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Vika [28.1K]
2 years ago
8

An office supply store sells 12 rolls of tape for $29.88. At that rate, which proportion could be used to solve for c, the cost

of 36 rolls of tape?
Mathematics
1 answer:
kobusy [5.1K]2 years ago
8 0

Answer:

$89.64

Step-by-step explanation:

First, you want to find your unit rate.

To do that, simply just divide what you know (cost/amount):

29.88/12

= 2.49

This means that one role of tape costs $2.49.

Now that we know that, you can simply just solve for value "c":

c = 2.49(36)

c = 89.64

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Step-by-step explanation:

solution.

Let S represent side of the equilateral triangle.

perimeter of equilateral ∆ =3×S

Therefore,if we let width to be represented by W

Width of rectangle=W

Length of rectangle=2W

one side of equilateral triangle= W+8

Therefore after analysing the question, the true statement is; The length of the rectangle is 2W

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Ava opens an account with $400. She deposits $200/month for 20 years. The interest rate is 2.15%. How much interest will she hav
artcher [175]

Answer:

  d.  None of the above

Step-by-step explanation:

We assume the sequence of deposits is ...

  month 0: $400

  month 1: $200

  month 2: $200

...

  month 240: $200 . . . . accumulated interest is determined at this point

That is, no interest is earned on the last deposit.

_____

The value of the initial $400 deposit after 20 years at 2.15% interest compounded monthly is ...

  $400×(1 +.0215/12)^(12×20) = $400×1.536666 ≈ $614.67

The value of the $200 annuity at the same interest rate is ...

  $200((1 +.0215/12)^(12×20) -1)/(.0215/12) = $200×299.534612 ≈ $59,906.92

So, the total account value is ...

  $614.67 +59,906.92 = $60521.59

The total amount deposited was ...

  $400 +$200×240 = $48,400

The interest earned is the difference between the account value and the total of deposits:

  $60,521.59 -48,400 = $12,121.59 . . . . interest earned

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3 0
3 years ago
Can someone please help me with this? Thank you!
kkurt [141]

Answer:

\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right]

Step-by-step explanation:

In the first equality

5\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right] =\dfrac{2}{5}m\times \left[\begin{array}{cc}-1&2\\4&8\end{array}\right],

the matrices in both parts are the saem. The equality will be true if the same matrices are multiplied by the same numbers, so

5=\dfrac{2}{5}m\Rightarrow m=5\times \dfrac{5}{2}=\dfrac{25}{2}

For the second equality

(H+[1\ 4\ -2])+[3\ 2\ -6]=[-2\ 3\ -1]+([1\ 4\ -2]+[3\ 2\ -6]),

if H=[-2\ 3\ -1], then this equality represents the assotiative property of matrix addition.

Hence,

m\times H=\dfrac{25}{2}\times [-2\ 3\ -1]=\left[\begin{array}{ccc}-25&\dfrac{75}{2}&-\dfrac{25}{2}\end{array}\right]

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What is the percentage?
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