All categories

3 years ago

Mila Hawkins purchased a bookshelf for $210.00.

Mathematics

1 answer:

Alenkinab [10]3 years ago

6 0

Answer:

$12.60

Step-by-step explanation:

6% of 210 is .06 x 210 which equals 12.60

You might be interested in

the population of South Africa is four times the population of Greece. if the population of south Africa is 44 million, write an

bixtya [17]

From the problem statement, the population of South Africa is four times the population of Greece.

The population of Greece is 11 million

Given data

Population of South Africa is 44 million,

Let the population of Greece be x

Hence the population of South Africa will be = 4*x

Hence the expression becomes

44million = 4x

Let us divide both side by 4 to find the population of Greece

x= 44million/4

x = 11 million

Hence the population of Greece is 11 million

Learn more about cross multiplication :

brainly.com/question/294036

7 0

2 years ago

How do you solve this system by substitution. Y= -5x+3 -x-7y=13

geniusboy [140]

A) Y= -5x+3
B) -x -7y = 13 substituting equation A) into B)
B) -x -7*(-5x +3) = 13

B) -x +35x -21 = 13
B) 34x = 34
x = 1

A) Y= -5*1 +3
A) Y= -2

3 0

3 years ago

a culture started with 2000 bacteria. after 6 hours it grew to 2400 bacteria. predict how many bacteria will be present after 16

valentina_108 [34]

Hi!

Let's find how much bacteria it grows per hour.
2400 - 2000 = 400
bacteria per (divided by) hour
400/6 = 66.7
After 16 hours...
66.7 x 16 = 1067.2
Plus the original amount of bacteria
1067.2 + 2400 = 3467.2

The answer is 3067.2

Hope this helps! :)
-Peredhel

8 0

3 years ago

Please simplify the following distributive property expression:

guapka [62]

You are correct

4(3x-5)

4(3x) + 4(-5)

12x-20

6 0

3 years ago

What is the variance of a portfolio invested 21 percent each in a and b and 58 percent in c?

victus00 [196]

Given the following information:

$\begin{tabular}
{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}
\multicolumn{1}{|p{1.5cm}|}{State of economy}\multicolumn{1}{|p{2.6cm}|}{Probability of State of economy}\multicolumn{3}{|p{4.8cm}|}{Rate of Return if State Occurs}\\[1ex] 
\multicolumn{1}{|p{1.5cm}|}{}\multicolumn{1}{|p{2.6cm}|}{}\multicolumn{1}{|c|}{Stock A}&StockB&Stock C\\[2ex]
\multicolumn{1}{|p{1.5cm}|}{Boom}\multicolumn{1}{|p{2.6cm}|}{0.66}\multicolumn{1}{|p{1.27cm}|}{0.09}&0.03&0.34\\
\end{tabular}$
$\begin{tabular}
{|p{1.5cm}|p{1.5cm}|p{1.2cm}|p{1.2cm}|p{1.2cm}|}
\multicolumn{1}{|p{1.5cm}|}{Bust}\multicolumn{1}{|p{2.6cm}|}{0.34}\multicolumn{1}{|p{1.27cm}|}{0.23}&0.29&-0.14\\
\end{tabular}$

Part A:

The expected return on an equally weighted portfolio of these three stocks is given by:

$0.66[0.33 (0.09) + 0.33 (0.03) + 0.33(0.34)] \\ +0.34[0.33 (0.23) + 0.33(0.29) +0.33(-0.14)] \\ \\ =0.66(0.0297 + 0.0099 + 0.1122)+0.34(0.0759+0.0957-0.0462) \\ \\ =0.66(0.1518)+0.34(0.1254)=0.1002+0.0426=0.1428=\bold{14.28\%}$

Part B:

Value of a portfolio invested 21 percent each in A and B and 58 percent in C is given by

For boom: 0.21(0.09) + 0.21(0.03) + 0.58(0.34) = 0.0189 + 0.0063 + 0.1972 = 0.2224 or 22.24%.

For bust: = 0.21(0.23) + 0.21(0.29) + 0.58(-0.14) = 0.0483 + 0.0609 - 0.0812 = 0.028 or 2.8%

Expected return = 0.66(0.2224) + 0.34(0.028) = 0.1468 + 0.00952 = 0.1563 or 15.63%

The variance is given by

$0.66(0.2224-0.1563)^2+0.34(0.028-0.1563)^2 \\ \\ =0.66(0.0661)^2+0.34(-0.1283)^2=0.66(0.00437)+0.34(0.01646) \\ \\ =0.00288+0.0056=\bold{0.00848}$

4 0

3 years ago