Gunther invested $10,000 in two mutual funds. one of the fun rose 6% in one year, and the other rose 9% in one year. if gunther's investment rose a total of $684 in one year how much did he invest in each mutual fund.

The amount invested at 6% was $7,200 and the amount invested at 9% was $2,800

Step-by-step explanation:

Let

x ----> the amount invested at 6%

10,000-x -----> the amount invested at 9%

we know that

The interest earned in one year by the amount invested at 6% plus the interest earned by the amount invested at 9% must be equal to $684

Remember that

so  

The linear equation that represent this problem is

solve for x

therefore

The amount invested at 6% was $7,200 and the amount invested at 9% was $2,800

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.