Lillian deposits $430 every month into an account earning an annual interest rate of 4. 5% compounded monthly. How much would she have in the account after 3 years, to the nearest dollar? Use the following formula to determine your answer
Answers
Lillian would have approximately $14,599 in her account after 3 years, to the nearest dollar.
To find out how much Lillian would have in her account after 3 years, we need to use the future value of a series formula, which is:
\(FV = P \frac{(1 + r)^nt - 1)}{r}\)
where:
FV = future value of the series
P = monthly deposit ($430)
r = monthly interest rate (annual interest rate / 12)
n = number of times interest is compounded per year (12)
t = number of years (3)
First, we need to find the monthly interest rate by dividing the annual interest rate (4.5%) by 12:
\(r =\frac{0.045}{12} = 0.00375\)
Now we can plug the values into the formula:
\(FV = 430 \frac{(1 + 0.00375)^{12x3} - 1)}{0.00375}\)
Calculating the future value:
\(FV = 430\frac{(1.127334 - 1) }{0.00375} = 430 \frac{0.127334}{ 0.00375} = 430 (33.955)\)
\(FV =14,598.65\)
So, Lillian would have approximately $14,599 in her account after 3 years, to the nearest dollar.
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Related Questions
Identify the graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps. a. A graph has time on the x-axis and altitude on the y-axis. A line increases, is horizontal, and then decreases. c. A graph has time on the x-axis and altitude on the y-axis. A line increases slowly and then decreases rapidly. b. A graph has time on the x-axis and altitude on the y-axis. A line is horizontal and then decreases. d. A graph has time on the x-axis and altitude on the y-axis. A line increases, is horizontal, increases, and then decreases rapidly.
Answers
The graph that displays the altitude of a skydiver as he is taken up in a plane and then jumps:
A graph has time on the x-axis and altitude on the y-axis.
The correct option is A.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
Given:
We have a graph.
The graph is given in the attached image.
From the graph;
A graph has time on the x-axis and altitude on the y-axis.
Therefore, x-axis shows the time and y-axis shows altitude.
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a researcher claims that the proportion of cars with manual transmission is less than 10%. to test this claim, a survey checked 1000 randomly selected cars. of those cars, 95 had a manual transmission. the following is the setup for the hypothesis test: {h0:p
Answers
We would reject the null hypothesis in favor of the alternative hypothesis.
What is the null hypothesis in this hypothesis test?The researcher's claim is that the proportion of cars with manual transmission is less than 10%.
To test this claim, a survey randomly selected 1000 cars and found that 95 of them had manual transmission. The setup for the hypothesis test would be as follows:
Null hypothesis (H0): The proportion of cars with manual transmission is 10% or higher (p >= 0.10).
Alternative hypothesis (H1): The proportion of cars with manual transmission is less than 10% (p < 0.10).
The survey data would be used to calculate the test statistic and p-value. If the p-value is below a predetermined significance level (e.g., 0.05),
we would reject the null hypothesis in favor of the alternative hypothesis, concluding that the proportion of cars with manual transmission is indeed less than 10%.
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lena bought a saltwater fish tank that holds 400 gallons of water. she started filling the tank on friday, but then stopped after putting only 70 gallons of water in the tank. on saturday, she bought a bigger hose and began filling the tank again. it took her 1 hour and 50 minutes on saturday to completely fill the tank. which equation represents the number of gallons of water in the fish tank on saturday, given the amount of time in minutes that lena spent filling the tank?
Answers
The m and b into slope-intercept form results in the equation y = 3x + 70
You need the y-intercept and the rate of change in order to write the equation of a line (slope). You can create your equation by substituting these values into the slope-intercept form of a line (y = mx + b).
You already know b because there are initially 70 gallons of water in the tank on Saturday. You must write two data points using the information provided in the question in order to determine m.
The number of gallons is the dependent variable, and time is the independent variable because the amount of water in the tank is dependent on how long Lena has been filling it. This indicates that the information should be presented in the form (time, gallons).
On Saturday at time = 0, there are 70 gallons, hence the data point is (0, 70). The tank is full (400 gallons) after 1 hour and 50 minutes, which is 60 + 50 = 110 minutes, so another data point is (110, 400). Using the slope formula, determine the rate of change as follows:
(400-70)/(110-0)
= 330/110
=3 gallons per minute. Substituting m and b into slope-intercept form results in the equation y = 3x + 70
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Question
Formulas
Darcy read her thermometer in the morning and the
temperature was -2°C. In the afternoon the same
thermometer showed a temperature of -5' c.
Which of the following is true?
The temperature was 7 degrees colder in the afternoon.
The temperature was 3 degrees colder in the afternoon.
The temperature was 7 degrees warmer in the afternoon.
The temperature was 3 degrees warmer in the afternoon.
Time
Remaining
57:31
Answers
The temperature was 3 degrees colder in the afternoon.
Explanations:
Given the following temperature values
• Temperature of thermometer in the morning = -2°C.
,• Temperature of thermometer in the evening = -5°C.
Find the change in temperature
\(\begin{gathered} \triangle t=-5^0C-(-2^0C) \\ \triangle t=-5^0C+2^0C \\ \triangle t=-3^0C \end{gathered}\)Note that the lower the temperature, the colder it will be and the higher the temperature, the warmer.
Since the temperature in the afternoon is lower than the temperature in the morning, hence the temperature is colder in the afternoon.
Based on the explanations above we can conclude that the temperature was 3 degrees colder in the afternoon.
what does a padaung woman who uses brass rings to stretch her neck illustrate about deviance?
Answers
Answer:
The practice of using brass rings to stretch the neck, also known as neck elongation or neck stretching, is traditionally associated with the Padaung ethnic group from Myanmar (formerly known as Burma).
From a sociological perspective, the use of brass rings to stretch the neck can be seen as an example of deviance, which refers to behavior that violates social norms and expectations. Deviance can be either criminal or non-criminal, depending on the specific behavior in question and the cultural context in which it occurs.
In the case of Padaung women, the use of brass rings to elongate the neck is a form of non-criminal deviance, as it does not violate any laws. However, it does violate cultural norms and expectations in many other societies, where elongated necks are not seen as desirable or attractive.
Therefore, the practice of neck elongation among Padaung women can be seen as a form of cultural deviance, in which members of a particular group engage in behavior that is not considered acceptable or desirable by the larger society in which they live. At the same time, it can also be seen as an expression of cultural identity and tradition, as the practice has been passed down through generations and is an important part of Padaung culture and heritage.
how many independent variables are in a 2x3x2 factorial design
Answers
A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.
The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.
The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.
In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..
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6=2(y+2) i need help
Answers
Answer:
y=1
Step-by-step explanation:
6=2(y+2)
6=2y+4
2=2y
y=1
Answer:
y=1
Step-by-step explanation:
The polygons are regular polygons. What is the area of the shaded region?
Please my brain literally can’t process this...
Answers
Answer:
shaded Area hexagon = Around 281 squared feet
shaded area square 24 squared inches
Step-by-step explanation:
regular hexagon is made up of 6 equilateral triangles. All sides are equal
The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.
Side big hexagon = 12
side small hexagon = 6
BIG A= (3√3 144)/ 2 = 374.1230...
small (3√3 36)/ 2 = 93.5307...
shaded = BIG minus small
374.1230... - 93.5307... = 280.5923... squared feet
BIG SQUARE diagonal = 8
area of a square using diagonals = ½ × d2 Square units.
= ½ × 64 = 32 Square units.
small square (diagolal 4)
½ × 16 Square units. = 8 square inches
Area shaded 32-8 = 24 square inches
A litter of kittens consists of two gray females, one gray male , one black female, and three black males. You randomly pick one kitten. The kitten is gray or male.
Answers
Answer:
There is a 3/7 chance for a gray kitten, a 4/7 chance for a male kitten, and a 1/7 chance for a gray male kitten.
Step-by-step explanation:
Total Kittens = 7 (each of the following will be out of the total amount of kittens)
2/7 = Gray Female
1/7 = Gray Male
1/7 = Black Female
3/7 = Black Male
Total Male Kittens = 4/7
Total Gray Kittens = 3/7
ari thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. freeze zone makes batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel. what will ari think about the amount of caramel in freeze zone's milkshakes?
Answers
Answer:
Step-by-step explanation:
Since we have been given that
Ari has 3 ounces of caramel for each 5 scoops of frozen yogurt .
Freeze Zone makes bunches of milkshakes with 6 ounces of caramel and 8 scoops of frozen yogurt.
As per Ari,
For each 5 scoops of frozen yogurt, he wants 3 ounces of caramel
For each 1 scoop of frozen yogurt, he wants
3 ounces of Caramel
For each 8 scoops of frozen yogurt, he wants
3/5 * 8 = 24/5= 4.8 ounces
In this way, Ari considers sum caramel is something else for ideal milkshake as there is just requirement for 4.8 ounces of caramel however Freeze Zone is utilizing 6 ounces of caramel.
Answer:
Step-by-step explanation:
5456
In the fraction 7/8 , the Numerator Denominator is 7.
Answers
Answer:
The numerator
Step-by-step explanation:
numerator is the top
denominator is the bottom
A gardener took 300 watermelons to market and sold three quarters of them, for $2.30 each. The rest was sold for $1.90. Calculate the total amount of money received by the gardener.
Answers
Answer:
660$
Step-by-step explanation:
3/4 x 300 = 225
225 x 2.30= 517.5
300-225= 75
75 x 1.90= 142.5
142.5$ + 517.5$= 660$
Answer:
$660
Step-by-step explanation:
3/4×300=225
225×$2.30=$517.5
300-225=75
75×$1.90=$142.5
$517.5+$142.5=$660
Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answers
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
The nurse is caring for a 6-year-old boy with mumps. Which of the following statements by the child would cause the nurse to suspect the boy is experiencing a complication of mumps?
a) "I keep coughing up mucus."
b) "Please talk a little louder."
c) "I feel wobbly when I walk."
d) "My knees are sore and stiff."
Answers
The answer to your question is:
The correct answer is b) "Please talk a little louder."
Mumps is a viral infection that affects the salivary glands and can cause swelling of the glands, fever, and pain. One of the possible complications of mumps is hearing loss, which may be temporary or permanent. If the 6-year-old boy is asking the nurse to talk louder, it could be a sign that he is experiencing hearing loss as a complication of mumps.
Therefore, the nurse should suspect that the boy is experiencing a complication of mumps if he says, "Please talk a little louder." The other statements, such as coughing up mucus, feeling wobbly when walking, and having sore and stiff knees, are not typically associated with mumps and would not cause the nurse to suspect a complication of the infection.
In conclusion, the statement that would cause the nurse to suspect the 6-year-old boy is experiencing a complication of mumps is "Please talk a little louder."
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the radius of a sphere is increasing at a rate of 4 mm/s. how fast is the volume increasing (in mm3/s) when the diameter is 80 mm? (round your answer to two decimal places.)
Answers
Increase in volume is 802424.77 cubic mm/s when the diameter is 80 mm.
Let the radius of the sphere be R.
So, the volume of the sphere is given by,
V = \(\frac{4}{3}\pi r^3\)
Differentiating the above relation with respect to time 't' we get,
dV/dt = 4\(\pi r^2\). dr/dt
Given that, the change of radius (dr/dt) = 4 mm/s
When the diameter is 80 mm, then the radius = 80/2 = 40 mm
So the volume change when the diameter is 80 mm is given by,
dV/dt \(=4\pi\times40^2\times4\approx 802424.77\) cubic mm/s
Hence the volume increase in 802424.77 cubic mm/s.
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
20
12
X
Answers
The side length \(x = \sqrt{444}\) => x = 21
What are the properties of right triangle?The right angle, or 90°, is always one angle.
The hypotenuse is the side that will be 90° away from the other angle.
The longest side is always the hypotenuse.
The other two inside angles will add up to 90 degrees.
Also known as base and perpendicular are the other two sides that are close to the right angle.
The first two sides of the triangle are :
1st angle = 20°
2nd angle = 12°
Thus by using the Pythagoras theorem ;
20² + 12² = x²
400 + 144 = x²
this implies , 444 = x²
Taking square roots on both sides we get
\(x = \sqrt{444}\)
x = 21
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*30 points
Can someone please help?
I have to graph a sinusoidal function with an amplitude of 0.5 and a period of 1/330, but I don't know how to do that on desmos or other graphing sites
This is the equation if that helps (located in attachments)
Thank you for saving my day basically T_T
Answers
Answer:
2072.4
Step-by-step explanation:
How can you determine whether salt water is a solution or a compound?
Answers
Answer:
In the comments
Step-by-step explanation:
the diagram Shows a sector of a circle radius 10cm and angle 135 degrees find out perimeter
Answers
Answer: 22.4 cm
Step-by-step explanation:
Perimeter of sector is: P = 2r + 2πr(θ/360) P = 2*10 + 2(3.14) (135/360) = 22.4 cm (rounded)
(y+3) y+5) answer please
Answers
Part B
Here’s a different way to partition the same function. Write a description of the partitioned function using known function types. Include function transformations in your description
Answers
With a negative leading coefficient, quadratic polynomials, and the horizontal offset for a scaled 1/x function.
Section 1's wiggles might be attributed to a variety of distinct purposes. A fourth-degree polynomial is maybe the simplest. It would have to have a negative leading coefficient in order to have downward-trending end behavior.
The curve in section 2 appears to represent either an exponential function or a scaled and translated version of 1/x. We prefer a version of 1/x because the latter is anticipated to approach the horizontal asymptote more quickly than is depicted above.
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A pencil box contains five
red, six yellow, eight blue,
three orange, and two
purple colored pencils. If
one is chosen at random,
find each probability.
Answers
Answer:
red pencil=5/24
yellow pencil=6/24
Blue pencil=8/24
Orange pencil=3/24
purple pencil=2/24
Does the equation y = x/2 represent a proportional relationship?
Answers
Answer:
I think the answer is yes, because its graph is a line that passes through the origin
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Please help I will give Brainiest if correct!
What is the rate of change?
Answers
Answer: 2 is the correct answer I am 100% positive
Step-by-step explanation:
Answer: the rate of change is 2
Step-by-step explanation:
A delivery truck is carrying an 8,713 lb pound load of pet food.At a weighing station the loaded truck weighs 17,200 lb. What is the weight of the empty truck?
Answers
answer to Solve the system of linear equations by substitution. x=2y+7 3x−2y=3 solution
Answers
Answer:
We can use the given equation x=2y+7 and substitute it into the second equation:3x - 2y = 33(2y+7) - 2y = 36y + 21 - 2y = 34y = -18y = -4.5Now, we can substitute this value of y back into the first equation to find x:x = 2(-4.5) + 7x = -9 + 7x = -2Therefore, the solution to the system of equations is (x,y) = (-2,-4.5).
i need help quick man plslsplspsl
Determine if triangle RST and triangle UVW are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answers
For given triangles, ΔRST≅ΔUVW by Side Angle Side (SAS) theorem.
What is the definition of a triangle?
Triangles are polygons with three sides and three vertices in geometry. This figure is two-dimensional and has three straight sides. A triangle is a polygon with three sides. The sum of a triangle's three angles equals 180°. The triangle is contained inside a single plane. Triangles are grouped into three types based on their angles.
Acute Angle Triangle - A triangle whose angles are all less than 90°.Obtuse Angle Triangle - A triangle having an angle greater than 90°.A triangle with a right angle has one of its angles equal to 90°.Now,
Given ∠RTS=∠UWV=59° and sides are in proportion with each other
i.e. RT=15, WU=60 ratio of proportion = 15/60=1/4
also TS=13, WV=52 ratio of proportion=13/52=1/4
So, RT≈WU and TS≈WV and
As SAS states that The triangles are congruent if two sides and the included angle of one are equivalent to two sides and the included angle of another.
Hence,
ΔRST≅ΔUVW by Side Angle Side (SAS) theorem.
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20+64 distributive property
Answers
Wouldn't it still just be 84 with or without the distributive property? :0
2(5+5)+2(16+16)
Step-by-step explanation:
lol and ignorw this wifnsnsjwjs
625=5^(7x-3) what is x
Answers
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
RIGHT OR WRONG PLZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPP
Answers
Answer:i dunno
Step-by-step explanation:
WRONG