The balance in the account after 7 years will be approximately $2,747.70.
How did we get the value?To calculate the balance in the account after 7 years with a principal of $2,400 earning 2% interest compounded annually, you can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future balance
P = the principal amount ($2,400)
r = the annual interest rate (2% or 0.02 as a decimal)
n = the number of times the interest is compounded per year (annually, so n = 1)
t = the number of years (7 years)
Plug these values into the formula:
A = 2400(1 + 0.02/1)^(1*7)
A = 2400(1 + 0.02)⁷
A = 2400(1.02)⁷
A = 2400(1.144877)
A ≈ $2,747.70
So, the balance in the account after 7 years will be approximately $2,747.70.
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Graciela is working to earn 200$ . she earns 25$ mowing her grandmas lawn and 60$ for a day of housecleaning what decimal represents the part of money graciela still needs to earn
Need help to write equations for 5, 6 & 7
The english alphabet contains 21 consonants and five vowels. how many strings of six letters, each of which is drawn from the english alphabet, contain (a) exactly one vowel?
tan 49 = x/400
please solve
Use 3.14 for pi. Round your answer to the nearest hundredth.
The calculated area of the shape is 50.24 square units
Finding the area of the shape.
From the question, we have the following parameters that can be used in our computation:
The shape
The area of the shape is calculated as
Area = 1/4πr²
Where
Radius, r = 8
Substitute the known values into the equation
Area = 1/4π * 8²
Evaluate
Area = 16π
So, we have
Area = 16 * 3.14
Evaluate
Area = 50.24
Hence, the area of the shape is 50.24 square units
Question
Find the area of the shape.
Use 3.14 for pi. Round your answer to the nearest hundredth.
Jenny has a rope that is 7 1/2 She wants to cut it into pieces that are 3/4of a foot long.
How many pieces of rope will Jenny get?
5 5/8
8
10
1/10
Jenny will get 5 pieces of rope.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
To find out how many pieces of rope Jenny will get, we need to divide the total length of the rope by the length of each piece:
Total length of the rope = 7 1/2 = 15/2
Length of each piece = 3/4
Number of pieces = (15/2) ÷ (3/4)
We can simplify this expression by dividing the numerator and denominator of the left-hand side by 2:
Number of pieces = (15/2) × (4/3)
Number of pieces = 30/6
Number of pieces = 5
Therefore, Jenny will get 5 pieces of rope.
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I need help please help me!!
In a circle, a 225 degrees sector has area 490pi in2. What is the radius of the circle?
2. A cube-shaped aquarium has edges that are 3 ft long. The aquarium is filled with water that has a density of 62 lb/ft^3
(a) Should the aquarium be placed on a table that can support a maximum weight of 200 lb? Explain why or why not.
(b) Would the density of the water change if the aquarium was only half full? Explain. Answer:
(a)
3*3*3=27
27*62=1674
Your answer: 1674
(b)
No, no matter how much water there is, the density will never change.
2/5x = -3/15 + 1/x
x=0
x=15
x=5
x=3
Answer:
x = 3
Step-by-step explanation:
[tex]\dfrac{2}{5x}=-\dfrac{3}{15}+\dfrac{1}{x}\\\\\dfrac{1}{5}=\dfrac{5-2}{5x}\qquad\text{add $\frac{3}{15}-\frac{2}{5x}$}\\\\x=3\qquad\text{multiply by 5x}[/tex]
What is the following quotient?
3^√60
------------
3^√20
Answer:
its 3√3 bud
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the equation of the line whose y-intercept is 3 and slope is 1?
y=x-3
y=x+3
y=3x+1
What is the range of the data set
2 | 1, 3, 8, 8
5 | 2, 4, 6, 6, 7
6 | 0, 1, 1
Key: 6| 0 means 60 please help i do not get this plz solve
Suppose y varies directly with x and y=-25 when x=5. find y when x=3
Final answer:
To solve for y when x = 3, we first determined the constant of proportionality (k) using the given values (y = -25 when x = 5). With k found to be -5, we then calculated y for x = 3 to find that y = -15.
Explanation:
The question asks us to find the value of y when x = 3 given that y varies directly with x and that y = -25 when x = 5. Because y is directly proportional to x, we can write the relationship as y = kx, where k is the constant of proportionality.
First, we solve for k:
Set up the equation based on the given information: y = kx
Substitute the known values: -25 = k(5)
Solve for k: k = -25 / 5 = -5.
Now that we have found k, we can use it to find y when x = 3:
Use the determined value of k: y = -5(3)
Multiply to find y: y = -15.
Therefore, when x = 3, y is -15.
If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.
the value 5 is a an upper bound for the zeros of the function shown below f(x)=x^4+x^3-11x^2-9x+18
A. TRUE
B. FALSE
Answer:
Answer to this question is TRUE.
Step-by-step explanation:
The graph of the function:
[tex]f(x)=x^4+x^3-11x^2-9x+18[/tex] is attached to the answer.
Clearly by looking at the graph we could see that the zeros of the function f(x) are -3, -2, 1 and 3.
All the zeros are distinct.
" Also upper bound of a number 'p' means the set of all those numbers which are greater than 'p' ".
Here 5 will be an upper bound for the zeros of the function f(x) since all the 4 zeros of f(x) are less than 5.
Hence, the given statement that the value 5 is an upper bound for the zeros of the function f(x) is TRUE.
Answer:
true
Step-by-step explanation:
Three different bags of pretzels are sold at the store. which bag of pretzels is the best buy? bag a:10 ounces for $1.10 bag b:12 ounces for $1.38 bag
c.6 ounces for $0.84
The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2). After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1). Are the two images similar? Justify your answer.
A) no; The transformation is not rigid; therefore, the quadrilaterals are not similar.
B) no; The transformation is a translation which only results in the size of the quadrilaterals being preserved.
C) yes; This is a rigid transformation which preserves angle measurement and size of the original quadrilateral.
D) yes; The transformation is a dilation which results in similar quadrilaterals by preserving angle measurements.
The answer would be D) yes; The transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2).
After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1).
As we know that dilation is a process for creating similar figures by changing the size.
This means that the two images are similar, as they have the same shape and size, despite having different positions and orientations in the coordinate plane.
Hence, the given transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.
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What is the lateral area of the prism? Assume the figure is resting on its base.
Last week christi spent 2 3/4 hours playing piano this week she spent 3 2/4 hours playing the piano how much more time did she play the piano this week
It’s 3/4 hours which is 40 mins how I did this was I did that then I finished BOOM DONE KID
NEED HELP PLEASE I BEG!!!!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.
What is the survey’s margin of error?
Enter your answer in the box. ± ___ %
The answer goes on the underscores
Final answer:
The margin of error for the survey, given a range between 76% and 84% satisfaction for seat locations, is calculated to be ±4%.
Explanation:
The margin of error in a survey indicates how much the survey results might differ from the actual opinions of the total population.
In this case, the survey indicates a satisfaction range between 76% and 84% for seat locations among season ticket holders.
The margin of error is half of the width of the range, which is the difference between the upper and lower percentage bounds of the confidence interval divided by two.
To calculate the margin of error, subtract the lower percentage (76%) from the upper percentage (84%) and then divide by 2. That is, (84 - 76) / 2 = 8 / 2 = 4.
Thus, the margin of error for the survey is ±4%.
14) Jillian has $50 that she plans on investing in an account that will double her money every week. This can be represented by the equation M = 50(2)x where M represents the amount of money she has and x represents the number of weeks that have passed. Her uncle Charlie gives her a gift of $400 so she decides to start her investement with that money plus the $50 she already had. What should be changed in the equation M = 50(2)x to represent the new situation?
8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c
9.Use quadratic formula to solve. 4x^2+7x-15=0
10.Find the number of real number solutions using the discrimination. x^2+4x-32=0
Please help these are my final questions and I need help with them
Expenses that are bi-weekly are paid twice a week twice a month every two weeks every two months
Answer:
Expenses that are bi-weekly are paid every two weeks.
Step-by-step explanation:
Expenses that are bi-weekly are paid every two weeks.
A bi-weekly pay schedule is the most commonly used pay period by employers. It is also called every other week pay period.
This payment method results in 26 paychecks in a year.
please help asap 45 pts
Solve the equation. 20 = –d + 16
A. 4
B. –10
C. –6
D. –4
The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form.
(Please see attached picture)
8 square units
20 square units
24 square units
28 square units
Using the sample results, estimate the proportion of the entire population that would like to take a cruise to Bermuda.
The common stock of air united had annual returns of 13.7 percent, 4.8 percent, -6.7 percent, and 27.9 percent over the last four years, respectively. what is the standard deviation of these returns?
PLEASE HELP !! URGENT!! ILL MARK THE BRAINLIEST FOR THE CORRECT ANSWER
add or subtract
\frac{x}{x^2-36} -\frac{6}{x^2-36}
Answer:
x + 6; where x ≠ -6, +6
Step-by-step explanation: