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Murljashka [212]
3 years ago
13

Hello how are you doing today

Mathematics
1 answer:
natima [27]3 years ago
8 0

I am doing fine thanks bro.

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5. To get to the library from his house, Robert biked 6 kilometers due east and then
AURORKA [14]

Answer:

24 kilometers.

Step-by-step explanation:

The shortest path between two points is a straight segment that connects the two points.

Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.

  • The two shorter segments are the two legs, and
  • The longer segment that joins the library and the house is the hypotenuse.

The length of the hypotenuse can be found with the Pythagorean Theorem.

\begin{aligned}\text{Hypotenuse} &= \sqrt{(\text{Leg 1})^{2} + (\text{Leg 2})^{2}}\\&= \sqrt{6^{2} + 8^{2}}\\&= \sqrt{36 + 64} \\&= \sqrt{100}\\&= \rm 10\;km\end{aligned}.

The length of the round-trip will equal to the sum of the length of the three segments: \rm 6\;km + 8\;km + 10\;km = 24\;km.

5 0
3 years ago
you deposit $1500 in an account that pays 5% annual interest compounded continuously what is the balance after 6 years.
Gemiola [76]
Hello kiddio lets figure this out!

The formula for simple interest is I = P*R*T where I = interest, P = Principal (original amount), R is the rate as a decimal, and T is time in years.  So I = 1500*(.05)*6 = 1500*(0.30) = $450.  The total amount you have after 6 years is the amount you started with ($1500) plus the interest ($450) which is $1950.   The formula for yearly compounding is  A = P(1 + r)t   where   A = Accumulated or final amount  P = Principal ($1500) r = interest rate as a decimal (0.05)t = time (6 years)   A = 1500*(1 + 0.05)6 = 1500*(1.05)6 = $2010.14  

Have a nice day
3 0
3 years ago
Mr.rodriguez invests half money in land a tenth in stocks and a twentieth in bonds he puts the remaining 35,000 in his savings a
Elena-2011 [213]

Answer:  $100,000

<u>Step-by-step explanation:</u>

   Land  +  Stocks  +  Bonds  +  Savings  =  100%

    \dfrac{1}{2}x    +    0.1x     +    \dfrac{1}{20}x       +  35,000   =  1.00x  

=  0.5x   +     0.1x   +     0.05x  +  35,000  =  1.00x

=                                    0.65x  +  35,000  =  1.00x

                                                     35,000  =  0.35x

                                                     \dfrac{35,000}{0.35}=\dfrac{0.35x}{0.35}

                                                    100,000  =  x  

3 0
4 years ago
Read 2 more answers
25, 8, 10, 35, 5, 45, 40, 30, 20 What is the upper quartile of the data set above?A.35
Vlada [557]
<span>An upper quartile is the range of numbers above the median in a set. Thus, the numbers have to be rearranged mentally or on paper. Fortunately, there are an odd set of numbers, so one number, 25, is the median. The upper quartile is 30, 35, 40, 45.</span>
6 0
3 years ago
41. You water your roses every sixth
ICE Princess25 [194]

Answer:

30

Step-by-step explanation:

because 6 × 5 equals 30 and when you're looking for when something's going to be the same you got to do what your numbers are times each other

5 0
4 years ago
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