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3 years ago

What is 3(4x + 9) (im new to this subject of math)

Mathematics

2 answers:

miss Akunina [59]3 years ago

5 0

Answer: your answer is 12+27.

multiply 4x its 12x and multiply 9 by 3 you will get 27

Alex777 [14]3 years ago

4 0

Answer:

12x + 27

Step-by-step explanation:

Expand the brackets:

(3*4x) + (3*9)

12x + 27

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Cassidy deposited $500 into a money market account that paid 7% interest compounded monthly. How much did she have to the neares

Vesna [10]

Cash deposited = P = $500
Interest rate = r = 7% = 0.07
Compounding Frequency = n = 12
Time = t = 30 - 16 = 14 years
Amount accumulated = A = ?

Formula to be used:

$A=P(1+ \frac{r}{n})^{nt}$

Using the values, we get:

$A=500(1+ \frac{0.07}{12})^{12*14} =1328.44$

This means, $1328.44 will be her balance at the age of 30.

4 0

3 years ago

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to o

Zarrin [17]

Answer:

The range of the data is 9.0.

The population variance is 8.25.

The population standard deviation is 2.87.

Step-by-step explanation:

The data set is: S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

(A)

The range of a data set is the difference between the maximum and minimum value of the data set.

Compute range as follows:

$Range=Max.-Min.=11-2=9$

Thus, the range of the data is 9.0.

(B)

The formula to compute the population variance is:

$Var=\frac{1}{n} \sum (x_{i}-\bar x)^{2}$

Compute the mean of the data set:

$\bar x=\frac{1}{n} \sum x_{i}\\=\frac{1}{10}(2+3+4+5+6+7+8+9+10+11)\\=6.5$

Compute the variance as follows:

$Var=\frac{1}{n} \sum (x_{i}-\bar x)^{2}\\=\frac{1}{10}[(2-6.5)^{2}+(3-6.5)^{2} +(4-6.5)^{2}+...(11-6.5)^{2}]\\=8.25$

Thus, the population variance is 8.25.

(C)

The population standard deviation is:

$SD=\sqrt{Var} = \sqrt{\frac{1}{n} \sum (x_{i}-\bar x)^{2}}$

Compute the population standard deviation of the data set:

$SD=\sqrt{Var} = \sqrt{8.25}=2.87$

Thus, the population standard deviation is 2.87.

5 0

3 years ago

1 -1 plus 23 plus 59 times 3 - 2 =

LuckyWell [14K]

198 is the answer. So write it.

3 0

4 years ago

Read 2 more answers

Find the exact surface area of the following. The exact surface area is

Nataliya [291]

Answer:

Surface area: 4323pi

Fill the box with the value "4323", as there is a "pi" after the box.

Step-by-step explanation:

We need to find the surface area of the cone (without the base) and the surface area of the semi sphere (without the base).

The surface area of the cone, without the base, is:

S1 = pi * r * s

Where s is the slant height.

To find s, we can use the Pythagoras' theorem with the radius and the height:

s^2 = h^2 + r^2

s^2 = 56^2 + 33^2 = 4225

s = 65

So the surface area is:

S1 = pi * 33 * 65 = 2145pi

Now, to find the surface area of the semi sphere, we just need to find half of the surface area of a sphere:

S2 = (1/2) * 4 * pi * r^2

S2 = 2 * pi * 33^2 = 2178pi

Finally to find the total surface area we just need to sum both surface areas:

S = S1 + S2 = 2145pi + 2178pi = 4323pi.

As after the box to answer there is a pi, we just need to fill the box with the value "4323"

7 0

4 years ago

PLEASE HELPP DUE TODAYYYY:what is the LDC least common denominator

boyakko [2]

I believe the least common denominator is six.

4 0

3 years ago