In 1975, interest rates were 7.85 % and the rate of inflation was 12.3 % in the United States. What was the real interest rate in 1975? How would the purchasing power of your savings have changed over the year? (Note: Be careful not to round any intermediate steps less than six decimal places.) What was the real interest rate in 1975? Real rate of interest in 1975 was nothing%. (Round to two decimal places.)

The correct answer is -3.963%.

Explanation:

According to the scenario, the given data are as follows:

Interest rate = 7.85%

Rate of inflation = 12.3%

So, we can calculate the real interest rate by using the following method:

Real interest rate =[ (1 + Interest rate) ÷ ( 1 + inflation rate) ] - 1

By putting the value, we get,

Real interest rate =[ (1 + 0.0785) ÷ ( 1 + 0.123) ] - 1

= -3.963%

So, the purchasing power of your savings decreased by 3.963%.

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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