Answer:
Dale would reach his goal with an annual interest rate of 6.18%.
Step-by-step explanation:
For compounding continuously, recall the following equation:
A = final amount ($4200)
P = principal amount ($2000)
r = rate (unknown)
t = time (12 years).
You'll have to use natural logs for these types of questions. Remember that ln (e) = 1.
See the work done in the attached file.
Hope this helps!
Answer and explanation:
If a team's winning percentage denotes how often it has won then,
Then assume that it has won 7 out of 10 times then it has won 70% of the time
If the team's opponents' winning percentage denotes how often each has won without haven to face the team, then assume that each opponent has won 6 out of 10 times then it has each opponent has won 60% of the time(it could be different percentages if teams have won different number of games for each 10 games played)
If each opponent's opponents have each won 5 out of 10 times, 8 out of 10 times, 7 out of 10 times(assuming 3 groups, say 3 each, of opponents for 3 teams) then the groups must have won 50%, 80% and 70% of the time.
Answer:
1/3 is the simplified form for given expression.
Step-by-step explanation:
Given that:
=
By simplifying:
Radical sign will be removed as follows:
=
For removing the "-" sign from power, base will be inverted:
=
27 can also be written as 3 * 3 * 3 = 3^3
So,
=
=
By simplifying we get:
= 1/3
i hope it will help you!
Answer:
First we just have to find two components, the slope and a point. The point is given but no slope.
y = 3 is only a horizontal line that passes (0,3). A horizontal line does not have a slope (or the slope is 0).
The line is said to be parallel to it so the slope must also be 0 and just a horizontal line.
So the equation of the line is,
y = mx + b
Substitute the slope and (5,7) to find b.
7 = 0(5) + b
7 = b
The equation of the line would be like this,
y = 0x + 7
y = 7