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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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Question
Luden [163]

Answer:

Step-by-step explanation:

2 units squared.

Explanation:

You can go about this in two ways: Algebra and Integrals.

Algebra

y = 2x-6 is linear, thus if we take the value over the x interval [2,4] we can use geometry to calculate the area.

graph{2x-6 [-2.27, 7.73, -2.18, 2.82]}

You can see two triangles in the graph (you could also find this algebraically). Thus, you can calculate the area.

=

2

⋅

(

1

2

⋅

b

⋅

h

)

=

2

⋅

(

1

2

⋅

1

⋅

2

)

=

2

square units

Integrals

An integral gives the area under the curve. Remember though that if a function goes below the X axis, the integral is negative Thus you have to do two separate integrals based on the X intercept.

finding the X intercept (that is where y = 0)

2

x

−

6

=

0

x

=

3

when

y

=

0

When

x

<

3

, then y is negative. Thus, we have to find the negative integral from 2 to 3 and the positive integral from 3 to 4

=

−

∫

3

2

2

x

−

6

d

x

+

∫

4

3

2

x

−

6

d

x

=

−

[

x

2

−

6

x

]

3

2

+

[

x

2

−

6

x

]

4

3

=

−

[

9

−

18

−

4

+

12

]

+

[

16

−

24

−

9

+

18

]

=

−

[

−

1

]

+

[

1

]

=

2

units squared. And Tada, that is the same as the other answer!

3 0
3 years ago
Ben flipped a coin and got heads 7/15 of the time. If he flipped the coin 45 more times, how many times would you expect Ben to
DanielleElmas [232]

Answer:

22 times

Step-by-step explanation:

just to be clear i don't know if thats right because you can't actually expect which way a coin is going to flip so its all up to chance but anyways...

1. 7 is about half of 15 and 22 is about half of 45 (you could also do 23 or 22.5 if you want to be exact)

7 0
2 years ago
Read 2 more answers
Brianna has 4 pink bracelets. One third of all her bracelets are pink . How many bracelets does Brianna have ?
Korvikt [17]

Answer:

Total number of bracelets  Brianna have are 12 .

Step-by-step explanation:

Let us assume that the total numbers of the bracelets be x .

As given

Brianna has 4 pink bracelets.

One third of all her bracelets are pink .

Than the equation becomes

\frac{1\times x}{3} = 4

Simplify the above

x = 4 × 3

x = 12

Therefore the total number of bracelets  Brianna have are 12 .


4 0
3 years ago
Read 2 more answers
Match the inequality to the graph of its solution.<br> a. n/4 ≤ -1<br> b. -10 ≥ -100<br> c. 5x ≥ 20
postnew [5]
<span>a. n/4 ≤ -1

Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.

That in the real number line is all the numbers to the left of - 4 (including  -4)

The matching graph is the B.


b. -10n ≥ -100

Divide both sides by - 10 => n ≤ 10

That is all the real numbers less or equal than 10.

In the real number line it is all the numbers to the left of 10, including 10.

So, the matching graph is the A.


c. 5x ≥ 20

Divide both sides by 5 => x ≥ 4

That is all the real numbers greater or equal to 4.

In the real number line it is all the numbers to the right of 4, including 4.

The matching graph is C.</span>
4 0
3 years ago
Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)
goblinko [34]

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16  is the required equation.

4 0
3 years ago
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