find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7
Answers
Answer:
A = $19,908.59
Step-by-step explanation:
Compound Interest
Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
k = number of times interest applied per time period
t = number of time periods elapsed
We are given the following data:
P = $12,000
r = 7.5% = 7.5/100 = 0.075
t = 7
k = 1 since there is only on compounding per year.
Applying the formula:
[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]
[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]
A = $19,908.59
Related Questions
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices
Answers
Answer: There are 990 croissants
Step-by-step explanation:
If 45% of them are pretzels then 55% of the pastries hs to be croissants.
Multiply 55% by the total number of pastries to find the number of croissants.
55% * 1,800 = 990
The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?
Answers
Answer:
22.5 feet
Step-by-step explanation:
set up a proportion, then cross-multiply
18/20 = x/25 or 18/x = 20/25
The height of the tree is 22.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.
Here we need to find the height of the tree,
We will use the concept of the similar triangles to find the same,
Let the height of the tree be x
So. according to the definition of similar triangles,
18 / 20 = x / 25
x = 45 / 2
x = 22.5
Hence, the height of the tree is 22.5 ft
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A university has 55% student girls and 45% boys. A student is chosen at random to take a test. The test for boys has 25 questions and the one for girls has 30 questions. Let X be the random variable, which represents the number of questions to which the selected student answered correctly. Describe the distribution table for X, and calculate the mean and dispersion.
Answers
Need help with this one :) it’s math
Answers
Answer: Point B
Step-by-step explanation:
B is above the x axis which makes it positive, but it is to the left of the y axis which makes it negative
Answer:
B
Step-by-step explanation:
x horizontal y vertical
2+2+2+2+2+2+2+2+2
I know the answer just want to be nice and give someone brainlest cAuse never did before
Answers
Answer:
18
Step-by-step explanation:
Thanks! Have a great day!
Answer if u know PLS
Answers
Answer: Fourth Option: |-23.6|
Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.
I hope this helps, and Happy Holidays! :)
Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)
Answers
Answer:
so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract
Step-by-step explanation:
7/4 fraction in lowest term
Answers
A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.
x > 70 and y 70
70 < x < 105 and 0 < y ≤ 60
Answers
Answer:
70 < x < 105 and 0 < y ≤ 60
Step-by-step explanation:
The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given:
The Range of temperature is between 70 and 105 degrees.
So, x lies between these two temperatures so x must be greater than 70 degrees but less than 105 degrees.
Therefore, x > 70and x < 105.
On combining these two inequalities we get,
70 < x < 105
Now, number of people that can come for the trip is 60.
y represents the number of people for the trip. So, y can be at most 60.
Or, y ≤ 60 must be less than or equal to 60 and is given as:
Hence, the constraints are:
70 < x < 105 and 0 < y ≤ 60
The constraints that represent this real-world problem are; 70 < x < 105 and 0 < y ≤ 60 where x is the temperature and y is the number of people on your trip.
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Which iWhich expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 + 4x 2x – 10 + 5x + 4s equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answers
Answer:
A
Step-by-step explanation:
A drawer contains 12 identical white socks, 18 identical black socks
and 14 identical brown socks. What is the least number of socks you
must choose, without looking, to be certain that you have chosen two socks of the same colour?
Answers
Answer:
2 brown
Step-by-step explanation:
The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:
Total number of socks = 12 white socks + 18 black socks + 2 brown socks
Total number of socks = 32 socks
A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.
The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.
What is least number?The least number is "the smallest or lowest number or degree".
According to the question,
A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.
In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.
Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.
Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.
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5. What type of set is G?
G={liquids, solids, gases, plasmas}
A. Empty
B. Unit
C. Finite
D. Infinite
Answers
——————————-
Hope this helps :p
suppose the lowest elevation to which the submarine shown has been tested is -490 meters. if it is currently at an elevation of -125 meters, how many meters more can it dive without going below the lowest elevation tested? pls answer quickly
Answers
Answer:
365 more meters
Step-by-step explanation:
490-125=365
find sq.root of 19.537 by division method?
Answers
Answer:
4.42 is the answer........
Step-by-step explanation:
Im not sure
Which of the following is an arithmetic sequence?
O A. 2, 4, 16, 32,
O B. 5,-5, 5, -5,..
OC. 2,3, 7, 1, ..
OD. 3, 0, -3, -6
Answers
Answer:
D
Step-by-step explanation:
because it has a varying and uniform difference of -3
Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
Answers
Answer:
10 days
Step-by-step explanation:
Write an equation where both sides equal the same thing, using x as the variable for the amount of days
100-3x=20+5x
100-20=3x+5x
80=8x
x=10
The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate the rectangle 180° about the origin. What are the coordinates of the image?
Answers
Answer:
A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)
Step-by-step explanation:
I did FLVS (Online School stuffs)
ANSWER ASAP PLEASE
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 201 inches?
Answers
Step-by-step explanation:
5.1054 meters
I think you should round the number tho
A restaurant surveyed consumers to determine if they like hot or cold beverages for breakfast. 60 consumers like hot beverages, and 40 like cold beverages, and 12 neither, how many consumers were surveyed
Answers
Answer:
112
Step-by-step explanation:
You just have to add all of those numbers
60 +40 =100
100 + 12= 112.
Answer:
92 people
Step-by-step explanation:
Since there is 20 people who liked both hot and cold beverages, we can subtract from the people who like hot beverages and people who like cold beverages to find the people who ONLY like hot beverages and the people who ONLY like cold beverages.
People who only like cold beverages:
40 - 20 = 20
People who only like hot beverages:
60 - 20 = 40
Summing it all up:
40 + 20 + 20 + 12 = 92 people total
I hope this helps! :)
The ordered pair for the equation x - 2y = 14 is:
0 (0,7).
O (7,2).
0 (0,-7).
Answers
-12 -9 (t-3) = 78
t=?
Answers
Answer:
equals -43
Step-by-step explanation:
Multiply -9 by t and -3 so:
-9(t-3)
-9t + 27
Now add that back to the equation:
-12 -9t +27 = 78
Now combine -12 and 27:
-12-9t +27 =78
15 -9t = 78
Since 15 is positive ( there is no - sign), we need to subtract 78 by 15:
15 -9t = 78
-15 -15
We subtracted and not added because the opposite of addition is subtraction. Now, we have:
-9t = 63
To find t, we need to divide -9t because we are trying to get t to be alone, so:
-9t = 63
————-
-9t -9t
So now, we have:
t= -7
We have a positive t because a negative divided by a negative is equal to a positive.
So, the answer is :
t = -7
Hope this helps, and would you please rank this brainiest?
How to solve this problem
Answers
Answer:
Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Step-by-step explanation:
We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i
Prime factors of 81 are: 3x3x3x3
and [tex]\sqrt{-1}=i[/tex]
Solving:
[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]
So, Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Which of the following is a solution of z^5 = 1 + √3i?
Help much needed! Thank you
Answers
[tex] \sqrt[5]{2} [/tex]
=cos12°+isin12° is your answer
What is the value of x in the equation 0.75x+3=6(x-3)?
Answers
Answer:
x = 4
Step-by-step explanation:
Given
0.75x + 3 = 6(x - 3) ← distribute
0.75x + 3 = 6x - 18 ( subtract 0.75x from both sides )
3 = 5.25x - 18 ( add 18 to both sides )
21 = 5.25x ( divide both sides by 5.25 )
4 = x
Write the word or phrase that best completes each statement or answers the question.
Answers
Identify the errors made in finding the inverse of
y = x2 + 12x.
x= y2 + 12x
y2 = x - 12x
y2=-11x
y=-11x, for x > 0
Describe the three errors?
Answers
Step-by-step explanation:
y = x2 + 12x.
x= y2 + 12x would also be 12 y
y2 = x - 12x would be -x
y2=-11x
y=[tex]\sqrt{-11x}[/tex], for x > 0 negative square root not possible
Describe the three errors?
The three errors made in finding the inverse of y = x² + 12x are,
⇒ First mistake to write 12y in place of 12x.
⇒ Second mistake to write the expression y² = x - 12x.
⇒ Third mistake because it never possible negative square root for x > 0.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = x² + 12x
Here, The process are,
⇒ y = x² + 12x.
⇒ x = y² + 12x
There is first mistake to write 12y in place of 12x.
⇒ y² = x - 12x
There is second mistake.
⇒ y² = -11x
⇒ y = √-11x, for x > 0
There is third mistake because it never possible negative square root for x > 0.
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The lines A and B are parallel. Identify a pair of corresponding angles?
Answers
Answer:
2 and 5............................
Answer:
Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)
Step-by-step explanation:
Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.
Plz Help! Will give Brainliest!!!
Kennan graphed the location of several places in his town on the coordinate plane shown below. Determine if each statement about Kennan's graph is true or false. True False The library is 555 units from the yyy-axis. The school is located at (0,6)(0,6)left parenthesis, 0, comma, 6, right parenthesis.
Answers
Answer:
Concept: Graph Analysis
The library is 5 units to the left from the y-axis hence the statement is TrueThe School is not located at (0,6) it is located at (6,0) hence the statement is FalseI need help please I am having hard time doing this
Answers
Answer:you are corect its negetive
Step-by-step explanation:
8. A soccer player has a penalty kick to scoring ratio of 5:2. How many penalty kicks does he get if he
scores 18 times?
Answers
Answer:
30
Step-by-step explanation:
18÷2=6 so you would have to multiply the 5 by 6 to get an even ratio