MATHEMATICS HIGH SCHOOL

Write the equivalent expression to (5x - 3x^2) - (5x -2)

Answers

Answer 1

Answer:

Answer:

-3x^2+2

Step-by-step explanation:

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

Distribute the minus signs

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

Combine like terms

-3x^2 +5x-5x+2

-3x^2+2

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An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months. Money is 9% compounded monthly. Which is lower, the cash price or the present value of the installment terms? Explain.

Answers

The cash price would be lower. A further explanation is below.

According to the question,

Interest rate per month,

$r = (9 \ percent)/(12)$

$= 0.75$ (%)

hence,

The Present value of the monthly payment will be:

= $PMT* \frac{{(1 + Interest \ rate)^(number \ of \ years) - 1}}{Interest \ rate}$

= $1499* ([(1 + 0.75 \ percent)^(12) - 1] )/(0.75 \ percent)$

= $18748.89$

As we can see that the cash price is 15,999. Thus the above answer is right.

Learn more:

brainly.com/question/4187682

Answer:

Cash price

Step-by-step explanation:

The computation is shown below:

The Interest rate per month (r) = (9% ÷ 12) = 0.75%

Now Present value of the monthly payment is

= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}

= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}

= 18,748.89

And the cash price is 15,999

So, the cash price would be lower

4 5/6 divided by 7/8

Answers

Answer: 5 11/21

Step-by-step explanation:

the answer to 4 5/6 divided by 7/8 is 5 11/21

Zachary purchased a computer for $1,900 on a payment plan. Two months after he purchased the computer, his balance was $900. What is an equation that models the balance y after x months

Answers

Answer:

$y=-450x+1900$

Step-by-step explanation:

According to the problem, the payment plan is $1,900, so automatically our balance is $1,900. We are then told after two months, his balance was $900:

$1900=900(2)$

To achieve the equation the problem is asking for we have to find how much Zachary would possibly be paying for one month. Divide the $900 into two months:

$(900)/(2)$

$=(450)/(1)$

Zachary pays $450$ a month, and we have to remember this is being subtracted from the initial balance. We can represent this as:

$y=mx+b$

$y=-450x+1900$

A salesman sells cars with prices ranging from $5,000 to $45,000. the histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. how would the shape of the distribution change if the salesman decides to also deal in cars priced under $5,000 and in cars $45,000 to $50,000 and projects sales of 200 cars in each category?

a. the distribution will exhibit symmetry.

b. the distribution will exhibit a positive skew.

c. the distribution will exhibit a negative skew.

d. the distribution will uniform throughout.

Answers

In the given histogram, the shape of the histogram shows that the shape of the distribution exhibits symmetry (i.e. the shorter bars are to the left and to the right while the longer bars are in the middle). Adding the sales of cars priced under $5,000 and cars priced $45,000 to $50,000 with projected sales of 200 cars for each category will result in adding bars of the same size as the shortest bar to both ends of the histogram. This will not affect the initial shape of the distribution in the histogram as the distribution will still exhibit symmetry. Therefore, the correct answer to the question is "the distribution will exhibit symmetry" (option a).

X^4 - 4x^4 - 6y^3 - 2x^4

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