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3 years ago

You sold your house for $160,000. Your realtor charged a 6% fee on the amount of the sale. How much money did your realtor make?

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

6 0

You would multiply $160,000. X 0.06 to get $9,600. I think this is correct.

Mars2501 [29]3 years ago

3 0

6% of 160, 000 = 9600 dollars

The realtor made $9600

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If the sum of five consecutive even integers is 290, what is the smallest of the five integers?

PilotLPTM [1.2K]

So let n be the smallest number. To have consecutive even integers each number goes up by 2 so n, n+2, n+4, n+6, n+8.

Therefore, n+n+2+n+4+n+6+n+8=290

5n+20=290

5n=270

n=54

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3 years ago

The sides of a triangle are in the ratio of 1:2:2 and the perimeter of the triangle is 15 feet. The length of the shortest side

Nataly_w [17]

Attached the solution and work.

5 0

3 years ago

Robin purchased a $160,000 182-day T-bill discounted to yield 1.96%. When he sold it 45 days later, yields had dropped to 1.82%.

Sav [38]

The amount earned by Robin is $224

Given the cost of 182-day T-bill = $160,000

If Robin is discounted to yield 1.96%, the amount yield is expressed as:

The yield of 1.96% = 1.96% of 160000

The yield of 1.96% = 0.0196 * 160000

The yield of 1.96% = $3136

Similarly, if the yield is dropped to 1.82%

The yield of 1.82% = 1.82% of 160000

The yield of 1.82% = 0.0182 * 160000

The yield of 1.82% = $2,912

Amount earned by Robin = $3136 - $2192

Amount earned by Robin = $224

Hence the amount earned by Robin is $224

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6 0

2 years ago

What is the z-score of a newborn who weighs 4,000 g?.

vagabundo [1.1K]

The z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

$X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z tables, the p value we get is

$P(Z \leq z) = \rm p \: value$

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

X = weights of newborns for some considered system (in grams)
$\mu$ = mean weight of newborns (in grams)
$\sigma$ = standard deviation of the data set of weights of newborns

Then, the z-score for X = 4000 is

$z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}$

Thus, the z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

Learn more about z-scores here:

brainly.com/question/13299273

3 0

2 years ago

Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches. Which equation represents h, his sist

photoshop1234 [79]

Answer:

The required equation is 4h-6=70.

Step-by-step explanation:

It is given that Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.

Let h be his sister’s height in inches.

4 times of his sister’s height = 4h

6 inches shorter than 4 times his sister’s height = 4h - 7

Since Jahlil is 6 inches shorter than 4 times his sister’s height, therefore the Jahlil's height is

$H(h)=4h-6$

It is given that Jahlil’s height is 70 inches.

$H(h)=70$

$4h-6=70$

Therefore the required equation is 4h-6=70.

3 0

3 years ago

Read 2 more answers