I need help with the following questions. Help would be very much appreciated! :D

Answer:

D. $10,909.09

Step-by-step explanation:

The class recovery period for residential rental property each year = 27.5 years

The cost basis for the residential property = $300,000

The amount he will be able to depreciate

= Cost basis/ Number of years

= $300000/ 27.5 years

=$10, 909.090909

Approximately ≈ $10,909.09

The amount he will be able to depreciate  using the class recovery period for residential rental property each year is: D. $10,909.09.

Using this formula

Depreciation=Rental unit amount/ MACRS residential rental property recovery period

Where:

Rental unit amount=$300,000

MACRS Residential rental property recovery period=27.5 years

Let plug in the formula

Depreciation=$300,000/27.5

Depreciation=$10,909.09

Inconclusion the amount he will be able to depreciate  using the class recovery period for residential rental property each year is: D. $10,909.09.

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Answer:

13 weeks

Step-by-step explanation:

V = -15 x + 200 x 213.33 weeks 6 = -15x + 200 after 13 weeks.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

The number of weeks Micah needs to spend so that her birthday money of $200 will be gone is 13 weeks.

Given,

Micah was given $200 for his birthday.

Each week he spends $15 on comic books.

We need to find in how many weeks will his birthday money be gone.

We need to make sure we get the required value on the left side.

If 1 week = 7 days

Find how many days in 2 weeks

2 weeks = ​2 x 7 days = 14 days

We have  2 weeks on the left side.

If 2 items = $5

5/2 x 2 items = 5/2 x $5

5 items = $25/2 = $12.5

Find the total amount Micah has.

= $200

Find the amount spend each week.

= $15

Find how many weeks she must spend to spend $200.

We have,

$15 = 1 week

Multiply 200/15 on both sides.

200/15 x $15 = 200/15 x 1 week

$200 = 13.33 weeks

This means 13 weeks.

Thus the number of weeks Micah needs to spend so that her birthday money of $200 will be gone is 13 weeks.

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Answer:

x is greater than 4

Step-by-step explanation:

4x + 5 is greater than 13

you want to find out what x is

4 - 4 x + 5 is greater than 13 - 4 ( whatever you do to one side you have to do to the other)

x + 5 is greater than 9

x + 5 - 5 is greater than 9 - 5

x is greater than 4

Answer:

0.10

Step-by-step explanation:

Average age of Iowa residents = 37 years

Amy believes that the average age in her hometown in Iowa is not equal to this average

Alternative hypothesis : µ ≠ 37

Sample size = 30

t - test statistic = 1.311

The p-value of the test statistic can be obtained using the online p-value calculator :

The p- value obtained using a t-test statistic value of 1.311 and a degree of freedom (df =N-1; 30 - 1 = 29) at a 0.05 significance level = 0.100072 = 0.10 ( nearest hundredth)

Answer:

0.20

Step-by-step explanation:

In order to find the p-value we first need the degrees of freedom because we are running a t-test. The df = n-1 = 30-1 = 29. If Amy is using the alternative hypothesis, µ ≠ 531, this is a two-tailed test. In order to find the p-value, we simply need to find the probability of being as extreme or more extreme as our current test statistic in one-tail and then multiply it by 2. Another way to describe this is it is the tail probability/area. If we go to the df row of 29 and then scan to the right we see 1.311 is in the 0.10 column. So if we multiply this by 2, we find 0.20 or 20% in both of the tails. So the p-value is 0.20.

Answer:

AC

Step-by-step explanation:

First, let's find m∠B and m∠C by solving for x. Since the sum of interior angles in a triangle is 180°, we know that:

60 + 3x - 2 + 2x + 7 = 180

5x + 65 = 180

5x = 115

x = 23° so m∠B = 3(23) - 2 = 67° and m∠C = 2(23) + 7 = 53°. The longest side of a triangle is always opposite to the largest angle of the triangle, and since m∠B is the largest, we know that the side opposite to ∠B is the longest. That side is AC.

In triangle ABC, the longest side is AC, since it is opposite the biggest angle ∠B.

According to the angle sum property of a triangle, the sum of the three interior angles is 180°.

In a triangle, the longest side is on the opposite side of the biggest angle, and the shortest side is on the opposite side of the smallest angle.

We are given the angles of the triangle ABC. We are asked to find the longest side in the triangle ABC.

By the angle sum property of a triangle, we know that,

m∠A + m∠B + m∠C = 180°

or, 60° + (3x - 2)° + (2x + 7)° = 180°

or, 5x + 65° = 180°

or, 5x = 180° - 65° = 115°

or, x = 115/5 = 23.

∴ m∠A = 60°.

m∠B = (3x - 2)° = (3(23) - 2)° = (69-2)° = 67°.

m∠C = (2x + 7)° = (2(23) + 7)° = (46 + 7)° = 53°.

∵ m∠B is the largest angle, the side opposite to it, that is, AC is the longest side of the triangle.

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Complete Question

The  complete question is shown on the first uploaded image  

Answer:

a

  [tex]n(t) = 120 e^{(0.056t)}[/tex]

b

  [tex]n(36) = 901 \ rats[/tex]

c

 [tex]t = 50 \ months[/tex]

Step-by-step explanation:

From the question we are told that

    The  original number of  rats that swim from the wreckage to a deserted island is

   The population on the island grows exponentially according to the model

          [tex]n(t) = n_o e^{rt}[/tex]

     The  number of rats after t =  15 months is  280

So

     [tex]n(15) = 120 e^{15 * r } = 280[/tex]

=>   [tex]120 e^{15 * r } = 280[/tex]

=>   [tex]e^{15r} = 2.33[/tex]

=>  [tex]15r = 0.8459[/tex]

=>   [tex]r = 0.056[/tex]

Therefore the population t months after the arrival of the rats is mathematically represented as

      [tex]n(t) = 120 e^{(0.056t)}[/tex]

Here t is in months

Considering question b

   For  t =  3 years  =  12 * 3 =  36 months

   Then the number of rats that will be present is mathematically represented as

     [tex]n(36) = 120 e^{0.056 * 36 }[/tex]

      [tex]n(36) = 901 \ rats[/tex]

Considering question c

Now  the number of rats considered is  n(t) =  2000

So  

     [tex]n(t) = 2000 = 120e^{0.056t}[/tex]

=>    [tex]2000 = 120e^{0.056t}[/tex]

=>  [tex]16.67 = e^{0.056t}[/tex]

Taking natural log of both sides

=>   [tex]0.056 t = 2.81[/tex]

=>   [tex]t = 50 \ months[/tex]

Answer:

28

Step-by-step explanation:

83 - [59 - (22-18)]

= 83 - [59 - 4]

= 83 - 55

= 28

Answer:

It should take her father four hours to reach her.

Step-by-step explanation:

Since Madison takes an hour to travel 10 miles, by the time she reaches 3 hours, shes at 30 miles. (At this point her father has begun traveling towards her) And since he goes 15 miles per hour, four hours later (for her father), they will both be at the same distance.

(So in 6 hours, Madison goes 60 miles, and in 4 hours her father also goes 60 miles since hes faster)

Please tell me if I did anything wrong!

It will take the time that Madison's dad 8 hours to catch up with her.

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

Let's call the distance from Madison's house to the point where her dad catches up with her "D".

distance Madison traveled = rate × time = 10 mph × 2 hours = 20 miles.

This means that when Madison's dad starts driving, Madison is 20 miles ahead of him.

For Madison's dad, his rate is 15 mph, and the time it takes him to catch up to Madison is "t" hours.

So his distance traveled is:

distance traveled by Madison's dad = 15 mph × t

For Madison, her rate is 10 mph, and she has already traveled for 2 hours. So her distance traveled is:

distance traveled by Madison = 10 mph × (t + 2)

Now, their distances are equal to each other:

15t = 10(t + 2) + 20

Simplifying and solving for "t", we get:

15t = 10t + 40

5t = 40

t = 8

Therefore, it will take Madison's dad 8 hours to catch up with her.

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Answer:

b would be a negative number

Answer:  The sign of b is negative or  -

Step-by-step explanation:

If you multiply two negative numbers you will have a positive number. And if you multiply a positive and negative numbers you will have  a negative answer.

Answer:

D?

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

#9 x=21

#10 a. QP  b. 8  c. 18

Step-by-step explanation:

#9 use the theorem where the ratio between a midline and the base of the triangle is 1:2

as we know the midline and the base is 1:2

this means

2(4x-65)=2x-4

  4x-65=x-2

    3x=63

      x=21

---------------------------------------------------------------

#10

a. RS|| QP (Remember to write the letters accordingly)

b. 8 (As mentioned before of the ratio 1:2)

c. 18

Answer:

1684

Step-by-step explanation:

x ÷ 17 > 99

x > 17 * 99

x > 1683

The least whole number that is greater than 1683 is 1684.

Answer: 1684

Answer:

1683

Step-by-step explanation:

To undo the problem you do 99 times 17 which is 1683. Then you know that 1683 divided by 17 is 99.

Answer:

1/4x + 3

Step-by-step explanation:

The question said one-third(1/3) not one-fourth(1/4).

1/3x + 4 can also be written as x/3 + 4.

Answer:

1/4x + 3

Step-by-step explanation:

expressions does not represent "four more than one-third x"

1/3x + 4 --- No.

x/3 + 4  --- No.

1/4x + 3 --- Yes. it does not represent 4 + 1/3x. you can tell it by +3

Answer: p = 13.9

Step-by-step explanation: 7(p-9) = 34.3 multiply 7 into p and -9

7p - 63 = 34.3  add 63 into both sides

7p = 97.3  divide 7 into both sides.

p = 13.9

This question can be solved in  two ways

the equation given is  7(p-9)=34.3

The first step to take is to divide both sides of the equation by 7

p - 9 = 34.3 / 7

p - 9 = 4.9

The second step is to combine similar terms

p = 4.9 + 9 = 13.9

A second method

the equation given is  7(p-9)=34.3

1. expand the bracket

7p - 63 = 34.3

2. Combine similar terms

7p = 34.3 + 63

7p = 97.3

3. Divide both sides of the equation by 7

p = 13.9

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Answer:

21

Step-by-step explanation:

tcctvucycyccyctctctchu ycuvuvuvy t r y y g g t g

Answer:

[tex]P(\frac{10}{3}, \frac{-2}{3})[/tex]

Step-by-step explanation:

The question is incomplete; However

[tex]A = (-2, -4)[/tex]

[tex]B = (6, 1)[/tex]

Required

Determine coordinates of P

When line segment is divided in ratios, the following formula calculates the coordinates;

[tex]P(x,y) = \{\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}\}[/tex]

In this case;

[tex]m:n = 2:1[/tex]

[tex](x_1,y_1) = (-2, -4)[/tex]

[tex](x_2,y_2) = (6, 1)[/tex]

So, the coordinates of P is calculated as thus

[tex]P(x,y) = \{\frac{2 * 6 + 1 * (-2)}{2+1}, \frac{2 * 1 + 1 * (-4)}{2+1}\}[/tex]

[tex]P(x,y) = \{\frac{12 -2}{3}, \frac{2 -4}{3}\}[/tex]

[tex]P(x,y) = \{\frac{10}{3}, \frac{-2}{3}\}[/tex]

Hence, the coordinates of P is

[tex]P(\frac{10}{3}, \frac{-2}{3})[/tex]

The question is incomplete, the points A and B are:

A = (-2, -4)

B = (6, 1)

We want to find a point P in the segment AB such that the ratio of AP to PB is 2:1

We will find that:

[tex]P = (\frac{2}{3} , \frac{7}{3} )[/tex]

The general formula for two points (x₁, y₁) and (x₂, y₂), the coordinates of a point that separates the segment in a ratio j:k is

[tex]P = (\frac{j*x_1 + k*x_2}{j + k} , \frac{j*y_1 + k*y_2}{j + k})[/tex]

So we only need to use that general formula:

[tex]P = P = (\frac{2*(-2) + 1*6}{3} , \frac{2*(-4) + 1*1}{3})\\\\P = (\frac{2}{3} , \frac{7}{3} )[/tex]

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Answer:

y = x - 1

Step-by-step explanation:

Answer:

the percent decrease is approximately 47 %

Step-by-step explanation:

Since the quantity started at 170 and then changed to 90, there was clearly a decrease in its value.

We use the following formula to calculate the percent of decrease:

[tex]\%\,decrease = \frac{original-final}{original} \,100\\\%\,decrease = \frac{170-90}{170} \,100\\\%\,decrease = \frac{80}{170} \,100\\\%\,decrease \approx 47\,\%[/tex]

Answer:

p = [tex]\frac{35}{13}[/tex] and q = [tex]\frac{6}{13}[/tex]

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the elimination method

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

 -   [6p + 4q = 18]    

            -13q = -6      -----------------(v)

(c) Next, make q subject of the formula in equation (v)

      q = [tex]\frac{6}{13}[/tex]

(d)  Now substitute the value of q = [tex]\frac{6}{13}[/tex] into equation (i) as follows;

     2p - 3([tex]\frac{6}{13}[/tex]) = 4

(e)  Now, solve for p in d above

Multiply through by 13;

26p - 18 = 52

Collect like terms

26p = 52 + 18

26p = 70

Divide both sides by 2

13p = 35

p = [tex]\frac{35}{13}[/tex]

Therefore, p = [tex]\frac{35}{13}[/tex] and q = [tex]\frac{6}{13}[/tex]

Step-by-step explanation:

Hey, there!!

Let's solve it simply,

angle ONP = 60°+55° { as exterior angle is equal to the sum of opposite interior angle}.

Therefore, angle ONP = 115°.

Now, let's solve for x,

x+ 115°=180° { because the sum of co-interior angle is 180°}.

x= 180°-115°

Therefore, the measure of angle x is 65°.

Hope it helps...

Answer:

[tex]\Huge \boxed{{x=65\° }}[/tex]

Step-by-step explanation:

l and m are parralel lines.

The third angle in the triangle is also x, because of corresponding angles.

Angles in a triangle add up to 180 degrees.

Create an equation and solve for x.

x + 60 + 55 = 180

Add the numbers.

x + 115 = 180

Subtract 115 from both sides.

x = 65

Answer: A

16 minutes

Step-by-step explanation:

The required time to inflate the balloon to Two-thirds of its maximum Volume is 16 minutes.

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,
radius = 55 / 2 = 27.5
Since volume is directly proportional to the cube of the radius,
So,
For maximum volume,
V ∝ R³

and
2/3V = v
2/3R³ = r³
r = 27.5 ∛2/3
r = 24
Now,
the radius increases at a rate of 1.5 feet per minute.
Time to reach a radius of 24 feet,
= 24 / 1.5
= 16 minutes

Thus, the required time to inflate the balloon to Two-thirds of its maximum Volume is 16 minutes.

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Answer:

newzz new new me he new new

Answer:

oiuhj90pkomnjhb vcfgtyu789i0op,lmkn bvghyu7890opklmnjbhgvfty67890-p[lkjhngvty67u890-op[l;',

Step-by-step explanation:

the answer is 7-7y i think if not the it should be 7+7y

Answer:

 The  test statistics is [tex]t = -1.40[/tex]

  The critical value is  [tex]Z_{\alpha } = 2.33[/tex]

   The null hypothesis is rejected

Step-by-step explanation:

From the question we are told that

   The sample size  for men is  [tex]n_1 = 80[/tex]

    The sample  proportion of men that own a cat is  [tex]\r p _M = 0.40[/tex]

     The  sample  size for  women is [tex]n_2 = 80[/tex]

     The sample  proportion of women that own a cat is  [tex]\r p_F = 0.51[/tex]

     The level of significance is  [tex]\alpha = 0.10[/tex]

   The  null hypothesis is  [tex]H_o : \r p _M = \ r P_F[/tex]

    The alternative hypothesis is  [tex]H_a : \r p _M < \r p_F[/tex]

Generally the test statistic is mathematically represented as

        [tex]t = \frac{(\r p_M - \r p_F)}{\sqrt{\frac{(p_M*(1-p_M)}{n_1 } } + \frac{p_F*(1-pF)}{n_2 } }[/tex]

=>  [tex]t = \frac{(0.40 - 0.51)}{\sqrt{\frac{(0.40 *(1-0.41)}{80} } + \frac{0.51*(1-0.51)}{80 } }[/tex]

=>   [tex]t = -1.40[/tex]

The critical value of  [tex]\alpha[/tex]  from the normal distribution table is

     [tex]Z_{\alpha } = 2.33[/tex]

The p-value  is obtained from the z-table ,the value is  

    [tex]p-value = P( Z < -1.40) = 0.080757[/tex]

=>    [tex]p-value = 0.080757[/tex]

Given that the [tex]p-value < \alpha[/tex] then we reject the null hypothesis

Answer:

2/10 because if the two fraction

The equivalent fractions of 8/11 = 16/22 , 24/33 , 32/44

The equivalent fractions of 1/10 = 2/20 , 3/30 , 4/40

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the first fraction be represented as A

Now , the value of A = 8/11

Let the second fraction be represented as B

Now , the value of B = 1/10

And , the equivalent fractions of A is given by

A = 8/11 , 16/22 , 24/33 , 32/44

And , the equivalent fractions of B is given by

B = 1/10 , 2/20 , 3/30 , 4/40

Hence , the fractions are solved

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Answer:

399.17 miles

Step-by-step explanation:

Gunnar's car gets 22.4 miles per gallon. His gas tank can hold 17.82 gallons of gas.

Gunnar's car travels with one gallon of gas = 22.4 miles

He can travel with 17.82 gallon of gas = 17.82 × 22.4

                                                             = 399.168 ≈ 399.17 miles

Gunnar can travel 399.17 miles if he uses all of the gas in the gas tank.

Answer:

True

Explanation:

1/2 (up the hill) - 1/2 (down the hill) = 0

Answer:

Mercury, Venus, Earth, Mars, and Uranus

Step-by-step explanation:

Calculate the escape velocity for each planet, using the equation v = √(2gR).

[tex]\left[\begin{array}{cccc}Planet&R(m)&g(m/s^{2})&v(m/s)\\Mercury&2.43\times10^{6}&3.61&4190\\Venus&6.07\times10^{6}&8.83&10400\\Earth&6.37\times10^{6}&9.80&11200\\Mars&3.38\times10^{6}&3.75&5030\\Jupiter&6.98\times10^{7}&26.0&60200\\Saturn&5.82\times10^{7}&11.2&36100\\Uranus&2.35\times10^{7}&10.5&22200\\Neptune&2.27\times10^{7}&13.3&24600\end{array}\right][/tex]

The rocket's maximum velocity is double the Earth's escape velocity, or 22,400 m/s.  So the planets the rocket can escape from are Mercury, Venus, Earth, Mars, and Uranus.