An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest earned from the investment was $35,260. How much did he invest at 5% and 9%?

Step-by-step explanation:

He invested $41,000 more than 4 times the amount at 9%.

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: