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3 years ago

Please help and answer

Mathematics

1 answer:

MArishka [77]3 years ago

5 0

Answer:

B) 4(6x) and 24x are equivalent.

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Christina is building a slide for her kids. The ladder is 4 feet tall and the slide is 9 feet long. What is the distance between

xxMikexx [17]

Answer: 8.1ft

Step-by-step explanation:

It may help to draw it out but for this question you would have to use pythagoras' theorem.

The formula for the shorter side is a²=c²-b²

The height of this triangle is 4ft (b) and the hypotenuse (the diagonal that stretches from the top to the bottom) is 9ft (c).

When we put the numbers in the formula you get a²=9²-4²

9²=81

4²=16

a²=81-16

a²=65

Then because we want to find a on it's own you would have to square root 65 which is 8.1 (to the nearest tenth)

7 0

3 years ago

The profit p ( in hundreds of dollars ) that a company makes depends on the expenditure x ( in hundreds of dollars ) that the co

aliina [53]

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x = 20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

8 0

4 years ago

Hey I’m doing a project but I don’t get it at all but overall we’re doing a project about buying a home the estimate price of my

astraxan [27]

Answer:

$14,500

Step-by-step explanation:

There is a lot of information that is extraneous to answering this question (although it may be useful for answering later questions, as it looks like this is a multi-part question).

This question simply requests "Calculate the down-payment for the 30-year fixed mortgage."

So, we're focusing on the down-payment on the 30-year mortgage.

The paragraph immediately above the question states "Suppose you decide to make a down-payment of 5% of the purchase price for the 30-year fixed mortgage..." ... there's other information, but it's about mortgages that aren't 30-year mortgages, so we can safely ignore it.

The first paragraph in the picture shows information about a standard down payment (20%), and what happens if you decide to choose a down-payment that is less than standard (that's us... we chose 5% ... so let's pay attention closely here).

The information states that "...lenders charge extra... PMI that is added to the monthly payment." Note, that extra charge (PMI) is added to the monthly payment, not the down-payment. So, this information about PMI doesn't apply to the question in part (a).

So, for this question, the down payment is simply 5% of the purchase price.

Percentages can be interpreted as the # of parts out of 100, so in this case 5 out of 100, which is just another way of saying $\frac{5}{100}$ . Fractions, in turn, can be turned into decimal numbers simply by dividing the two, which gives 0.05. Many people interpret this simply as moving the decimal place on the percentage two digits to the left. In short, 5% = 0.05.

To find 5% of the purchase price, we simply multiply it to the purchase price, but we choose a form that is more conducive to doing the arithmetic, so either the fraction 5/100, or the decimal 0.05 (usually the decimal).

Given a purchase price of $290,000, 5% of $290,000 is

$0.05*\$290,000=\$14,500$