Brooke earned $9.00 in interest over one year on her account with $90 at a 10% annual interest rate, compounded annually.
To solve this problem, we can use the formula for compound interest:
A =\(P(1 + r/n)^(^n^t^)\)
where A is the amount of money in the account after t years, P is the principal (the initial amount of money), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time period in years.
In this case, we want to find the interest earned in one year, so we can set t = 1. We know that Brooke has $90 in her account, so P = 90. The annual interest rate is 10%, or 0.1 as a decimal. The interest is compounded annually, so n = 1.
We can plug these values into the formula and solve for the amount of money in the account after one year:
A = \(90(1 + 0.1/1)^(^1^*^1^)\)
A = 90(1.1)
A ≈ 99
The amount of money in the account after one year is approximately $99. So, Brooke earned $99 - $90 = $9 in interest. To the nearest cent, this is $9.00.
In conclusion, using the formula for compound interest, we can calculate the interest earned on an account given the initial balance, annual interest rate, number of compounding periods per year, and time period.
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A composite figure is shown. What is the volume of the composite figure? 4 cm 6 cm 4 cm 9 cm 5 cm
Answer:
No figure shown.
Step-by-step explanation:
Answanswer:
the answer is 4,320.
Step by-step explanation:
The reason the volume is this is becuase you first need to know the volume.
V= L x W x H. (Length and width are also called base.)
Now what you do is just multiply 4*6= 24*4= 96*9= 944*5= 3,420
2nd time asking! I need answer please.
Answer:
33.49 cubic centimeters
Step-by-step explanation:
Equation for volume: 4/3*π*r^3
Substitute 2 for r and 3.14 for π
4/3*3.14*2^3
To the nearest hundredth is 33.49
what is the least common denominator of 4 7/9 and 2 2/3
Answer:
9
Equivalent Fractions with the LCD
4 7/9 = 43/9
2 2/3 = 24/9
For the denominators (9, 3) the least common multiple (LCM) is 9.
Therefore, the least common denominator (LCD) is 9.
4 7/9 = 43/9 × 1/1 = 43/9
2 2/3 = 8/3 × 3/3 = 24/9
Hope this helps :)
The least common denominator of 4 7/9 and 2 2/3 is 9.
Given data:
To find the least common denominator (LCD) of 4 7/9 and 2 2/3, we need to first convert both fractions to their equivalent forms with a common denominator.
The given fractions are:
4 7/9 = 4 + 7/9
2 2/3 = 2 + 2/3
To find a common denominator, we need to find the least common multiple (LCM) of the denominators 9 and 3, which is 9.
Now, let's convert the fractions to their equivalent forms with a denominator of 9:
4 7/9 = (4 * 9)/9 + (7/9) = 36/9 + 7/9 = 43/9
2 2/3 = (2 * 9)/9 + (2/3) = 18/9 + 2/3 = 20/9
The fractions 4 7/9 and 2 2/3 are now expressed with a common denominator of 9.
Hence, the least common denominator (LCD) of 4 7/9 and 2 2/3 is 9.
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In the data set below, what is the interquartile range?
26 42 52 61 75 85 93 96
Answer:
the iqr is 42
Step-by-step explanation:
In a manufacturing plant, three machines A,B, and C produce 40 %, 35 %, and 25 %, respectively, of the total production. The company's quality control department determined that 1 % of the items produced by machine A, 1.5 % of the items produced by machine B, and 2 % of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B
Answer:
Approximately \(37\%\).
Step-by-step explanation:
Let \(X\) denote the machine that produced the item. Let \(Y\) denote whether the item was defective or not. (Let \(Y = 1\) if the item is defective and \(Y = 0\) otherwise.)
The question is asking for the probability of the event \(X = B\) (the selected item was produced by machine \(B\)) given that \(Y = 1\) (the selected item was defective.) This probability could be denoted as: \(P(X = B \; | \; Y = 1)\).
Quantities given in this question are:
\(P(Y = 1\; | \; X = A)\), \(P(Y = 1\; | \; X = B)\), and \(P(Y = 1\; | \; X = C)\), as well as\(P(X = A)\), \(P(X = B)\), and \(P(X = C)\).Apply Bayes' Theorem to express \(P(X = B \; | \; Y = 1)\) in terms of these quantities. By Bayes' Theorem:
\(\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(X = B\; \cap Y = 1)}{P(Y = 1)}\\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)}\end{aligned}\).
Find the value of \(P(Y = 1)\) (probability that a random item from this plant is defective) by marginalizing over all possible values of \(X\). This value is like a weighted average of the defective rate of each machine. The weights here would be the percentage of items produced by each machine.
\(\begin{aligned}& P(Y = 1) \\=\; & P(Y = 1\; | \; X=A)\, P(X = A) \\ &+ P(Y = 1\; |\; X = B)\, P(X = B) \\ & + P(Y = 1\; |\; X = C)\, P(X = C) \\ =\; & 0.01 \times 0.40 \\ &+ 0.015 \times 0.35 \\ &+ 0.02 \times 0.25 \\ =\; & 0.01425\end{aligned}\).
Substitute in the given quantities \(P(Y = 1\; |\; X = B) = 0.015\) and \(P(X = B) 0.35\) into the expression from Bayes' Theorem:
\(\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)} \\=\; & \frac{0.015 \times 0.35}{0.01425} \\\approx\; & 0.37 = 37\%\end{aligned}\).
What is 10(-24)+-2 The The The The The he The The The The The The The The rjenrjwntbwjejwj jesus shejwjeu
Answer:
-242
Step-by-step explanation:
4. Enrique collected 152 recyclable bottles, and
Latasha collected brecyclable bottles. Write
an expression for the number of bottles they
collected altogether.
The required expression is Total = 152+x .
What is expression ?
Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.
Here,
The number of bottles Enrique collected = 152
Let us take number of bottles collected by Latasha as x. Then,
Total number of bottles collected by the is ,
=> Total = Number of bottles collected + Number of bottle collected
by Enrique By Latasha.
=> Total = 152+x
Hence the required expression is Total = 152+x.
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The coordinates of the point
�
N are
(
0
,
4
)
(0,4) and the coordinates of point
�
O are
(
5
,
4
)
.
(5,4). What is the distance, in units, between the point
�
N and point
�
?
O?
Answer:
Step-by-step explanation:
its is 14
. The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches.
Answer:
beug
Step-by-step explanation:
wdqd
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
Simplify this problem!!!
Answer:
C
Step-by-step explanation:
HOPE THAT HELPSBDNQBDB
What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.what will its speed (velocity) be after 3.4 seconds, assuming no air resistance? (Hint: Use the equation v = 32t). How long would it take to fall 50 feet
The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
The time = 3.4 seconds
There is no air resistance.
v = 32t
v = 32(3.4)
v = 108.8 m/s
T = D/S = 50/108.8 = 0.45 seconds
Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.
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What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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the construction of creating the perpendicular bisector of PQ is started below. How would the construction be different if you changed the compass setting in the next step of the perpendicular bisector construction?
Answer: It will not create a perpendicular bisector.
Explanation:
If the compass is the same setting as the first arc and drawn from point B, the points of intersection of the arcs will pass through the midpoint of AB (thus creating a perpendicular bisector).
If you change the setting of the compass and draw an arc from point B, the points of intersection of the arcs will still create a perpendicular line but will not pass through the midpoint of AB (creating a perpendicular line but not a perpendicular bisector).
A perpendicular bisector divides a line segment into two equal segments.
If the compass setting is changed, the line will not be bisected.
To bisect a line, the positioning of the compass must be done as follows:
Place the compass at the endpoint of the line segment, then draw an arcRepeat the above process for the other endpoint of the line segment.Trace the point of intersection of the two arcs, to the line that is being bisected.The above points are what is being done in the given construction.
Any step or setting other than that, would not create a perpendicular bisector.
Hence, if the compass setting is changed, the perpendicular bisector of the line would not be drawn.
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Please help me with this question
In a class of 30 students, 4 received a grade of A. What fraction of the class did not receive an A? Reduce to the lowest terms.
Answer: 13/15
Step-by-step explanation:
Given:
Total number of students = 30
Number of students received an A = 4
Solve:
STEP ONE: Find the number of students who did not receive an A
No A = Total - Yes A
No A = 30 - 4
No A = 26
STEP TWO: Find the fraction of the class that didn't receive an A
Fraction = No A / Total
Fraction = 26 / 30
Fraction = 13 / 15
Hope this helps!! :)
Please let me know if you have any questions
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
Angle B has a measure of 60∘ and is reflected across the line y=x and translated left 14 units to angle B′.
What is the measure of angle B′?
Answer:
\(B' = 60^\circ\)
Step-by-step explanation:
Given
\(B = 60^\circ\)
Reflected and translated to B'
Required
Find the measure of B'
When an angle is reflected and/or translated (irrespective of the number of units of reflection and translation), the resulting angle always equal the initial angle.
This is so because, reflection and translation are rigid transformations and as such, they do not alter the length of measurements.
Hence:
\(B' = 60^\circ\)
Nine times a number is 30 more than three times that number. Find the number
Answer:
From this question, we can write
Let n be the number.
9n=3n+30
6n=30
n=5
We find that the number is 30.
Hi there!
it would be 10.. if your asking for what multiply by 9 and 3 more than the number.
1.Find common multiply:
\(9,18,27,36,45,54,63,72,81,90,99\)
\(30,60,90,120\)
2.Find what nine can multiply to and 30 can also:
\(=90\)
3.Divide two terms:
\(90*9=10\)
This means, the number would be 10.
PLEASEE help and make sure you give explaination. Question 4 I will give brainliest
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees
Answer:
y = 98(w) + 115(18 - w)
Step-by-step explanation:
The expression that represents how much Kevin spends for classes at both schools : (#credits at Westside)($98) + (#credits at pinewood)($115). If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be, if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits. If y is the total cost of is courses, then y = 98(w) + 115(18 - w). Using the distributive property, this can be simplified.
Powers are repeated ___________________.
multiplications
mark me brainliesttt :))
HEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPPPPPPPP
Answer:
To tell if it is proportional, you have to see if they increase by the same amount each time. It is not the first one.
It is the second one.
It is the third one
It is not the 4th one
it is the 5th one
Step-by-step explanation:
What is the length of line segment AB, rounded to the
nearest tenth?
3.4 cm
O 4.8 cm
24 cm
0 27 cm
Answer:
A on e2020
Step-by-step explanation:
The solution is, The length of line segment AB is 3.4cm.
What is Line segment?Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.
here, we have,
The area of octagon is given as 2a^2(1+sqrt{2})
Where a is the side of octagaon.
All sides of octagon are same.
now, we get,
As, 2a^2(1+sqrt{2}) = 54cm
so, we have,
Then, a^2 = 54/2(1+sqrt{2})
a^2 = 54/4.828
a^2 = 11.19
a = 3.4 cm
Hence, The solution is, The length of line segment AB is 3.4cm.
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Suppose that F(x) is a differentiable function such that F(1) = 9.4 and F'(1) = 0.3. Using local linearity, estimate F(1.2).
Using local linearity, f(1.2) = 9.46
What is local linearity?Local linearity is the aprroximation of a curve at a point into a linear function.
How to use local linearity to estimate F(1.2)?For a locally linearized function f(x) about a point x'
f(x + Δx) = f(x) + f'(x)Δx
Now, since we desire to use local linearity to estimate f(1.2)
f(1.2) = f(1 + 0.2)
So, we have that comparing the with f(x + Δx) above, we have
f(1 + 0.2) = f(1) + f'(1)(0.2)
Given that
f(1) = 9.4f'(1) = 0.3Substituting the values of the variables into the equation, we have
f(1 + 0.2) = f(1) + f'(1)(0.2)
f(1 + 0.2) = 9.4 + (0.3)(0.2)
f(1 + 0.2) = 9.4 + 0.06
f(1 + 0.2) = 9.46
f(1.2) = 9.46
So, f(1.2) = 9.46
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Please what is the awnser..
i woll proof the answer here
Step-by-step explanation:
J.o.i.n pqp-yuth-ygd
A triangle has an angle that measures 44.3 and another that measures 52.4" What is the measure of the third angle
The measure of the third angle, if the other angles measure 44.3 and 52.4, is 83. 3 degrees.
How to determine the angle?To determine the angle, we need to know the following;
The sum of the interior angles of a triangle is 180 degreesAlternating angles are equalCorresponding angles are equalSupplementary angles sum up to 180 degreesComplementary angles sum up to 90 degreesThen, from the information given, we have that;
A triangle has an angle that measures 44.3 and another that measures 52.4"
Then, we get; x + 52.4 + 44.3 = 180
collect the like terms'
x = 180 - 96.7
x = 83. 3 degrees
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What is the sum of all the angles that are labeled?
Answer:
61 + 142 + 44 = 247˚
Step-by-step explanation:
Just add haha
the person above is right
Use the graph below to answer the following questions.
⦁ Estimate the available territory at 20 years
⦁ Estimate the available territory at 15 years
⦁ Does this graph represent exponential growth or decay?
⦁ As the time decreases the available territory _______________
Answer:
a) about 190 acres
b) around 240 acres
c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.