MATHEMATICS HIGH SCHOOL

Solve this application using logarithms. At what interest rate (to the nearest hundredth of a percent) compounded annually will money in savings double in five years?

Solve this application using logarithms.

How much principal, to the nearest dollar, should you invest at 4% in order to have $3,000 for a vacation to Europe in 3 years?

Answers

Answer 1
Answer: Amount = P(1 + r)^n
2P = P(1 + r)^5
(1 + r)^5 = 2
log (1 + r)^5 = log 2
5 log (1 + r) = log 2
log (1 + r) = 1/5 log 2 = log 2^(1/5)
1 + r = 2^(1/5)
r = 2^(1/5) - 1 = 1.1487 - 1 = 0.1487

Therefore, interest rate is 14.87%

3000 = P(1 + 0.04)^3
log 3000 = log P(1.04)^3
log 3000 = log P + log (1.04)^3
log P = log 3000 - log (1.04)^3
log P = log (3000 / (1.04)^3) = log 2667
P = $2,667

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What is the ratio 35 to 56 written as a fraction in lowest terms?

Answers

In lowest terms 35 to 56 would be written as 
Answer = 5 to 8 
:)

Find a polynomial function P(x) if least degree with zeroes 7 and -2i. Write your final answer in expanded form complete with function name P(x).

Answers

1)  Polynomial with complex coefficients wil be

P(x)=(x-7)(x-(-2i))=(x-7)(x+2i)=x^2+2ix-7x-14i=\n \n=x^2+(2i-7)x-14i.

2) Polynomial with real coefficients will be

P(x)=(x-7)(x-(-2i))(x-2i)=(x-7)(x+2i)(x-2i)=(x-7)(x^2-(2i)^2)=\n \n=(x-7)(x^2-4i^2)=(x-7)(x^2+4)=x^3-7x^2+4x-28.

Pls help ill give brainliest to the person WHO GETS IT RIGHT

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

the answer is the last option. p <_ 48

How many years from 1848-2015

Answers

167 years.  You can get this by subtracting 2015 by 1848.
I think it will be 167 years
2015-1848=167

2log3(x) = 4
what is the solution?

Answers

Answer:

x = 2/log(3) is the solution

Which list shows the fractions and decimals in order from least to greatest?

Answers

where's the list at ?

Answer:

Step-by-step explanation:

where is the list to give you the answer
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