1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ronch [10]
3 years ago
10

Suppose $1000 is invested at a rate of 13% per year compounded monthly. (Round your answers to the nearest cent.)

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Answer:

a.  $1010.83

b.$1066.77

c. $1138.00

d.$13,269.22

Step-by-step explanation:

Given the annual rate as 13%(compounded monthly) and the principal amount as $1000.

a. #first we calculate the effective annual rate;

i_m=(1+i/m)^m-1\\\\i_{12}=(1+0.13/12)^{12}-1=0.1380

The compounded amount after 1 month is therefore:

P_1=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_1=1000(1+0.1380)^{1/12}\\\\P_1=1010.83

Hence, the principle after one month is $1010.83

b. The principal after 6 months:

-From a above we have the effective annual rate as 0.1380 and our time is 6 months:

P_{6m}=P(1+i_m)^n, \ n=6m, P=1000, i_m=0.1380\\\\P_{6m}=1000(1+0.1380)^{6/12}\\\\=1066.77

Hence,  the principal after 6 months is $1066.77

c.The principal after 1 year:

-From a above we have the effective annual rate as 0.1380 and our time is 12 months:

P_{1y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{1y}=1000(1+0.1380)^{12}\\\\P_{1y}=1138

Hence,  the principal after 1 year is $1138.00

d. The principal after 20years:

-From a above we have the effective annual rate as 0.1380 and our time is 20yrs:

P_{20y}=P(1+I_m)^n, n=1/12, i_m=0.1380, P=1000\\\\P_{20y}=1000(1+0.1380)^{12}\\\\P_{20y}=13269.22

Hence,  the principal after 20 years is $13,269.22

You might be interested in
What is the measure of angle 1?
svp [43]

Answer:

88°

Step-by-step explanation:

Since we have 2 parallel lines, first we use the Corresponding Angles Postulate.

Since angle 2 is corresponding to the 92° angle,

angle 2 = 92°

Now we know that angle 1 and angle 2 are supplementary.

This means:

angle 1 + angle 2 = 180°

<em>(substitute known values)</em>

angle 1 + 92 = 180

<em>(subtract 92 on both sides)</em>

<h2>angle 1 = 88°</h2><h2></h2>

Hope this helps, please say thanks if it does!

3 0
2 years ago
Does it matter which way you subtract in distance
lubasha [3.4K]
Yes it does matter which way you subtract


5 0
3 years ago
Which is greater? -1 17/20 or -1 8/10PLSSS HELP ASAPplsss show work aswell
wel
-1 17/20 and -1 8/10 can be compared easily if we give them common denominators. If we multiply the second fraction by 2, both fractions will have a denominator of 20.

8 * 2 = 16
10 * 2 = 20
New fraction: 16/20

-1 17/20 vs. - 1 16/20

-1 16/20 (-1 8/10) is greater. (For negative numbers, you can tell which one is greater by determining which one is closest to zero.)
6 0
2 years ago
11/5-1/2= Fraction fraction
Luba_88 [7]

Answer:

11/5-1/2     =    22/10-5/10= 17/10   =   1  7/10

Step-by-step explanation:

The answer is 1  7/10

3 0
2 years ago
Read 2 more answers
Write the inequality. A number n is negative.
hoa [83]

Answer:

  n < 0

Step-by-step explanation:

A negative number is one that is less than zero.

  n < 0

5 0
3 years ago
Other questions:
  • 7/9 Has how many 1/3s in it?
    5·1 answer
  • What is the probability of rolling an even number when rolling a 6-sided die? A) 3 B) 1 2 C) 1 3 D) 1 4
    11·1 answer
  • State the question which is definitely come in tomorrow 10th board exam
    11·1 answer
  • Terry is putting a fence around his circular pasture. The radius of the pasture is 25 ft. Which of the following gives the BEST
    12·1 answer
  • M&lt;KGH=x+161,m&lt;FGK=x+41,and m&lt;FGH=180° Find x
    8·1 answer
  • 1.2+x=9.0(1.5-x) what is the value of x?
    12·1 answer
  • 1/2(x+18)=4(2x-6)-9x
    9·1 answer
  • To make a specific shade of green paint, Timia mixes 2 cups of blue paint with 10 cups of yellow point. How many cups of yellow
    7·1 answer
  • For each tank explain whether or not there is a proportional relationship between the
    9·1 answer
  • :<br> Solve the inequality and graph the solution.<br> ​<br> ​ 3(x+5)&gt;12
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!