The money will be worth 7412 at the end of the 12th year.
What is compound interest?Compound interest is the interest that accrues on a loan or deposit on both the initial interests and principal.
Analysis:
To calculate the amount after 12 years we use the compound interest formula, A = P[tex](1 + \frac{r}{100} )^{n}[/tex]
where A = amount after a period of time, P = initial principal = 4500, r = rate = 4.25, n = number of years = 12.
A = 4500[tex](1 + \frac{4.25}{100} )^{12}[/tex] = 7412
In conclusion, 7412 dollar will be realized at the end of the 12th year.
Learn more about compound interest: brainly.com/question/24924853
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Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What was the total number of students who said they liked dogs best?
Answer: 54 liked best
Step-by-step explanation: None
Answer:
54
Step-by-step explanation:
Joe ran 5 ½ miles. George ran 3 miles. How
many times farther did Joe run than George?
Answer:
2.5 or 2 1/2
Step-by-step explanation:
Answer:
2.5 miles or 2 1/2 miles
Step-by-step explanation:
you subtract 5 1/2 by 3 n you get 2 1/2 so thats how many times joe ran further than george
Evaluate the expression for the given value of the variable.
51+5/8t
T= -1/2
Answer:
811/16 i think
Step-by-step explanation:
what is 24,095÷79
i need the answer in long division
Answer:
0.003Step-by-step explanation:
We have the equation:
79 ÷ 24095 = 0.003
Calculated to 3 decimal places.
Maya’s mom is 48, which is four times as old as Maya. Write an equation that can be used to find Maya’s age. Then, solve the equation to find Maya’s age.
Answer:
Maya is 12
Step-by-step explanation:
4x = 48
x = 48/4
x = 12
Answer:
Maya's age=12 year
Step-by-step explanation:
Let us suppose Maya's age=X
So age of Maya's mom=4X
Given age of Maya's mom=48
4X=48
X=12
So age of Maya=X=12
POD Isabella baked 6 and half cookies. She sold 3 and two fourths dozen of the cookies she made. How many dozens of cookies does Isabella have remaining?
Answer:
she has 3 dozens left bruh
Step-by-step explanation:
Do the Louisiana State Flag have a line of symmetry?
Answer: No it does not
Well, first you can search up a picture of the Louisiana State Flag if you don't know what it looks like. In case you don't, it looks like this.
The Louisiana State Flag does not have a line of symmetry because the bird's head is facing in one direction. If you split the state flag in half, both sides would not be similar.
Pleaseee drop answers !!!’
9514 1404 393
Answer:
a = 1b = -1Step-by-step explanation:
Evaluate the expression given.
a = √2 · cos(-π/4) = 1
b = √2 · sin(-π/4) = -1
In summary, a=1, b=-1.
Is x+5 a factor of (x^3+8x^2-3x+16)?
Erik Red is a player for the Arizona Snowflakes in the National Foosball League. The league has 25 teams, each with 73 players. Every week, 8 players per team are chosen for random drug testing.
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?
Answer:
8/73
0.10959
21 players
Step-by-step explanation:
Given that:
Number of teams = 25
Number of players per team = 73
Number of players chosen for drug testing = 8
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
Number chosen per team / number of players per team
8 / 73 = 0.10959
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
P( being chosen at least 5 times)
USing binomial. Distribution
P(X =x) = nCr * p^x * (1-p)^n-x
To save computation time, we can use the binomial distribution calculator :
P(x≥5):p(x = 5) + p(x = 6) + p(x =7) + p(x = 8) +. P(x = 9) = 0.00136
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
Number who are chosen atleast 4 times :
P(x ≥ 4) = p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x = 8) +. P(x =9) = 0.0115
P(x ≥ 4) * number of players per team * nunber of teams in league
0.0115 * 73 * 25 = 20.9875
= 21 players
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?
A unit of measure sometimes used in surveying is the link; 1 link is
about 8 inches. About how many links are there in 7 feet? Do not round
your answer
Answer:
Number of links in 7 feet = 10 links (Approx)
Step-by-step explanation:
Given:
1 link = 8 inches distance
Find:
Number of links in 7 feet
Computation:
1 feet = 12 inches
So,
7 feet = 12 x 7 = 84 inches
So,
Number of links in 7 feet = 84/8
Number of links in 7 feet = 10 links (Approx)
. When heat melts the ice and the water becomes liquid, the atoms
IS IT A/move more freely.b) move less freely.
Answer:
A
Step-by-step explanation:
Because melting is caused when atoms move faster and faster until the bonds weaken/break.
5(4 • 3 + 3 • 4)=
480
300
120
Answer:
Step-by-step explanation:
Our given equation is 5 (4 × 3 + 3 × 4)
Using The Order of Operations (AKA): PEMDAS, we need to solve this.
The "P" stands for parentheses. We do have them, so we need to solve the operations inside of them.
We don't have any parentheses inside.
The "E" stands for exponents. We don't have any, so we need to move on.
The "M" stands for multiplication. We have two multiplication symbols, so we need to solve them.
1. 5 (4 × 3 + 3 × 4)
2. 5 (12 + 3 × 4)
3. 5 (12 + 12)
The "D" stands for division. We don't have any of them, so we need to move on.
The "A" stands for addition. We have one of them, so we need to solve.
4. 5 (12 + 12)
5. 5 × 24
Now that we only have the operation 5 × 24, we can go ahead and solve.
6. 5 × 24 = 120
So now we know that when using The Order of Operations to solve the equation: 5 (4 × 3 + 3 × 4) results in a 120.
Remember this; This is The Order of Operations/ PEMDAS expression:
P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
Feel free to give brainliest.
Have an amazing day!
Suppose the total number of acres of genetically modified crops grown in developing countries from 2006 through 2012 was changing at the rate of R′(t)=2.613t2−17.7t+41.38 (0 ≤ t ≤ 6). The total number of acres of such crops grown in 1997 (t=0) was 18.1 million acres. How many acres of genetically modified crops were grown worldwide in 2012?
Answer:
The number of acres of genetically modified crops were grown worldwide in 2012 is approximately 529.39 million.
Step-by-step explanation:
Note: There are mistakes in this question particularly in the years and the rate of change. The question is therefore correctly stated before answering the question as follows:
Suppose the total number of acres of genetically modified crops grown in developing countries from 2006 through 2012 was changing at the rate of R′(t) = 2.613t^2 − 17.7t + 41.38 (0 ≤ t ≤ 6). The total number of acres of such crops grown in 2006 (t=0) was 18.1 million acres. How many acres of genetically modified crops were grown worldwide in 2012?
The explanation to the answer is now given as follows:
From the question, we are given:
R′(t) = 2.613t^2 - 17.7t + 41.38 ................................... (1)
Since t = 0 corresponds to 2006; by counting from 2006 to 2012, it implies that t = 6 corresponds to 2013.
Substituting t = 6 into equation to obtain the rate of change in 2012, we have:
R′(6) = (2.613* 6^2) - (17.7 * 6) + 41.38
R'(6) = 29.248
The number of acres of genetically modified crops were grown worldwide in 2012 can therefore be calculated as follows:
Number of acres grown worldwide in 2012 = Number of acres grown worldwide in 2006 * R'(6) ......................... (2)
Where;
Number of acres grown worldwide in 2006 = 18.1 million acres
R'(6) = 29.248
Substituting the values into equation (2), we have:
Number of acres grown worldwide in 2012 = 18.1 * 29.248 = 529.3888 million
Approximating to 2 decimal places, we have:
Number of acres grown worldwide in 2012 = 529.39 million
Therefore, the number of acres of genetically modified crops were grown worldwide in 2012 is approximately 529.39 million.
What is the 2nd step in solving this problem x/4 - 3 = 12 ?
A. Do the inverse by adding 3 to both sides
B. Do the inverse by dividing both sides by 4
C. Subtract 3 on both sides
D. Multiply by 4 on both sides
Answer:
A
Step-by-step explanation:
After the first step, which is to do the inverse by dividing both sides by 4.
The equation will look like x-3=48
You the have to do the second step, which is to add 3 (or do the inverse) on both sides (answer A)
+ Evaluate 5 to the second power + (16 - 14 ÷ 2)
Answer: 34
Step-by-step explanation:
I looked it up on google
PLATO USERS ONLY
it cost 11 dollars for 15 granola bars
what is the unit price, in dollars per granola bar, rounded to the nearest hundredth
Answer:
$1.36 per granola bar
Step-by-step explanation:
15 divided by 11 = 1.3636364
Must round to the nearest hundredths place.
Answer:
$0.73 per granola bar.
Step-by-step explanation:
Multiply.
(-8) x 11
Answer:
Your answer is -88
Step-by-step explanation:
HOPE THIS HELPS
Answer:
-88
Step-by-step explanation:
have a good day:)....
In Orlando Florida the high temperature was 98F on Saturday and 87F on Sunday what is the percent change in high temperatures
Answer:
11%
Step-by-step explanation:
If you assume this is out of 100 you can do 98/100 - 87/100, or 98% - 87%, which equals 11%
A profit-maximizing firm in a competitive market is currently producing 200 units of output. It has average revenue of $9
and average total cost of $7. It follows that the firm's
Ola average total cost curve intersects the marginal cost curve at an output level of less than 200 units.
O b. average variable cost curve intersects the marginal cost curve at an output level of less than 200 units.
O c. profit is $400.
Od. All of the above are correct.
Answer:
djbwdjvbsdajlvjlasdv
Step-by-step explanation:
URGENT!!!!..........
Answer:
105 degrees
Step-by-step explanation:
l and m are parralel and are strait lines 180 degrees
angle 6 is corresponding to angle 2 so angle 2 is also 75 degrees
180 minus 75 equals 105 degrees
Need help ASAP trigonometry
Answer: 11: tan Z = 7/24. tan X = 24/7
12: 23.1324 round to whatever
13: 14.5409 feet
Step-by-step explanation:
Dude trust me
y>-3x+1
How do I graph this
Answer:
The graph of y>-3x+1 through the points (0,1) and (1,-2)
Step-by-step explanation:
y=3x+1 is in the slope intercept form
y=mx+b
m = the slope in this case 3
b = the y intercept in this case 1.
Think of b the y intercept as the beginning this is where to start the graph.
So start with (0,1) the y intercept and make the first point at (0,1)
Think of m ( the slope) as the mountain slope, This is the angle of the slope of the line
So in this case go up three on the y axis and over 1 on the x axis.
make the next point at 1 + 3 = 4 for the y value and 0 + 1 = 1 for the x value. Make the next point at ( 1, 4)
Now connect the points. creating the line
please help asap, will mark brainliest
Answer:
D. -3Step-by-step explanation:
The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis. There are several ways to find the y-intercept of an equation, depending on the starting information you have.
How to find the Y-Intercept from the Slope and Point.
Write down the slope and point. The slope or "rise over run" is a single number that tells you how steep the line is. This type of problem also gives you the (x, y) coordinate of one point along the graph. Skip to the other methods below if you don't have both these pieces of information.
Example 1: A straight line with slope 2 contains the point (-3,4). Find the y-intercept of this line using the steps below.Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. How much money will 21 clients bring in?
Answer:
$3,500
Step-by-step explanation:
500:3
3x7=21
500x7=3,500
$3,500 for 21 cilents
Answer:
3,500 is the answer of this question
abdul received 4/5 of the 75 votes for class secretary. how many votes did he receive?
Answer:
60
Step-by-step explanation:
first you divide 75 by 5
then you multiply 15 by 4 to get your answer
A boy was asked to multiply a number by 7/8
instead he divided the number by 7/8 and got the
result 15 more than the correct result The number is?
Answer:
So first you would do 15 x 7/8 which would get you 13.12500 but round it and you would get 13.125 as the original number. If you were trying to get the number it first asked you would do 15 x 13.125 = 196.87500, round that and you would get 196.875.
Somebody can help me 1, 2, and 3 please
Answer:
1: 3y
2: 6x-2
3:lk
Step-by-step explanation:
Part B Use the distance between the rose bushes, which are located at A(−5, 4), B(3, 4), and C(3, –5), to explain where a fourth rose bush should be placed so that it forms a rectangle with the other three bushes.
Answer:
(5,-5)
Step-by-step explanation:
If you graph it, then this is the final coordinates
Tamika has two bags of trail mix. Each has a combination of 60 pieces of fruit and nuts. Ratio of fruit to nuts in the first bag:3 5 Ratio of fruit to nuts in the second bag:7 10 Which bag has more fruit? Use the ratios to justify your answer. The first bag, because the ratio is greater. The first bag, because the ratio is smaller. The second bag, because the ratio is greater. The second bag, because the ratio is smaller.
Answer:
the second bag because the ratio is greater
Step-by-step explanation:
Bag1
fruits 3 : 5 nuts so 3+5=8 and 60/8=7.5 but 7.5*3=22.5
ratio is 3/5=0.428
Bag2
fruits 7 : 10 nuts so 10+7=17 and (60/17)*7 ≈ 24.7
ratio is 7/10=0.7
Answer:
The second bag, because the ratio is greater.
Step-by-step explanation: