Barney works as a car salesman and earns $175 for every car that he sells. he has fixed expenses of $3100 every month. he has laid out his projected variable expenses as well as his projected car sales for the first 6 months of next year. expenses variable                      cars sold january 2,600                                                32 feb 3,200                                                      36 march 1,600                                                    26 may 800                                                              22which month will barney sell enough cars to pay for all his monthly expenses ?

feb

When the number of cars needed to be sold to meet fixed plus variable expenses is subtracted from the number of cars projected to be sold, the result is negative for all months listed except February. In that month, Barney covers is expenses.

We have computed ...

... (expected car sales) - (needed car sales)

where ...

... (needed car sales) = (variable expenses + fixed expenses)/(income per car sold)

For January, this calculation gives ...

... 32 - (2600 +3100)/175 = 32 -32.571 = -0.571

That is, Barney does not project he will sell enough cars to pay his January expenses.

In February, the result is 0, which means he will sell enough cars in February to pay all his monthly expenses.

15% chance.

step-by-step explanation:

3/10 times, the 5 year old will get a tablet. 5/10 times, the 13 yer old will get a tablet. multiply both fractions to get 15/100 times, both would have a tablet.

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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