1. A kite has a width to length ratio of 4:5, so let the width be 4x and the length be 5x. We know that the length is 80 cm. 80 = 5x
Divide by 5.
16 = x.
Now, the width is 4x.
16 times 4 is 64.
The width is 64.
2. Find the unit rate for each juice. The unit rate is ml / dollar.
The first juice has a unit rate of 150 / 1.
The second has a unit rate of 500 / 1.75.
The third has a rate of 1000 / 4.
The fourth has a rate of 2000 / 7.25
Put all values into a calculator. (First: 150, Second: 285.714285, Third: 250, Fourth: 275.862068966)
Whichever one can buy the most ml for a dollar is the best buy.
In here, that is the SECOND rate, which is 1.75 for 500 ml.
She earns 3% commission on all her sales, so if s represents her sales, she'd earn .03s. Inhere, she sells $950 in total. That is her total sales.
So you plug $950 into the equation as s.
.03 (950) = 28.5
She earned $28.50.
Poor Maya!
3. You set it up in ratios. She needs 250 mL of milk for every 325 mL of pancake mix. 250 milk / 325 mix.
But she only has 225 mix.
So you set up 250 milk / 325 mix = M milk / 225 mix
As in all proportions, you cross multiply.
250 x 225 = 325 x M
56250 = 325M
Divide by 325 on both sides.
173.076923077 = M
She needs about 175 mL. The fourth choice.
4. There are a total of 1120 spectators, made of only home team fans and visiting team fans.
There is a total of 100% of people, and 80% are supporters of the home team, so to find the supporters of the visiting team you subtract 100% by 80%.
100 - 80 = 20.
So 20% of the spectators are supporters of visiting team. Now 20% of the total, and 20% = .20.
.20 x 1120 = 224
224 people are fans of the visiting team.
5. A 500-mL bottle of insect repellent has 22 mg of DEET, a chemical used to keep mosquitos away. The same insect repellent sells in 710-mL bottles. Which of the following proportions can be used to find the amount of DEET in the larger bottle? *
If a 500 mL bottle has 22mg of DEET, then 500ml / 22mg
So set up the equation 500 / 22 = 710 / x
Now, cross multiply.
500x = 710 times 22.
500x = 15620
Divide by 500.
x = 31.24
Other possible proportions are:
22 / x = 500 / 710
x / 22 = 710 / 500
22 / 500 = x / 710
Hope this helps and hope I get Brainliest! Lol :)
I spent half an hour explaining and typing this :(
Find an equation of the lips having a major axis of the length
Answer:
The amplitude of the function is |-9| = 9 and the period of the function is 2π.
Step-by-step explanation:
he general form of a sinusoidal function is y = A sin(Bx + C) + D, where A is the amplitude, B determines the period, C is the horizontal shift, and D is the vertical shift.
Comparing this form with the given function y = -9 sin(x), we can see that A = -9, C = 0, and D = 0. The coefficient of x is 1, which can be written as B/1. Therefore, we have:
A = -9
B/1 = 1
C = 0
D = 0
Solving for B, we get:
B = 2π/period
Since B/1 = 1, we have B = 1, which implies:
2π/period = 1
Solving for the period, we get:
period = 2π
Therefore, the amplitude of the function is |-9| = 9 and the period of the function is 2π.
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A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
Answer:
Length 6, Width 2
Step-by-step explanation:
6x2 = 12 = Area
6+6+2+2= 16 = Perimeter
Answer: A. 2 ft by 6 ft
Step-by-step explanation: I took the test and got it right.
Express the product of (x + 3)
and
(3+5) as a trinomial in simplest form.
Answer:
The answer would be 8x + 24. And it's not a trinomial form. Why? Maybe the given is not just (3+5), it's (3x+5). So that we can get trinomial product.
Sol.
(x + 3) (3x + 5)
Each parenthesis has a binomial (two numbers)
A. Note that whenever you have two parenthesis next to each other like this, it implies factoring. So let's factor.
3x^2 + 5x + 9x + 15
We get a quartnomial (containing 4 numbers), but we're looking for a trinomial. Can we reduce this?
B. Yeah, so we reduce
3x^2 + 14x + 15
There you go, this is a trinomial.
I need 1 more credit to pass my class! Please Help!
I will give brainliest If your right.
Answer:
It’s 135
or 67.5
Step-by-step explanation:
Which of the following is true based on the graph? Nearly 200
∘
of cancer cases resorted in the U.S. are aithbusabis to smoking Physicat activity is a nsk factor for cancer cases reported in the U'. S. Acohol is a greator risk factoe for cancer cases than smokng
Based on the provided graph, the correct statement is that nearly "200 of the cancer cases reported in the U.S. are attributable to smoking".
The graph visually represents statistical data or relationships between variables by drawing lines or bars that connect data points or present information in a graphical format. In this case, the graph likely shows the attribution of cancer cases to smoking in the U.S.
Smoking is a dangerous practice that is known to be one of the leading causes of cancer worldwide. The link between smoking and cancer is well-established, with tobacco smoke containing various harmful chemicals that can damage DNA and increase the risk of developing cancer. It is estimated that nearly 25% of all cancer cases can be attributed to smoking.
The graph likely presents data indicating the number of cancer cases attributable to smoking in the U.S. Based on the information provided, the graph suggests that nearly 200 cancer cases in the U.S. can be directly linked to smoking.
Therefore, the correct statement is that nearly 200 of the cancer cases reported in the U.S. are attributable to smoking.
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pls solve the following math from trigonometry
Step-by-step explanation:
\( \tan(2x) = 1.5\)
Take the arc tangent,
\( \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) \)
\(2x = 56.3\)
\(x = 28.15\)
b.
\((3 \cos(x) + 1)(2 \cos(x) + 3) = - 2\)
\(6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2\)
\(6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0\)
\(6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0\)
\(6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0\)
\((6 \cos(x) + 5)( \cos(x) + 1) = 0\)
Set each factor equal to zero.
\(6 \cos(x) + 5 = 0\)
\(6 \cos(x) = - 5\)
\( \cos(x) = - \frac{5}{6} \)
\(x = \cos {}^{ - 1} ( \frac{5}{6} ) \)
\(x = 146.4\)
For the second factor,
\( \cos(x) + 1 = 0\)
\( \cos(x) = - 1\)
\(x = 180\)
So the answer for the second one is
146.4 and 180.
Niah has 34 gems and gives 8 to her sister how much does Niah have now?
Answer:
answer is 26 gems
Step-by-step explanation:
you subtract 8 from 34 and you get 26 as your answer
Please help asap!!! math math math math math math help
Answer:
i dont know
Step-by-step explanation:
Answer:
i dont know srry
Step-by-step explanation:
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $
Answer:
2.00
Step-by-step explanation:
$50 x .04=$2.00
a sketch of a new dog park in town is shown below. how many square feet will the dogs have to roam and play
Answer:
20ft
Step-by-step explanation:
using the pay rates shown determine the amonut of money each employee earns for 15 hours of work
Answer:
What is the payrate?
Step-by-step explanation:
HELP IM IN A QUZZ...
Find the equation of the line satisfying the specified conditions. (d) x-intercept of 2 and y-intercept of -4. ______
(e) vertical line through (-9, -8). ______
(f) through the point (-7, -1) and parallel to the line whose equation is - 4x - y = -4 Write your answer in slope-intercept form.
______
(d) x-intercept of 2 and a y-intercept of -4 is y = 2x - 4.
(e) the equation of the vertical line through (-9, -8) is x = -9.
(f) The equation of the line through the point (-7, -1) and parallel to the line -4x - y = -4 is y = -4x - 29, in slope-intercept form.
(d) To find the equation of a line with an x-intercept of 2 and a y-intercept of -4, we can use the slope-intercept form of a line, which is given by y = mx + b, where m is the slope and b is the y-intercept.
The x-intercept is the point where the line crosses the x-axis, and in this case, it is (2, 0). The y-intercept is the point where the line crosses the y-axis, and in this case, it is (0, -4).
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the x-intercept (2, 0) and the y-intercept (0, -4), we get:
m = (-4 - 0) / (0 - 2)
m = -4 / -2
m = 2
Now we can substitute the slope and y-intercept into the slope-intercept form to get the equation of the line:
y = 2x - 4
Therefore, the equation of the line with an x-intercept of 2 and a y-intercept of -4 is y = 2x - 4.
(e) A vertical line has an undefined slope because its equation does not involve x. If a line passes through the point (-9, -8), then its equation will be x = -9. This is because regardless of the y-value, x will always be -9 on this vertical line.
Therefore, the equation of the vertical line through (-9, -8) is x = -9.
(f) The given line has the equation -4x - y = -4, which can be rewritten in slope-intercept form:
y = -4x + 4
Since we are looking for a line parallel to this line, the slope will be the same. Therefore, the slope of the desired line is -4.
Now we can use the point-slope form of a line, which is given by:
y - y1 = m(x - x1)
Plugging in the coordinates of the point (-7, -1) and the slope -4, we get:
y - (-1) = -4(x - (-7))
y + 1 = -4(x + 7)
y + 1 = -4x - 28
y = -4x - 29
Therefore, the equation of the line through the point (-7, -1) and parallel to the line -4x - y = -4 is y = -4x - 29, in slope-intercept form.
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Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 2x − 5 f(x) = startfraction 4 over x squared endfraction minus startfraction 2 over x endfraction 1 f(x) = 0x2 − 9x 7
The function which represents a quadratic function is f(x) = three-quarters x^2 + 2x - 5 as it has a degree of 2 which is highest exponent. The correct answer is A).
The quadratic function is f(x) = three-quarters x^2 + 2x - 5.
We can identify a quadratic function by its degree, which is 2. The degree of a polynomial is the highest exponent in the expression.
In the given options, f(x) = three-quarters x^2 + 2x - 5 has a degree of 2, with the x^2 term being the highest exponent. The other options have either a degree of 3 (f(x) = -8x^3 - 16x^2 - 4x) or 0 (f(x) = 0x^2 - 9x + 7), or are not even functions (f(x) = 4/x^2 - 2/x + 1). so, the correct option is A).
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Si el precio de un hot dog es $2 y el de una hamburguesa es de $3, entonces 30 hot dogs contribuirán lo mismo al PIB que hamburguesas.
a) 5.
b) 15.
c) 20.
d) 25.
30 hot dogs would contribute $60 to the GDP and 20 hamburgers would also contribute $60 to the GDP.
The calculation for the number of hamburgers that would contribute the same to the GDP as 30 hot dogs is as follows:
GDP (Hot Dogs) = 2 x 30 = 60
GDP (Hamburgers) = 3 x x = 60
Therefore, the number of hamburgers needed to equal the GDP of 30 hot dogs is equal to 20:
GDP (Hamburgers) = 3 x 20 = 60
Therefore, the answer is C) 20.
To explain this in more detail, Gross Domestic Product (GDP) is a measure of the total value of all goods and services produced in a country during a specific period of time. It is calculated by multiplying the price of a good or service by the amount produced. In this case, the price of a hot dog is $2 and the price of a hamburger is $3. Therefore, 30 hot dogs would contribute $60 to the GDP and 20 hamburgers would also contribute $60 to the GDP.
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2.an electric clothes dryer has a power rating of 4000w. assume that a family does five loads of laundry each week for 4 weeks. further assume that each load takes one hour. a.find the energy used in both j and kwh b.if the cost of electricity is $.075/kwh, find the cost of operating the dryer for a month (4 weeks).
The cost of operating the dryer for a month is $6.
An electric clothes dryer has a power rating of 4000W. Assume that a family does five loads of laundry each week for 4 weeks. Further assume that each load takes one hour. A. Find the energy used in both J and kWh.
1J = 1W.s
Energy used = Power x time= 4000W x (5 x 4) x 1h= 80000Wh= 80 kWh
Thus, the energy used in kWh is 80 kWh.1kWh = 1000Wh
1kWh = 3.6 x 10^6 J
Thus, the energy used in J is 80 x 3.6 x 10^6 = 288 x 10^6 J.B. If the cost of electricity is $.075/kWh, find the cost of operating the dryer for a month (4 weeks).
The energy used by the dryer for a month is 80 kWh.
Cost of operating the dryer for a month = Energy used x Cost per kWh= 80 kWh x $0.075/kWh= $6
Therefore, the cost of operating the dryer for a month is $6.
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research shows that ethnicity is often a bigger barrier to advancement into top leadership positions than being a woman.
It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.
While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.
It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.
To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.
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It took 5 hours to drive to Durham to Birmingham. The average speed was 48mph. What was the distance from Durham to Birmingham?
I need the explanation
Answer:
240 miles
Step-by-step explanation:
Because it took 5 hours going 48 miles per hour, therefore 5 x 48 =240
Jack rode a bike through a new in the path shown at the right. If Jack took an average of 2 pictures per mile, how many pictures did Jack take on his bike ride?
Answer:
Jack took 10 pictures on his bike ride.
Step-by-step explanation:
Given that:
Given measurements of sides are 3 miles and 4 miles
We will find the distance of the new route by using Pythagorean theorem.
\(a^2+b^2=c^2\)
(3)² + (4)² = c²
9 + 16 = c²
25 = c²
c² = 25
Taking square root on both sides
\(\sqrt{c^2}=\sqrt{25}\\c=5\)
The distance of new route = 5 miles
Picture taken per mile = 2
Picture taken on bike ride = 2*5 = 10 pictures
Hence,
Jack took 10 pictures on his bike ride.
The Rolling Department of Kraus Steel Company had 3,668 tons in beginning work in process inventory (80% complete) on October 1. During October, 52,400 tons were completed. The ending work in process inventory on October 31 was 4,716 tons (70% complete). What are the total equivalent units for conversion costs? Round to the nearest whole un
The total equivalent units for conversion costs are 58,635 tons (rounded to the nearest whole unit).
To calculate the total equivalent units for conversion costs, we need to consider the units that were in beginning work in process inventory and the units completed during the period.
Units in beginning work in process inventory:
The beginning work in process inventory was 3,668 tons, and it was 80% complete. So the equivalent units for conversion costs in the beginning inventory are 3,668 tons * 80% = 2,934.4 tons (rounded to the nearest whole unit).
Units completed during October:
During October, 52,400 tons were completed. Since these units were completed, they are considered 100% complete for conversion costs. Therefore, the equivalent units for conversion costs for the completed units are 52,400 tons.
Units in ending work in process inventory:
The ending work in process inventory was 4,716 tons, and it was 70% complete. So the equivalent units for conversion costs in the ending inventory are 4,716 tons * 70% = 3,301.2 tons (rounded to the nearest whole unit).
Now, we can calculate the total equivalent units for conversion costs by summing up the equivalent units from the three categories:
Total equivalent units for conversion costs = Equivalent units in beginning inventory + Equivalent units for completed units + Equivalent units in ending inventory
= 2,934 + 52,400 + 3,301
= 58,635 tons (rounded to the nearest whole unit).
Therefore, the total equivalent units for conversion costs are 58,635 tons (rounded to the nearest whole unit).
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Please help! I will give Brainliest!
Who is correct?
Answer:
Erin
Step-by-step explanation:
I believe Erin is right in this case.
arrange the following interest rates in a ending order: 3.4%, 3.039%, 3 3/16%, 3.499%, 3 1/2%
Answer:
3.039%, 3 3/16%, 3.4%, 3.499%, 3 1/2%.
Step-by-step explanation:
First convert to them all decimal fractions:
= 3.4, 3.039, 3.1875, 3.499, 3.5
so, the answer is
3.039, 3.1875, 3.4, 3.499, 3.5
For each of the following situations, i) Find the Marginal Rate of Substitution at the given bundle, and ii) use a graph to indicate the given bundle, and accurately draw the indifference curve that goes through that bundle. Be sure to label you graph carefully and accurately. In all cases put the amount of good X on the horizontal axis, and the amount of good Y on the vertical axis.
b) The consumers utility function is given by U(X,Y) = X1/2*Y1/2, and the given bundle is X = 1 and Y = 16.
i) MRS = __________________________________________________
ii) For this graph, scale each axis up to 16. Do not go above 16 on either axis. Draw your graph in this space:
MRS =\(\frac{\partial U/\partial X}{\partial U/\partial Y} = \frac{2}{1/4} = 8\) It is a rectangular hyperbola whose slope becomes steep as we move down the curve.
Utility function is
\(U(X,Y) = X1/2Y1/2.\) The given bundle is X=1 and Y=16.
i) Marginal Rate of Substitution (MRS) is:
\(\frac{\partial U/\partial X}{\partial U/\partial Y} Substitute the given bundle X = 1 and Y = 16 into\)
\(U(X,Y) = X1/2Y1/2:U(X,Y) = (1)1/2(16)1/2U(X,Y) = 4\)
Taking partial derivatives,
\(\frac{\partial U}{\partial X} = \frac{1}{2}X^{-1/2}Y^{1/2}\frac{\partial U}{\partial Y} = \frac{1}{2}X^{1/2}Y^{-1/2}\)
Substitute the given bundle X = 1 and Y = 16 into the partial derivatives above,
\(\frac{\partial U}{\partial X} = \frac{1}{2}(1)^{-1/2}(16)^{1/2} = 2\frac{\partial U}{\partial Y} = \frac{1}{2}(1)^{1/2}(16)^{-1/2} = \frac{1}{4}\)
Now, the MRS at (1, 16) is,
\(MRS = \frac{\partial U/\partial X}{\partial U/\partial Y} = \frac{2}{1/4} = 8\)
ii) The given bundle is (1, 16).
For the given utility function, the indifference curve passing through (1,16) can be calculated as below:
\(U(X,Y) = X^{1/2}Y^{1/2}lug in U(X,Y) = 4, and solve for Y,4 = X^{1/2}Y^{1/2}16 = Y\\)
therefore\(U(X, 16) = X^{1/2}(16)^{1/2}\)
Indifference curve passing through (1, 16) is\(X^(1/2)(16)^(1/2) = 16.\)
It is a rectangular hyperbola whose slope becomes steep as we move down the curve.
To draw the graph, the scale of each axis is up to 16. The graph is:
The given bundle (1,16) is marked on the graph with a point. The IC curve is the rectangular hyperbola
\(X^(1/2)(16)^(1/2) = 16.\) The axis of good X and good Y are also marked. The scale of each axis is up to 16.
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24 is what percent of 60
Answer: 14.4
Step-by-step explanation:
60 * (24/100) = 14.4
1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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pis possib
How many gallons of a 60% antifreeze solution must be mixed with 100 gallons of 15% antifreeze to get a mixture that is
50% antifreeze? Use the six-step method.
Gallons of
Antifreeze
Strength Gallons of
Solutions
60%
X
15%
100
50%
X + 100
Answer:
x = 350 gallons (amt of 60% solution that must be added)
Step-by-step explanation:
Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons
Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons
Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons
EQUATION:
Active ingredient: 0.60x + 15 = 50 + 0.50x
0.10x = 35
x = 350 gallons (amt of 60% solution that must be added)
Find the slope of the line containing the points whose coordinates are (1/,) and (1/,) a. Ab b. A+b/ab c. 1/ab d. A-b/ab
Answer:
1/ab
Step-by-step explanation:
Complete question
Find the slope of the line containing the points whose coordinates are(a,1/b) and (b,1/a)
Slope is expressed as;
m = y2-y1/x2-x1
Substitute the coordinate values
m = (1/a - 1/b)/b -a
m = (b-a)/ab ÷ b-a
m = (b-a)/ab × 1/b-a
m = b-1/b-a × 1/ab
m = 1 × 1/ab
m = 1/ab
Hence the slope is 1/ab
Find the distance.
1. (-2,2) (4, -1)
2. (-3,-5) (2, 5)
3. (-4,0). (2, 3)
Answer:
1)3√5
2)5√5
3)3√5
Suppose that 7 out of the 17 doctors in a small hospital are General Practitioners, 4 out of the 17 are under the age of 45, and 2 are both General Practitioners andunder the age of 45. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45? Enter a fraction or round youranswer to 4 decimal places, if necessary.
We need to find the probability that you are randomly assigned a General Practitioner or a doctor under the age of 45.
In order to find this probability, we need to find the number of doctors that are General Practitioner or under under the age of 45. Then, divide that number by he total of 17.
We know that 7 doctors are General Practitioners. And 2 of them are also under the age of 45.
Therefore, since ther are 4 doctors that are under the age of 45, there are 2 additional doctors, besided those 2 that follow in both categories, there are under the age of 45.
Summarizing, the number of doctors that are General Practitioner or a doctor under the age of 45 is:
\(7+2=9\)Notice that this result can also be obtained by the formula:
\(|A\cup B|=|A|+|B|-|A\cap B|\)where A is the set of General Practitioners, B is the set of doctors under the age of 45, and the symbol |...| represents the number of elements in that set:
\(|A\cup B|=7+4-2=9\)Therefore, the required probability is:
Answer
\(\frac{9}{17}\)Homer plans to deposit $150 in the bank in one year. He plans to make the same deposit two years from today and three years from today. How much will Homer have in the bank in four years? Homer's bank pays an interest rate of 5.6%. $502 $689 $652 $476
After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.
Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.
After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.
Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.
Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.
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