Shaan and Anita currently insure their cars with separate companies, paying $650 and $575 a year. If they insure both cars with the same company, they would save 10 percent on their annual premiums. What would be the future value of the annual savings over 10 years based on an annual interest rate of 6 percent

$1615

Explanation:

($575 + 650) 0.10 = $122.50

Find the future value of $122.50

Future value can be calculated using a financial calculator:

$122.50 = PMT

10 = N

6% = I/Y

Press compute then FV

Fv = $1615

I hope my answer helps you

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

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