Answer:
$9,133.92
Step-by-step explanation:
V = P*e^(rt)
V = $5540 * e ^ (0.025*20)
V = 5540 * e^(0.5)
V = 5540 * 1.648721
V = $9,133.9158
about $9,133.92
Final answer:
The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.
Explanation:
To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:
P is the principal amount ($5540),
e is the base of the natural logarithms (approximately 2.71828),
r is the annual interest rate (2.5% or 0.025 as a decimal), and
t is the number of years the money is invested (20 years).
Plugging these values into the formula, we get:
V = $5540 × e^(0.025 × 20)
Using a calculator with the capability to compute e raised to a power, we find:
V ≈ $5540 × 2.71828^0.5
V ≈ $5540 × 1.64872
V ≈ $9138.13
Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.
For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?
Answer:
k = 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
Inverse Variation: xy = k
x = 7
y = 3
Step 2: Solve for k
Substitute: 7(3) = kMultiply: 21 = kRewrite: k = 21The winning speed in the 2011 Indianapolis 500 was 170.265 miles per hour. What is that speed rounded to the nearest tenth of a mile per hour?
Answer:
170.27
Step-by-step explanation:
The value of speed rounded to the nearest tenth of a mile per hour is,
⇒ 170.3 miles per hour.
We have to give that,
The winning speed in the 2011 Indianapolis 500 was 170.265 miles per hour.
Here, The speed is,
⇒ 170.265 miles per hour.
We can round to the nearest tenth of a mile per hour as,
Here, 6 is greater than 5.
Hence,
⇒ 170.265 miles per hour.
⇒ 170.3 miles per hour.
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The box plot was created by using which pieces of data? A) an upper quartile of 56 and a median of 50 B) a lower quartile of 56 and a median of 50 C) a median of 56 and a lower quartile of 50 D) a median of 56 and an upper quartile of 50
Answer:
A) an upper quartile of 56 and a median of 50
Step-by-step explanation:
Hello!
The lower and upper ends "box" from the box and whiskers plot is determined by the first (Q₁) and third (Q₃) quartiles of the data set and the line inside the box marks the median or second quartile of the sample (Q₂)
The length of the whiskers of the diagram is determined by the minimum value (left whisker) and the maximum value (right whisker)
If you observe the graphic:
Q₁= 42
Q₂= 50 (Median)
Q₃= 56
Min= 38
Max= 66
The box is delimited by a lower quartile of 42 and an upper quartile of 56, with a median 50, the least observation is 38 and the highest observation is 66.
The correct choice is A.
I hope this helps!
Equation 1: 5x + 3y = 19
Equation II: 2x - 4y = -8
In solving the system of equations, which operations will allow the elimination of the variable x in the next step?
Answer:
C
Step-by-step explanation:
If you multiply the top equation by 2 and the bottom equation by -5, then there will be a 10x in the first equation and a -10x in the second, which you can cancel out in the next step. Therefore, the correct answer choice is C. Hope this helps!
To eliminate x, we need to make the coefficient of x the same in both equations. We achieve this by multiplying Equation I and Equation II by certain numbers. Subtraction of the modified equations then eliminates x, leaving one equation with y.
Explanation:To eliminate the variable x in the system of equations, we need to multiply each equation by a number that would make the coefficients of x in both equations equal, such that they cancel each other out when we add or subtract the equations.
For the given equations: Equation I: 5x + 3y = 19 and Equation II: 2x - 4y = -8, we can multiply Equation I by 2 and Equation II by 5.
This will result in:
Equation I: 10x + 6y = 38 and Equation II: 10x - 20y = -40
By subtracting Equation II from Equation I, we are able to eliminate the x variable, resulting in the equation 26y = 78.
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271,403 rounded to the nearest ten thousand.
Answer:270,000
Step-by-step explanation:
The 7 is the 10 thousandths so the next number over you. Round
To round 271,403 to the nearest ten thousand, we need to look at the digit in the ten thousand place, which is the 4. If the digit in the ten thousand place is 5 or greater, we round up; if it is less than 5, we round down. In this case, the digit is 4, so we round down. The answer is 270,000 since we round to the nearest ten thousand.
Explanation:To round 271,403 to the nearest ten thousand, we need to look at the digit in the ten thousand place, which is the 4. If the digit in the ten thousand place is 5 or greater, we round up; if it is less than 5, we round down. In this case, the digit is 4, so we round down. The answer is 270,000 since we round to the nearest ten thousand.
What is 12 times 67
Answer:
12 times 67 is 804
Step-by-step explanation:
Use online calculator
Answer:
804
Step-by-step explanation:
bob got a raise, and his hourly wage increased from 12 to 15. what is the percent increase?
25%
12x0.25=3
12+3=$15
Using percentages we know that the percentage increase is 1.25%.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.So, the percentage increase:
Formula: Original price + amount increases/original priceThe amount increased: 15 - 12 = $3Now, calculate as follows:
Original price + amount increases/original price12 + 3/1215/121.25%
Therefore, using percentages we know that the percentage increase is 1.25%.
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Solve for m.
12.6+4m=9.6+8m12.6+4m=9.6+8m
Answer:
m = 3/4
Step-by-step explanation:
12.6+4m=9.6+8m
Isolate the variable, m. Note the equal sign, what you do to one side, you do to the other.
Subtract 4m and 9.6 from both sides:
12.6 (-9.6) + 4m (-4m) = 9.6 (-9.6) + 8m (-4m)
12.6 - 9.6 = 8m - 4m
Simplify:
12.6 - 9.6 = 8m - 4m
3 = 4m
Isolate the variable, m. Divide 4 from both sides:
4m = 3
(4m)/4 = (3)/4
m = 3/4
3/4 is your answer for m.
~
Answer:
3/4 =m
Step-by-step explanation:
12.6+4m=9.6+8m
Subtract 4m from each side
12.6+4m-4m =9.6+8m-4m
12.6 = 9.6 +4m
Subtract 9.6 from each side
12.6 - 9.6 = 9.6 - 9.6 +4m
3 = 4m
Divide each side by 4
3/4 = 4m/4
3/4 =m
What is the simplified form of
Answer:
Step-by-step explanation:
[tex]\sqrt{64x^{16}} =\sqrt{8^{2}*x^{8*2}}\\\\ =\sqrt{8^{2}*(x^{8})^{*2}}\\\\=8x^{8}[/tex]
Javon is helping his dad build a tree house. He has a piece of trim that is 19 feet long. How many pieces can Javon cut that are 1 yard long? How much of a yard will he have left over?
What is the radius and diameter of the following circle?
14 cm
Radius
cm
Diameter
om
Answer:
r = 7 cm
d = 14 cm
Step-by-step explanation:
The diameter is given. It goes across the circle going through the middle
D =14
The radius is 1/2 of the diameter
r = d/2 = 14/2 =7 cm
Can someone please answer this it’s due today and i’ll mark brainliest
Answer:
Step-by-step explanation:
9-2=7
Answer=7
What is the y-intercept when f(0) = 5^1?
Answer:
(0,5)
Step-by-step explanation:
5^1=5, meaning that the y coordinate y-intercept is 5. Therefore, the y intercept is (0,5). Hope this helps!
Find the area of the figure?
Answer:
14 m
Step-by-step explanation:
For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!
Seven Grade Math
Explain why
1
Mr. Baker calculated the area of 4 different styles of rugs. The areas of the 4 rugs are shown.
OS
MARULUGARES PARA
P
ALETICO
ZORLUFERITY
A = 50 m2
A5 m2
A = 2 m2
A = 15 m2
Whlch list shows the rugs in order from least area to greatest area?
A
Oval Rug, Square Rug, Circular Rug, Rectangular Rug
B Oval Rug, Square Rug, Rectangular Rug, Circular Rug
C Square Rug, Oval Rug, Rectangular Rug, Circular Rug
D
Circular Rug, Rectangular Rug, Square Rug, Oval Rug
Answer:
C
Step-by-step explanation:
im just built different
A wave has a frequency of 900Hz and a wavelength of 200m at what speed is this wave traveling
Answer:
180000 m/s
Step-by-step explanation:
The frequency of the wave is 900 Hz.
The wavelength of the wave is 200 m.
The speed of a wave is given as the product of wavelength and frequency. That is:
v = λf
where λ = wavelength
f = frequency
The speed of the wave is therefore:
v = 200 * 900 = 180000 m/s
The speed of the wave is 180000 m/s.
Is h=11 a solution of the equation 1=h/11
Answer:
Yes
Step-by-step explanation:
1/1=1
So 11/11 =1
By substituting 11 for h you get it fits
1) An object exerts a force of 30 lb on an area of 5 square inches. What is the pressure the object
exerts on the surface?
Answer:
Pressure = 6psi
Step-by-step explanation:
The formula for finding pressure is
Pressure = Force ÷ Area
Substitute your values into the equation and solve for Pressure
Pressure = 30 ÷ 5
Pressure = 6psi
What is the product of 5.61 and 0.15
Answer:
0.8415 :)
Step-by-step explanation:
To find the product of 5.61 and 0.15, multiply the two numbers to get 2805 and then place the decimal to account for a total of four decimal places in both numbers, resulting in a product of 0.8415.
Explanation:The product of 5.61 and 0.15 is calculated by simply multiplying the two numbers together. To do this, you can line up the numbers as you would in any multiplication problem, making sure to pay attention to the decimal places:
5.61Since there are two decimal places in each number we are multiplying (two in 5.61 and two in 0.15), we need to have a total of four decimal places in the answer. Taking the raw multiplication result of 2805 and inserting the decimal correctly, we get the final answer:
0.8415Therefore, the product of 5.61 and 0.15 is 0.8415.
Jalen is in a 24 hour dance-a thin as part of a fundraiser. He raised $50 in the first hour of competition. Then another 60 in the second hour. Then another $72 dollars in the third hour. If this pattern continues what is the total amount of money he will earn if he stays in the entire competition
Answer: $786
Step-by-step explanation:
first hour = $50
Second hour = $60
Third hour = $72
Total amount after 24 hours :
4th hour = 72 + 1 4 = 86
5th = 86 + 16 = 102
6th = 102 + 18 = 120
7 = 120 + 20 = 140
8 = 140 + 22 = 162
9 = 162 + 24 = 186
10 = 186 + 26 = 212
11 = 212 + 28 = 240
12 = 240 + 30 = 270
13 = 270 + 32 = 302
14 = 302 + 34 = 336
15 = 336 + 36 = 372
16 = 372 + 38 = 410
17 = 410 + 40 = 450
18 = 450 + 42 = 492
19 = 492 + 44 = 536
20 = 536 + 46 = 582
21 = 582 + 48 = 630
22 = 630 + 50 = 680
23 = 680 + 52 = 732
24 = 732 + 54 = 786
The length of a swimming pool is 5 feet
shorter than twice the width. Let n
represent the width. Which expression
gives the length of the swimming pool?
I hope this helps you
the length of a rectangle is 5 yards less than 3 times the width, and the area of the rectangle is 50 yards squared.
Answer:
5-3w=l
Step-by-step explanation:
A soccer team is having a car wash. The team spent $65 on supplies. They earned $335, including tips. How much was the the team's profit?
Answer:
270
Step-by-step explanation:
I think that it is 270 because i did 335-65=270.
pls pls pls pls pls help me pls
Coefficient of a² is -2
Coefficient of ab is 4
Coefficient of b is -2
The table shows whether pupils in a class have school dinners
Boys who have school dinners 6 boys who don't 4
Girls who have school dinners 7 girls who don't 3
What percentage of boys have school dinners=
What percentage of pupils in this class have school dinners
Answer:
Percentage of boys have school dinners: 60%
Percentage of pupils in this class have school dinners: 65%
Step-by-step explanation:
1. There are: 6+4 = 10 boys in the class -> corresponding to 100 %
1 boy is corresponding to 100% :10 = 10%
6 in 10 have school dinners -> 10% x 6 = 60%
2. There are 10( boys) + 7 (girls) + 3 (girls) = 20 pupils in the class -> corresponding to 100%
1 pupil is corresponding to 100% : 20 = 5%
There are : 6 + 7 = 13 pupils who have school dinners
13 in 20 have school dinners -> 5% x 13 = 65%
The solution is :
Percentage of boys have school dinners: 60%
Percentage of pupils in this class have school dinners: 65%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
Boys who have school dinners 6 boys who don't 4
Girls who have school dinners 7 girls who don't 3
so, we get,
1. There are: 6+4 = 10 boys in the class -> corresponding to 100 %
1 boy is corresponding to 100% :10 = 10%
6 in 10 have school dinners -> 10% x 6 = 60%
2. There are 10( boys) + 7 (girls) + 3 (girls) = 20 pupils in the class -> corresponding to 100%
1 pupil is corresponding to 100% : 20 = 5%
There are : 6 + 7 = 13 pupils who have school dinners
13 in 20 have school dinners -> 5% x 13 = 65%
Hence, The solution is :
Percentage of boys have school dinners: 60%
Percentage of pupils in this class have school dinners: 65%
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x-y = 2
6x + 4y = 92
First, let's rearrange the first equation so we can know what y equals to.
So, (x - y = 2) becomes (y = x - 2).
Now, we can plug this into the second equation so we can find x.
6x + 4(x - 2) = 92
6x + 4x - 8 = 92
10x - 8 = 92
10x = 100
x = 10
Now that we know x equals 50, we can plug this into either equations to find y. Let's use the first equation.
10 - y = 2
-y = -8
y = 8
Now, let's check our work by plugging int eh values of x and y for both equations.
First equation:
10 - 8 = 2
Second equation:
6(10) + 4(8) = 92
60 + 32 = 92
So, the values of x and y are correct.
what is q + 166 = 300?
what is 14.2 = t − 5.4?
Answer:
For the first one q is 134
And the second one is t is 8.8
Step-by-step explanation:
That is true cause 134 +166 = 300
and, 14.2 = 8.8 - 5.4.
Please Mark brainliest!
For the equations given, the value of q is found to be 134 after subtracting 166 from both sides, and the value of t is calculated as 19.6 by adding 5.4 to both sides.
To solve the first equation, q + 166 = 300, we need to isolate the variable q by subtracting 166 from both sides of the equation:
q + 166 - 166 = 300 - 166
q = 134
So, the value of q is 134.
For the second equation, 14.2 = t - 5.4, we need to isolate the variable t by adding 5.4 to both sides of the equation:
14.2 + 5.4 = t - 5.4 + 5.4
t = 19.6
Thus, the value of t is 19.6.
Marissa bought 60 horns for her New Year’s Eve party for $83.40.
She needs to purchase an additional 18 horns for the party at the same unit rate.
Choose True or False for each statement.
Half of 7 minutes 24 seconds
Answer:
3 minutes 42 seconds
Step-by-step explanation:
Half of 7 minutes is 3 minutes 30 seconds
half of 24 seconds is 12 seconds
Add this together
3 minutes 30 seconds + 12 seconds = 3 minutes 42 seconds
Answer:
3 minutes and 42 seconds
Step-by-step explanation:
1 minute=60 seconds, so 7minutes =420 seconds, add the extra 24 seconds to get 444 seconds. Half of that is 222seconds which is equal to 3 minutes and 42 seconds