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4 years ago

A point is refected across the x-axis. The new point is (5,-3.5).What is the distance between the two points?

1 answer:

5 0

When a point is reflected across the x-axis, it's y value is flipped. Here is a formula for your future reference:

X-axis reflection: (x,-y)

Using your given coordinates, you simply plug the numbers in, resulting in final coordinates of (5,3.5).

Because the problem asks for the distance between the two points, you now have to find the difference between -3.5 and 3.5, which is 7.

There you go; the distance between the points is 7 units.

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What is 2/5 divide by 3/4

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Answer:

8/15

Step-by-step explanation:

(2/5)/(3/4)=(2/5)(4/3)=8/15

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3 years ago

Read 2 more answers

Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models hi

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starting amount in his savings account

Step-by-step explanation:

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3 years ago

Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl

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Answer:

b. $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after 8 years will be $16,287.57. In that time, she will have deposited ...

$300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

$16,287.57 -14,700 = $1,587.57 . . . interest earned

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Account value calculation

The future value of the initial $300 deposit after 8 years is ...

A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

$364.89 +15,922.68 = $16,287.57

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Comment on account value

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

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3 years ago

Which statement is true about the equations –3x + 4y = 12 and 1/4x –1/3 y = 1?The system of the equations has exactly one soluti

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Answer:

The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation:

The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.

$\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12$

This means the equations are parallel and will never cross. There is no solution.

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3 years ago

The rent for an apartment is represented by R(a) = 2.00a + 50.00, where a is the area of the apartment in square feet. The rent

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Answer:

The correct option is: D) S(a) = 2.00a + 100.00; shift 50 units up

Step-by-step explanation:

The rent for an apartment is represented by $R(a) = 2.00a + 50.00$

Now, the rent increases by $50.00 when the apartment is furnished. So, the rent of a furnished apartment will be: $(2.00a+50.00+50.00) = (2.00a+100.00) dollar$

Thus the new function will be: $S(a)= 2.00a+100.00$

As the output of the original function is increased by 50.00, so the graph of the original function will shift 50 units upward.

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3 years ago