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lilavasa [31]
2 years ago
8

1600 dollars is placed in an account with an annual interest rate of 5.25%. How much will be in the account after 25 years, to t

he nearest cent?
Mathematics
1 answer:
Andru [333]2 years ago
3 0

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab

x

a=\text{starting value = }1600

a=starting value = 1600

r=\text{rate = }5.25\% = 0.0525

r=rate = 5.25%=0.0525

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.0525=1.0525

b=1+r=1+0.0525=1.0525

\text{Write Exponential Function:}

Write Exponential Function:

y=1600(1.0525)^x

y=1600(1.0525)

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=1600(1.0525)^{25}

y=1600(1.0525)

25

y= 5750.0628984

y=5750.0628984

Evaluate

y\approx 5750.06

y≈5750.06

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Answer:

x2 + 5x – 104 = 0

Step-by-step explanation:

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Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
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Explanation:
Let us evaluate Talia's steps.

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Step 2: Select another point (1, 3) on the line.
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Step 3: Count units to the right and count units up, to determine the slope.
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Step 4: Substitute obtained values in the point-slope form.
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Mindy's dog, Rex, weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?
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Answer:

15%

Step-by-step explanation:

To find the percent increase, use the equation:

percent of increase=<u>amount of increase</u>

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The amount of increase is 92-80 = 12.  The original amount of 80; this gives us

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Now, we know that the composite functions do not permute.

How we can prove this?

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

Well, you could use brute force (just replace the values and see if the composite functions are commutative or not)

But i will use a more elegant way.

We can notice two things:

g(x) has a discontinuity at x = 0.

so:

f(g(x)) = I 1/x^3 I + 1

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Mandarinka [93]

Answer:

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x - 3 = y

3 0
2 years ago
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