Answer:
y = -56
Step-by-step explanation:
The equation for direct variation is
y = kx where k is the constant of variation
y = -8 x
We know x =7
y = -8*7
y = -56
Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.
1. C. Discrete
2. A. interval
3. B. Quantitative data
4. B. Ratio
5. C. Quantitative
1. A random variable is called discrete if it has either a finite or a countable number of possible values.
A random variable is called continuous if its possible values contain a whole interval of numbers.
2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.
3. Quantitative data consist of numerical measurements or counts.
4. Something measured on a ratio scale has the same properties that an interval scale has except, with a ratio scaling, there is an absolute zero point. Temperature measured in Kelvin is an example.
There is no value possible below 0 degrees Kelvin, it is absolute zero.
5. Qualitative data can be separated into different categories that are distinguished by some non-numeric characteristics.
To learn more about the data visit:
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Answer:
72 degrees
Step-by-step explanation:
180-108=72
where I got 180: a supplementary angle is 180 degrees
Given Information:
Years = t = 35
Semi-annual deposits = P = $2,000
Compounding semi-annually = n = 2
Interest rate = i = 6.5%
Required Information
Accumulated amount = A = ?
Answer:
Accumulated amount = $515,827
Step-by-step explanation:
The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by
FV = PMT * ((1 + i/n)^nt - 1)/(i/n))
Where
n = 2
i = 0.065
t = 35
FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))
FV = 2,000*(257.91)
FV ≈ $515,827
Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.
