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
den301095 [7]
3 years ago
10

In what time will a sum of money double itself at 5 parcent compound interest payable half yearly

Mathematics
1 answer:
ella [17]3 years ago
3 0

Answer:

The Time in which sum of money double itself is 14 years .

Step-by-step explanation:

Given as :

The principal money = P

The rate of interest = R = 5 %  payable half yearly

The Amount = Double of principal

Let The time in which sum become double = t years

I.e A = 2 P

<u>From Compounded method</u>

Amount = principal × (1+\dfrac{\textrm rate}{2\times 100})^{2\times \textrm time}

or, 2 P = P  × (1+\dfrac{\textrm 5}{2\times 100})^{2\times \textrm t}

Or, 2 = (1.025)^{2 t}

Or, Taking log with base 10 both side

So, Log_{10}2 = Log_{10} (1.025)^{2 t}

or, 0.3010 = 2 t ×  Log_{10} 1.025

Or, 0.3010 =  2 t × 0.010723

Or, 0.3010 = 0.021446 t

∴ t = \frac{0.3010}{0.021446}

I.e t = 14.03 years ≈ 14 years

So, The time period = T = 14 years

Hence The Time in which sum of money double itself is 14 years . Answer

You might be interested in
A certificate of deposit often charges a penalty for withdrawing funds before the maturity date. If the penalty involves two mon
Aleonysh [2.5K]

Answer:

The amount for early withdrawal is $204

Step-by-step explanation:

Annual interest rate = 5% = 0.05

Investment = $24,000

Annual interest rate * Investment = Annual interest

0.05 * $24,000 = $1,200

Penalty = Two months of interest

(months/months in a year)  * Annual interest

(2/12) * $1,200 = 0,17

0,17 * $1,200 =  $204,00  

6 0
3 years ago
SOMEONE PLZ GELP WITH NUMBER ONE.
vitfil [10]

Answer:

900

Step-by-step explanation:

Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.

total measure of the starred angles = 4 * 360 - 180

total measure = 900 degrees

7 0
3 years ago
-5 1/2 -4 1/4 - 6 3/4
BlackZzzverrR [31]

For this case we have an expression of mixed numbers:

5 \frac {1} {2} = \frac {2 * 5 + 1} {2} = \frac {11} {2}\\4 \frac {1} {4} = \frac {4 * 4 + 1} {4} = \frac {17} {4}\\6 \frac {3} {4} = \frac {4 * 6 + 3} {4} = \frac {27} {4}

Rewriting the expression we have:

- \frac {11} {2} - \frac {17} {4} -\frac {27} {4} =

Remember that equal signs are added and the same sign is placed.

- \frac {11} {2} - \frac {44} {4} =\\- \frac {11} {2} - \frac {22} {2} =\\- \frac {33} {2}

Answer:

- \frac {33} {2}\\-(15 \frac {3} {2})

5 0
3 years ago
What is 40 divided by five
trapecia [35]
40÷5= 8 You have to see how many time 5 can go into 40 
1. see how many times 5 goes into 4 none so the first number is 0
2. then you see how many time 5 can go into 0 o times
3. so you have to see how many time you can count 5 into 40 
(count by 5's) 5,10,15,20,25,30,35,40 that should be 8 times total!
4 0
3 years ago
Can someone please help me with this?
satela [25.4K]

Answer:

Choice C

Step-by-step explanation:

Rational numbers are any number that can be written as a quotient or fraction.

7 0
3 years ago
Other questions:
  • A carpenter cut 6.5 foot board into 0.8 foot sections. What is the number of sections he cut
    14·1 answer
  • A population of moose on avalon peninsula numbered 80 individuals in 2013. in the next year, 21 individuals were born, 12 died,
    6·2 answers
  • Rewrite 3/2 : 1/4 as a unite rate
    6·2 answers
  • Tavon has a gift card for $135 that loses $3 for each 30-day period it is not used. He has another gift card for $115 that loses
    8·1 answer
  • How many solutions does the equation 3(x + 2) – 10 = 4x – 6 + x have?
    8·1 answer
  • Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
    15·1 answer
  • Is 100/2 a rational number​
    6·2 answers
  • Someone help me with this question
    13·2 answers
  • Isaac walks 8 km north and then 12 km east. How far is Isaac from his starting point?
    9·2 answers
  • Help pleaseee!!! Michelle is a cosmetician working in Stafford and receives an annual salary of $49,809. She is paid every other
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!