Let Kaya's savings be 30x and Edgardo's savings be 35x
If they both started saving at the same time:
f(x)=30x
f(x)=35x
Now, sub in values for x in to the function starting with 0. Subtract y2-y1 and x2-x1 for both functions.
For slope: m=y2-y1/x2-x1
so your result will be m=30/1=30 for f(x) = 30x
and m=35/1=35 for f(x) = 35x
so the slopes are m=30 and m=35 respectively!
Usually called "half of base times height", the area of a triangle is given by the formula below.Area=ba2whereb is the length of the base
a is the length of the corresponding altitude
You can choose any side to be the base. It need not be the one drawn at the bottom of the triangle. The altitude must be the one corresponding to the base you choose. The altitude is the line perpendicular to the selected base from the opposite vertex.
In the figure above, one side has been chosen as the base and its corresponding altitude is shown.
Answer:
n=1849
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Assuming that the proportion is estimated 
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1849
Answer:
Maybe you can have someone read it to you to see if you can answer it that way after you answer it on your own a cupple of times
Step-by-step explanation:
Answer: $139390 must be paid back.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = amount to be played back at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = 41000
r = 8.5% = 8.5/100 = 0.085
n = 1 because it was compounded once in a year.
t = 15 years
Therefore,
A = 41000(1 + 0.085/1)^1 × 15
A = 41000(1 + 0.085)^15
A = 41000(1.085)^15
A = $139390
