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Pani-rosa [81]
4 years ago
9

You have $50,000 in savings for retirement in an investment earning 5% annually. You aspire to have $1,000,000 in savings when y

ou retire. Assuming you add no more to your savings, how many years will it take to reach your goal?
Mathematics
1 answer:
Ahat [919]4 years ago
4 0

Answer: It will  take you about 61 years for you to reach your goal.

Step-by-step explanation:

We will represent this situation by an exponential function. So if you earn 5% yearly then we could represent it by 1.05.So in exponential function we need to find the initial value and the common difference and in this case the common difference is 1.05 and the initial value or amount is 50,000 dollars.

We could represent the whole situation by the equation.

y= 50,000(1.05)^{x}  where x is the number of years. so if you aspire to have 1,000,000 in some years then we will put in 1 million dollars for y and solve for x.

1,000,000 = 50,000(1.05)^x   divide both sides by 50,000

20 = (1.05)^x

x= 61.40

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Subtract (8x – 2) – (5х – 7)
professor190 [17]

Answer: 3x - 9

Step-by-step-explanation: To solve the expression (8x – 2) – (5х – 7) we will be using properties of operations. First, use the commutative and associative properties to move the values next to each other to combine like terms.

(8x – 2) – (5х – 7)

(8x-5x)+(-2-7)

3x-9

So, the subtracted answer is 3x - 9

7 0
3 years ago
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Which is the solution to the inequality?
FinnZ [79.3K]

Answer:

\Huge \boxed{x

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation.

First, subtract 1/4 from both sides.

1/4+x-1/4<5/6-1/4

Solve.

5/6-1/4=7/12

Therefore, the correct answer is A. x< 7/12.

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4 years ago
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What is the output when the input is (n) please help!
natulia [17]

Subtract the output from the inputs and you find that the output is the input - 4

Output = n - 4

3 0
3 years ago
In 2000 the city of Las Vegas had a population of 478,434. In 2007 there were 558,880 people living in Las Vegas. How many more
lianna [129]
2000 = 478'434 
2007 = 558'880
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8 0
4 years ago
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The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and the probability that a r
Elena L [17]

Answer:

The probability of choosing a person with BP  who is also a runner is 2/3.

Step-by-step explanation:

According to the given data:

P( Selecting a  person with high blood pressure )  =  0.3

or, P(H)  = 0.3

P( Selecting a  person who is a Runner )  =  0.4

or, P(R)  = 0.4

Now, P( Randomly Selecting a person who has high BP and is a runner)  = 0.2

⇒ P(H∩ R)  = 0.2

Now, we need to find the P(randomly selected person is a runner and has already has high BP)

or we need to find: P(R/H)

now, by BAYES THEOREM:

P(R/H) = \frac{P(R\cap H)}{P(H)}

\implies P(R/H) = \frac{0.2}{0.3 }  =  \frac{2}{3}

Hence, the probability of choosing a person with BP  who is also a runner is 2/3.

4 0
3 years ago
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