You deposit $3000 in an account earning 8% interest compounded monthly. How much will you have in the account in 5 years?
Answers
Answer: $5580
The formula for compound interest is:
A = P(1 + r/n)^nt
where A is the final amount, P is the initial principal (the amount you deposited in the account), r is the annual interest rate (8% in this case), n is the number of times the interest is compounded per year (12 times per year if the interest is compounded monthly), and t is the number of years the money is invested (5 years in this case).
Plugging in the values from the problem, we get:
A = $3000(1 + 0.08/12)^(12*5)
= $3000(1.0067)^60
= $3000*1.86
= $5580
So, after 5 years, you will have $5580 in the account if you deposit $3000 and earn 8% interest compounded monthly.
The value of amount after 5 years is,
⇒ A = $4,380
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.
Given that;
You deposit $3000 in an account earning 8% interest compounded monthly.
Hence, The value of amount after 5 years is,
⇒ A = 3000 [ 1 + 0.08]⁵
⇒ A = 3000 × 1.08⁵
⇒ A = 3000 × 1.46
⇒ A = $4,380
Thus, The value of amount after 5 years is,
⇒ A = $4,380
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Related Questions
Juan always saves 30% of all his earnings. Last month he saved $141. How much did he earn last month?
Answers
Answer:
$470
Step-by-step explanation:
%30 of 470 = $141
Answer: $470
I hope it help
What is the product of 2 over 3y and y?
12 over 3y
2 over 3
2 over 3y
22 over 3y
Answers
The product of 2/3y and y is \(2/3y^2.\)
The product of 2/3y and y can be found by multiplying the numerators and denominators separately.
To multiply the numerators, we multiply 2 and 1 (since y can be written as y/1).
This gives us 2.
To multiply the denominators, we multiply 3y and 1.
This gives us 3y.
Therefore, the product of 2/3y and y is \(2/3y * y =\) \(2/3y^2.\)
In general, when multiplying fractions, we multiply the numerators and the denominators separately.
So, if we have a fraction a/b and another fraction c/d, their product would be ac/bd.
However, in this specific case, the expression can be simplified further.
Since we have y in both the numerator and denominator, they cancel out, leaving us with \(2/3y^2.\)
To summarize, the product of 2/3y and y is \(2/3y^2.\)
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What is five point six as a fraction?
Answers
Answer: 28/5
Step-by-step explanation:
5.6/1x10/10= 56/10
56/10=28/5
can someone help me please
Answers
Answer:
3: 55 degrees
4: 128 degrees
Step-by-step explanation:
A straight line is 180 degrees and so you do 180-125 to get 55 degrees
180-58 is 128 degrees
The area of a rectangle is x^2x -8
whats the dimension of the rectangle?
Answers
Answer:
Step-by-step explanation:
sussy
Rewrite 5 square root 3^4 as an expression with a rational exponent. Then mark this number on the graph of f (x) = 3^x. Explain how you know where to place it.
Answers
Step-by-step explanation:
the nth root of something can be expressed as 1/n as exponent.
e.g. sqrt(2) = 2^(1/2).
so, the 5th root of 3⁴ = 3^(4/5)
for f(x) = 3^x
that means that x = 4/5 = 0.8.
so, I go on the x-axis to the right to 0.8, and from there straight up to the actual curve.
that is the desired point.
Andrew Needs 995 tickets to get the prize he wants At the arcade. He Already has 319 tickets and can earn 4w tickets each time he plays an game. How many games will he have to play in order to have enough tickets to win the prize he wants.
Answers
To win the e prize
if the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?
Answers
Answer:
The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%
For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Simplify the numerical expression.
The expression has a value equal to
Answers
The numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = 67/24 on simplification using the BODMAS rule.
In the question, we are asked to simplify the numerical expression:
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3.
To simplify the expression, we will follow the BODMAS rule, where B means Brackets, O means Of, D means Divide, M means Multiplication, A means Addition, and S means Subtraction.
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3
= 2/3 ÷ 16 + (3/4 + 1/6) ÷ 1/3 {Solving 2⁴ = 16, before proceeding BODMAS}.
= 2/3 ÷ 16 + ((9+2)/12) ÷ 1/3 {Solving Brackets by taking LCM}
= 2/3 ÷ 16 + 11/12 ÷ 1/3 {Simplifying}
= 2/3 * 1/16 + 11/12 * 3/1 {Solving divisions by taking reciprocals}
= 1/24 + 11/4 {Multiplying}
= (1 + 66)/24 {Adding using LCM}
= 67/24 {Simplifying}.
Thus, the numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = 67/24 on simplification using the BODMAS rule.
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The provided question is incomplete. The complete question is:
"Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.
Simplify the numerical expression.
2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3
The expression has a value equal to."
the study of hypnosis and its relationship to hysteria was the starting point for
Answers
The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.
The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.
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A dolphin ia at the surface of the water and then sescends to a depth of 4.5 feet. Then the dolphin swims down another 2.75 feet. What is the location of the dolphin relative to the surface of the water?
Answers
Answer:
-7.25
Step-by-step explanation:
because the dolphin is going down, its negative so you add -4.5+-2.75
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
54 -17 -15
20 15
3 0
4
A. (4x2-17x-15) - (x + 5) = (4x + 3)
B. The number 5 is a root of F(x) = 4x² - 17x - 15.
OC. (4x2-17x-15) - (x - 5) = (4x + 3)
D. (x+5) is a factor of 4x2-17x-15.
E. The number -5 is a root of F(x) = 4x²-17x-15.
OF. (x-5) is a factor of 4x2 - 17x-15.
Answers
The correct statements about the synthetic division are C, D, F.
How to illustrate the information?It should be noted that 4x² - 17x - 15 will be:
= 4x² - 20x - 3x - 15
= (x - 5)(4x + 3)
The roots of the polynomial will be:
= f(x) = 0
(x - 5) = 0
x = 5
4x + 3 = 0
x = -3/4
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Find the surface area of the square pyramid shown below.
Answers
Answer:
160 square units
Step-by-step explanation:
8^2 = 64
1/2 * 6 * 8 = 24
4 sides * 24 = 96
96 + 64 = 160
Mr. edwards loves collecting mason jars
He's currently has 40 mason jars, and gets 5
more each week
as whats an equation for this situation?
b.) How many mason jars will he have
after 7 more weels?
c.) How many weells will it take for
him to reach 100 mason jars?
Answers
Answer:
A. 40+5y=x, y being weeks and x being Masson jars
B. 75 (75=40 + 7*5)
C. 12 (12=40 + 12*5)
Step-by-step explanation:
Answer:
Within 7 weeks Mr. Edwards will no longer have 40 mason jars, he will have 75. It will take 12 weeks for Mr. Edwards to reach 100 mason jars.
Step-by-step explanation:
For the first question, I said he'd have 75 because if you count up by fives 7 times starting at 40 you reach 75. If you continue to count by fives and count the amount of weeks it takes 12 weeks to reach 100. (If am wrong, please correct me, thank you!)
For the high school's production of "Grease," 315 tickets were sold. The cost of a student ticket, s, was $5; the cost of all other tickets, t, was $8. The total income from ticket sales equaled $2211. The system of equations below can be used to determine the number of each type of ticket sold. s+t=315 55 + 8 = 2211 How many student tickets were sold?
Answers
Answer:
103 students tickets were sold
Step-by-step explanation:
103 times $5 = $515
212 times $8 = $1696
$515 + $1696 = $2211
(b) Given the matrix D = k 0 0 3 k² k³ 0 kª k³ kº k k k 0 0 0 k¹⁰ Find all possible value(s) of k if det(D) = 1024."
Answers
To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.
Given matrix D:
D = | k 0 0 |
| 3 k² k³ |
| 0 kª k³ kº |
| k k k |
| 0 0 0 |
| k¹⁰ |
The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
- 0(det | 3 k² k³ |
| 0 kª k³ |
| k k k |)
+ 0(det | 3 k² k³ |
| k k k |
| k k k |)
Simplifying further, we have:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
Now, we can calculate the determinant of the 3x3 submatrix:
det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |
This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:
det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº
Now, we can set det(D) equal to 1024 and solve for k:
k⁴+kº = 1024
Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.
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A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please
Answers
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
\(\mathbf{7x^3+3.5x^2}\);
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e
\(\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}\)
Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
On a recent day,8euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros. The equation is y=? NEED HELP!!!! Hey
Answers
Y= 1.375x
Answer:
1.3
Step-by-step explanation:
Question: On a recent day,8 euros were worth $11 and 32 euros were worth $44 .Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.
Notes:
8 euro= $1132 euro= $44Need: Enter an equation of the form Y = KX To show the relationship between the number of euros and value in dollars.let y be the value in dollars and x be the numbers of euros.
In Y = K X
| |
| numbers of euros.
value in dollars
Our first number: 8 euro = $11
Y=11
X=8
Then Convert:
11=K8
11=K*8 ---> 8*K=11
8K=11
11/8= 1.3
K=1.3
From your not so smart brainly user
Helppppp pleaseeee :))
Answers
Answer:
d.11-x<-18
put the value of x in inequality and identify.
If the value of y varies directly with x,which function represents the relationship between x and y when y=16/5 and x=20?
A.y=25/4x
B.y=116/5x
C.y=4/25x
D.y=64x
Answers
IM GIVING 31 POINTS AND YOU WILL GET ALL IF YOU ANSWE AND WHEN I PICK YOU AS BRAINLIEST
Juanita is converting 7 meters to inches. Will the number of inches be less than or greater than 7? choose one of these answers below
The number of inches will be less than 7 because 7 is a small number.
The number of inches will be greater than 7 because 7 is a small number.
The number of inches will be less than 7 because inches are smaller than meters.
The number of inches will be greater than 7 because inches are smaller than meters.
Answers
Answer:
The number of inches will be greater than 7 because inches are smaller than meters.
Step-by-step explanation:
Step-by-step explanation:
1 inch is around 2.54cm, which is a lot less than 1 meter.
Since inches are a smaller unit than meters, the number of inches will be greater than 7 to have the same equivalent length.
"The number of inches will be greater than 7 because inches are smaller than meters" is correct.
A big cube with a side length of 30cm is cut into 27 small cubes of same size.
1. Find the length of the side of each small cube
2. Find the area of the top surface of each small cube
Answers
Length of the side of each small cube = 10cm
Area of the top surface of each small cube = 100cm²
Step-by-step explanation:Big cube volume = s³
Big cube volume = 30³
Big cube volume = 27000cm³
Small cube volume = 27000 / 27
Small cube volume = 1000cm³
Small cube length = ∛1000
Small cube length = 10cm
Area of the top surface of each small cube = s x s
Area of the top surface of each small cube = 10 x 10
Area of the top surface of each small cube = 100cm²
Answer:
2. find the area of the top surface of each small cube
What is the best first step in solving the equation below.
3x - 5 = 75 + 11
A Add 11 to both sides
B Divide by 7x on both sides
C Subtract 3x on both sides
D Add 3x to both sides
Answers
Answer:
It’s C
Step-by-step explanation:
what is 10% of 125???
Answers
Answer: 10% of 125 is 12.5
Answer:12.5
Step-by-step explanation:
Divide 125 by 10%. 125 divided by 10% is 12.5.
Ernesto measured the height of a door frame as 6.35 feet, but the actual height was 6.5 feet. What is the percentage of error in Ernesto's measurement? (5 points)
a
2.31%
b
1.98%
c
2.36%
d
2.02%
Answers
Answer:
A or B
Step-by-step explanation:
sry if im wrong-happy new year!
What is the length of the hypotenuse?
Answers
Answer:
15 feet
Step-by-step explanation:
In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
Answers
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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express 2 millimetre centimetre using decimal
Answers
CAN SOMEONE PLEASE HELP ME??
Answers
Answer:
3,-2 5,-3 2,1
Step-by-step explanation:
all the points in the shaded region are the right answer
What is the Lcm of 168?
Answers
Answer:
6
Step-by-step explanation: