If the purchase price for a house is $289,500, what is the monthly payment if you put 20% down for a 30 year loan with a fixed r
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Answer:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
- Plane B is flying faster.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the rate of change or slope
- b is the y-intercept
Plane A
From the given equation
y = 470x
where
x is the time that plane flies in hours
y is the distance the plane flies in miles
Thus, comparing with the slope-intercept form y = mx+b
The rate of change or slope = 470
It means plane A is flying 470 miles per hour.
Plane B
Given the table
Time (h) 1 2 3 4
Distance (mi) 480 960 1440 1920
Finding the slope by taking any two points, let say, (1, 480) and (2, 960)
Refine
Therefore, the rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Conclusion:
Plane A:
The rate of change or slope of function A is: m = 470
It means plane A is flying 470 miles per hour.
Thus, the rate of speed of plane A is 470 miles per hour.
Plane B:
The rate of change or slope of Plane B is: m = 480
It means Plane B is flying 480 miles per hour.
Thus, the rate of speed of plane A is 480 miles per hour.
Therefore, we conclude:
- Plane B is flying faster.
Answer:
Option c. 18 withdrawals is correct
Step-by-step explanation:
Gareth has to invest = $2,000
His local bank gives 2.2% annual interest and gives him the ability to make ATM withdrawals without any charges.
In an online savings gives 4.85% annual interest, but charges $3 every time he makes an ATM withdrawal.
Let us find the amount of interest earned from the local bank.
The amount of interest earned from Local Bank = 2.2% of 2000
= × 2000
= 0.022 × 2000 = $44
The amount of interest earned from online savings = 4.85% of 2000
= × 2000
= 0.0485 × 2000 = $97
As it is given that savings account has no ATM withdrawal charges but online savings account charge $3.00 per withdrawal.
so we need to make x withdrawals from both accounts such that:
97 - 3x = 44
Let us solve for x.
Upon subtracting 97 from both sides of or equation we will get,
97 - 97 - 3x = 44 - 97
3x = -53
x = 17.666 rounded to 18
Therefore, Gareth must make 18 ATM withdrawals every year for the local savings account to be a better deal than the online savings account.