Theodore opens a savings account with a deposit of 2500. The savings account earns 3.6% simple interest each year. If Theodore makes no additional deposits or withdrawals, which two statements about his account balance are true ?
Answers
after 1 year , the balance of Theodoro's account
After 3 years the balance a
Explanation
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
\(I=p\cdot r\cdot t\)where I is the interes monye created,P is the starting amount of money and t is the time
then,
Let
after one year
t=1
r=3.6%=0.036
P=2500
Now, replace
\(\begin{gathered} I=p\cdot r\cdot t \\ I=2500\cdot0.036\cdot1 \\ I=90 \end{gathered}\)so, after 1 year he has 90 of interest, so the total is
\(\begin{gathered} for\text{year}1=2500+90=2590 \\ \end{gathered}\)so
after 1 year , the balance of Theodoro's account
Step 2
for year 2
let t= 2
replace
\(\begin{gathered} I=p\cdot r\cdot t \\ I=2500\cdot0.036\cdot2 \\ I=180 \end{gathered}\)so, for year 2, the total is
\(\begin{gathered} \text{for year 2} \\ \text{account balance=2500+180} \\ \text{account balance=2680} \end{gathered}\)and so on
Now, for year 3
\(\begin{gathered} \text{for year 3} \\ let\text{ t=3} \\ I=p\cdot r\cdot t \\ I=2500\cdot0.036\cdot3 \\ I=270 \end{gathered}\)so, for year 3
\(\text{account balance=2500+270=2770}\)Related Questions
Which skill is considered crucial to have for a career in the accounting field?
A.
Having good reading and writing skills.
B.
Being good with numbers.
C.
Having good presentation skills.
D.
Having good public-speaking skills.
Correct Answer should be B
Answers
Answer:
B.
Being good with numbers.
Step-by-step explanation:
Accounting is the process of measuring, analyzing, summarizing the day to day business transactions and the business transaction should be monetary terms
So if you want to make a career in an accounting field you should have good with numbers as without numbers the accounting process could not be done
Therefore the option B is correct
Answer:
b
Step-by-step explanation:
Micah is running a 6-mile race. There are water stops
every mile, including at the 6-mile finish line.
How many water stops are there?
Finish
Solve the problem and explain how the model can be used to find the answer.
Answers
Which of the following equations is the best model for a line of fit for the data?
ŷ = −1.34x + 21.5
ŷ = 1.34x + 21.5
ŷ = −0.75x + 17
ŷ = 0.75x + 17
Answers
The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.
What is Scatter plot?A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.
The model of the equation best for the plot is,
ŷ = -1.34x+21.5
At point (1,20),
ŷ = -1.34x+21.5
20 = (-1.34 × 1) + 21.5
20 ≈ 20.15
At point (3,19),
ŷ = -1.34x+21.5
19 = (-1.34 × 3) + 21.5
19 ≈17.45
At point (5,15),
ŷ = -1.34x+21.5
15 = (-1.34 × 5) + 21.5
15 ≈ 14.75
The model ŷ = -1.34x+21.5 is giving the best estimation.
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what is the square root of -1?
Answers
Answer:
\(i\)
Step-by-step explanation:
\(\sqrt{-1}\)
The square root of -1 is undefined and has no solutions.
If we apply imaginary number rule \(\sqrt{-1}=i\)
Then \(\sqrt{-1}\) equals \(i\).
How do I solve for this?
Answers
Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)
Step-by-step explanation:
Generally speaking; \(cos^2x + sin^2x = 1\)
rearranging this gives us all sorts of cool things.
for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
\(cosx =- \sqrt{ 1 - sin^2x}\)
and thats the answer :)
If matt and Jan each make 10 gallons of punch, how many more gallons of orange juice would Jan use than Matt?
Answers
If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.
what is unitary method ?Using the unitary approach, an issue can be resolved by first figuring out the value of a single unit, then multiplying that value by the number of units needed to solve the problem. The unitary technique is sometimes useful for multiplying and dividing by fractions because it makes sense immediately and can be done mentally if the numbers add up. This makes it a good method for defending or explaining frequently employed written fractional algorithms, like division by a fraction. The unitary technique has a formula that involves finding the value of a single unit, multiplying it by the quantity of units, and then finding the desired value.
given
For his 10-gallon punch, Matt uses gallons of orange juice, which adds up to 3x=3*2 = 6.
Using the formula Jan uses gallons of orange juice to create 10 gallons of punch and Matt uses gallons of orange juice to make 10 gallons of punch, we can calculate that Jan uses 2 gallons more orange juice than Matt.
If Matt and Jan each create 10 gallons of punch, Jan uses 2 liters more orange juice as a result than Matt.
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A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. What is the probability that it is a red marble, then a blue marble? Write your answer as a fraction in simplest form.
Answers
Answer:
There are a total of 25 marbles in the bag.
The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.
Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.
The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.
To find the probability of both events occurring together, we multiply their individual probabilities:
8/25 x 1/8 = 1/25
Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.
NO LINKS!!!
Please help me with these Venn Diagram circles
Answers
Figures with more than 3 sides but with no pairs of parallel sides:
Kite,Pentagon,HeptagonIntersectionFigures with more than 3 sides and with one or more pairs of parallel sides, almost all even sided polygons:
Square,Parallelogram,Rhombus,Trapezoid,Rectangle,Hexagon,OctagonCircle 2Figures with one or more pairs of parallel sides:
Empty, all included into intersection regionProblem 2Circle 1Figures with less than 4 sides:
Scalene triangleIntersectionFigures with less than 4 sides and with at least two sides of equal length:
Equilateral triangle,Isosceles triangleCircle 2Figures with at least two sides of equal length:
Square,Rectangle,Rhombus,Kite,Isosceles trapezoid,Pentagon,Hexagon,Heptagon,OctagonProblem 3Circle 1Figures with at least one curved side:
CircleIntersectionFigures with at least one curved side and with at least one obtuse angle:
Empty, not considering combination of shapesCircle 2Figures with at least one obtuse angle (polygons with more than 4 sides will have obtuse angles)
Trapezoid,Rhombus,Kite,Parallelogram,Pentagon,Hexagon,Heptagon,OctagonFind x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
Answers
From the second equation, we have y = 2 - x.
Substituting this into the first equation, we get:
Sax + b(2 - x) = 0
Expanding this equation, we get:
Sax + 2b - bx = 0
Rearranging the terms, we get:
x(Sa - b) = 2b
Dividing both sides by (Sa - b), we get:
x = 2b/(Sa - b)
Substituting this value of x into the second equation, we get:
2b/(Sa - b) + y = 2
Substituting y = 2 - x, we get:
2b/(Sa - b) + (2 - 2b/(Sa - b)) = 2
Simplifying this equation, we get:
4b/(Sa - b) = 2
Multiplying both sides by (Sa - b)/2, we get:
2b = (Sa - b)
Simplifying this equation, we get:
b = a/2
Substituting this value of b into the equation for x, we get:
x = 2b/(Sa - b) = 2(a/2)/(Sa - a/2) = a/(2S - 1)
Substituting these values of x and y into the given point (x, y) = (a + b), we get:
(a/(2S - 1), 2 - a/(2S - 1)) = (a + a/2, a/2)
Therefore, the solution is:
x = a/(2S - 1) and y = 2 - a/(2S - 1).
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
Answers
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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A packet of candles and box of matches cost #420. The candles cost 20 times as much as the matches
Answers
Answer:
candles = $400
matches = $20
Step-by-step explanation:
Let cost of candles = $c
Let cost of matches = $m
c = 20 m (20 times m)
c + m = 420
20m + m = 420
21 m = 420
m = 20
c = 20 (20) = 400
The Language Arts department conducts a study to see if the number of books a student reads per month affects the score on the SAT Verbal Test. Here is the data that the Language Arts department collected for 8 students. Create the scatter plot for this data set. What is the equation of the line of best fit?
Answers
A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.
A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.
Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.
From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.
The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.
To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.
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Polynomials
Multiply (2x - 3)(7x – 4)
Answers
Answer:
(2x-3)(7x-4)
2x(7x-4)-3(7x-4)
14x²-8x+21+12
14x²-8x+33
Answer:
14 x square - 29x + 12
Step-by-step explanation:
(2x - 3)(7x – 4)
14x squared - 8x- 21x + 12
14 x square - 29x + 12
The simple interest on a sum of money invested 6 months at 5% per annum is $1680. Determine the amount of money invested.
Answers
Answer:
9514 1404 393
Answer:
$67,200
Step-by-step explanation:
The amount if interest is given by the formula ...
I = Prt
where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.
P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025
P = $67,200
The amount invested was $67,200.
Step-by-step explanation:
The blue segment below is a radius of oo. What is the length of the diameter of the circle?
Answers
Answer:
Diameter = 25.4 unitsStep-by-step explanation:
radius = 12.7
Diameter = 2 × radius
= 2 × 12.7
= 25.4 units
Step:
Length of diameter = 2* radius = 2*12.7= 25.4
what number increased by 130% is 69
Answers
Answer:
The number is 30.
Step-by-step explanation:
Let the number be x
so
x + (130% of x) = 69
x + 13x/10 = 69
or, (10x + 13x)/10 = 69
or, 23x = 690
or, x = 690/23
so, x = 30
Answer: 30
Step-by-step explanation:
its correct on rsm
The radius of a circle is 17 centimeters. What is the circle's circumference?
Answers
Answer:
The circle's circumference is approximately 106.81 centimeters.
Explanation:
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.
So, for a circle with a radius of 17 centimeters, its circumference can be found by:
C = 2πr
C = 2 x 3.14 x 17
C ≈ 106.81 cm
Therefore, the circumference of the circle is approximately 106.81 centimeters.
Given D(7,2), E(1, 9), F(4,8), and G(x, 1). Find a such that DE || FG.
Answers
The value of x with the given condition is 10
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
D(7,2), E(1, 9), F(4,8), and G(x, 1),
Also, we have
DE || FG
This means that the lines DE and FG are parallel lines and they have equal slope
The slope is then calculated as
slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)
Evaluate the difference
-7/6 = -7/(x - 4)
So. we have
x - 4 = 6
Evaluate
x = 10
Hence. the value of x is 10
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What is the total expense for manufacturing 400 tables at Woodlike Inc., if the fixed costs are $1,702,300 and each tables variable cost is $21?
Answers
EXPLANATION
Assuming that the number of tables should be multiplied by the variable cost by each table, we can apply the following equation:
\(Expenses=\text{ Fixed Cost + Variable Cost }\cdot\text{ Number of manufactured tables}\)Replacing terms:
\(\text{Expenses = 1,702,300 + 21 }\cdot\text{ 400}\)Multiplying numbers:
\(\text{Expenses = 1,702,300 + 8,400 = 1,710,700}\)In conclusion, the total expense cost is $ 1,710,700
A birthday celebration meal is $47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of the meal.
th
The total cost is $
Answers
Answer:
$54.51
Step-by-step explanation:
A pair of jeans that regularly cost $75 is on sale for 30% off. Hannah has a coupon for an additional 15% off, which is calculated after the initial discount. How much will Hannah pay for the jeans?
Answers
===========================================
Explanation:
If Hannah saves 30%, then she pays the remaining 70%, which then converts to the decimal form 0.70
The 15% discount leads to her paying the remaining 85% and that converts to the decimal 0.85
We'll multiply 0.70 and 0.85 to find the net discount
0.70*0.85 = 0.595
After combining both discounts, she pays 59.5% of the original price.
If the original price was $75, then she pays 0.595*75 = 44.625 = 44.63 dollars after applying both discounts.
which table of values would you use to graph y = 3X^2?
Answers
Answer:
y because its y i really dont no
if 8 identical items together weigh 30 kg, how much does each one weigh?
Answers
Answer:
each weighs 3.75 minimum
Answer:
Each item weighs 3.75 kg, or 3 and 3/4 kg.
Step-by-step explanation:
divide the total weight by the total amount of items. 30/8=3.75
hope this helped! :)
The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?
Please help I need this for a test asapppp and pleased include the solving for this question I need to submit the work
Answers
Answer:
It was a 33% decrease
Step-by-step explanation:
90 minutes - 60 minutes = 30 minutes
30/90= .333333333333
3x = 18
Whats the value of X
Answers
Answer:
X=6
Step-by-step explanation:
3 times 6 is 18 so x is 18
Answer:
\( \huge{ \fbox{ \sf{x = 6}}}\)
Step-by-step explanation:
\( \star{ \sf \: \: 3x = 18}\)
\( \text{ Step \: 1 \: : divide \: both \: sides \: by \: 3}\)
\( \mapsto{ \sf{ \frac{3x}{3} = \frac{18}{3} }}\)
\( \text{Step \: 2 : calculate}\)
\( \mapsto{ \sf{ x = 6}}\)
Hope I helped!
Best regards! :D
~\( \text{theanimegirl}\)
For f(x) = √(x+4) , what is the value of the function when x = 8 ? Round to the nearest hundredth.
NEED ANSWER ASAP!!
Answers
Answer:
exact form : 2√3
decimal form : 3.46410161… or 3.46
hope this helps you!
Answer:
The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46
Step-by-step explanation:
We are given the value of x, so we simply have to evaluate the function:
\(f(x)=\sqrt{x+4}\)
Substitute 8
\(f(8)=\sqrt{8+4}\)
Add in the radical
\(\sqrt{12}\)
The value of the function is sqrt(12).
Rounded to the nearest hundredth: \(3.46\)
Helppp meee Pleaseee
Answers
Answer:
4
Step-by-step explanation:
I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.
In this question, the binomial is (x + 2)².
You can expand this to be (x + 2)(x + 2).
When you expand it using the FOIL method, you get x times x, which is x².
Next, the outside/outer terms are x and 2, which is 2x.
Then, you multiply the inside/inner terms 2 and x, which is 2x.
Last, you multiply the last terms, which are 2 and 2, which is 4.
When you put them together, it looks like this:
x² + 2x + 2x + 4.
You can simplify this to x² + 4x + 4.
So your answer is 4.
thanks in advance ill mark brainliest
Answers
Answer:
i
Step-by-step explanation:
i think it is a. ..........
Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answers
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
HELP NOWWWWW PLEASEEE
Answers
Step-by-step explanation:
what's the problem ?
you need to calculate the area of each rectangle and sum them all up.
that is then the total surface area of the whole prism (or "box").
we have 2 rectangles of 4×3.8
2 rectangles of 11.5×3.8
and 2 rectangles of 11.5×4
so, the total is
2×4×3.8 + 2×11.5×3.8 + 2×11.5×4 = 30.4 + 87.4 + 92 =
= 209.8 m²