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

An actor invested $77,000 at 5% and invested $349,000 at 9%

Step-by-step explanation:

Let

x ----> the amount invested at 5%

(4x+41,000) ----> the amount invested at 9%

we know that

The interest earned by the amount invested at 5% plus the interest earned by the amount earned at 9% must be equal to $35,260

so

The linear equation that represent this situation is

solve for x

therefore

An actor invested $77,000 at 5% and invested $349,000 at 9%

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

step-by-step explanation:

infinity is the answer