Mariam is going to invest $3,000 and leave it in an account for 13 years. Assuming the interest is compounded monthly, what interest rate, to the nearest hundredth of a percent, would be required in order for Mariam to end up with $6,200?
Answers
The interest rate that would be earned each month on the amount invested is 0.47%.
What is the interest rate?When the money invested in an account earns a compound interest, it means that both the amount invested and the interest that has already being earned increases 12 times in a year. When an investment earns at a compound interest, it grows exponentially.
The formula that can be used to determine the interest rate is :
Interest rate = [(future value / amount invested)^(1/n)] - 1
Where n is the number of periods
Number of periods = number of years x compounding period
Number of periods = 13 x 12 = 156
Number of periods = [(6200 / 3000)^(1/156) ] - 1 = 0.47%
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Related Questions
How
do I show significant difference using superscript between these
values? (anova single factor test)
Answers
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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factor: 11x²+22x-88
thank you to whoeverr answers this
Answers
Answer:11(x−2)(x+4)
Step-by-step explanation:
11x2+22x−88
=11(x−2)(x+4)
the area of the shape below I NEED HELP NOW
Answers
Answer:
8 units squared
Step-by-step explanation:
Answer:
10 units\( {}^{2} \)Step-by-step explanation:
Area of quadrilateral:
\( \frac{1}{2} (b1 + b2)h\)
Where, b1 = 2 , b2 = 2+2+4 = 8 , h = 2
Now,
\( \frac{1}{2} (b1 + b2)h\)
plugging the values
\( \frac{1}{2} \times (2 + 8) \times 2\)
Calculate the sum
\( \frac{1}{2} \times 10 \times 2\)
Reduce the numbers with G.C.F 2
\( = 5 \times 2\)
Calculate the product
\( = 10 \: {units}^{2} \)
Hope this helps...
Best regards!
Find the highest odd number that is a factor of 60 and a factor of 90.
Answers
15
Solution :Factors of 60 = 2 × 2 × 3 × 5
Factors of 90 = 2 × 3 × 3 × 5
Now, let's collect all odd common factors in 60 and 90, which are :
3 × 5 = 15
Therefore, highest odd number that is a factor of 60 and a factor of 90 is 15.
The highest odd number is 15.
Here for determining the highest odd number we first need to determine:
The factor of 60.The factor of 90.So,
The factor of 60 be \(2\times 2 \times 3 \times 5\)
And, the factor of 90 be \(2 \times 3 \times 3 \times 5\)
So, the highest odd number be \(3 \times 5 = 15\)
Therefore we can conclude that the highest odd number is 15.
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Problem: A cylindrical can is to be made to hold 500 cubic centimeters of liquid. Determine the dimensions of the can that minimize the cost of the material to manufacture it, given that the top and bottom are twice as expensive per square centimeter as the sides.
Answers
The dimensions of the can that minimize the cost of the material are approximately:
Radius (r) ≈ 6.324 cm
Height (h) ≈ 3.984 cm
To determine the dimensions of the can that minimize the cost of the material, we need to find the dimensions that minimize the surface area of the can.
Let's assume the can has a height of h and a radius of r.
The volume of a cylinder is given by:
V = πr²h
Given that the can should hold 500 cubic centimeters of liquid, we have:
500 = πr²h
We want to minimize the cost, which depends on the surface area of the can.
The surface area of the can is the sum of the areas of the top, bottom, and side surfaces.
The cost of the top and bottom surfaces is twice as expensive per square centimeter as the sides.
Let's assume the cost per square centimeter of the sides is c, so the cost per square centimeter of the top and bottom surfaces is 2c.
The surface area of the sides of the cylinder is given by:
A_sides = 2πrh
The surface area of the top and bottom surfaces (each) is given by:
A_top_bottom = 2πr²
The total surface area (cost) is given by:
Cost = 2(2c)A_top_bottom + cA_sides
= 4cπr² + 2c(2πrh)
= 4cπr² + 4cπrh
To minimize the cost, we need to minimize the surface area. To do this, we can express the surface area in terms of a single variable, such as the radius (r) or the height (h).
From the volume equation, we have:
h = 500 / (πr²)
Substituting this value of h into the surface area equation, we get:
Cost = 4cπr² + 4cπr(500 / (πr²))
= 4cπr² + 2000c/r
Now, we can take the derivative of the cost function with respect to r, set it equal to zero, and solve for r to find the critical points:
dCost/dr = 8cπr - 2000c/r² = 0
8cπr = 2000c/r²
8πr³ = 2000
r³ = 250 / π
r ≈ 6.324
Now, we can substitute this value of r back into the equation for h:
h = 500 / (π(6.324)²)
≈ 3.984
So, the dimensions of the can that minimize the cost of the material are approximately:
Radius (r) ≈ 6.324 cm
Height (h) ≈ 3.984 cm
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Q Search CR FSA Review - EE 11 and EE 2.4 (Intensive Mathematics - Period 3) Close Question Trina increased the water in her new backyard fish pond by forty gallons and needs to add more. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes. Write an inequality in terms of m to represent the number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain. A 7 B. 7.5 C. 8 D. 9.75 E 10.3 < 11:18 AM 4/23/2021 hp
Answers
Answer:
work hard k
Step-by-step explanation:
The number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain is 24m < 256
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let m represent the number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain.
Hence:
(48/2)m < 256
24m < 256
The number of minutes Trina can run the water hose to add more water to the pond without adding the maximum amount in case of rain is 24m < 256
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Write an equation for the function that results from the following transformations: f(x)=x
4
is compressed vertically by a factor of
5
3
, translated 3 unit down and 2 units to the left.
Answers
The equation for the function resulting from the given transformations is f(x) = -5/3(x + 2)^4 - 3.
To determine the equation for the transformed function, we start with the original function f(x) = x^4. The first transformation states that the function is compressed vertically by a factor of 5/3. This means that the y-values of the function will be multiplied by 5/3. To incorporate this compression, we multiply the original function by 5/3, resulting in f(x) = (5/3)x^4.
The second transformation involves translating the function 3 units down and 2 units to the left. When a function is translated horizontally, the x-values are adjusted, while vertical translation affects the y-values. Since we want to shift the function 2 units to the left, we replace x with (x + 2). As a result, the function becomes f(x) = (5/3)(x + 2)^4.
Finally, the function is translated 3 units down, which means we subtract 3 from the y-values. This adjustment is represented by -3 at the end of the equation. Combining all the transformations, the equation for the resulting function is f(x) = -5/3(x + 2)^4 - 3.
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The radius of a circle is 10 meters. What is the area of a sector bounded by a 45° arc?
45°
r=10 m
Give the exact answer in simplest form.
Answers
Answer:
The area of the circular sector is approximately 39.269 square meters.
Step-by-step explanation:
A circular sector is a segment of a circle, whose area (\(A\)), measured in square meters, is determined by this formula:
\(A = \frac{\theta}{2} \cdot r^{2}\) (1)
Where:
\(\theta\) - Central angle, measured in radians.
\(r\) - Radius, measured in meters.
If we know that \(\theta = \frac{\pi}{4}\) and \(r = 10\,m\), then the area of the circular sector is:
\(A = \frac{\pi}{8} \cdot (10\,m)^{2}\)
\(A \approx 39.269\,m^{2}\)
The area of the circular sector is approximately 39.269 square meters.
Answer:
39.269
Step-by-step explanation:
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
Answers
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
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Question 25
*
On Monday, Lisa's fish bowl contained 1 litre of water. On Friday, the fish bowl
contained 0.75 litre of water. By what percentage did the amount of water in Lisa's fish
bowl decrease?
А.
в.
С.
D.
0.25%
0.75%
25%
759%
Answers
A test has a mean of 75 with a standard deviation of 5. Which of the following scores is within one standard deviation of the mean
Answers
The score interval that is within one standard deviation of the mean is
(70 , 80).
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean of the collection.
Some of the properties of the standard deviation are:
1. It cannot be negative
2. It is only employed to calculate the spread or dispersion around a data set's mean
3. It displays the degree of deviation from the mean value
4. The larger the spread, the more standard deviation, with data of about the same mean.
Given,
The mean of the test μ = 75
The standard deviation σ = 5
We are asked to find the scores within one standard deviation of the mean.
This means that the scores should be in the interval ( μ - σ , μ + σ )
μ - σ = 75 - 5 =70
μ + σ = 75 + 5 = 80
Therefore the scores should be in the interval = ( 70,80), which is within one standard deviation of the mean.
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Which table of values represents exponential decay?
Answers
Find the product.
(7x - 2y)(x + y)
Enter the correct answer.
DOU
DONE
Clear
Answers
Answer:
7x²-2y²+5xy
Step-by-step explanation:
12 person brought icecream 8 buy pineapple and the rest buy chocolate what is the ratio
Answers
Answer:
Step-by-step explanation:
Brady took 80 shots on his pop- a- shot basketball hoop . If he made 90%of his shots into the basket, how many shots did he make
Answers
Answer: Brady made 72 shots
Step-by-step explanation:
Number of shots taken on his pop- a- shot basketball hoop=80
Percentage of shots made into the basket=90%
Number of shots made into the basket= 90% x 80
= 90/100 x 80
= 72
Hey guys, can yall help me out? I will give brain to whomever answers correctly
Answers
Answer:
A is the correct answer.
In Exercises 12, describe the transformation of f represented by g. Then graph
each function.
12. f(x)=3|x|-2; g(x) = -f(x-6)
Answers
The functions are f(x) = 3 · |x| - 2 and g(x) = - 3 · |x - 6| + 2 and their graphs are shown in the image attached aside.
What is the transformation of a given function?
In this problem we have two functions defined in the statement, the first involves an absolute value function and the second function represents the first function after being reflected around the x-axis and translated horizontally in + 6 units. Now we proceed to derive the expression of the function g(x):
g(x) = - (3 · |x - 6| - 2)
g(x) = - 3 · |x - 6| + 2
Finally, we proceed to graph the two functions, whose picture is attached aside. The function f(x) is the red one and the function g(x) is the blue one.
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Homothetic preferences and homogeneous utility functions: (a) Prove that a continuous preference relation is homothetic if and only if it can be represented by a utility function that is homogeneous of degree one. (b) Relate this result to the lecture slides (p. 34, preferences and utility, part 2, see Moodle) which say that any preference relation represented by a utility function that is homogeneous of any degree is homothetic (i.e., not necessarily of degree one). How is it possible that both statements are true at the same time?
Answers
The slides' result includes utility functions that are homogeneous of any degree, which covers the case of utility functions that are homogeneous of degree one mentioned in statement (a).
(a) To prove that a continuous preference relation is homothetic if and only if it can be represented by a utility function that is homogeneous of degree one, we need to show the two-way implication. If a preference relation is homothetic, it implies that there exists a utility function that is homogeneous of degree one to represent it. Conversely, if a utility function is homogeneous of degree one, it implies that the preference relation is homothetic.
(b) The result mentioned in the lecture slides states that any preference relation represented by a utility function that is homogeneous of any degree is homothetic. This statement is more general because it includes the case of utility functions that are homogeneous of degree other than one. So, the lecture slides' result encompasses the specific case mentioned in statement (a) as well.
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you may not use the break and continue statements within the same set of nested loops. t/f
Answers
The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.
The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.
The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.
Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.
By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.
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Note : This is a computer science question
what is 56 out of 79 as a percentage to 1 decimal point
Answers
Answer:
70.9%
Step-by-step explanation:
"56 out of 79" can be written as (56/79). This is equal to a decimal value of 0.708861, or a percentage of 70.8861%. Round to 1 decimal point to give 70.9%.
Please help me I can not afford to fail this class!!!!
Answers
Answer:
YI =1, XI=7
Step-by-step explanation:
If the total daily wages of 7 women or 5 men is $525.What will be the daily wage of 13 and 7 women and men respectively?
Answers
Answer:
Daily wages of 13 woman = $975
Daily wages of 7 man = $735
Step-by-step explanation:
Given:
Daily wages of 7 women or 5 men = $525
Find:
Daily wage of 13 women and 7 men
Computation:
Daily wages of 1 woman = 525 / 7
Daily wages of 1 woman = $75
Daily wages of 1 man = 525 / 5
Daily wages of 1 man = $105
Daily wages of 13 woman = 13 x Daily wages of 1 woman
Daily wages of 13 woman = 13 x 75
Daily wages of 13 woman = $975
Daily wages of 7 man = 7 x Daily wages of 1 man
Daily wages of 7 man = 7 x 105
Daily wages of 7 man = $735
The 14 students in the Spanish club need to raise $562.84 for their summer trip to Spain. They have already raised $238.32. If each student raises the same amount, how much more money must each student raise?
Answers
Answer:
$23.18
Step-by-step explanation:
You have to subtract $562.84 and $238.32 and you get $324.52 then you have to divide $324.52 and 14 to get $23.18
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a plumber charges a rate of $65 per hour for his time but gives a discount of $7 per hour to senior citizens. write an expression which represents a senior citizen's total cost of plumber in 2 different ways
Answers
An equation highlighting the discount: y = (65 - 7)x
A simpler equation: y = 58x
A sofa is on sale for $481, which is 65% of the regular price.
What is the regular price?
Answers
Answer:
I think $ 649.35 cents
Step-by-step explanation:
65% off means the sale price is 35% of the regular price.
35% of something is 0.35 times the something.
Pleaseeeeeeee help me 7th grade math
Answers
Answer: -34
Step-by-step explanation:
first step: subtract 22 from both sides
+n=-12-22
n=-34
Answer:
-34
Step-by-step explanation:
Thats the correct answer . Im rlly good im Math :) I hope you get a good grade.
Draw a general schematic graph of the function y=kx+b, if k>0,b>0
I will give brainliest
Answers
Answer:
k ≠ 3
Step-by-step explanation:
Given the system of equation;
kx - y = 2 ------------------- 1
6x - 2y = 3 -------------------- 2
Rewriting the equations in the format ax+by+c = 0
Equation 1 becomes kx - y - 2 = 0
Equation 2 becomes 6x - 2y - 3 = 0
where a₁ = k, b₁ = -1 and c₁ = -2 and a₂ = 6, b₂ = -2 and c₂ = -3
For the system of equation to have a unique solution the following must be true;
a₁/a₂ ≠ b₁/b₁
Substituting the coefficients into the condition, we will have;
k/6 ≠ -1/-2
k/6 ≠ 1/2
Cross multiplying we will have;
2k ≠ 6
k ≠ 6/2
k ≠ 3
This means that k can be any other real values except 3 for the system of equation to have a unique solution.
Find the value of x which would make line A parallel to line B
Answers
Answer:
35
Step-by-step explanation:
2 lines are parallel if 5x-54 was equal to 3x+16 so
5x-54=3x+16
5x-3x=54+16
2x=70
x=35
Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, rashguards sell for $5 less than full price. Miguel purchases 3 rashguards and pays a total of $60.
Which equation can you use to find how much money, f, each rashguard costs at full price?
3(f-5)=60
5f-3=60
3f-5=60
5(f-3)=60
How much does each rashguard cost at full price?
$
Answers
Answer:
3 (f - 5) = 60 , $25 / each
Step-by-step explanation:
f = full price of each rashguard
Miguel purchases 3 rashguards for $60
The price Miguel paid:
(Full price - $5) * 3 = $60
We can rewrite this as the equation:
3 (f - 5) = 60 (first equation)
How much does each rashguard cost at full price?
Solve for f to find the full price
3(f - 5) = 60
Divide both sides by 3
f - 5 = 20
f = 25
The full price of each rashguard is $25
Let me know if you have any questions!
Estimate the values to complete the table.
Answers
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\) = 0.97
sin(∠C) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\) = 0.26
tan(∠C) = \(\frac{\text{Adjacent side}}{\text{Adjacent side}}\) = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = \(\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}\)
= 3.73
Angle \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\) \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\) \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
A 0.26 0.97 3.73