monthly payment.

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Sign numbers, ratios & Proportion (+10) + (+6) = ?

Viefleur [7K]

Answer:

Step-by-step explanation:

Putting a + in front of a number indicates that the number is positive. so we are just going to add it up.

10+6=16

10:6=5:3

Hope it helps:)

7 0

3 years ago

Read 2 more answers

G(x)=3x^2-5x-9 find g(x+2)

Anna35 [415]

Answer: 3x^2 + 7x -15
I dunno if u want me to factor it tho

7 0

3 years ago

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

Statement 1: "The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

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Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

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Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."

$Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\$

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Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$