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4 years ago

What is the mean and median of this data set

Mathematics

1 answer:

Phantasy [73]4 years ago

4 0

Looks like you asked the same question as the previous one, the mean is 242.833333 and if you round it to the nearest hundredths it is 242.8. The median is 265.

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A series of quarterly payments of P1,300 each at the first payment is due at 4 years, and the last payment at the end of 12 year

gtnhenbr [62]

Answer:

The Value of Payments is P18,557.15

Step-by-step explanation:

The quarterly payment is an annuity payment.

Use the following formula to calculate the present value of the payments.

PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates

Where

Annuity Payment = Quarterly payment = P1,300

Interest rate = 5.12% x 3/12 = 1.375%

Numbers of periods = 4 years x 12/3 = 16 quarters

PV of Annuity = Value of Payments = ?

Placing values in the formula

Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%

Value of Payments = P18,557.15

4 0

3 years ago

Let x^2+15x=49

Slav-nsk [51]

<span>x^2 + 15x + 56.25 = 105.25

"Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
x^2 + 15x + 56.25 = 49 + 56.25
Which is
x^2 + 15x + 56.25 = 105.25
Which is the answer desired.

Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
(x+7.5)^2 = 105.25

Now take the square root of each side
(x+7.5) = sqrt(105.25)

And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
and
x+7.5 = -10.25914226

And let's find X.
x+7.5 = 10.25914226
x = 2.759142264

x+7.5 = -10.25914226
x = -17.75914226

So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>

3 0

3 years ago

Read 2 more answers

Find the distance between the two points in simplest radical form. (-5,8) (-8,6)

Tanzania [10]

Answer:

$\sqrt{445}$ cannot be reduced any further, so that's the answer.

Step-by-step explanation:

Use the distance formula:

$\sqrt{(x2-x1)^{2} +(y2-y1)^{2}} \\\\\sqrt{(-8-10)^{2}+(6--5)^{2}}\\\\\sqrt{(-18)^{2}+(11)^{2}}\\\\\sqrt{(324)+(121)}\\\\= \sqrt{445}\\$

5 0

3 years ago

Read 2 more answers

Round all the way 2689

Ratling [72]

2689

rounded to the nearest tens = 2690
rounded to the nearest hundreds = 2700
rounded to the nearest thousands = 3000

If the number before the place it needs to be round off is 5 and above, then it is rounded up. If the number is 4 and below, it is rounded down.

For example:
2444

rounded to the nearest tens = 2440
rounded to the nearest hundreds = 2400
rounded to the nearest thousands = 2000

4 0

3 years ago

How do I get 37 is what percent of 98

artcher [175]

Percentage Calculator: 37 is what percent of 98? = 37.76.

7 0

3 years ago

Read 2 more answers