<span>Clarke
borrows $16000 to buy a car he pays simple interest at an annual rate of 6%
over a period of 3.5 years how much does he pay all together?
Let’s calculate
=> 16 000 dollars is the amount he borrowed
=> 6% is the annual interest
=> 3.5 years us the total years that he will be paying it.
Solutions:
=> 16 000 dollars * .06 = 960 dollars is the annual interests
=> 960 * 3.5 = 3 360 dollars for 3.5 years
=> 16 000 + 3 360 = 19 360 dollars
</span>
Answer:
1445.6 hours
Step-by-step explanation:
Distance between New York and San Francisco = 2902.8 miles (checked online)
Average speed of car = 2 mi/hr
Average speed of jet = 500 mi/hr
Time taken by Jet:
Time taken = Distance / speed
Time taken = 2902.8 / 500
Time taken = 5.8056 = 5.8 hours
Time taken by Car :
Time taken = Distance / speed
Time taken = 2902.8 / 2
Time taken = 5.8056 = 1451.4 hours
Time difference :
1451.4 - 5.8 = 1445.6 hours
Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
![Z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
We substitute x=161.4 ,
, and
to get:
![Z=\frac{161.4-150}{20} \\Z=0.57](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7B161.4-150%7D%7B20%7D%20%5C%5CZ%3D0.57)
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
Answer: y + 4 = -3(x+1)
Step-by-step explanation:
We need to rewrite in form of y=mx+b.
3x+y=5
y = -3x + 5
The slope is -3.
In addition, the slope of two parallel line would be equal, the slope of the line would be -3.
y- y1 = m(x- x1)
y- (-4) = -3(x - -1)
y + 4 = -3(x+1)
Given that the number is x,
10% increase will give us a new number of:
110/100*x
=1.1x
10% decrease will give us a new number of:
90/100*1.1x
=0.99x
This implies the new number is less than the original number