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Gemiola [76]
3 years ago
14

PLEASE HELP!!!!!!!!!QUICK

Mathematics
1 answer:
fgiga [73]3 years ago
6 0
For this case we have the following table:
 X    F(x) 
 -1   -11 
 0    -1 
 1     9
 From here, we look for the function f (x).
 We then have that as the equation is linear:
y-yo = m (x-xo)

 Where,
 m = (y2-y1) / (x2-x1)


 m = (9 - (- 1)) / (1-0)

 m = (9+1)/(1)

m = 10
 We choose an ordered pair:
 (xo, yo) = (0, -1)

 Substituting values:
 y + 1 = 10 (x-0)

 Rewriting:
 y = 10x - 1

 Thus, the function f (x) is:
 f (x) = 10x - 1

 On the other hand, the function g (x) is:
 g (x) = 5x +1

 Answer:
 
The slope of f (x) is greater than the slope of g (x) (10> 5)
 
The intersection with the y axis of g (x) is greater than the intersection with the y axis of f (x) (1> -1)
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defon

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

3 0
3 years ago
Please help me with this question.
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Answer:

3 to 9

second is 2.5 to 15

Step-by-step explanation:

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rewona [7]

Answer:

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Using distributive property to multiply 24 × 69 to determine our partial products:

i.e.

24 × 69 = 24 × (60 + 9)

= (24 × 60) + (24 × 9)

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So; we can have:

= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)

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