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%

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.