We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.
In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.
,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.
After substituting our given values in above formula we will get
Now we will solve for A
Therefore, after 5 years mutual fund is worth $6034.07.
The first problem is true because with multiplication it doesn't matter which order it is in.
The second problem is false because you will get a different quotient depending on which numbers are on which side of the equation.
Answer:
or
.
Step-by-step explanation:
How are tangents and secants related to sines and cosines?
.
.
Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem,
. Therefore, for the square of tangents,
.
This equation will thus become:
.
To simplify the calculations, replace all
with another variable. For example, let
. Keep in mind that
.
.
.
Solve this equation for
:
.
.
.
Given that
,
is the only possible solution.
,
, where
(i.e.,
is an integer.)
Given that
,
.
or
. Accordingly,
or
.
Answer:
1) 8.073 (multiply 0.621 by 13km)
2)1,320,000,000(5280ft times 250,000)
3)37.850(10,000 divided by 264.2)
4)4hrs
5)157680000
(60 seconds in one minute and 60 min in one hr so 60 times 60 =3600 in one hr. then multiply 3600 by 24 for the entire day which is 86400sec. Then multiply that day by 365 which is 31536000 times 5 years which gets us our total of 157680000 seconds.
6) 758000 L
1 gal = 3.79 L so we have to multiply 3.79 times 200,000 which gets us 758000
Step-by-step explanation:
1) To get this answer we need to find out how many miles are in one kilometer. 0.621 mile is 1 km so we need to put 13 for km which will get 8.073 miles. SO the answer is 8.073
2) we need to find how many feet are in a mile. 1 mile= 5,280. so 5280 times 250,000 = 1320000000
3) 264.2 gal= 1 cubic meter so 10,000/264.2= 37.850
4) 1 hr= 60 min = 4hrs and 58 minutes roughly
5) 60 sec is 1 minute= so 60 times 60(the minutes in