Answer: 4.5%
Explanation:
A = P(1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
A = 10000 + 1800 = 11800
11800 = 10000 (1 + r4)
1.18 = 1 + 4r
4r = 0.18
r = 0.18/4 = 0.045 = 4.5%
The required annual interest rate is 4.5% for the account.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
A = P(1 + rt) ...(i)
First, we have to find the final amount
Initial principal amount (P) = $10,000
Time (t in years) = 4
A = P + S.I.
A = 10000 + 1800 = 11800
Substitute the values in the above formula (i),
11800 = 10000 (1 + r × 4)
1.18 = 1 + 4r
4r = 0.18
r = 0.18/4 = 0.045 = 4.5%
Therefore, the required annual interest rate is 4.5% for the account.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ5
One hundred eight Americans were surveyed to determine the number of hours they spend watching television each month. It was revealed that they watched an average of 151 hours each month with a standard deviation of 32 hours. Assume that the underlying population distribution is normal. Define the random variable X in words
The random variable X represents the number of hours Americans spend watching television each month.
In the given scenario, 108 Americans were surveyed, and it was found that they watched an average of 151 hours each month, with a standard deviation of 32 hours. The random variable X helps us quantify and describe the distribution of this data. By defining X as the number of hours spent watching television, we can analyze and make inferences about the population's television viewing habits. The random variable X in this scenario represents the number of hours an individual American spends watching television each month. Each survey respondent's value of X corresponds to the number of hours they reported watching TV. The random variable X allows us to quantify and analyze the variability in TV viewing habits among the surveyed American population.
Learn more about variable here
https://brainly.com/question/12869971
#SPJ11
Since 60° is of 360° then the length of is the circumference of the circle.
Since 60° is one-sixth (1/6) of 360°, then the length of the arc subtended by a central angle of 60° is one-sixth (1/6) of the circumference of the circle.
Which of the following is defined as a process that extracts DNA and inserts it into an egg to be transplanted for growth and development?
cloning
genetic transfer
duplication
genetic modification foods class
Answer:
cloning
Explanation:
What is the solution to this linear system?
107
8
6
14
10 8
12
6
8 10
2
4
-6
-8
-10
The solution
Answer: .
Explanation:
What two numbers should be placed in the blanks below
so that the difference between the consecutive numbers
is the same?
The two numbers that should be placed in the blanks below so that the difference between the consecutive numbers is the same "13,_,_,34" is 20,27
Calculations and ParametersGiven the question.,
We would solve using arithmetic progression
let 13, a , b , 34 be consecutive numbers.
a=13l=34n=4l=a+(n-1)d.. the AP formula
We input the values
34 = 13 + (4 - 1) d
34 - 13 = 3d
21 = 3d
d = 21/3 = 7
a = 13 + 7 = 20
b=20+7=27
Therefore, the two numbers that should be placed in the blanks below so that the difference between the consecutive numbers is the same "13,_,_,34" is 20,27
Read more about arithmetic progression here:
https://brainly.com/question/18828482
#SPJ1
A builder uses the function g defined by g(x) = 80x + 10,000 to estimate the
cost g(x), in dollars, to build a one-story home of planned floor area of x square
feet. If the builder estimates that the cost to build a certain one-story home is
$106,000, what is the planned floor area, in square feet, of the home?
Answer:
1200 square feet
Explanation:
substitute $106,000 for g(x) and solve for x
The planned floor area (x) of the home is 1200 square feet.
What is the function of g(x)?The function of g(x) in a function is assigned to an operation that has an equation to form another new function.
From the given information:
g(x) = 80x + 10,000
where;
g(x) = cost to build one-story home = $106000Thus;
106000 = 80x + 10,000
106000 - 10000 = 80x
80x = 96000
x = 96000/80
x = 1200
Learn more about the function of g(x) here:
https://brainly.com/question/15785230
The bumpy pattern on the soles of shoes is called the tread. Melanie and Keisha are at the store looking at the treads on different basketball shoes. They want new shoes so that they do not slide on the basketball court. Which of these situations produces the most friction between the shoes and the floor?
A girl with greater mass wearing shoes with more tread?
Explain (or list) at least five reasons why you will benefit from going to college or trade school.
Answer:
1. Improved job prospects:
By completing a degree or trade program, you can have access to more job opportunities and higher-paying jobs.
2. Enhanced skills and knowledge: College and trade school education can equip you with the skills and knowledge needed to excel in your chosen field.
3. Networking opportunities: Attending college or trade school can help you build professional networks that can be useful for career advancement.
4. Personal growth: College or trade school can help you develop independence, critical thinking, and other essential skills that can benefit you throughout your life.
5. Greater earning potential: Completing a college degree or trade program can lead to higher earnings and a better quality of life in the long run.
As used in line 40, "wanting" most nearly means
lacking
requesting
pleasing
destring
A widow's peak hairline is dominant (W) to a straight hairline (w). Karen and her brother both have a straight hairline, but her parents and sister all have a widow's peak. Complete the Punnett square that shows Karen's family
Answer:
Karen and her brother both have a genotype 'ww' (phenotype straight hairline), whereas the father and sister have a genotype 'Ww' (phenotype peak hairline).
Explanation:
A Punnett square is a representation of how different gametes combine to produce distinct genotypes from a given genetic cross.
A Punnett square is very useful to decipher the possible expected genotypes and phenotypes of a given genetic cross.
In this case, the father will be heterozygous 'Ww', thereby producing two types of gametes: W and w, whereas the mother will be homo-zygous 'ww', producing only one type of gamete: w.
The Punnett square here is:
W w
w Ww ww
w Ww ww
In conclusion, Karen and her brother both have a genotype 'ww' (phenotype straight hairline), whereas the father and sister have a genotype 'Ww' (phenotype peak hairline
A widow's peak hairline is dominant (W) to a straight hairline (w). Karen and her brother both have a straight hairline, but her parents and sister all have a widow's peak. To complete the Punnett square that shows Karen's family, we need to determine the genotypes of her parents and then use that information to create the Punnett square.
Since a widow's peak is dominant, we know that Karen's parents must both have at least one W allele. However, since Karen and her brother both have straight hairlines, we also know that they must have at least one w allele. Therefore, the genotypes of Karen's parents must be Ww and Ww.
Using this information, we can create the Punnett square:
W
w
W
WW
Ww
w
Ww
ww
From this Punnett square, we can see that there is a 25% chance of a child having a straight hairline (ww) and a 75% chance of a child having a widow's peak (WW or Ww). This explains why Karen and her brother both have straight hairlines, while her parents and sister all have widow's peaks.
Learn more about the Punnett square:
https://brainly.com/question/29485916
#SPJ11
V.11 Solve a system of equations using elimination: word problems NHR
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
A baseball coach takes her team out for pizza every time they win a game. Not everyone can
come each time, so she orders the pizzas based on how many players are coming. After last
week's victory, she bought 4 small pizzas and 4 large pizzas, the perfect amount for the 28
players going out for pizza. This week, there were 24 players going, so she ordered 4 small
pizzas and 3 large pizzas, which was also just the right amount. How many people does each
size of pizza feed?
Answer:
To solve using elimination, follow these four steps: Step 1: Make sure the equations have opposite x terms or opposite y terms
Explanation:
Some forestry professions work for logging companies
True or false
Answer:
true
Explanation:
Answer:
true
Explanation:
What is responsible for Earths movement towards the sun
Answer:
wanna say gravity
Explanation:
I'm in 8th grade
What about elective classes makes you say that they don't help build life skills ??
These elective classes are important because they allow students to explore different topics, learn enriching knowledge and possibly find a passion.
what are elective classes?These are elective courses that are not part of the mandatory curriculum. There are elective classes available in areas like business, journalism, music, art, and computer programming. Selecting electives is a way to stand out while applying to colleges, though it is generally thought of as an opportunity to learn something new.
what is the advantage of elective classes?Your ability to choose your niche will benefit from electives. Your competitiveness in the job market increases when you are better able to concentrate your skills. Your class schedule can be balanced with electives. You are exposed to topics that you may not otherwise encounter through electives.
To learn more about elective classes visit:
https://brainly.com/question/2880374
#SPJ1
This year, a company consumed 30 percent
fewer sheets of paper than it did last year. If the
company used 270,000 sheets of paper this year,
approximately how many sheets did it use last
year?
A) 351,000
B) 362,000
C) 378,000
D) 386,000
Answer:
Explanation:
Sheet used this year = 270,000
Sheet used last year = 270,000 + 270,000*30% = 270,000 + 81,000 = 351,000
what do you call a cow with no legs?
ground beef get it
Answer:
lol
Explanation:
Haha hahahhhahahhaha
Answer:
That is hilarious
Explanation:
ahahaha, made my day
Students were comparing different phases of the life cycle of an average star. Which student accurately identifies a connection between a main sequence and white dwarf star?
Group of answer choices
A. A star will either be a main sequence star or a white dwarf, it will not experience both phases.
B. A star will be in its main sequence for the majority of its existence, and it will be a white dwarf when it is dying.
C. A star will be a white dwarf for the majority of its existence, and it will be a main sequence star when it is dying.
D. A star is dimmest when it is in its main sequence and brightest when it is a white dwarf
The student who accurately identifies a connection between a main sequence and white dwarf star is B. According to this student, a star will be in its main sequence for the majority of its existence, and it will become a white dwarf when it is dying.
Let's break it down step-by-step to better understand this connection.
1. The main sequence is the longest phase in the life cycle of a star. It is a stable phase where a star fuses hydrogen into helium in its core, releasing energy and shining brightly.
2. As a star exhausts its hydrogen fuel in the core, it starts to evolve. It expands and becomes a red giant or supergiant, depending on its mass.
3. Eventually, the outer layers of the red giant are expelled, leaving behind a dense core called a white dwarf. This core is made up of mostly carbon and oxygen, with a mass similar to the original star but packed into a smaller volume.
4. The white dwarf is not actively fusing elements like the main sequence star. Instead, it slowly cools and fades over billions of years, eventually becoming a cold black dwarf.
In summary, the main sequence is the phase where a star spends most of its life, fusing hydrogen into helium. When it runs out of hydrogen, it expands into a red giant and then sheds its outer layers to become a white dwarf. The white dwarf is the remnant of the star's core and represents the final stage of its life.
To know more about dwarf star visit:-
https://brainly.com/question/29183349
#SPJ11
Consider the following figure ABDC with diagonal BC. Sides AB and DC are congruent angle A is congruent to angle D and sides AC and DB are congruent
Quadrilateral ABCD is both a parallelogram and a rhombus.
The figure ABDC with diagonal BC, with the congruent sides AB and DC, angle A is congruent to angle D, and sides AC and DB are congruent is a parallelogram. This is based on the definition of a parallelogram which is a quadrilateral with opposite sides that are parallel and congruent to each other.
Also, opposite angles of a parallelogram are congruent. Therefore, angle A and angle C are congruent. Additionally, angle B and angle D are also congruent because they are opposite angles of a parallelogram.The diagonal of a parallelogram cuts it into two congruent triangles.
Triangle ABD and triangle CBD are congruent triangles, since their sides are congruent, and angles A and D, and angles B and C, are congruent by the given information.
Therefore, their included angles ABD and CBD are also congruent. Because their opposite sides are congruent, quadrilateral ABCD is a rhombus. A rhombus is a parallelogram with all sides congruent. This implies that sides AB, BC, CD, and DA are all equal.
In conclusion, quadrilateral ABCD is both a parallelogram and a rhombus.
For more such questions on parallelogram, click on:
https://brainly.com/question/3050890
#SPJ8
why wont anybody answer any of my questions ever!
Answer:
Try to give more points.
Explanation:
Find the probability of getting 6 or more girls in 8 births.
Answer:
The probability of getting a girl is 12 . The probability of getting 6 girls is therefore (12)6 . Since we have 6 girls, we also need to find the probability of getting 2 boys, which is (12)2 . There are (86)=28 ways to get 6 girls out of 8 children.
Explanation:
Answer:
Explanation:
P(X > 6) = ?
P(X > 6) = P(X = 6) + P(X = 7) + P(X = 8)
P(X > 6) = 0.118 + 0.035 + 0.004
P(X > 6) = 0.157
Thus the probability of getting 6 or more girls in 8 births is 0.157
effect of fertilizer on bean plants
Answer:
D: "The trend in the data for trial 1 shows that plants grow taller if given more fertilizer."
Explanation:
Trial 1 indicates that plants increase in height when given more fertilizer.
Is it risky to go to NASA at the age of 16?
Answer: Follow your dreams
Explanation: (Google Search )
There are no age restrictions for the NASA Astronaut Corps. Astronaut candidates have ranged between the ages of 26 and 46, with the average age being 34. Candidates must be U.S. citizens to apply for the program. There are three broad categories of qualifications: education, work experience, and medical
Answer:
Yes
Explanation:
You could be more exposed to the risks of radiation and sickness
How do mosses help succession
Answer: As mosses or lichens die, their remains decompose and are added back to the soil. The soil is then able to support a greater variety of plant life because it has been enriched with more nutrients.
Answer:
Mosses and lichens help to form soil by being the first organisms to appear on a bare rock during primary succession. While mosses are plants, lichens are a mutualistic combination of fungus and algae. Mosses and lichens break down the rock by releasing organic acids that disintegrate rock over time.
Hope it helped! :)
HELPPPP me please quick
Distributive property
Combine like terms
I don't know the rest
someone please help me with this!!!
Answer:
50 and 50
Explanation:
2 halfs make a whole
A back and forth motion causing particles to move close together generates a _____. Can you please solve this bec I’m well confused
What would be similar about a stage and a film interpretation of this scene? viewers would have to infer the emotions and motivations of ben and regina. viewers would have to envision the physical descriptions of ben and regina. viewers would have to imagine the few props being used by ben and regina. viewers would have to visualize the actions and movements of ben and regina.
A similar point about a stage and a film interpretation of this scene is that viewers would have to infer the emotions and motivations of ben and Regina.
What is film interpretation?Film Interpretation is known to be ways one give a meaning to any film and it is one that examine the worth of that film.
Note that in the case above, A similar point about a stage and a film interpretation of this scene is that viewers would have to infer the emotions and motivations of ben and Regina.
Learn more about film interpretation from
https://brainly.com/question/9147729
#SPJ1
04.02 Comparing Functions
i need help asap yall
Answer:
1. -10
2. -1
3. -3
Solve this please help me as soon as possible
Answer:
Option C is your Legit answer.
It is equivalent to (3x + 3)².
OPTION C
Tomas wrote the equation y = 3x +y equals 3 x plus startfraction 3 over 4 endfraction.. when sandra wrote her equation, they discovered that her equation had all the same solutions as tomas’s equation. which equation could be sandra’s?
The equation which could be Sandra’s equation from the given options is y = 3/4 + 3x
How to write and solve equation?Tomas equation;
y = 3x + 3/4
check all that applies:
y = 6x + 3/2
not the same
y = -6x + 3/2
not the same
-6x + 2y = 3/2
2y = 3/2 + 6x
y = (3/2+6x) / 2
y = 3/4 + 3x
Equal
The complete question:
Tomas wrote the equation y = 3x +3/4. When Sandra wrote her equation, they discovered that her equation had all the same solutions as Tomas’s equation. Which equation could be Sandra’s?
–6x + y = 3/2
6x + y = 3/2
–6x + 2y = 3/2
6x + 2y = 3/2
Learn more about equation:
https://brainly.com/question/2972832