The equation y=0.02x+250 gives the weekly income y in terms of sales x.
Step-by-step explanation:
Given,
Weekly salary of real estate agent = $250
Commission rate = 2%
Let,
x be the sales per week.
y be the total weekly income.
Amount of commission = 2% of sales per week
Amount of commission =
Amount of commission = 0.02x
Total weekly income = Amount of commission + Weekly salary
The equation y=0.02x+250 gives the weekly income y in terms of sales x.
Keywords: equation, percentage
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Answer: 3(x+4)<-12 and x+4<4
Step-by-step explanation:
3|x+4| - 5 < 7
Answer:
Step-by-step explanation:
we have
we know that
In this problem
substitute in the formula
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have
Therefore,
α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
Answer:
C. 18
Step-by-step explanation:
We can find the numbers of payments using following formula
PV = PMT(1- (1+r)^-n)/r
PVr / PMT = 1 - (1+r)^-n
Where
PV = present value = $1,100
PMT = monthly payments = $71.50
r = interest rate = 19.2% / 12 = 1.6%
n = numbers of month = ?
Placing values in the formula
(1+r)^-n = 1 - PVr /PMT
1.016^-n = 1-1100 x 0.016/71.50
1.016^-n = 0.753846154
-n x log 1.016 = log 0.753846154
n = - log 0.753846154 /log 1.016
n = 17.8
n = 18 payments