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Umnica [9.8K]
3 years ago
10

A hexagon is graphed on a coordinate grid and then translated 4 units to the right and 3 units up. If one of the vertices of the

original hexagon is located at (9,2), what is the ordered pair of this vertex of the new hexagon after the translation?
Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

(13 , 5)

Step-by-step explanation:

(9 + 4 , 2 + 3)  i.e. (13 , 5)

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The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly.
katrin2010 [14]

Answer:

35.8

Step-by-step explanation:

                \frac{340.1}{9.5}  = 358

 We know that our answer can never be greater than 358 since the dividend

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5 0
3 years ago
How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9
ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})

Where:

\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

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Now we substitute the values:

PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})

Now we solve the operations, we get:

PV_{\text{ord}}=39462.50

Therefore, the present value must be $39462.50

8 0
1 year ago
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