##### find the complement of an angle that measures 12 degress

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I need to know how to work the problem shown, that is all the book tells me and I don't understand how to solve it.

Oct 8th, 2015

Rule: Two angles are said to be complementary when they add up to 90 degrees.

For example if angles x and y are complementary then

x + y  = 90

Let x = 12 degrees

then

12 + y =90

y = 90-12

y=78 degrees

y = 78 degrees is complement to x = 12 degrees

Please let me know if need to clarify further.

Oct 8th, 2015

Thank you so much! That makes things so much easier!!

Oct 8th, 2015

Anytime

Oct 8th, 2015

okay, now I have one more question. probably not my last lol. its on interest. the question is: A woman has \$27,000. part is invested for 1 year in a certificate of deposit paying 7% interest, and the remaining amount in a cash management fund paying 9%. the total interest on the two investements is \$2,110. how much does she invest at each rate?

Oct 8th, 2015

Certificate of deposit                                                                   Cash management fund

-------------------------------                                                               -----------------------------

r=7/100=0.07                                                                               r=9/100=0.09

Amount invested = x                                                                Amount invested = (27000-x)

I_c=interest earned=P *r * t

=x * 0.07*1=0.07x                             I_m = (27000-x)*0.09*1=2430-0.09x

Now total interest I = I_c + I_m=2110

0.07x +2430-0.09x = 2110

-0.02x = 2110-2430=-320

-0.02x=-320

x=320/0.02=16000

Invested \$16000 in Certificate of deposit                        Invested =\$ 27000-16000 = \$ 11000 in cash

management fund

Please let me know if you need any clarification.

Oct 8th, 2015

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Oct 8th, 2015
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Oct 8th, 2015
Dec 3rd, 2016
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