Indicate what operation or operations each problem calls for; then, solve the problem. mount rainier is 14,410 feet high. mount mckinley is 20,320 feet high. how much taller is mount mckinley? if babe ruth averaged 46 home runs per year, how many home runs did he hit in 12 years? what’s the difference between paying $10,000 cash for a car or paying a loan of $200 per month for 60 months? ken sold $700 worth of digital cameras, $2,394 worth of laptops, and $833 worth of vacuum cleaners. digital cameras cost $175 each, laptops cost $399 each, and vacuum cleaners cost $119 each. if ken earns a $35 commission for each sale, how much did he earn in commissions in all? a parking garage owner has spaces for 70 cars and charges each driver $6 per day for parking. if the garage is full, how much more would the garage owner make if he charged $8 per day? regina has $25 to buy groceries. she needs 3 cans of dog food, a gallon of milk, 5 pounds of chicken, a box of cereal, and 6 rolls of paper towels. the prices of the items are as follows: dog food—$1.50 a can; milk—$4 a gallon; chicken—$1.55 a pound; cereal—$2.75 a box; paper towels—99 cents a roll. will regina have enough money for all the items she needs? if not, how much more will she need? (note: remember that there are 100 cents in a dollar.)

1) Mount Rainier is 14,410 feet high. Mount McKinley is 20,320 feet high. How much taller is Mount McKinley?

requires subtraction operation
Mount Rainier is 14,410 feet high
Mount McKinley is 20,320 feet high

20320-14410=5910 feet hight
Mount McKinley is 5910 feet hight much taller

2) If Babe Ruth averaged 46 home runs per year, how many home runs did he hit in 12 years?
requires multiplication operation
46 home runs per year
X12 year
x=12*46=552 home runs in 12 years

3) What’s the difference between paying $10,000 cash for a car or paying a loan of $200 per month for 60 months?

requires multiplication operation
requires subtraction operation

paying  cash$10,000 
 $200 per month for 60 months200*60=$12,000 
12000-10000=$2000
the difference is $2000

4) Ken sold $700 worth of digital cameras, $2,394 worth of laptops, and $833 worth of vacuum cleaners. Digital cameras cost $175 each, laptops cost $399 each, and vacuum cleaners cost $119 each. If Ken earns a $35 commission for each sale, how much did he earn in commissions in all?

requires division operation
requires multiplication operation
requires sum operation

 digital cameras$700/175=44*35=$140
laptops$2394/399=66*35=$210
vacuum cleaners$833/119=77*35=$245
he earn in commissions140+210+245=$595

5) A parking garage owner has spaces for 70 cars and charges each driver $6 per day for parking. If the garage is full, how much more would the garage owner make if he charged $8 per day?

requires multiplication operation
requires subtraction operation

 70 cars*6=$420
70 cars*8=$560
560-420=$140

6) Regina has $25 to buy groceries. She needs 3 cans of dog food, a gallon of milk, 5 pounds of chicken, a box of cereal, and 6 rolls of paper towels. The prices of the items are as follows: dog food—$1.50 a can; milk—$4 a gallon; chicken—$1.55 a pound; cereal—$2.75 a box; paper towels—99 cents a roll. Will Regina have enough money for all the items she needs? If not, how much more will she need?

requires multiplication operation
requires sum operation

3 cans of dog food$1.50*3=4.50
1 gallon of milk$4 *1=4
5 pounds of chicken$1.55*5=7.75
1 box of cereal,$2.75*1=2.75
6 rolls of paper$0.99*6=5.94

total=4.50+4+7.75+2.75+5.94=24.94

24.94<25 Regina have enough money for all the items 

Step-by-step explanation:

For this case we want to find the derivate of this function:

And in order to find the derivate we need to apply the chain rule given by:

And on this case

And we can find the partial derivates like this:

And if we replace we got:

And if we replace we got:

And that would be our final answer on this case