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castortr0y [4]
3 years ago
10

An unknown capital gets added 5% interest per year by a bank. After how many years does the capital get three times as big, cons

idering compound interest? Doesn't necessarily need to be the final answer, I just need to know how to start please. ​
Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

After 23 years , the capital will get three times as big

Step-by-step explanation:

Firstly, let us write the compound interest formula

P = I( 1 + r)^n

Since we are considering a capital rise of 3 times

If I, the initial value is x, the P

value later will be 3x

Interest rate is 5/100 = 0.05

so we need the value of t

This will be;

3x = x(1 + 0.05)^t

3= 1.05^t

ln 3 = t ln 1.05

t = ln 3/ln 1.05

t = 23 years

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4 0
3 years ago
What’s the product of 7 and 8
Sveta_85 [38]

Answer:

The result of multiplying 7 with 8 is called the product. Thus, the product of 7 and 8 is as follows:

56

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3 0
3 years ago
Read 2 more answers
Which of the statements using operations on rational or irrational numbers always results in a rational number?
-BARSIC- [3]
<h3>Hm a irrational number is a number like this:</h3>

1.999999\inf

So adding a rational number, like 2, it would be irrational still:

2+1.999999\inf=3.999999\inf

That being said, answer C is wrong

Now, what is 2/2? Or 4/1? Whole numbers are one of the 3 types of rational numbers.

2\ /\ 2=1\\\\4\ / 1=\ 4

Thus the answer appears to be D

Now lets use the process of elimination to double check the answer:

The wording of your question is what will help us out here:

Which of the statements using operations on rational or irrational numbers <u>always results </u>in a <u>rational number?</u>

Because of that, any of the choices that involve a irrational number can result with another irrational number like so:

a)\ 1.999\inf+ 1.999\inf=3.888\inf\\\\b)\ 2.999\inf / 1.999\inf= 1.50025\inf

And there you go, the only answer that hasn't been proven wrong is answer D.

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8 0
3 years ago
Find the 5th term in the expansion of (x+3)?.
serg [7]

Answer:

(x+3)⁴

Step-by-step explanation:

(1)x⁴

+

(4)x³.3

+

(6)x²3²

+

(4)x 3³

+

(1)3⁴

= x⁴+ 12x³+ 54x² + 108x + 81

8 0
4 years ago
Given the Arithmetic sequence A1,A2,A3,A4A1,A2,A3,A4
Bad White [126]
The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59

This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.

The n-th term is
a_{n}=a_{1}+(n-1)d
The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
     = 29 + 320
     = 349

Answer: a₃₃ = 349
7 0
3 years ago
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