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Law Incorporation [45]
3 years ago
10

Question 9 (5 points)

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

9514 1404 393

Answer:

  $3291.60

Step-by-step explanation:

If the loan is amortized in the usual way, the monthly payment is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . . loan of P at rate r for t years

  A = $15,000(0.081/12)/(1 -(1 +0.081/12)^(-12·5)) ≈ $304.86

The total of payments is ...

  (60 months) × ($304.86/month) = $18,291.60

Then the profit to the bank is ...

  $18,291.60 -15,000 = $3,291.60 . . . bank profit

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F(x) = 1/x<br> g(x) = x - 4<br> Can you evaluate (gof)(0)? Explain why or why<br> not.
s344n2d4d5 [400]

(gof)(0) cannot be evaluated

<em><u>Solution:</u></em>

Given that,

f(x) = \frac{1}{x}\\\\g(x) = x - 4

A composite function is denoted by (g o f) (x) = g (f(x)).

The notation g o f is read as “g of f”

Therefore, let us find whether (gof)(0) can be evaluated or not

To find (gof)(0):

(g o f) (x) = g (f(x))

Now substitute the given value of f(x)

(g o f) (x) = g(\frac{1}{x})

\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4

(g o f) (x) = \frac{1}{x} - 4

Now to find (gof)(0), substitute x = 0

(g o f) (x) = \frac{1}{0} - 4

Since 1 divided by 0 is undefined, because any number divided by 0 is undefined

(gof)(0) cannot be evaluated

6 0
3 years ago
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1+4 =5, 2+5=12, 3+6=21 then 8+11 ...
Katena32 [7]
The answer to 8 + 11 is 19
4 0
3 years ago
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After 9 new members joined the ski club, there were 38 members. How many members had been in the club previously?
dezoksy [38]

Answer:

Previously, there were 29 members in the ski club

Step-by-step explanation:

Subtract 9 from 38

6 0
3 years ago
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What is the probability
gulaghasi [49]

Answer: Last Option

P=0.4125

Step-by-step explanation:

In this case we have a uniform probability. In the graph the horizontal axis represents the possible values of the variable x and the vertical axis represents the probability P(x).

To calculate the probability that x is between 4.71 and 7.4 we calculate the area under the curve.

The horizontal length between 4.71 and 7.4 is:

7.4-4.1 = 3.3.

Then notice that the vertical length in this interval is 0.125.

Then the area of a rectangle is:

A = lw

Where l is the length and w is the width.

In this case we have to:

l = 3.3

w = 0.125

So

P = A = 3.3 * 0.125

P=0.4125

3 0
3 years ago
Look at the subtraction expression: 7-8 Which of these addition expressions is equivalent to the subtraction expression above? C
MArishka [77]
•Given 7 - 8 = -1
• -[-7 + 8] = -1, This choice
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• -7 + 8 = 1
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