Answer:
y=1x+-1
Step-by-step explanation:
y=mx+b
m=slope which is 1/1 because it is rise over run (rising 1, running 1)
b=y-intercept form which is -1 because that is where the line meets the y axis
Answer:
Step-by-step explanation:
The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as
y = ab^x
y = b(1 + r)^ t
Where
y represents the value of the coin after x months.
x represents the number of months.
a represents the initial value of the coin.
b represents rate of growth.
From the information given,
a = 243
b = 1 + 15/100 = 1 + 0.15 = 1.15
Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as
y = 243(1.15)^x
If y = 1000, it means that
1000 = 243(1.15)^x
1000/243 = 1.15^x
4.115 = 1.15^x
Taking log of both sides, it becomes
log 4.115 = xlog1.15
0.614 = 0.061x
x = 0.614/0.061
x = 10 months
It will take 10 months
Answer:
1. Wind is the horizontal movement of air. All wind is caused by the uneven heating of Earth's surface, which sets convection currents in motion, Convection currents on a large scale cause global winds; convection currents on a small scale cause local winds.
2. Local winds blow between small low and high pressure systems. Local winds blow over a very limited area, while large scale winds blow over very unlimited area.
Step-by-step explanation:
To compare the two classes, the Coefficient of Variation (COV) can be used. The formula for COV is this:
C = s / x
where s is the standard deviation and x is the mean
For the first class:
C1 = 10.2 / 75.5
C1 = 0.1351 (13.51%)
For the second class:
C2 = 22.5 / 75.5
C2 = 0.2980 (29.80%)
The COV is a test of homogeneity. Looking at the values, the first class has more students having a grade closer to the average than the second class.
Answer: 6 hours
Step-by-step explanation:
Taylor cannot spend over $260.
Subtract the cost of the part needed for the repair:
= 260 - 80
= $180
$180 is left for fixing the car after buying the part.
As the labor costs $30 and now she cannot exceed $180 for labor, the total number of hours the mechanic can work is:
= 180 / 30
= 6 hours
