Answers
Answer:
1. 25,000+1000x
2. 19,000+1500x
3. 25000+1000x>19000+1500x
Step-by-step explanation:
For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).
For the 2nd one, it is the same concept as the first one.
For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.
Hope this helps!
Related Questions
Which of the following exponential functions is represented by the graph? Question 7 options: A) ƒ(x) = (1∕5)x B) ƒ(x) = (1∕5)–x C) ƒ(x) = –5x D) ƒ(x) = 5–x
Answers
Answer:
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
Step-by-step explanation:
Given
The graph above
Required
Determine from the list of options, the function of the graph
To determine the function, we have to test each of the options
But first, we nees to write out the points on the graph
(1,5), (0,1), (-1,1/5) and (-2, 1/25)
A. [tex]f(x) = (\frac{1}{5})^x[/tex]
Point 1: When x = 1, f(x) = 5
[tex]f(x) = (\frac{1}{5})^x[/tex]
[tex]f(1) = (\frac{1}{5})^1[/tex]
[tex]f(1) = (\frac{1}{5})[/tex]
There's no need to check further as the first point doesn't lie on the graph
B. [tex]f(x) = (\frac{1}{5})^{-x}[/tex]
Point 1: When x = 1, f(x) = 5
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(1) = (\frac{1}{5})^{-1}[/tex]
[tex]f(1) = 1/(\frac{1}{5})[/tex] --- Law of indices
[tex]f(1) = 1*(\frac{5}{1})[/tex]
[tex]f(1) = 1*5[/tex]
[tex]f(1) = 5[/tex]
Point 2: When x = 0, f(x) = 1
[tex]f(0) = (\frac{1}{5})^{-0}[/tex]
[tex]f(0) = (\frac{1}{5})^{0}[/tex]
[tex]f(0) = 1[/tex] --- The expression raise to power 0 is 1
Point 3: When x = -1, x = 1/5
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(-1) = (\frac{1}{5})^{-(-1)}[/tex]
[tex]f(-1) = (\frac{1}{5})^{1}[/tex] ----- Law of indices
[tex]f(-1) = (\frac{1}{5})[/tex]
Point 4: When x = -2, x = 1/25
[tex]f(x) = (\frac{1}{5})^{-x}[/tex]
[tex]f(-2) = (\frac{1}{5})^{-(-2)}[/tex]
[tex]f(-2) = (\frac{1}{5})^{2}[/tex] ----- Law of indices
[tex]f(-2) = \frac{1}{5} * \frac{1}{5}[/tex]
[tex]f(-2) = \frac{1}{25}[/tex]
There's no need to check other options as this function satisfy the 4 points on the graph;
Hence;
[tex]f(x) = (\frac{1}{5})^{-x}[/tex] is the exponential function represented on the graph
Please help
calculate the coefficient of x^14y^4 in the expansion of (x+y)^18
Answers
Look at the triangle:
What is the value of cos xº? (1 point)
A. 8÷17
B. 17 = 8
C. 15 = 17
D. 8 = 15
Answers
Answer:
15/17
Step-by-step explanation:
You can calculate cosine by doing adjacent / hypotenuse so cos x° = 15/17.
Determine the discriminant for the quadratic equation -3=x2+4x+1. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac
Answers
Greetings from Brasil...
The equation:
X² + 4X + 1 = - 3
X² + 4X + 1 + 3 = 0
X² + 4X + 4 = 0
Δ = b² - 4.a.c
Δ = 4² - 4.1.4
Δ = 0
so we have just 1 solution
X = (- b ± √Δ)2a
X = (- 4 ± √0)2.1
X = - 4/2
X = - 2Answer:
X=-2
Step-by-step explanation:
Use more than one equation.
X=-2
X=2
minus the four from the left over.
answer X=-2
Mr. Wilson invested money in two accounts his total investment was $8000. If one account pays 6% and interest and the other pays 12% interest how much did he invest in each account if he earned a total of $600 in an interest in one year
Answers
Answer:
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the investment = $ 8,000
Interest rate of the first account= 6% simple
Interest rate of the second account= 12% simple
Interest of the accounts in a year = $ 600
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
8,000 - x = Amount invested in the second account
0.06x + 0.12 * (8,000 - x) = 600
0.06x + 960 - 0.12x = 600
-0.06x = 600 - 960 (Subtracting 960 at both sides)
-0.06x = -360
x = -360/-0.06
x = 6,000 ⇒ 8,000 - x = 2,000
Mr. Wilson invested $ 2,000 in the 12% simple interest account and $ 6,000 in the 6% simple interest account.
If x2 + 6x + 8 = 0 , then x could equal which of the following?
Answers
Answer:
x = -4 , -2
Step-by-step explanation:
I am assuming "x2" is x^2. If the equation is x^2 + 6x + 8 = 0, then you first have to factor the equation x^2 + 6 + 8.
In order to do that, you would have to find the multiples of 1 (from x) and 8.
We can see that 1 * 1 is 1, so that is the only pair that would work for the problem. 4 * 2 is 8, but 8 * 1 is also 8. So, which set of numbers do we have to choose? It's actually really simple. You multiply the first set of numbers (1 and 1) with one of the sets from 8 ( 4 and 2 or 8 and 1). Then when you are finished multiplying them together, you add them together to see if they equal to the number in the middle (6x). So 1(x) * 4 is 4x, and 1(x) * 2 is 2x, and when we add the numbers together, we get 6x, which is the middle number, so therefore, 4 and 2 is the correct set of numbers, not 8 and 1, because if we multiply and add those together, we get 7x, not 6x.
After doing that, you have to put them like this:
(x + 4)(x + 2)
This is so when you multiply them together, you get the starting equation. But we have to solve for x. In order to do that, we have to plug that into the equation we started off with.
(x + 4)(x + 2)=0
Now we have to make x + 4 and x + 2 equal to 0, so x is -4 and -2. There are two correct answers. Hope this helps :)
Answer:
x is -2 and -4
If the public debt in 2006 was $6,783,231,062,743.62 and the budget
for 2007 was in deficit by $595,821,633,586.70, what was the public
debt in 2007? (Include commas.)
Answers
Answer:
677,727,284,640,775 ?
Which of the following sequences is not an arithmetic sequence? 0, -2, -4, -6, ... 1, 5, 9, 13, ... 15, 12, 9, 6, ... -1, -2, -4, -8, ...
Answers
Answer:
D. -1,-2,-4,-8
Step-by-step explanation:
An arithmetic sequence means that there is a pattern between the numbers that is constant, that deals with either adding or subtracting.
The last sequence here, is not arithmetic because it is being multiplied by 2 every time.
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answers
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
Of a classroom filled with 20 students, 2 will be selected to stay after school and correct homework for extra credit. How
many combinations are possible?
Answers
Answer: 10
Step-by-step explanation:
20/2=10
pairs of two
Answer:
10 pair
Step-by-step explanation:
20/2=10
10 pairs of students staying after school for extra credit
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83
on his fourth test. If Mark wants
a tens score average of 90, what
must hc score on his fifth exam?
Answers
Answer:
98
Step-by-step explanation:
89+85+95+83= 352,
90x5= 450,
450-352= 98
The score on his fifth exam is 98.
To find the score on his fifth exam.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities. Mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given that:
First test=89
Second test=85
Third test=95
Fourth test=83
Average = 90,
so total among up to fourth test=89+85+95+83= 352,
So, 90x5= 450,
Total score=450
Fifth test=450-352= 98
So, the score on his fifth exam is 98.
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If a b and c are three different numbers which of the following equations has infinitely many solutions
a. ax=bx+c
b. ax+b=ax+c
c. ax+b=ax+b
Answers
Answer: c ax + b = ax+ b
Step-by-step explanation: Seems like a trick question, especially since Answer c has no c in the equation. But once you put in numbers for a,b,and c, there cannot be infinite solutions for x in the first two examples.
Set up two or three equations and test them as proof.
You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+7 for all x. Find q(-1).
Answers
Answer:
q(-1)=-2
Step-by-step explanation:
1) flip the equation:
4x+7=-1
2) subtract 7 from both sides:
4x=-8
3) divide both sides by 4:
x=-2
HOPE THIS HELPS!!!! :)
When multiplying or dividing two numbers with opposite signs, the answer will be 1.negative 2.positive
Answers
Answer:
Negative when multiplying
and
Negative when dividing
Step-by-step explanation:
Answer:
I hope these help
Multiplication ;[tex] - \times - = + \\ - \times + = - \\ + \times + = + \\ + \times - = - [/tex]Division ;[tex] + \div - = - \\ + \div + = + \\ - \div - = + \\ - \div + = - [/tex]
Match the number with its opposite.
Answers
Answer:
3.2 matches with (A) -3.3
-2.3 matches with (C) 2.3
-1.5 matches with (B) 1.5
5.1 matches with (D) -5.1
Help ASAP in this picture
Answers
Answer:
the first choice
Step-by-step explanation:
0.25= 0.25
2/3= 0.3333333
56%= 0.56
0.25<0.33<0.56
0.25=0.25
2/3= 0.333
%56= 0.56
What is the expectation for a binomial distribution with p = 0.5 and n = 8?
Answers
Answer: 4
Step-by-step explanation:
Given the following :
P = probability of success = 0.5
n = number of trials = 8
The expected value of a binomial distribution with probability of success P and number of trials n is defined by:
E(n, p) = n * p
Therefore, expected value when P = 0.5 and n = 8
E(8, 0.5) = 8 × 0.5
= 4
The expected value of the binomial distribution is 4
What is the solution of sqrtx^2+49 = x+5?
Answers
Answer:
x = 12/5Step-by-step explanation:
√x² + 49 = x + 5
Square both sides
(√x² + 49)² = ( x + 5)²
x² + 49 = x² + 10x + 25
Simplify
10x = 49 - 25
10x = 24
Divide both sides by 10
x = 12/5Hope this helps you
What is the measure of a?
Answers
Answer:
a=129
Step-by-step explanation:
the angles are complementary which is is 180
51+a=180
a=180-51
a=129
10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12
2. 5X - 15 = 3X + 4
Answers
Answer:
1. x = 3.
2. x = 9.5.
Step-by-step explanation:
1. 2x + 6 = 12
2x = 6
x = 3.
2. 5x - 15 = 3x + 4
5x - 3x = 4 + 15
2x = 19
x = 9.5.
Hope this helps!
Step-by-step explanation:
1).2x + 6 = 12
Send the constant to the right side of the equation
That's
2x = 12 - 6
2x = 6
Divide both sides by 2
x = 32).5x - 15 = 3x + 4
Group like terms
We have
5x - 3x = 15 + 4
Simplify
2x = 19
Divide both sides by 2
x = 19/2Hope this helps you
Please help soon! Will give 5 starts, thanks, and brainliest! Thank you! The hypotenuse of a right triangle measures 6sqrt(2) inches and one angle is 45 degrees. What is the number of square inches in the area of the triangle?
Answers
Answer:
Area = 18 sq. inches
Step-by-step explanation:
Hypotenuse = 6√2
as it is a right angled triangle and one of the angles is 45°,
=> the other angle is also 45°.
According to 45°-45°-90° theorem,
the side is 1/√2 times the hypotenuse.
Therefore, side = 6√2 × 1/√2
=6 inches.
Area of triangle = 1/2 × base × height
= 1/2 × 6 × 6
= 1/2 × 36
=18 sq. inches
FIRST GETS BRAINLLESTIf you spin the spinner below 80 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 43 times B) Lands on yellow 8 times C) Lands on red 33 times D) Lands on red 62 times
Answers
Answer:
A, B, C
Step-by-step explanation:
Answer:
A) Lands on blue 43 times
B) Lands on yellow 8 times
C) Lands on red 33 times
Step-by-step explanation:
Blue is 1/2 of the spinner so theoretically is should be landed on 1/2 of the time which is 40/80 but experimentally, it can differ slightly. Using this same logic, it can be applied to yellow and red. Yellow is 1/8 of the spinner so it should be landed on about 10 out of the 80 times. Red is 3/8 of the spinner so it should be landed on approximately 30 out of 80 times.
If 20a-16=12(3-a), then a=?
a)5/8
b)13/8
c)21/16
d)5/2
Answers
ANSWER: B. 13/8
STEP BY STEP THING:
20a−16=12(3−a)
20a−16=−12a+36
32a−16=36
32a=52
32a/32 = 52/32
a = 13/8
Answer:
13/8 or 1.625
Step-by-step explanation:
1)combine like terms 2)isolate the variable(a) to one side of the equation 3) use multiplicative or division properties x=13/8 or 1.625
Why or why not should we use the metric system in the U.S.A?
Make sure this your own opinion. 4 - 5 sentences please
Answers
Answer:
We should definitely be using the metric system in the U.S.A, as 94.7% of the world uses this system. The metric system, moreover the newer more polished system is exclusively the only system used in science. People who are unexperienced with the metric system, may encounter difficulties when dealing with real-life businesses and work that is publicly available globally, as if you need to measure a given contrivance, the metric system will be used. When countries follow a similar system to majority of the others, it will help make that country more open and less inclusive, providing a greater and more civil world.
Answer:
The biggest reasons the U.S. hasn’t adopted the metric system are simply time and money. When the Industrial Revolution began in the country, expensive manufacturing plants became a main source of American jobs and consumer products. Because the Imperial System (IS) of measurements was in place at this time, the machinery used in these factories was developed to size in IS units; all of the workers were trained to deal with IS units; and many products were made to feature IS units. Whenever the discussion of switching unit systems arose in Congress, the passage of a bill favoring the metric system was thwarted by big businesses and American citizens who didn’t want to go through the time-consuming and expensive hassle of changing the country’s entire infrastructure. Many also believed that the United States should keep its particular system, setting it apart from other countries and symbolizing its status as a leader rather than a follower.
Step-by-step explanation:
brainlist plz
solve please 3y^4t^-2/11y^-4
Answers
Answer:
[tex] \dfrac{3y^8}{11t^2} [/tex]
Step-by-step explanation:
[tex]\dfrac{3y^4t^{-2}}{11y^{-4}} =[/tex]
[tex] = \dfrac{3y^{4 - (-4)}}{11t^2} [/tex]
[tex] = \dfrac{3y^8}{11t^2} [/tex]
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability that he gets a dark
chocolate?
% (1 d.p.)
Answers
Explanation:
Chances of getting box A or B = 1/2
Chances of getting dark choco in Box A:
P = 5/15 = 1/3
Chances of getting dark choco in Box B:
P = 12/24 = 1/2
The probability of getting a dark choco from a random box is:
P = 1/2(1/3 + 1/2) = 1/2(2/6 + 3/6) = 1/2(5/6) = 5/12
29 If we round to 1 significant figure, sound travels at a speed of approximately 0.3 kilometers per second, while light travels at a speed of approximately 300 000 kilometers per second. 29a Express the speed of sound in kilometers per second in scientific notation.
Answers
Answer:
3 x 10^-1 km per second.
Step-by-step explanation:
A scientific notation includes c x 10^n. c is a number between 1-9, and n is the nth power of 10.
If we move the decimal in 0.3 to the right by 1 place, we can get "c", which will be 3. Since we have moved the decimal to the right, each place moved right counts as -1 for n.
So, the answer is 3 x 10^-1 km per second.
which inequality matches the graph?
A) -2x+3y>7
B) 2x-3y<7
C) -3x+2y>7
D) 3x-2y<7
Answers
Which of the following coordinates represents a point that is collinear with the given points.
(-8, 0) and (4,-3)
O (-4,-1)
O (2,-3)
O (4,-4)
O (-4,1)
Answers
Answer:
A) (-4,-1)
Step-by-step explanation:
a line graphed with those coordinates would have a slope of -3/12, or -1/4.
Following that slope, you would go through (-4,-1). So that is the point collinear with the given points.
A local hamburger shop sold a combined total of 676 hamburgers and cheeseburgers on Thursday. There were 74 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Thursday?
Answers
Answer:
Step-by-step explanation:
no of hamburgers sold = 375
The number of hamburgers sold on Thursday was 375 hamburgers.
How to calculate the number of hamburgers sold?Let us use 'A' to represent the number of hamburgers sold on Thursday and 'C' to represent the number of cheeseburgers sold.
Based on the provided information: Total number of hamburgers and cheeseburgers sold is 676: A + C = 676.
And the number of cheeseburgers sold = 74 less than the number of hamburgers, which is C = A - 74.
We shall solve this system of equations to find A.
Putting the value of C from the second equation into the first equation:
A + (A - 74) = 676.
Simplify:
2A - 74 = 676.
Add 74 to both sides:
2A = 750.
Divide both sides by 2:
A = 375.
Hence, 375 hamburgers were sold on Thursday.
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