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sergiy2304 [10]
2 years ago
10

You have $2,000 on a credit card that charges a 16% interest rate. If you want to pay off the credit card in 5 years, how much w

ill you need to pay each month (assuming you don't charge anything new to the card)?
Mathematics
1 answer:
katrin2010 [14]2 years ago
8 0

9514 1404 393

Answer:

  $48.64

Step-by-step explanation:

The monthly payment amount is given by the amortization formula ...

  A = P(r/n)/(1 -(1 +r/n)^(-nt))

where P is the loan amount, r is the annual interest rate compounded n times per year for t years.

Here, you have P=2000, r=0.16, n=12 (months per year), t=5 (years), so the payment is ...

  A = $2000(0.16/12)/(1 -(1 +0.16/12)^(-12·5)) = $320/(12(0.54828942))

  A ≈ $48.636 ≈ $48.64

You will need to pay $48.64 each month to pay off the charge in 5 years.

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Mary sells fruit with four of her friends. If the earnings are divided evenly, how
Naya [18.7K]

Answer: 30× 4 = 120

120÷4 = 30

Step-by-step explanation:

8 0
3 years ago
∫∫(x+y)dxdy ,d là miền giới hạn bởi x²+y²=1
igor_vitrenko [27]

It looks like you want to compute the double integral

\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy

over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.

Convert to polar coordinates, in which <em>D</em> is given by the set

<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}

and

<em>x</em> = <em>r</em> cos(<em>θ</em>)

<em>y</em> = <em>r</em> sin(<em>θ</em>)

d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>

Then the integral is

\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}

3 0
2 years ago
Classify each pair of labeled angles of a complementary, supplementary, or neither.
Vsevolod [243]

Answer:

The first one is neither: 90+89=179

The second one could be either supplementary or neither: 63+47=110, but if you add the final angle measure it would be 180

The last one is complementary: 62+29=90

<em>Hope this helps; Please mark Brainliest :)</em>

8 0
3 years ago
Find the circumference of a circle with a radius of 18.5m, give answers in pie
Simora [160]

Answer:

C = pi * 37m

Step-by-step explanation:

Diameter = 2(18.5m) = 37m

5 0
3 years ago
25d-16=4d+26<br> whats d?
Sergio039 [100]
For this question you should first add -4d on both sides of the equation and then add +16 on both sides:
25d - 4d = 26+16 
21d = 42 
d = 42/21 
d = 2 :)))
I hope this is helpful
have a nice day
5 0
3 years ago
Read 2 more answers
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