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Neko [114]
3 years ago
15

Use the following compound interest formula to complete the problem. 2007-11-01-00-00_files/i0110000.jpg Victor has a credit car

d with an APR of 13.66%, compounded monthly. He currently owes a balance of $1,349.34. Assuming that Victor makes no purchases or payments, how much will he owe after one year, to the nearest cent? a. $1,349.34 b. $1,533.66 c. $1,545.65 d. $1,364.70
Mathematics
2 answers:
stiks02 [169]3 years ago
4 0
A=p (1+r/k)^kt
A=1,349.34×(1+0.1366÷12)^(12×1)
A=1,545.65
Ahat [919]3 years ago
4 0

Answer:

The correct answer is C. $ 1545.65

Step-by-step explanation:

Principle = $ 1349.34

Rate = 13.66 %

t = No. of times the interest is compounded in one year

⇒ t = 12  ( since it is given that the interest is compounded monthly so the interest is compounded 12 times in one year)

n = 1 year

Amount=Principle\cdot (1+\frac{rate}{n})^{n\cdot t}

where n = no. of years and t = No. of times the interest is compounded in one year

\Rightarrow Amount=1349.34\cdot (1+\frac{13.66}{100\cdot 12})^{12\cdot 1}

= 1349.34 × 1.15

= $ 1545.65

So, the correct answer is C



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Step-by-step explanation:

The quotient rule for derivation is:

For f(x) = h(x)/k(x)

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In this case, the function is:

f(x) = Sin(x)/(1 + Cos(x))

Then we have:

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And for the denominator:

k(x) = 1 - Cos(x)

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Replacing these in the rule, we get:

f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2}

Now we can simplify that:

f'(x) = \frac{Cos(x)*(1 - Cos(x)) - Sin(x)*Sin(x)}{(1 - Cos(x))^2} = \frac{Cos(x) - Cos^2(x) - Sin^2(x)}{(1 - Cos(x))^2}

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4 0
3 years ago
A rectangle has a length of (x+10) centimeters and a width of x centimeters. If the perimeter is 32 centimeters, what is the len
I am Lyosha [343]

Given:

Length of rectangle = (x+10) cm

Width of the rectangle = x cm

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We know that,

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Where, l is length and w is width.

Substituting the values, we get

32=2((x+10)+x)

32=2(2x+10)

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32-20=4x

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Divide both sides by

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MissTica

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

19 wrong answers.

Step-by-step explanation:

Given:

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As Angelina got 7 more wrong answers than Sahil,

Number of wrong answers, Sahil got = 12

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