One safe investment pays 10% per year, and a more risky investment pays 14% per year. a. How much must be invested in each account if an investor of $102,000 would like a return of $11,320 per year?
b. Why might the investor use two accounts rather than put all the money in the 14% investment?
a. $
is invested in the 10% account.

Step-by-step explanation:

x + y = 102000

y = 102000 - x

x(0.10) + y(0.14) = 11320

x(0.10) + (102000 - x)(0.14) = 11320

0.10x + 14280 - 0.14x = 11320

0.04x = 2960

x = $74000 in the 10% account

102000 - 74000 = $28000 in the 14% account

b) to limit the risk to the overall investment plan

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

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step-by-step explanation: