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Blababa [14]
2 years ago
9

HELP FIND VALUE OF X

Mathematics
1 answer:
maksim [4K]2 years ago
5 0

Answer:

72

Step-by-step explanation:

5a = 540            [ all interior angles r equal to 540 as "(n-2)x 180  (Interior                                           ____________________________________________angle poperty )]

a= 540/5 = 108   (one interior angle)

x + a = 180                      (linear pair)

x= 180 - a

x = 180 - 108 = 72

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Another way ::

Sum of Exterior angle = 360                 (exterior angle property)

One exterior angle = x = 360 / 5 = 72        ( 360 by the number of sides )

I hope im right!1 Sorry if im wrong :((

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Gavin has $7,500 to invest. He is considering two investment options. Option A pays 4% simple interest. Option B pays 3.15% inte
Leviafan [203]

Solution:

Principal =P= $ 7,500

Option A→(Simple interest)

Rate of interest= R=4%

Time(T_{1})=4 years

Time(T_{2})=6 years

Amount= Principal + Interest(Simple or compound interest)

Formula for Simple interest

S.I=\frac{P\times R\times T}{100}

S.I_{1}=\frac{7500 *4*4}{100}=1200\\\\ S.I_{2}=\frac{7500 *4*6}{100}=1800

Total amount after 4 years when interest is simple= 7500 +1200= $ 8700

Total amount after 6 years  when interest is simple= 7500 +1800= $ 9300

Option B

Formula for amount(A) when interest is 3.15% compounded annually.

A=P*(1+\frac{R}{100})^t

A_{4}=7500*(1+\frac{3.15}{100})^4\\\\ A_{4}=7500*(\frac{103.15}{100})^4\\\\ A_{4}=7500*(1.0315)^4\\\\ A_{4}=7500*1.1320\\\\ A_{4}=8490.60

A_{6}=7500*(1+\frac{3.15}{100})^6\\\\ A_{6}=7500*(\frac{103.15}{100})^6\\\\ A_{6}=7500*(1.0315)^6\\\\ A_{6}=7500*1.2045\\\\ A_{6}=9033.9286

Total amount after 4 years when interest is compounded annually=$ 8491 (approx)

Total amount after 6 years  when interest is compounded annually=$ 9034(approx)

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3 years ago
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6 0
3 years ago
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Viefleur [7K]
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