Answers
a) account balance: $208.12, so interest earned = $8.12
b) account balance: $1040.60, so interest earned = $40.60
c) account balance: $83,248.32, so interest earned = $3,248.32
_____
The compound interest multiplier for one year is (1 +r/n)^n, where r is the annual rate and n is the number of compoundings in a year. For this problem, you have r=.04, n=4.
Related Questions
This graph shows the linear relationship between the time in seconds, x, for Caroline's walk and the distance in meters, y, Caroline is from her starting point. The graph passes through the point (20,30). According to the graph, how many meters will Caroline walk in exactly one hour?
Answers
Answer:
5400
Step-by-step explanation:
There are 3600 seconds in a hour.
y=1.5(3600)
y=5400
The lines shown below are parallel. If the green line has a slope of -3/7, what is the slope of the red line?
Answers
For the given condition of lines to be parallel, slope of red line is same as green line which is equal to [tex]\frac{-3}{7}[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane with equal distance between them and do not intersect in the same plane."
What is the slope?" Slope is defined as the ratio of increment in the y-coordinates to the x-coordinates."
Condition of slope for two parallel lines
[tex]y = m_{1} x + c_{1}\\\\y = m_{2} x + c_{2}[/tex]
[tex]m_{1}[/tex] and [tex]m_{2}[/tex] represents the slope of parallel lines.
As slope of parallel lines always equal.
Therefore,
[tex]m_{1} = m_{2}[/tex]
According to the question,
Given,
The slope of the green line [tex]= \frac{-3}{7}[/tex]
Condition given,
Lines are parallel.
Using the condition of slope of parallel lines we have,
The slope of the parallel lines is always equal.
Therefore,
The slope of the red line [tex]= \frac{-3}{7}[/tex]
Hence, the slope of the red line [tex]= \frac{-3}{7}[/tex] as per the given lines is parallel.
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rewrite the radical in exponential form
Answers
[tex] \sqrt[4]{10v} = \sqrt[4]{10} \times \sqrt[4]{v} [/tex]
Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
Answers
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The one angle is 20 degrees. Then the other angle is given as,
x + 20° = 180°
x = 180° - 20°
x = 160°
The supplement of an angle that measures 20 degrees will be 160°. Then the correct option is D.
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Write the missing numbers to complete the pattern: 3, 6, 12 and so on
Answers
3, 6, 12, 24, 48, 96, and so on...
The rule for this pattern is to multiply the previous number by 2 to get the next number.
Hope this helps!
how to answer 6x+19x+4=2x-1 with the quadratic formula
Answers
6x² + 19x+ 4 = 2x -1
The general form of the quadratic equation is:
ax² + bx + c = 0
We need to put our equation in general form:
6x² + 19x+ 4 = 2x -1
6x² + 19x+ 4 - 2x +1 = 0
6x² + 17x + 5 = 0
By comparing our equation with the general form, we would find that:
a = 6
b = 17
c = 5
Now, to get the solution, we will substitute with the values of a, b and c in the quadratic formula shown in the attached image
This will give us the following solutions:
either x = [tex] \frac{-17+ \sqrt{(17)^2-4(6)(5)} }{2(6)} = \frac{-1}{3} [/tex]
or x = [tex] \frac{-17- \sqrt{(17)^2-4(6)(5)} }{2(6)} = \frac{-5}{2} [/tex]
Hope this helps :)
Demostrar que si las magnitudes de la suma y la diferencia de dos vectores son iguales, entonces los vectores son perpendiculares.
Answers
Enter the explicit rule for the geometric sequence. 120, 40, 403, 409, 4027, ...
a(n)=
Answers
The explicit rule is of the form
[tex]a_n=a_1(r)^{n-1}[/tex],
where a₁ is the first term and r is the common ratio (what we're multiplying by).
The first term of our sequence is 120.
The common ratio can be found by dividing a₂ by a₁:
40/120 = 1/3
We then plug those into our explicit rule.
The explicit rule for the given geometric sequence is [tex]a(n) = 120 \times (1/3)^{n-1}[/tex].
A geometric sequence is a sequence in which each term after the first is found by multiplying the previous term by a constant called the common ratio.
For the given sequence: 120, 40, 40/3, 40/9, 40/27, ... let's determine the explicit rule.
Identify the first term, a:
The first term is 120.
Determine the common ratio, r:
The ratio of any term to the previous term is 40 / 120, which simplifies to 1/3.
Write the explicit rule:
The nth term of a geometric sequence is given by the formula:
[tex]a(n) = a \times r^{n-1}[/tex]
Here, a = 120 and r = 1/3, so the explicit rule is:
[tex]a(n) = 120 \times (1/3)^{n-1}[/tex]
Complete question:
Enter the explicit rule for the geometric sequence. 120, 40, 40 / 3, 40 / 9, 40 / 27, ...
a(n)=
Help with 8!!!!! Plz
Answers
3(1) + 3 = 6
3(2) + 3 = 9
3(3) + 3 = 12
3(4)+3 = 15
Solve 3x+3 = 3
Subtract 3 from both sides so you get
3x = 0
X= 0
What is the area=___
Answers
We must use a certain formula to find the area of a circle. The formula is:
A = pi × r^2
This means that we must multiply pi by the radius squared.
Pi = Approximately 3.14
Radius = 3 inches
Substitute:
A = pi × r^2
A = 3.14 × 3^2
A = 3.14 × 9
A = 28.26
ANSWER:
The area of the circle is 28.26 inches squared.
A merchant buys a television for $125 and sells it for a retail price of $200. What is the markup
Answers
The markup is 60%.
Given that,
A merchant buys a television for $125 and sells it for a retail price of $200.
Based on the above information, the calculation is as follows:
[tex]= (\$200 - \$125)\div \$125[/tex]
= 60%
Therefore we can conclude that The markup is 60%.
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You are biking to the park. After 6 minutes, 40% of the distance still needs traveled. How long does it take to bike to the park? Write an equation that represents the percent y of the distance that still needs traveled after x minutes.
An equation is y= ___ It takes minutes to bike to the park.
It takes ____ minutes to bike to the park.
SOLVE FOR BLANKS
Answers
Final answer:
The student takes 10 minutes to bike to the park. The equation representing the percent of the distance still to be traveled after x minutes is y = 100 - 10x.
Explanation:
To solve for the total time it takes to bike to the park, we need to consider that after 6 minutes, 40% of the distance still needs to be traveled. This implies that in those 6 minutes, the student has completed 60% of the journey. If 6 minutes represent 60%, we can find the time representing 100% of the journey (the total time to bike to the park) by setting up a proportion where x is the total time.
60% of x = 6 minutes
(0.60)x = 6
x = 6 / 0.60
x = 10 minutes
Therefore, the equation that represents the percent y of the distance that still needs traveled after x minutes is y = 100 - 10x. To verify, after 6 minutes (when x = 6), the equation gives us y = 100 - 10(6), which is y = 100 - 60, and that equals 40%. This matches the initial condition that 40% of the distance is left at that point.
It takes 10 minutes to bike to the park.
On the first day of a conference, 10 rows of 6 chairs are set out in a meeting room. The second day, in the same room, 3x more rows with 5x more chairs are set out. Which of the following equations could be used to determine the number of chairs set out in the meeting room on the second day?
A. y = (15x^2 + 60) chairs
B. y = (15x^2) chairs
C. y = (15x^2 + 16) chairs
D. y = (15x^2 +68x +60) chairs
Answers
We have then:
first day of a conference:
10 rows of 6 chairs are set out.
number of chairs set out: (10) * (6) = 60
Second day of a conference:
3x more rows with 5x more chairs are set out.
number of chairs set out: (3x + 10) * (5x + 6) = 15x ^ 2 + 18x + 50x + 60
number of chairs set out: 15x ^ 2 + 68x + 60
Answer:
to determine the number of chairs set out in the meeting room on the second day we use:
D. y = (15x ^ 2 + 68x +60) chairs
The figures shown are similar. What is the scale factor? Diagram contains two trapezoids. The first has a base of 21. The second has a base of 14.
Answers
The correct answer could also be 14 / 21 which is 2/3
Which one to use depends on what the convention is in your classroom.
The regular price of a Space Invader game is $52, but it’s on sale. The discount is $13. What percent discount is the Space Invader game?
Answers
The percent is 25%
Move the decimal to the left twice to find the percentage.
Your answer would be 25%
Check your answer by multiplying 52 by 0.25 (52 x 0.25 = 13)
is each expression equivalent to 2x^2 - 50?
a 2(x-5)(x+5)
b -2(x+5)(x+5)
c -2(5-x)(x+5)
Say yes or no for each one
Answers
Final answer:
The original expression 2x² - 50 is equivalent to option a) 2(x-5)(x+5) and option c) -2(5-x)(x+5), but not to option b) -2(x+5)(x+5).
Explanation:
The student has asked whether each given expression is equivalent to 2x² - 50.
a) 2(x-5)(x+5): Yes, this is equivalent to 2x² - 50 because when you apply the difference of squares formula, you get 2(x² - 25), which simplifies to 2x² - 50.
b) -2(x+5)(x+5): No, this results in -2(x² + 10x + 25), which simplifies to -2x² - 20x - 50, and is not equivalent to 2x² - 50.
c) -2(5-x)(x+5): No, this expression simplifies to -2(-x² - 5x + 5x + 25) or 2x² - 50, which is actually equivalent to the original expression. The negative sign inside the parentheses changes the sign of x when multiplied by the outside negative factor, leading to a positive result for the x² term.
What is the Value of -3r+8 when r=4?
-12
-4
4
12
Answers
Answer:
The answer is -4
Step-by-step explanation:
-3x4+8 =-4
write a expression showing the sum of 8 and a number f
Answers
hope I help
So
F + 8
What is the value of the expression |48÷(-6)|+|-35÷7|
Answers
The width of a rectangular garden is 9 feet, and its length is 12 feet. Three of these expressions equal the perimeter of the garden, in feet.
Answers
perimeter = sum of all the sides of the rectangle
rectangle consists of 4 sides of which longer sides are called the length - L and shorter side is the width - W.
There are 2 lengths and they are equal and 2 widths and they are equal in size. perimeter = L + L + W + W = 2L + 2W
substituting the values in the equation
P = 2L + 2W
P = (2 x 12) + (2 x 9)
P = 24 + 18 = 42 feet
Answer with explanation:
Width of Rectangular Garden = 9 feet
Length of rectangular Garden = 12 feet
Perimeter of any polygon = Sum of length of all sides
Perimeter of Rectangle =Length + Breadth+Length + Breadth
= 2×(Length + Breadth )
= 2 × (12 +9)
= 2 × 21
= 42 feet
So,the expression which will be equal to perimeter of Rectangle =42 feet
identify each coefficient.
1. 8x _
2. 3m _
3. y_
4. 14t _
Answers
1.) 8x —> 8 • x —> The coefficient is 8
2.) 3m —> 3 • m —> The coefficient is 3
3.) y —> (1) • y —> The coefficient is 1
4.) 14t —> 14 • t —> The coefficient is 14
Which polynomial does this sum of tiles represent?A
Answers
The second is x^2 + 2x + 4
If you added those both up, you'd get 2x^2 + 4x + 6 so your answer would be A.
Answer:
The polynomial result sum is [tex]2x^{2} +4x+6[/tex]
Step-by-step explanation:
To calculate the sum of the polynomial expressions first we have to write individually each one and sum the terms of it:
Fisrt one: [tex]x^{2} + x + x+ 1 + 1 = x^{2} +2x+2[/tex]
Second one: [tex]x^{2} +x+x+1+1+1+1=x^{2} +2x+4[/tex]
Now having both equations in simplified form we can sum them:
[tex]x^{2} +2x+2+x^{2} +2x+4=2x^{2} +4x+6[/tex]
So the sum of the polynomial equations is: [tex]2x^{2} +4x+6[/tex]
Can ya help me I can give ya 20 points please help :)
Answers
I'm not absolutely sure this is correct but this is how we did it when I was in elementary school.
ps. You can check if you have the right final answer afterward online or with a calculator
Answer:
okkkkkkkkkkkkk
Step-by-step explanation:
30 for 48.30 or 32 for 49.60
Answers
49.60 divided by 32 equals $1.55
48.30 divided by 30 is $1.61
So, $1.55 is cheaper than $1.61
Hope this helps! :)
Please answer 2 3 4 and explain how you got your answer I will give brainliest must explain for all 3
Answers
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).
Answers
|BC|²+|CD|² = |BD|²
8² + 8² = |BD|²
|BD|² = 8²·2
|BD| = √[8²·2]
|BD| = 8√2
II. Circular segment BCD is a quater of circle (because ∡BCD=90°)
R=8
So the lenght of arc BD: [tex]L_{BD}=\frac14\cdot 2\pi\cdot R = \frac12\cdot\pi\cdot8 = 4\pi [/tex]
Perimeter of the figure:
[tex]P=|BC|+L_{BC} = 8\sqrt2+4\pi = 4(2\sqrt2+\pi)\ \text{in}[/tex]
The area of circular segment BCD:
[tex]A_{BCD}=\frac14\cdot \pi R^2 =\frac14\cdot \pi\cdot 8^2 =\frac14\cdot \pi\cdot 64 =16\pi[/tex]
III. The area of triangle BCD:
[tex]A_{\Delta BCD}=\frac12\cdot8\cdot8=32[/tex]
IV. The area of figure:
[tex]A=A_{BCD}-A_{\Delta BCD}=16\pi-32=16(\pi-2)\ \text{in}[/tex]
Answer:
A=16(pi-2),p=4(2 sqrt2+pi)
Step-by-step explanation:
Aldo must choose a number between 55 and 101 that is a multiple of 3, 6, and 7.
Answers
If you divide it by 7, you get 12.
If you divide it by 6, you get 14.
If you divide it by 3, you get 28.
Hope this helps!
what measure of spread is LEAST by the long tail in the graph?
Answers
The IQR is the inter-quartile range. It is the length of the box in the middle of the graph. Having the long tail on the right does not affect the box. Therefore, the IQR is not affected.
Answer:
IQR
Step-by-step explanation:
Interquartile range (IQR): it's the difference between the largest and smallest values in the middle 50% of a set of data. It is not affected by the long tail in the graph because its calculation only consider the central part of data.
Range: it’s the difference between the highest value and the lowest value in a data set. It is affected by long tails because consider the whole data
Median absolute deviation (MAD): it's the median of the absolute deviations from the data's median. It's moderate affected by long tails because atypical measures give greater absolute deviation that may cause a greater MAD.
A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. What is the volume of the prism? Enter your answer in the box.
|____|cm³
Answers
The volume of the right rectangular prism with dimensions of 7 cm by 5 cm by 4 cm is 140 cubic centimeters (140 cm³).
To calculate the volume of a right rectangular prism, you can use the formula: Volume (V) = length (l) × width (w) × height (h). For a prism with a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters, the volume is calculated as follows:
V = 7 cm × 5 cm × 4 cm
V = 35 cm × 4 cm
V = 140 cm³
So, the volume of the prism is 140 cubic centimeters (140 cm³).
what is the area of a circumference 37.7
Answers
πD = 37.7
D = 37.7/π
D = 12 units
radius = 1/2 x D
radius = 1/2 x 12
Radius = 6 units
Area = πr²
Area = π(6)² = 113 unit²
The area of circle of circumference 37.7 is 112.76 .
What is area of circle?The area of a circle is pi times the radius squared (A = π r²)
where ,
A = Area of circle
r = radius of circle
What is circumference of circle?The circumference of a circle is defined as the linear distance around it.
C=2πr
where ,
c = circumference of circle
r = radius of circle
According to question
Circumference = 37.7
2[tex]\pi r\\[/tex] = 37.7
[tex]\pi r[/tex] = 18.85
[tex]\frac{22}{7}r[/tex]=18.85 ([tex]\pi = 22/7[/tex])
r = 18.85 × [tex]\frac{7}{22}[/tex]
r = 5.99
Now area of circle = [tex]\pi r^{2}[/tex]
Area of circle = [tex]\frac{22}{7} * 5.99^{2}[/tex]
Area of circle = 112.76
Hence , the area of circle is 112.76 .
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