Aretired woman has $40,000 to invest. she has chosen one relatively safe investment fund that has an annual yield of 9% and another riskier fund that has a 13% annual yield. how much should she invest in each fund if she would like to earn $4,000 per year from her investments?

She should invest $30000 in the 9% fund and $10000 in the 13% fund.

Explanation

Suppose, the amount of investment at 9% rate is   dollar.

As the total amount of investment is $40000 , so the investment at 13% rate will be:

So, the amount of earnings per year from 9% fund dollar

and the amount of earnings per year from 13% fund dollar.

Given that, the total earnings per year is $4000. So the equation will be......

So, the amount of investment at 9% fund is $30000 and the amount of investment at 13% fund = ($40000- $30000)= $10000

y do u put "subscirbe to ence" on a app for ppl who need with their work?

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."