The following problem is worded like Example 4 in the​ video, but using different quantities. How can​ $36,000 be​ invested, part at​ 6% annual simple interest and the remainder at​ 4% annual simple​ interest, so that the annual simple interest earned by the two accounts is​ equal? Fill in the table and set up an equation that could be used to solve for the unknowns​ (do not actually​ solve). Use Example 4 in the video as a model for your work.

the two may have that, even a breakdown is probably offered

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: