The answer is 3.7 when rounded
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
Answer:
-8, 0, and -12
Step-by-step explanation:
Using -7 would get you 8. Using -5 would get you 4
Let the units of the problem be miles and hours. The first plane's distance from point p can be described by
... x = 150 -450t
The second plane's distance from point p can be described by
... y = 200 -450t
Since their flight paths are at right angles, the Pythagorean theorem can be used to describe the distance between them (s).
... s² = x² + y²
... s² = (150 -450t)² + (200 -450t)² = 22500 -135000t +202500t² +40000 -180000t +202500t²
... s² = 40500t² -315000t +62500 = 2500(162t² -126t +25)
... s = 50√(162t² -126t +25)
Answer:
See below ↓
Step-by-step explanation:
- Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true
- Probability can range in from 0 to 1
- The probability Choosing a card from the deck of card
<u>Applications</u>
- Flipping a coin
- Throwing a dice in the air
- Pulling a red ball out of a bucket of red and white balls
- Winning a lucky draw
- Of all the events in a sample space adds up to 1
