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castortr0y [4]
2 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]2 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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7^300 chia 7 dư bao nhiêu
Pepsi [2]

Answer:

dư 0... 7^300 chia 7 đc 7^299 mà

3 0
3 years ago
21x =7?<br> A. x=3<br> B. None of these <br> C. x=147<br> D. x=28
Varvara68 [4.7K]

Answer: B

Step-by-step explanation:

To isolate x, you divide both sides by 21

21x=7

\frac{21x}{21}=\frac{7}{21}

x = 7/21

Simplify by dividing both the numerator and denominator by 7

x = 1/3

Since, 1/3 is not an option, B is the correct answer

6 0
2 years ago
If one kg. of potatoes costs $4.99, what would 1.8 kg cost?
lina2011 [118]
You can use the proportion.
$4.99 / 1 kg = x / 1.8 kg
x = ($4.99 * 1.8 kg) / 1 kg
x = $8.98

Therefore, in 1.8 kg of potatoes, it costs at $8.98
 ☺️<span>✌️</span>
3 0
3 years ago
Need help answering ​
adelina 88 [10]
I think the answer is 11
4 0
3 years ago
Read 2 more answers
Find the length of<br> __<br> JK<br> Round answer to nearest tenth.
PIT_PIT [208]

Answer:

Step-by-step explanation:

We would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

JK² = JL² + KL² - 2(JL × KL)Cos10

JK² = 61² + 53² - 2(61 × 53)Cos10

JK² = 3721 + 2809 - 6466Cos10

JK² = 6530 - 6367.767

JK² = 162.233

Taking square root of both sides of the equation, it becomes

JK = √162.233

JK = 12.73 to the nearest tenth

6 0
3 years ago
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