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Nataly [62]
3 years ago
10

Look at the diagram below of rectangle ABCD.

Mathematics
2 answers:
Alex17521 [72]3 years ago
7 0

Answer:

Igrtgr

Step-by-step explanation:

Druidcvjhdvdkfdtg

choli [55]3 years ago
6 0

Step-by-step explanation:

The statements which are true are

ac \:  =  \sqrt{ {cd}^{2} +  {ad}^{2}  }  \\ and \\ ac \:  =  \sqrt{ {ab}^{2}  +  {bc}^{2} }

Hope it will help :)❤

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The cost table shows the average cost, a(x), of
erastovalidia [21]

Reverse the numbers in the table to get:

(52,20) (67.5,25) and (64,30)

The answer would be (52,20)

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3 years ago
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Find the sum of 1,503 and 847 and 4,219
iris [78.8K]

1,503 + 847 + 4,219 = 6,569

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3 years ago
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
If Michael and Imani add 18% tip to the bill what does their lunch cost in total
Musya8 [376]

Answer:

X + (0.18 * X)  

where X is the price of the bill without the tip

Step-by-step explanation:

The first thing you have to do is convert the percentage to a decimal value. For example, if it is 30%, its decimal value is 0.30. As simple as dividing that 300 by 100. Repeat the previous step with all the percentages you have to add.

In this case it is 18% therefore the decimal value will be 0.18. As we do not have the value of the account, we will call this value X .

Therefore the total price of the account, that is, with the addition of the tip is as follows:

X + 18% de X =

X + (0.18 + X)

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