Victoria has some money from her birthday and the amount is modeled by the function h(x) = 200. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x − 1. Victoria is thinking about putting her money into the savings account to gain interest. Using complete sentences, explain to Victoria how she can combine her functions to create a new function, and explain what this new function means.
Answers
the other function is interest
if she uses her money to gain interest then she puts in 200 for x in second equation
so subsitute 200 for x
the combined function would be
s(h(x))=(1.05)^(200-1)
basically she put in her savings/gifts and got interst
s(200)=(1.05)^(200-1)
s(200)=(1.05)^(199)
s(200)=16469.1
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Answers
Answers
If one crew’s rate is x miles/day, the other is 1.4x miles/day.
The collective distance per day is x+1.4x,
so in five days the distance is 5(x+1.4x).
Set that equal to the total distance:
5(x+1.4x)=36
simplify:
x+1.4x=7.2
x(1+1.4)=7.2
x(2.4)=7.2
x=3
Which members are in the sample?
Table of Random Digits
126: 47934, 01885, 20967, 94841, 27015, 44184, 05108, 86788
127: 73786, 87922, 17887, 03752, 70494, 09483, 34655, 28603
128: 53537, 96428, 40115, 27467, 90826, 52358, 14570, 54184
129: 20266, 49844, 35186, 57228, 65170, 85907, 44662, 91487
130; 89214, 31076, 93733, 30746, 44086, 20432, 94732, 78616
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The correct answer is the first one in the list of choices: 28, 40, 11 and 23.
What is random sample?
There are other ways to randomly sample. This problem illustrates how random sampling can be accomplished using a printed random number table.
Mrs. Fuller needs to randomly sample four members from a population of size 47. Each member of the population is given a unique 2-digit number, in order from 01 to 47.
Mrs. Fuller has a random number table she wishes to use to randomly select four members. She chooses a line from the table, line 128, which reads as follows:
53537 96428 40115 27467 90826 52358 14570 54184
The numbers are separated into sets of 5; this is done for readability. The digits 0-9 appear randomly in each set of 5.
If we envision this line of random numbers as a series of 2-digit numbers, we can use the first four unique 2-digit numbers between 01 and 47 to represent the population members in our sample.
Note that we don't use repeats of numbers we have already selected; we need all four to be different.
Let's reformat the line of 5-digit numbers into a series of two-digit numbers instead.
53 53 79 64 28 40 11 52 74 67 90 82 65 23 58 14 57 05 41 84
Now let's go from left to right and look for the first four 2-digit numbers between 01 and 47. We can't use 53, 79 or 64; those are outside of our desired range.
The fifth 2-digit number is 28, so we can use that. Immediately after it are 40 and 11, so those are good. It's a bit further to the last usable 2-digit number, 23. The four numbers we select appear in BOLD below.
53 53 79 64 28 40 11 52 74 67 90 82 65 23 58 14 57 05 41 84
Hence, the correct answer is the first one in the list of choices: 28, 40, 11 and 23.
Learn more about random survey, click;
#SPJ3
Our sample thus includes the members labeled 11, 23, 28, and 40.
Answers
Answer:
The sign of acceleration is positive.
Step-by-step explanation:
Consider the provided information.
It is given that A student drops a penny from the top of a tower and decides that she will establish a coordinate system in which the direction of the penny's motion is positive.
Here the direction of the velocity is positive, and the velocity is increasing.
Acceleration is defined as the rate at which an object changes its velocity.
Since velocity is positive therefore the acceleration is also positive.
Hence, the sign of acceleration is positive.
Answer:
It's positive
Step-by-step explanation: