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
coldgirl [10]
2 years ago
5

A you borrows $10000 for 5 years at 12% compound interest. How much will the man have to repay?

Mathematics
2 answers:
valentinak56 [21]2 years ago
7 0

Answer:

in 5 years he will have to pay over $10000 he will have to pay almost $100k

Step-by-step explanation:

Andrew [12]2 years ago
4 0

Answer:

Correct option is

A

14.2

⇒  Company borrow Rs.10000 i.e. pv=Rs.10000 and I=5%=0.05. A is also given which is Rs.1000

⇒  Present value of annuity regular

⇒  pv=A×[

I×(1+I)

n

(1+I)

n

−1

​

]

⇒  10000=1000×[

0.05×(1+0.05)

n

(1+0.05)

n

−1

​

]

⇒  (1.05)

n

−0.5×(0.5)

n

=1

⇒  (1.05)

n

=2

Taking log both sides

⇒  n=

log1.05

log2

​

∴   n=14.2years

You might be interested in
If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams
Juliette [100K]

Answer:

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

N=N_0e^{-\lambda t}

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

\frac{N}{N_0}=\frac{75\%}{100\%}=\frac{75}{100}=\frac34, t= 10

N=N_0e^{-\lambda t}

\Rightarrow \frac {N}{N_0}=e^{-\lambda t}

\Rightarrow \frac34 =e^{-\lambda .10}

Taking ln both sides

\Rightarrow ln|\frac34| =ln|e^{-\lambda .10}|

\Rightarrow ln|\frac34|=-10\lambda

\Rightarrow \lambda=\frac{ ln|\frac34|}{-10}

Now , N₀= 512 grams, N= 121.5 grams, t=?

N=N_0e^{-\lambda t}

\therefore 121.5=512e^{-\frac{ln|\frac34|}{-10}.t}

\Rightarrow 121.5=512e^{\frac{ln|\frac34|}{10}.t}

\Rightarrow \frac{121.5}{512}=e^{\frac{ln|\frac34|}{10}.t}

Taking ln both sides

\Rightarrow ln|\frac{121.5}{512}|=ln|e^{\frac{ln|\frac34|}{10}.t}|

\Rightarrow ln|\frac{121.5}{512}|={\frac{ln|\frac34|}{10}.t}

\Rightarrow t=\frac{ln|\frac{121.5}{512}|}{\frac{ln|\frac34|}{10}}

\Rightarrow t=\frac{10.ln|\frac{121.5}{512}|}{{ln|\frac34|}}

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

8 0
3 years ago
Answer Choices: a) slope=-3 b)slope=-1/3 c)1/3
Leto [7]

Answer:

A) -3

Step-by-step explanation:

If you move down three times and once to the right, you get the next point.

Slope = rise/run

It rises -3 units and run 1. So -3/1 which can be simplified to just -3

<em>Hope this helped and plz mark as brainliest!</em>

<em></em>

<em>Luna G.</em>

8 0
3 years ago
A) What fraction of a day is 8 hours?
Scrat [10]

Answer:

a. 8/24 or 1/3 a day

b. 45/60 or 3/4 a hour

c. 1/7 of a week

d. 4/12 or 1/3 a year

Step-by-step explanation:

Simply divide by the conversion you want to set.

60 seconds is 1 hour

24 hours is 1 day

7 days is 1 week

3-4 weeks per month (depending on the month and year)

12 months a year

3 0
3 years ago
The first term of a geometric sequence is −2 and the common ratio is 3. What is the fourth term of the sequence?
Nat2105 [25]

Answer: -54

Step-by-step explanation:

The question is the first term of a geometric sequence is −2 and the common ratio is 3. The formula for finding the nth term of a geometric sequence is: ar^n-1

where,

a = first term = -2

r = common ratio = 3

n = number of terms = 4

The solution has been attached. The answer is -54

5 0
3 years ago
The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

5 0
3 years ago
Other questions:
  • What would be 2 + 7x + 3 − 5x − 1 = ______ plz help
    12·2 answers
  • Jeff has 30 problems to do for math homework, and he fhinshed 60% of them before play practice. How many problems did he finish
    12·1 answer
  • There are 40 coins in a roll of nickles. Find the value of 25 rolls of nickels.
    10·2 answers
  • The product of a number and -5 is -115. What is the number?
    8·1 answer
  • 8) Find the x-intercepts: *
    7·1 answer
  • A student is given the task of buying 100 ball point pens with$100. She must buy atleast one $10 pen, atleast one $3 pen, and th
    13·1 answer
  • Find the measure of angle TUY
    12·2 answers
  • PLEASE HELLLLLP ME!!!!!!<br> Write the inequality for five times b plus 3 is at most 10
    9·2 answers
  • The area of the triangle below is 38.28 square meters. What is the length of the base?
    7·1 answer
  • Identify the LCM for 6 and 18.<br> 36<br> 108<br> 18<br> 6
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!