All categories

3 years ago

What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?

1 answer:

5 0

Let
F--------------------> future value
P--------------------> present value
r --------------------> interest rate per year
m ------------------ > number of compounding periods per year
t --------------------> time in years.
we know that
P=$1,600
<span>t=17 years
m=2
r=10%------> 0.10

F=P(1+i)</span><span>^n
</span><span>where
i=r/m ---------> 0.10/2=0.05
and
n=m*t------------> 2*17=34

</span>F=1600*(1+0.05)^34=8405.36
<span>
the answer is $</span>8405.36<span>

</span>

You might be interested in

Helppppp plsss solve for x

pogonyaev

The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft

8 0

4 years ago

Read 2 more answers

Only 15 and 16 are the one I'm confused on

julia-pushkina [17]

F(2)=8 and f(5v)=25v^2+15v-2

5 0

3 years ago

Two students walk in the same direction along a straight path, at a constant speed - one at .90 m/s and the other at 1.90 m/s.a.

anyanavicka [17]

Answer:

a)The second student arrive 7 minutes and 36 seconds sooner

b)They have to walk 598,51 m

Step-by-step explanation:

Speed= Distance/Time

We are looking for time now

Time = Distance/Speed

First student

Time = 780 m/0.90 m/s=866,66 seconds

Second student

Time = 780 m/1.90 m/s=410,52 seconds

Difference=866,66-410,52= 456,14 seconds

In minutes

Difference= 456,14 seconds /60=7 minutes 36 seconds

Distance=Speed x Time

Speed¹ x Time¹ =Speed² x Time²

Time¹= Time² + 5.50 min

5.50 min =350 seconds

Time² =Speed¹ x Time¹ /Speed²

Time² =Speed¹ x (Time² + 350 seconds ) /Speed²

Time² =0.9 x (Time² + 350 seconds ) /1.9

Time² =0,4737 x (Time² + 350 seconds )

Time² =0,4737 Time² + 165,79 seconds

Time² - 0,4737 Time² = 165,79 seconds

0,5263 Time² = 165,79 seconds

Time² = 165,79 seconds/0,5263 =315,01 seconds

Distance=1,9 x 315,01 seconds = 598,51 m

5 0

3 years ago

A group of students are playing a game in which each player attempts to toss a beanbag through a hole cut in a piece of plywood.

bulgar [2K]

Answer:

<h2><u>Each toss is worth 3 Points please</u><em> </em></h2><h2> <em>brainliest! please <3</em></h2>

4 0

3 years ago

261,177 is farther or closer to 300000

lutik1710 [3]

Actually is close, like rounding anything above 5 is rounded up, 5 and below stays the same. It's 261,177 that means it is around 40,000 away from 300,000. Therefore is it closer

7 0

3 years ago

Read 2 more answers