Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
If the pattern continues, how many tiles would be in the 62nd stage?
A. 127
B. 129
C. 131
D. 307
find the mausure of 1
Answer:
88
Step-by-step explanation:
Every triangle has a measure of 180, so if we know two of the angles we can find the last one easily. To find angle 1, we first must find angle 2. 2 must be equal to 42 because it is vertical to the other angle that is equal to 42 degrees. Then to find angle 1 do the operation 180-(50+42). This equals 88, which is the measure of angle 1.
A rectangular prism is 7 inches long 10 inches wide and 6 inches tall a what is the length of its longest diagonal to the nearest 10th of an inch
Answer:
c
Step-by-step explanation:
what is 15/8 simplyfied ?
Answer:
mixed number 1 7/8 or decimal form 1.875
Answer:
it cant be simplified but it can be converted into a mixed number. which is
1 7/8. hope this helps <3
Step-by-step explanation:
find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....
Answer:
Step-by-step explanation:
We are given the sequence
[tex]15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0[/tex]
Since we had to find the differences twice, it is a second degree polynomial
[tex]y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\[/tex]
so,
[tex]y = 3n^2 + 5n + 7[/tex]
Do imaginary numbers follow the rules of algebra?
Answer:
no
Step-by-step explanation:
In a circle with radius 0.2,
an angle intercepts an arc
of length 0.1. Find the
angle in radians to the
nearest 10th
Answer: 0.5
Step-by-step explanation:
In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014, let the random variable C represent the number of households in the sample that had a computer. What are the mean and standard deviation of C ?
Answer:
The mean of C is 170 households
The standard deviation of C, is approximately 5 households
Step-by-step explanation:
The given parameters are;
The percentage of households in the United States that had a computer in 2014 = 85%
The size of the randomly selected sample in 2014, n = 200
The random variable representing the number of households that had a computer = C
Therefore, we have;
The probability of a household having a computer P = 85/100 = 0.85
Let
Therefore;
The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;
μₓ = 200 × 0.85 = 170
The mean of C = μₓ = 170
The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5
Therefore;
The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05
The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)
The mean and the standard deviation of C are 170 and 5.05 respectively
The given parameters are:
[tex]\mathbf{n = 200}[/tex] -- the sample size
[tex]\mathbf{p = 85\%}[/tex] -- the proportion of household that had a computer
(a) The mean
This is calculated as:
[tex]\mathbf{\bar x = np}[/tex]
So, we have:
[tex]\mathbf{\bar x = 200 \times 85\%}[/tex]
[tex]\mathbf{\bar x = 170}[/tex]
(b) The standard deviation
This is calculated as:
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{170 \times (1 - 85\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{170 \times 15\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{25.5}}[/tex]
Take square roots
[tex]\mathbf{\sigma = 5.05}[/tex]
Hence, the mean and the standard deviation of C are 170 and 5.05 respectively
Read more about mean and standard deviation at:
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What is the x intercept of 4y+9x=18
Answer:
Step-by-step explanation:
step 1. 4y+9x=18
step 2. 4y=-9x+18
step 3. idk
Answer:
(2,0)
plug 0 for y and solve
Use the distributive property to write an expression that is equivalent to the sum of 9 and 54.
9(1 + 6)
9(9 + 6)
9(1 + 54)
9(1) + 9(54)
Answer:
A-9(1=6)
Step-by-step explanation:
Correct on edg
1092 is divisible into.?
Answer:
1092 is divisible into 1, 7, or 1092.
Step-by-step explanation:
Step-by-step explanation:
1092 / 1 = 1092
1092 / 2 = 546
1092 / 3 = 364
1092 / 4 = 273
1092 / 6 = 182
1092 / 7 = 156
1092 / 12 = 91
1092 / 13 = 84
1092 / 14 = 78
1092 / 21 = 52
1092 / 26 = 42
1092 / 28 = 39
1092 / 39 = 28
1092 / 42 = 26
1092 / 52 = 21
1092 / 78 = 14
1092 / 84 = 13
1092 / 91 = 12
1092 / 156 = 7
1092 / 182 = 6
1092 / 273 = 4
1092 / 364 = 3
1092 / 546 = 2
1092 / 1092 = 1
jamie and rhyns share some money in the ratio of 2:3.jamie gets 40 pounds. how much does rhys get.
Answer:
60 pounds
Step-by-step explanation:
The ratio of Jamie to Rhys is 2 to 3.
Jamie gets 40 pounds.
40 pounds is 20 times 2, so Rhys also has to get 20 times the amount in the ratio.
20 * 3 = 60
Answer: 60 pounds
how do i simplify 4^(n-2)+4^(n-1)+...+4^0
add them all up or Mutiply and Divide all together I think
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)^2
LOOK AT THE PICTURE REALLY EASY
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x+9=4(x-1)^2[/tex]
To convert this to standard form, we can simply expand.
First, expand the right-hand side:
[tex]x+9=4(x^2-2x+1)[/tex]
Distribute the right:
[tex]x+9=4x^2-8x+4[/tex]
Subtract 9 from both sides:
[tex]x=4x^2-8x-5[/tex]
Finally, subtract an x from both sides:
[tex]0=4x^2-9x-5[/tex]
Flip:
[tex]4x^2-9x-5=0[/tex]
Hence, our answer is D.
Find f(-3) if f(x) = x^2.
- -9
- -6
- 6
- 9
Answer:
Plz I don't understand everything
please answer quick and no the answer isn’t 15
Answer:
107
Step-by-step explanation:
The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.
This allows us to do 180 - 73 = 107
x would be 107.
25 pts! Dont copy someone elses work plz
Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work
Answer:
x = −2 or x = 10
Step-by-step explanation:
for the explanation see the image
What is the Value of the angle AEX
Answer:
52
Step-by-step explanation:
I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???
We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.
So begin by removing the brackets.
3x + 1 + 2x + 4 = 90 Combine the like terms.
5x + 5 =90 Subtract 5 from both sides.
5x + 5 - 5 = 90 - 5 Combine
5x = 85 Divide by 5
x = 17
3x + 1 = 3*17 + 1 = 51 + 1 = 52
Given the following equations:
Equation 1
5x+2y=7
Equation 2
x+y=5
Find the value of 4x + y
Answer:
2Step-by-step explanation:
GivenEquations
5x+2y=7 x+y=5 To find The value of 4x + ySolutionSubtract the second equation from the first one side-by-side:
5x + 2y - (x+ y) = 7 - 55x - x + 2y - y = 24x + y = 2The answer is 2
A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.
Answer:
The original price of her purchase was $65.
Step-by-step explanation:
From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:
$13 → 20%
x ← 100%
x=(13*100)/20
x=1300/20
x=65
According to this, the answer is that the original price of her purchase was $65.
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Answer:
Answer is at the bottom!
Step-by-step explanation:
Cherry juice=5+5+5+5+5+5=30
Lime juice =3+3=6
6 cherry slushes and 2 lime slushes were sold.
Hope this helps!!
Answer:
6 cherry slushes and 2 lime
Step-by-step explanation:
7th grade math
please help, I will give brainliest
-19 = -2/3 x
find the value of x
Answer:
-19=-2/3x
3*-19=-2x
-57=-2x
-57/-2=x
57/2=x
x=28.5
Step-by-step explanation:
Answer:
x = [tex]\frac{57}{2}[/tex]
Step-by-step explanation:
Given
- 19 = - [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
- 57 = - 2x ( divide both sides by - 2 )
[tex]\frac{-57}{-2}[/tex] = x , that is
x = [tex]\frac{57}{2}[/tex]
Find the slope of the line passing through each of the following pairs of points.
(5, 0), (−3, 0)
Answer:
0
Step-by-step explanation:
m= y2-y1/x2-x1
=0-0/-3-5
=0/-8
=0
Answer:
Slope = 0
Step-by-step explanation:
Find tan-1 1.4281 to the nearest degree.
a. 10°
b. 55°
C. 5°
d. 35°
Answer:
[tex]\:x=55^{\circ \:\:}[/tex]
Therefore, option 'b' is correct.
Step-by-step explanation:
Let x be the angle
tan x = 1.4281determining the [tex]\tan ^{-1}\left(1.4281\:\right)[/tex]
[tex]\:\tan \:x\:=1.4281\:[/tex]
[tex]x=\tan ^{-1}\left(1.4281\:\right)[/tex]
[tex]\:x=55^{\circ \:\:}[/tex]
Therefore, option 'b' is correct.
In 1927, Charles Lindburgh had his first solo flight across the Antlantic Ocean. He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
Answer:
107.76
Step-by-step explanation:
We are told in the above question that:
He flew 3,610 miles in 33.5 hours. If he flew about the same number of miles each hour, how many miles did he fly each hour?
We solve the above question by:
33.5 hours = 3610 miles
1 hour = x miles
Cross Multiply
33.5 hours × x miles = 3610 miles × 1 hour
x miles = 3610 miles × 1 hour/33.5 hours
x miles = 107.76119403 miles
Approximately = 107.76 miles per hour
Therefore, he flew 107.76 miles each hour
What is the binary number for 23
Answer:
10111
Step-by-step explanation:
Answer:
♡ hi again, queen! ♡
- It's 10111.
have a great day!
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
x= 7
what does the following expression equal:
3+6x-12x+14
Answer:
-25
Given:
x=7
Step-by-step explanation:
3+6x-12x+14
⇒ 3 + 6(7) - 12(7) + 14
⇒ 3 + 42 - 84 + 14
⇒ 45 - 84 + 14
⇒ -39 + 14
⇒ -25
hope you understood!
hey will give brainiest if correct
3 inches i agree too 2020
Solve - 2x - 7 > 5x + 14.
O A. x < -3
B. X > -3
C
C. x < -5
D. I > -5
please help
Answer:
hope this is not to hard to understand
Answer: Thanks for the points
Step-by-step explanation:
The property taxes on a house were $2610. What was the tax rate if the house was valued at $290,000? Follow the problem-solving process and round your answer to the nearest hundredth of a percent, if necessary.
Hi
2 610 / 290 000 *100 = 0.9 %
Less than 1%
The tax rate if the house was valued at $290,000 was Less than 1%.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that property taxes on a house were $2610.
We need to find the tax rate if the house was valued at $290,000.
Therefore,
2610 / 290 000 x 100 = 0.9 %
Hence, the tax rate if the house was valued at $290,000 was Less than 1%.
Learn more about multiplications;
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