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kirill115 [55]
3 years ago
7

Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343

Mathematics
1 answer:
Zigmanuir [339]3 years ago
4 0
Its 0.343 because it cannot be expressed as a fraction or whole number
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G(x)=3x+3<br> h(x)=-4x+<br> (g+h)(10)
lisabon 2012 [21]

Answer: (10x + 30)

Step-by-step explanation:

1. combine like terms. -4x + 3x = -x

2. you can’t have a negative x, so you would multiply the equation (-x+3) by -1, to get (x-3).

3. (x-3)(10)... 10 • x = 10x, 10 • 3 = 30.

4. put them together, answer would be 10x + 30.

4 0
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
oee [108]

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

_____

<em>Account value calculation</em>

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

_____

<em>Comment on account value</em>

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.

7 0
3 years ago
3y - 5z = -23
leonid [27]
Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
8 0
3 years ago
Dianne is ordering a ice cream dessert
Talja [164]

Answer:

mint chocalte chip

Step-by-step explanation:

it is a really good flavor

6 0
3 years ago
Read 2 more answers
Solve each system of equations.<br><br> 4x + 6y = 8<br> 5x – 4y = 25
Lubov Fominskaja [6]
\left \{ {{4x+6y=8} \atop {5x-4y=25}} \right. \\ \left \{ {{4x+6y=8} \atop {5x=25+4y}} \right.\\ \left \{ {{4x+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{4(5+0.8y)+6y=8} \atop {x=5+0.8y }} \right. \\  \left \{ {{20+3.2y+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{9.2y=-12} \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -\frac{12}{9.2} } \atop {x=5+0.8y }} \right. \\  \left \{ {{y= -\frac{120}{92} } \atop {x=5+0.8(-\frac{12}{9.2}) }} \right. \\
\left \{ {{y= -1\frac{28}{92} } \atop {x=5-\frac{96}{92} }} \right. \\  \left \{ {{y= -1\frac{7}{23} } \atop {x=5-1\frac{1}{23} }} \right. \\   \left \{ {{y= -1\frac{7}{23} } \atop {x=4\frac{1}{23} }} \right. \\
\boxed{(x; y)=(4\frac{1}{23}; -1\frac{7}{23}) }





8 0
3 years ago
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