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Anastaziya [24]
3 years ago
11

What is pie minus 6 plus 50​

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

pie is about 3.14

3.14 - 6 = -2.86

-2.86 + 50 = 47.14

<em><u>47.14</u></em>

Step-by-step explanation:

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A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest
solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2  

Step-by-step explanation:

The formula for simple interest is  

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 %       = 0.04

         Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}

OK.

4 0
4 years ago
Help me please I need it
AnnZ [28]

Answer:

y ≤ -3

closed circle starting from -3 and going to the left.

Step-by-step explanation:

4 0
3 years ago
Just 13 a and b please and thank you
ehidna [41]
A)1.625m and b I can't read
5 0
3 years ago
Which of the following is a correct conversion of 50 kg
wariber [46]

Answer:

c. 50kg = 50,000g

Step-by-step explanation:

We have to solve these following rule of three to see which of the following is a correct conversion of 50kg.

a)

Each kg has 1000g

So

1kg - 1000g

50kg - xg

x = 50*1000

x = 50,000g

Conversion a) is wrong

b)

Each kg has 1000000mg

So

1kg - 1000000g

50kg - x mg

x = 50*1000000

x = 50,000,000 mg

Conversion b) is wrong

c)

In a), we have already converted 50kg to g. We have verified that 50kg = 50,000g. So c. is correct

d)

In b), we have already converrted 50kg to mg. We have verified that 50kg = 50,000,000g. So d. is wrong

4 0
3 years ago
Factor the polynomial, x2 + 5x + 6
patriot [66]

Answer:

Choice b.

x^{2} + 5\, x + 6 = (x + 3)\, (x + 2).

Step-by-step explanation:

The highest power of the variable x in this polynomial is 2. In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 0.)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to 0. The discriminant of this polynomial is (5^{2} - 4 \times 1 \times 6) = 1.

\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}.

Similarly:

\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}.

By the Factor Theorem, if x = x_{0} is a root of a polynomial, then (x - x_0) would be a factor of that polynomial. Note the minus sign between x and x_{0}.

  • The root x = -2 corresponds to the factor (x - (-2)), which simplifies to (x + 2).
  • The root x = -3 corresponds to the factor (x - (-3)), which simplifies to (x + 3).

Verify that (x + 2)\, (x + 3) indeed expands to the original polynomial:

\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}.

4 0
3 years ago
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