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4vir4ik [10]
2 years ago
9

What is the length of XY

Mathematics
1 answer:
arsen [322]2 years ago
4 0

Answer:

6

Step-by-step explanation:

We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:

5x + 8 = 9x + 12

Minus 8 on both sides

5x = 9x + 4

-4 = 4x

x = -1

Now substitute both sides of the equation with -1 instead of x

-5 + 8 = -9x + 12

3 = 3

XY = MY + XM

XY = 3 + 3 = 6

Hope this helps :)

Have an awesome day!

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Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds
MissTica

Step 1

Given;

\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

A=P(1+rt)

Step 3

Find the interest when the rate is 8%

\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}

Therefore the interest is given as;

A-P=382397.26-375000=\text{\$}7397.26

Step 4

Find the interest in 1980 with a 20% rate

\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}

The interest is given as;

A-p=393493.15-375000=\text{\$}18493.15\text{ }

Step 5

Find the difference in interest between the two rates.

\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89

Hence, the difference in interest between the two rates = $11095.89

4 0
1 year ago
Kelly’s baby brother weighs 7.71 is pounds. Her newborn kitten weighs 0.24 pound. How much more does kelly’s baby brother weigh
sleet_krkn [62]

Answer:

7.47

Step-by-step explanation: 7.71-0.24=7.47 which is how you find how much more the baby weighed than the kitten

3 0
3 years ago
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3 years ago
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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

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YES

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3 years ago
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Answer:

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