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harina [27]
3 years ago
12

Nell makes $11.78 per hour. If she works 40 hours a week and about 4 weeks per month, what is the maximum monthly rent that she

can afford to pay? $527.74 $474.97 $422.19 $417.85
Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

She earns about $1884.8 per amount. She can afford to pay rent at that rate. But the option A is the largest amount so she will definitely pay that rent comfortably. Her earning is so big that she can afford to pay the amount of the largest option.

Step-by-step explanation:

Nell makes $11. 78 per hour . she works 40 hours a week and about 4 weeks per month. The maximum monthly rent she can afford can be calculated below.

For 1 hour she earns $11.78 .

40 hours she will earn ? amount in dollars

cross multiply

Her earning in 1 week or 40 hours = 40 × 11.78

Her earning in 1 week or 40 hours = 471.20

Her earning in 1 month = 471.20 × 4  

Her earning in 1 month = $1884.8

She earns about $1884.8 per amount. She can afford to pay rent at that rate. But the option A is the largest amount so she will definitely pay that rent comfortably. Her earning is so big that she can afford to pay the amount of the largest option.

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What is the sign of 3x y3xy3, x, y when x>0x>0x, is greater than, 0 and y<0y<0y, is less than, 0?
jekas [21]

Answer:

Negative

Step-by-step explanation:

We\ have\ to\ find\ sign\ of\ 3xy^3\\\\x>0\ and\ y0,y

4 0
3 years ago
Read 2 more answers
Based on the model ​N(11541154​,8686​) describing steer​ weights, what are the cutoff values for ​a) the highest​ 10% of the​ we
yaroslaw [1]

Answer:

a) x = 1225.68

b) x = 1081.76

c)  1109.28 < x < 1198.72

Step-by-step explanation:

Given:

- Th random variable X for steer weight follows a normal distribution:

                                    X~ N( 1154 , 86 )

Find:

a) the highest​ 10% of the​ weights? ​

b) the lowest​ 20% of the​ weights? ​

c) the middle​ 40% of the​ weights? ​

Solution:

a)

We will compute the corresponding Z-value for highest cut off 10%:

                                   Z @ 0.10 = 1.28

                                    Z = (x-u) / sd

Where,

u: Mean of the distribution.

s.d: Standard deviation of the distribution.

                                   1.28 = (x - 1154) / 86

                                      x = 1.28*86 + 1154

                                      x = 1225.68

b)

We will compute the corresponding Z-value for lowest cut off 20%:

                                   -Z @ 0.20 = -0.84

                                    Z = (x-u) / sd

                                   -0.84 = (x - 1154) / 86

                                      x = -0.84*86 + 1154

                                      x = 1081.76

c)

We will compute the corresponding Z-value for middle cut off 40%:

                                    Z @ 0.3 = -0.52

                                    Z @ 0.7 = 0.52

                                    [email protected] < x < [email protected]

                       -.52*86 + 1154 < x < 0.52*86 + 1154

                                  1109.28 < x < 1198.72

7 0
3 years ago
Using addition formula solve tan 15​
salantis [7]

Answer:

2 - \sqrt{3}

Step-by-step explanation:

Using the addition formula for tangent

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tan45° = 1 , tan60° = \sqrt{3} , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= \frac{tan60-tan45}{1+tan60tan45}

= \frac{\sqrt{3}-1 }{1+\sqrt{3} }

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + \sqrt{3} is 1 - \sqrt{3}

= \frac{(\sqrt{3}-1)(1-\sqrt{3})  }{(1+\sqrt{3})(1-\sqrt{3})  } ← expand numerator/denominator using FOIL

= \frac{\sqrt{3}-3-1+\sqrt{3}  }{1-3}

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= \frac{-4}{-2} + \frac{2\sqrt{3} }{-2}

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3 0
2 years ago
If $-2 &lt; x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.
kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

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-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

3 0
3 years ago
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Levart [38]

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\mathrm {Volume = 3.14 \times (\frac{4}{2})^{2} \times 3}

\mathrm {Volume = 3.14 \times 12}

\mathrm {Volume = 37.68cm^{3}}

\textrm {Rectangular prism volume :}

\mathrm {Volume = length \times width \times height}

\mathrm {Volume = 6 \times 5 \times 7}

\mathrm {Volume = 30 \times 7}

\mathrm {Volume = 210cm^{3}}

\textrm {Total volume of composite figure :}

\textrm {Volume of cylinder + volume of rectangular prism}

\mathrm {37.68 + 210}

\mathrm {247.68cm^{3}}

4 0
1 year ago
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