Answer:
third side range
5
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C
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11
Step-by-step explanation:
Answer:
2002
Step-by-step explanation:
The main topic of the question is compound interest.
If the percentage increase is 7.5%. Then the decimal multiplier would be 1.075. The 1 in front of the decimal represents the increase. 7.5 in decimal form is 0.075, so we just add the two together to get our decimal multiplier.
Now we do trial and error to see when we reach $700. After we get at least $700, we count how many times we multiplied $500 by the decimal multiplier and onwards to figure out the number of years it took and then add that to 1997. We add it to 1997 because the cost of the Freerange Wireless stock must have also been $500 at the end of 1997. The beginning of 1998 is the same as the end of 1997.
1) 500 x 1.075 = $537.50
2) 537.50 x 1.075 = $577.81
3) 577.81 x 1.075 = $621.15
4) 621.15 x 1.075 = $667.74
5) 667.74 x 1.075 = $717.8205
1997 + 5 = 2002
The value of Mira's stock will reach $700 by the end of 2002 because if we know that she used $500 at the beginning of 1998, that also means the cost of the Freerange Wireless stock was $500 at the end of 1997.
I hope this helps.
Answer:
RPQ = 239°
Step-by-step explanation:
Since SP is a straight line going through the center of a circle, it is a diameter.
We can say that m<SOR and m<ROP are supplementary and add up to 180° because they form a straight line. We can set up an equation:
m<SOR + m<ROP = 180°
We can substitute in the value of m<SOR:
31° + m<ROP = 180°
m<ROP = 149°
Next, we can also say that m<SOQ and m<QOP are supplementary because they form a straight line. Also, since QO is perpendicular to SP, we can say that both m<SOQ and m<QOP equal to 90°.
Now, we can say that m<ROQ (reflex angle) is equal to the sum of m<QOP and m<ROP from angle addition postulate. We can write the equation:
m<ROQ = m<QOP + m<ROP
m<ROQ = 90° + 149° = 239°
The reflex angle <ROQ cuts the arc RPQ, so they would have the same measure. So, arc RPQ = 239°
If you take 2460/41=60 you get a greater number
