Can someone please check if this is right or not, and if it’s wrong, could you please explain why it’s wrong?
Answers
The division of the value 3/8 given the remainder as 0 and the quotient as 0.375. Hence, the answer is correct.
What is long division?Long division uses the conventional process to divide two integers by iteratively adding and subtracting. When the divisor is a multi-digit number, it is used in mathematics to determine the quotient and remainder of a division problem.
As part of the long division algorithm, the dividend is divided by the first digit of the divisor, the quotient is multiplied by the divisor, the result is subtracted from the dividend, and the procedure is then repeated with the next digit of the dividend.
The division of 3/8 can be given as follows:
0.375 | 3.000
2.5
---
0.50
4
---
20
16
---
40
40
---
0
Learn more about long division here:
https://brainly.com/question/13625284
#SPJ1
Related Questions
What does PEMDAS stand for? Then, solve with pemdas in order -> 3 x 2 +( 4 - 1) = ??
Answers
Answer:
PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.
Step-by-step explanation: -> 3 x 2 +( 4 - 1) = ??
always when you see these in your equation you always start with these>>>(4-1=3) then 3x2=6 then you add that then you get 9
9 is your answer hope this helps
Answer:
The answer is 9.
Step-by-step explanation:
PEDMAS stands for :
\(\purple\star\) P = Parentheses \(\purple\star\) E = Exponents \(\purple\star\) M = Multiplication \(\purple\star\) D = Division \(\purple\star\) A = Addition \(\purple\star\) S = SubtractionTo solve the given equation we will follow the PEDMAS rule.
\(\begin{gathered}\qquad{\twoheadrightarrow{\sf{3 \times 2 + (4 - 1)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{3 \times 2 + (3)}}} \\ \\ \qquad{\twoheadrightarrow{\sf{3 \times 2 + 3}}} \\ \\ \qquad{\twoheadrightarrow{\sf{6+ 3}}} \\ \\ \qquad{\twoheadrightarrow{\sf{9}}} \\ \\ \qquad{\star\underline{\boxed{\tt \pink{ \: 9 \: }}}}\end{gathered}\)
Hence, the answer is 9.
\(\rule{300}{2.5}\)
Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answers
Answer: This is the answer. please give me the brainliest. Thanks
A triangular pane of glass has a height of 32 inches and an area of 352 square inches. What is the length of the base of the pane?
Answers
The required length of the base of the triangular pane of glass is 22 inches.
We know that the formula for the area of a triangle is:
Area = 1/2 * base * height
We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:
352 = 1/2 * base * 32
Multiplying both sides by 2 and dividing by 32, we get:
base = 22
Therefore, the length of the base of the triangular pane of glass is 22 inches.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answers
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
please help please...
Answers
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
Learn more about transformation here: https://brainly.com/question/18065245
#SPJ1
Consider the following natural language sentence: If you see a penny, pick it up, all day long you'll have good luck. Which answer is a translation of this natural language sentence into formal logic? a.) S = You see a penny. P = You pick the penny up. G = All day long you'll have good luck. (SAP) ➡ G
Answers
The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.
In formal logic, we often use symbolic notation to represent statements and their logical relationships.
In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.
The translation provided uses three variables:
S represents the statement "You see a penny."
P represents the statement "You pick the penny up."
G represents the statement "All day long you'll have good luck."
The arrow (➡) is a logical connective that represents implication.
It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).
To learn more on translation click:
https://brainly.com/question/31096294
#SPJ1
f(x)=-1/2x+3. G is a quadratic function with the following properties: g has lesser y-intercept than f; the maximum value of g and y-intercept are not equal; first g increases and the it decreases. Graph function g
Answers
The equation is \(g(x) = -\frac{1}{16} (x - 1)^2 + 2\) Graphing this equation below, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
Define the term graph?To demonstrate the connection between the two variables, a line or curve is drawn between the plotted points.
To graph function g, we need to find its equation that satisfies the given properties. We know that the y-intercept of g is less than that of f, so we can choose it to be 1. Also, the parabola of g opens downwards and its vertex is between the two x-intercepts, which are at x = -2 and x = 4. We can use these points to find the equation of the parabola in the standard form: g(x) = a(x - h)² + k. Using the fact that g(0) = 1 and the x-intercepts, we can solve for a, h, and k. The resulting equation is:
\(g(x) = -\frac{1}{16} (x - 1)^2 + 2\)
Graphing this equation, we get a parabola that opens downwards and intersects the x-axis at x = -2 and x = 4, with a vertex at (1, 2).
To know more about graph, visit:
https://brainly.com/question/11803331
#SPJ1
A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Answers
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
For more such questions on area:
https://brainly.com/question/2607596
#SPJ8
The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Answers
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !
I will give you the brainliest!!! And 25 points!!!!
Someone solve this for me with explanation please. I need help
Answers
The perimeter of the given triangle with given lengths is; 78
What is the perimeter of the triangle?The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.
Now, we are given the triangle as QRS.
We are given that;
A is the midpoint of QR
B is the midpoint of RS
C is the midpoint of SQ
Thus;
QA = RA = 10
BR = SB = 15
SQ = 28
Thus;
Perimeter of Triangle = 2(10) + 2(15) + 28 = 78
Read more about Perimeter of triangle at; https://brainly.com/question/24382052
#SPJ1
AAAAAAAAAAAAAAAAAAHHHHHHHHHHHH
Answers
Answer:
-216
Step-by-step explanation:
I think
brainlist plz
Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
Answers
The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
According to the statement,
if B bisects AC ⇒ AB = BC
then, B is the midpoint.
The inverse of this will be-
if B is the midpoint of AB ⇒ AB = BC
then, B bisects AB
This can be written as-
If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
Thus, option 3 is the correct answer.
Learn more about bisectors here-
https://brainly.com/question/11006922
#SPJ9
Your question was incomplete. Check below for full content-
Which statement is the contrapositive of the conditional statement:
Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.
2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.
3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.
grade 11 2022 June common test mathematics memorandum?
Answers
Note that the roots of the equation Unequal and rational (Option D)
How is this so ?The roots of the equation (x - 3)² = 4 can be found by taking the square root of both sidesof the equation.
x - 3 = ±√4
⇒ x - 3 = ±2
Solve for x
For the positive square root.
x - 3 = 2
x = 2 + 3
x = 5
For the negative square root.
x - 3 = -2
x = -2 + 3
x = 1
Since the equation has two roots, x = 5 and x = 1. These roots are unequal and rational. (Option D)
Learn more about roots of equation at:
https://brainly.com/question/30090611
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question:
The roots of the equation (x - 3)² = 4 are
A.Unequal and irrational.
B.Equal and rational.
C. Equal and irrational.
D. Unequal and rational.
Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Answers
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
First, let's remove the parentheses:
4mn^2 - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Next, let's combine like terms by adding or subtracting coefficients of the same variables:
(4mn^2 + 6mn^2 - mn^2) + (-2mn - 9mn) + (6 + 2 - 1)
Simplifying further:
9mn^2 - 11mn + 7
So, the coefficients for each term are:
9, -11, 7
Armando has a credit card that uses the adjusted balance method. For the
first 10 days of one of his 30-day billing cycles, his balance was $2500. He
then made a payment of $1600, so his balance decreased to $900, and it
remained that amount for the next 10 days. Armando then made a purchase
for $1300, so his balance for the last 10 days of the billing cycle was $2200. If
his credit card's APR is 33%, how much was Armando charged in interest for
the billing cycle?
A. $59.67
B. $67.81
C. $24.41
D. $35.26
Answers
Answer:
The Answer is $24.41
Step-by-step explanation:
I just took the test
what is 8.25 x 10 to the 5th power written in standard notation
Answers
Answer:
825,000
you move the decimal to the right 5 times.
Compare using >, <, or =
544 and 579
Answers
Answer:
579>544
Step-by-step explanation:
579 is greater than 544
Answer:
544<579
Step-by-step explanation:
544 is less than 579. This is because 544 is not more than 579. 579 is the bigger number . < means less than .> means greater than .= means equal to
i dont know how this is even considered college math lol.
Two pedestrians simultaneously left two villages 27 km apart and walked toward each other, meeting after 3 hours. The first pedestrian walked at a speed of 4 km per hour. At what speed (in km per h) did the second pedestrian walk?
Answers
The speed of the second pedestrian is 5 kilometers per hour.
At what speed did the second pedestrian walk?Let's say that the speed of the second pedestrian is S.
We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:
(4km/h + S)*3h = 27km
It says that both pedestrians work, together, a total of 27km in 3 hours.
Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.
4km/h + S = 27km/3h = 9 km/h
S = 9km/h - 4km/h = 5km/h
The speed of the second pedestrian is 5 kilometers per hour.
If you want to learn more about speed:
https://brainly.com/question/4931057
#SPJ1
Which of the linear equations below is derived from the
following table of values?
HELP ME
Answers
Answer:
A. y=x+4
Step-by-step explanation:
I used Desmos to graph all the information and the black line (which is A) goes through all the points. See picture
The area of a rectangle is 20 cm². The height is 4 cm longer than thrice the width.
Find the width of the rectangle.
cm
Answers
Answer:
width = 2 cm
Step-by-step explanation:
are of rectangle is equal to length times width
x is the width, then length is 3x + 4
so x(3x + 4) = 20
3x^2 + 4x = 20
3x^2 + 4x - 20 = 0
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = 3
b = 4
c = -20
substitute in the formula
x = [-4 +/-√(4^2 - 4(3)(-20))]/2(3)
x = [-4 +/- √(16 + 240)]/6
x = [-4 +/- 16]/6
x1 = (-4 + 16)/6 = 2
x2 = (-4 - 16)/6 = -20/6
since the width can't be a negative number, x2 is not the right answer
so x = 2
Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° clockwise.
U′(1, −1), V′(0, 4), W′(4, 1)
U′(−1, −1), V′(−4, 0), W′(1, 4)
U′(1, 1), V′(−4, 0), W′(−1, 4)
U′(−1, 1), V′(0, −4), W′(−4, −1)
Answers
The coordinates of the vertices for the image of the triangle U′V′W′ is
U′(1, 1), V′(−4, 0), W′(−1, 4)
How to find the coordinates after transformationTo rotate a point 90 ° clockwise about the origin, we can apply the transformation (x, y) → (y, -x)
So applying this transformation to each vertex of triangle UVW we get
U(−1, 1) → U' = (1, 1)
V(0, −4) → V' = ( -4, 0)
W(−4, −1) → W' = (-1, 4)
Therefore the coordinates of the vertices for the image triangle U'V'W' are U′(1, 1), V′(−4, 0), W′(−1, 4)
Learn more about transformation at
https://brainly.com/question/4289712
#SPJ1
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answers
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
Need answers please help
Answers
Answer
Yes, zero is contained in the interval
Select all the correct answers.
Consider the circle represented by this equation.
X^2+4x+y^2-2y-4=0
Which features are features of the circle?
center at (-2, 1)
radius of 1
radius of 3
radius of 9
center at (2,-1)
center at (-4, 2)
Answer ASPA
Answers
Based on the calculations, the features which are features of the circle include the following:
center at (-2, 1).radius of 9.What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.Given the following equation:
x² + 4x + y² - 2y - 4 = 0
x² + 4x + y² - 2y = 4
Next, we would evaluate the equation by using completing the square method:
x² + 4x + 4 + y² - 2y + 1 = 4 + 5
(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9
(x + 2)² + (y - 1)² = 3²
By comparing the above equation with the standard form of the equation of a circle, we have:
Center, h = -2.Center, k = 1.Radius, r = 3.Read more on equation of a circle here: https://brainly.com/question/24810873
#SPJ1
You deposit $200 in an account earning 2% interest compounded annually. How much will you have in the account in 20 years?
Answers
Answer:
221
Step-by-step explanation:
Interest goes up 5 dollar each year
=200x(1+2%/1)^(20x1)
=$200x (1+2% interest/1 compounded annually)^(20 years x 1 compounded annually)
What number is 1/10 of 10?
Answers
Answer:
Hey there!
1/10 of 10 is 1.
Your answer is 1.
Hope this helps :)
Answer:
1
Step-by-step explanation:
Simplify the following:
10/10
Hint: | Divide 10 by 10.
10/10 = (10×1)/10 = 1:
Answer: 1
what is the solution to the equation below? sqrt 2-3x / sqrt 4x =2
Answers
The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.
To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.
After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.
However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.
Therefore, this is the solution to the equation.
for such more questions on solution
https://brainly.com/question/24644930
#SPJ8
help me asap. my exam is tomorrow.
Answers
The total surface area of the doghouse is 1452 ft²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.
area of the roof part = 2( 13×11) + 2( 12× 10)×1/2
= 286 + 720
= 1006 ft²
surface area of the building
= 2( lb + lh + bh) -bh
= 2( 10× 11 + 10×8 + 11×8) - 10×11
= 2( 110+80+88)-110
= 2( 278) -110
= 556 -110
= 446ft²
The total surface area = 1006 + 446
= 1452 ft²
learn more about surface area from
https://brainly.com/question/16519513
#SPJ1
Write the point-slope form of the equation of the line through the given point with the given
slope.
3) through: (1, -5), slope -5/6
4) through:(-2,5), slope = -7/2
Answers
Question 3)
Given
The point (1, -5)
The slope m = -5/6
Using the point-slope form of the equation of a line
\(y-y_1=m\left(x-x_1\right)\)
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -5/6(x₁, y₁) = (1, -5)substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line
\(y-y_1=m\left(x-x_1\right)\)
\(y-\left(-5\right)=-\frac{5}{6}\left(x-1\right)\)
\(y+5=-\frac{5}{6}\left(x-1\right)\)
Thus, the point-slope form of the equation of the line is:
\(y+5=-\frac{5}{6}\left(x-1\right)\)
Question 4)
Given
The point (-1, 5)
The slope m = -7/2
In our case:
m = -7/2(x₁, y₁) = (-1, 5)substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line
\(y-y_1=m\left(x-x_1\right)\)
\(y-5=-\frac{7}{2}\left(x-\left(-1\right)\right)\)
\(y-5=-\frac{7}{2}\left(x+1\right)\)
Thus, the point-slope form of the equation of the line is:
\(y-5=-\frac{7}{2}\left(x+1\right)\)
The balance in Meg's savings account can be calculated using the
formula S = 50(1.0304), where y is the number of years from the initial
deposit. Meg switches to an account that compounds interest each
month. Which account has about the same annual interest rate as Meg's
current savings account if mis the number of months from the initial
deposit?
S = 50(1.0002)
(B
S = 50 (1.0025)
S = 50(1.0859)
D S = 50(1.2331)
Answers
Using compound interest, it is found that the account that has about the same annual interest rate as Meg's current savings account is given by:
\(S = 50(1.0025)^y\)
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, considering yearly interest, we have that the equation is:
\(S(y) = 50(1.0304)^y\)
Hence r = 0.0304.
Considering monthly interest, we have that:
\(r_m = \frac{0.0304}{12} = 0.0025\)
Hence, the desired account has the equation given by:
\(S = 50(1.0025)^y\)
You can learn more about compound interest at https://brainly.com/question/25781328