Answer:
C. Portfolio income
Step-by-step explanation:
We are told that Jack wants to earn some extra income. His friends suggest that he invest in bonds and stocks.
Let us know the meaning of our given income types.
Earned income: The income which is paid for work is called earned income such as salary.
Passive income: The income which is the result from cash flow received on a regular basis is called passive income such as dividend income.
Portfolio income: The income that comes from investments, dividends, interest and capital gains is called portfolio income such as stocks, bonds, mutual funds, and annuities.
Business income: The income that comes from any business activity is called business income. It is also an earned income.
Since the income received from bonds and stocks is called portfolio income, therefore, option C is the correct choice.
Answer:
259/30 or 8 19/30 depending on what format your teacher wants the answer
Step-by-step explanation:
First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30
I hope this helps and please don't hesitate to ask if there is anything still unclear!
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find , we need to use z score formula:
When x = 4.2, we have:
When x = 5.1, we have:
Therefore, we have to find 
Using the standard normal table, we have:
= 
or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
A) Diagram
Below is a sketch of the recctangular lawn (the inside rectangle) and the gravel border.
6 ft + 150 yards + 6 ft
-------------------------------
| |
| --------------------- |
| | | |
| | | | 6 ft + 80 yard + 6 ft
| | | |
| --------------------- |
| |
|------------------------------|
B) How many square feet of the gravel will surround the lawn?
Conversion: 1 yard = 3 feet
=> 80 yard = 80*3 feet = 240 feet
=> 150 yard = 150 * 3 feet = 450 feet
Area of the external rectangle = (6 ft + 240 ft + 6 ft) (6 ft + 450 ft + 6 ft) = 252 ft * 462 ft = 116,424 ft^2
Area of the internal rectangle = 240 ft * 450 ft = 108,000 ft^2
Area of the gravel border = 116,424 ft^2 - 108,000 ft^2 = 8424 ft^2
answer: 8424 ft^2
C) volume
volume = area of the base * depth
2 inches = 2/12 ft = 1/6 ft
=> volume = 8424 ft^2 * 1/6 ft = 1404 ft^3
answer: 1404 ft^3
C) cost
1 yard^3 = $ 30
1yard ^3 = (3 feet)^3 = 27 ft^3
=> cost = $ 30 / 27 ft^3
=> 1404 ft^3 * $30 / 27 ft^3 = $ 1560
answer: $ 1560
Price for <span>roller coaster ride:x
</span><span>Prices for the entry fee:y
</span><span>From table: for 5 rides total price is $35: 5x+y=35
for 11 rides total price is $59: 11x+y=59
</span><span>5x+y=35⇒y=35-5x
</span><span>11x+y=59
y=35-5x
11x+35-5x=59⇒6x=59-35
y=35-5x
6x=24⇒x=24/6
x=4⇒y=35-5*4
y=15
Price for entry fee is $15, </span><span>and for each roller coaster ride $4.</span>
