Answer:
length = 6 feet
width = 4 feet
Step-by-step explanation:
To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure. Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.
The general formula for perimeter of a rectangle is:
2w + 2l = P, where w = width and l = length
Using the variable and expression from above and the perimeter of 20 feet:
2(2l - 8)+ 2l = 20
distribute: 4l - 16 + 2l = 20
combine like terms: 6l - 16 = 20
add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36
divide and solve for 'l': 6l/6 = 36/6, or l = 6 feet
solve for 'w': w = 2(6) - 8 or w = 12 - 8 = 4 feet
Answer:
Mortgage option (3) would be best suited for them.
Step-by-step explanation:
Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays about $750 monthly (as for option (1)) or about $ 9000 annually (as for option (2)) both may actually be more or less the same amount since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual fixed rate of interest of 4.25%.
Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000) they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.
The sales was increased by 44.4%.
Step-by-step explanation:
- Lets do this cumulative
- 90 of 10 % = 9 which is 99
- 90 of 10 % = 9 which is 108
- 90 of 10% = 9 which is 117
- 90 of 10% = 9 which is 126
- 90 of 4 % = 3.6 which is 129.6
- 90 of 0.044% = 0.0396 which is 129.99
- This comes to nearly 44.44 to be closer there was an increase.
- Always rule 1 approximation use 50% of 90 if it is above 130.
- Down it to 40% of 90 see if the sales is lower than 130.
- It should always start with 50,40,30....10 percents.
- Alternative should be 10,1 or decimals.
- Approximation using decimals rounding up becomes simple.
Since my answer was deleted here it is:
The variable x represents the cost per pound of meat.
The variable y represents the cost per pound of cheese.
The deli charges $4.50 for a pound of meat.
Have a great day! (this is late but for anyone else who needs it)
Where are the numbers so that people can help you
