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
Karo-lina-s [1.5K]
2 years ago
6

(b) After how many complete years will a starting capital of RM5 000 first exceed RM10 000 if it grows at 6% per annum?

Mathematics
1 answer:
maksim [4K]2 years ago
3 0

Answer:

The capital will first exceed RM 10 000 after 12 complete years.

Step-by-step explanation:

This is a compound interest problem.

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this exercise, we have:

So, for our problem, we have:

We first want to find t, when A = 10,000, given that P = 5,000, n = 1 and r = 0.06.

A = P(1 + \frac{r}{n})^{nt}

10,000 = 5,000(1 + \frac{0.06}{1})^{t}

1.06^{t} = 2

Now we apply log to both sides. Important to remember the following proprierty:

\log{a^{b}} = b\log{a}

\log{1.06^{t}} = \log{2}

t\log{1.06} = \log{2}

t = \frac{\log{2}}{\log{1.06}}

t = 11.9

11.9 years is 11 years and some 330 days. The next complete year will be the 12th year.

The capital will first exceed RM 10 000 after 12 complete years.

You might be interested in
Help really quick and fast plzzzzzz
mr Goodwill [35]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
What is a the sign of a x b<br><br> (A) positive <br><br> (B) negative <br><br> (C) zero
Blizzard [7]

Answer:

I think it would be negative. So, B

Step-by-step explanation:

Was it correct?

5 0
3 years ago
The graph of a line has a slope of 2 and passes through the point (–6, –5). What is the equation of the line in point-slope form
Stolb23 [73]

Answer:

it would be

B. y + 5 = 2(x + 6)

if there is a negative number and you are subtracting it turns positive

Step-by-step explanation:

7 0
3 years ago
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The othe
Ann [662]
Answer:
The second tv option (cheaper by $1)

Step by step explanation:
To find how much the first tv will cost all together complete the equation:
$330 + $14 * 8 = $442
Second tv cost:
$369 + $9 * 8 = $441

Hope this helps
Pls give me the brainliest
5 0
2 years ago
Pls help me I kinda don’t get it.
suter [353]
A). Pi m

Explanation:

Arc length formula:

Arc length = (Ø/360°) * 2*Pi*r
Ø = given angle (degrees)
r = radius

Plug given numbers in:

(45°/360°)* 2* Pi * 4
This will give you the answer of Pi
4 0
3 years ago
Other questions:
  • Using the tree diagram, what is the probability of 2 misses?
    11·1 answer
  • The number of hours between successive train arrivals at the station is uniformly distributed on (0, 1). Passengers arrive accor
    10·1 answer
  • Compare 0.3 and 0.03
    5·2 answers
  • What are the vertex and x-intercepts of the graph of the function below?
    9·1 answer
  • What is the length of side BC?
    9·1 answer
  • Raul drinks 2/8 liter of jucie for breakfast. He drinks the same amount for lunch then he drinks the amount for dinner each day.
    9·1 answer
  • Choose the smallest number 3 1/8 or 10/3
    10·1 answer
  • Use a substitution strategy to solve the following problem.
    6·1 answer
  • Me to
    11·1 answer
  • Solve for all values of p: ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!