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Lerok [7]
3 years ago
10

The table shows Mr. Winkler’s schedule for paying off his credit card balance. A 5-column table with 4 rows. Column 1 is labeled

Balance with entries 650 dollars, 556 dollars and 60 cents, 462 dollars and 8 cents, 366 dollars and 42 cents. Column 2 is labeled payment with entries 100 dollars, 100 dollars, 100 dollars, 100 dollars. Column 3 is labeled new balance with entries 550 dollars, 456 dollars and 60 cents, 362 dollars and 8 cents, 266 dollars and 42 cents. Column 4 is labeled rate with entries 0.012, 0.012, 0.012, 0.012. Column 5 is labeled interest with entries 6 dollars and 60 cents, 5 dollars and 48 cents, 4. dollars and 34 cents, 3 dollars and 20 cents. If he continues to make monthly payments of $100, and makes no new purchases, how many more payments will he have to make before the balance is zero?
Mathematics
2 answers:
Anna71 [15]3 years ago
8 0

Answer:

3

Step-by-step explanation:

I did it on EDG 2020

statuscvo [17]3 years ago
6 0

Answer:

3

Step-by-step explanation:

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zubka84 [21]

Answer:

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Step-by-step explanation:

7 0
3 years ago
You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o
Aleksandr [31]

Answer:

Therefore the circumference of the circle is =\frac{20\pi}{4+\pi}

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

\Rightarrow s=\frac{10-\pi r}{2}

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

A=\pi r^2+ (\frac{10-\pi r}{2})^2

\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2

\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}

\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25

For maximum or minimum \frac{dA}{dr}=0

Differentiating with respect to r

\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi

Again differentiating with respect to r

\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}    > 0

For maximum or minimum

\frac{dA}{dr}=0

\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0

\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}

\Rightarrow r=\frac{10}{4+\pi}

\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0

Therefore at r=\frac{10}{4+\pi}  , A is minimum.

Therefore the circumference of the circle is

=2 \pi \frac{10}{4+\pi}

=\frac{20\pi}{4+\pi}

4 0
3 years ago
What is the difference between 34,162 and 12,531
mixas84 [53]

Answer:

23346.5

Step-by-step explanation:

add them together and divide by 2

4 0
3 years ago
Solve the following inequality algebraically. ∣x−5∣≤11
Igoryamba

Answer:

-6\leq x\leq 16

Step-by-step explanation:

So we have the inequality:

|x-5|\leq 11

Definition of Absolute Value:

x-5\leq 11\text{ or } x-5\geq -11

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

x\leq 16\text{ or } x\geq -6

Merge:

-6\leq x\leq 16

And we're done!

4 0
3 years ago
The sun is about 8 light minutes away. What is the distance
Vesna [10]
(3x10^8) x 8 = 2400000000

OR 2.4x10^9
5 0
3 years ago
Read 2 more answers
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