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docker41 [41]
3 years ago
11

Find the amount in a account where $200 is invested at 3.5% compounded quarterly for a period of 3 years.

Mathematics
1 answer:
AveGali [126]3 years ago
6 0

Answer:

$222.04

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), where n is the number of times interest is compounded per year, t is the number of years and r is the interest rate as a decimal fraction.

Here, A = ($200)(1 + 0.035/4)^(4*3), or

             = ($200)(1.00875)^(12)  =  $200(1.11) = $222.04

The compound amout after 4 years (12 compounds) will be $222.04.

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Line XY bisects and is perpendicular to AB and CD. CD = 10 and XY = 24. What is the length of AP?
myrzilka [38]

Answer:

<u>AP = 13</u>

Step-by-step explanation:

See the attached figure.

CD = 10 and XY = 24

Line XY bisects and is perpendicular to AB and CD

∴ XY bisects at Y

∴ CY = 0.5 CD = 0.5 * 10 = 5

And from the geometry of the shape

P is the midpoint of XY

∴ XP = YP = 0.5 XY = 0.5 * 24 = 12

XY is perpendicular to CD

∴ ΔPYC is a right triangle at Y

∴ PC (hypotenuse) = \sqrt{PY^2+YC^2} =\sqrt{12^2+5^2}=\sqrt{144+25} =\sqrt{169} =13

From the figure AP = PC = 13

8 0
3 years ago
If the measures of two angles of a triangle are 87 and 17 ​, what is the measure of the third​ angle
Serhud [2]

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76 degrees

Step-by-step explanation:

The total of the three angles in a triangle should equal 180 degrees. So to find the third angle, subtract the two given angles from 180

180 - 87 = 93

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The third angle is 76 degrees because then all angles will add up to 180

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