Answer:
force of gravity
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Answer:
y = -0.5x - 2
Step-by-step explanation:
equation: f(x) = mx + b
f(-4) : -4m + b = 0 ...(1)
f(0): 0m + b = -2 b = -2 ... plug in (1)
-4m - 2 = 0
m = - 1/2 = - 0.5
linear equation: y = -0.5x - 2
Answer:
h = 10 + 8y
Step-by-step explanation:
Given that :
Height of ght if all alien at birth = 10cm
Growth rate per year = 8 cm
Let:
y = number of years since birth
h = alien's height in centimeter
Relationship between h and y
h = Initial height + (growth rate per year*number of years)
h = 10 + 8y
Answer:
Area = 324 ft²
Step-by-step explanation:
Given
Length = 15ft
Walkway = 3ft
Required
Determine the area of the pond + the walkway
To calculate the required area, we need to get the total length of a side .
This is calculated by adding the length of a side of the pond and the side of the walkway
Total Length = Pond Length + Walkway
Total Length = 15ft + 3ft
Total Length = 18ft
Now, the required area can be calculated as thus:
Area = Total Length * Total Length
Area = 18ft * 18ft
Area = 324 ft²
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.
