Answer: x = -2
x + 9 = 7, Move the constant to the right.
x =7 -9 now calculate that.
then you get x = -2
Hope that helps ya out :D
Answer:
x+9=7
So x= 7-9
( 9 became -9 because we brought it back to the other side to have the x alone and the digits alone )
So x= -2
Suppose at your birth your parents bought you a savings certificate that had a locked-in interest rate, compounded continuously. All you know is that the value of the certificate was $1,866.79 when you were 9 years old and $3,350.87 when you were 18. How much did your parents put into the certificate at your birth?
a) $1, 020.
b) 8960.
c) $1, 040.
d) 8980.
Answer:
Option C : P = $1040
Step-by-step explanation:
Using formula for continuous compounding, we have;
FV = Pe^(rt)
Where;
FV is the future value
P is the starting principal
r is the interest rate
t is time period
Now, from the question;
After 9 years, value is 1,866.79
Hence;
Pe^(9r) = 1,866.79 - - - eq1
Also, after 18 years;
Pe^(18r) = $3,350.87
Now, from exponential functions,
e^(4) can be written as (e^(2))²
Thus,in our case, e^(18r) can simply be written as (e^(9r))²
Thus, we can write Pe^(18r) = $3,350.87 as;
P(e^(9r))² = 3,350.87 - - - eq3
Thus, dividing eq 1 by eq 3 gives;
P(e^(9r))²/Pe^(9r) = 3350.87/1866.79
e^(9r) = 1.794990331
So;
In 1.794990331 = 9r
r = 0.585/9
r = 0.065
Putting this for r in equation 1 gives;
Pe^(9 × 0.065) = 1,866.79
1.795P = 1,866.79
P = 1866.79/1.795
P = $1040
Just making sure my answers are right. Please show the steps clearly. Thank you so much
Answer: See below
Step-by-step explanation:
A.
Let's split the integral into two parts, by the Sum Rule.
[tex]\int\limits {x-4x^3} \, dx[/tex] [split into 2 integrals]
[tex]\int\limits {x} \, dx -\int\limits {4x^3} \, dx[/tex] [solve integral for each part]
[tex]\frac{1}{2} x^2-x^4+C[/tex] [Remember, we need to add C for constant]
-------------------------------------------------------------------------------------------------
B.
[tex]\int\limits {\frac{1+x}{\sqrt{x} } } \, dx[/tex] [expand into 2 integrals]
[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\frac{x}{\sqrt{x} } } \, dx[/tex] [simplify second integral]
[tex]\int\limits {\frac{1}{\sqrt{x} } } \, dx +\int\limits {\sqrt{x} } \, dx[/tex] [solve integral for each part]
[tex]2\sqrt{x} +\frac{2}{3}x^3^/^2+C[/tex]
-------------------------------------------------------------------------------------------------
C.
[tex]\int\limits^4_0 {z(z^1^/^2-z^-^1^/^2)} \, dz[/tex] [distribute]
[tex]\int\limits^4_0 {z^3^/^2-z^1^/^2} \, dz[/tex] [split into 2 integrals]
[tex]\int\limits^4_0 {z^3^/^2} \, dz -\int\limits^4_0 {z^1^/^2} \, dxz[/tex] [solve integral for each part]
[tex]\frac{64}{5} -\frac{16}{3}[/tex] [solve]
[tex]\frac{112}{15}[/tex]
-------------------------------------------------------------------------------------------------
D. *Note: I can't put -1 for the interval, but know that the 1 on the bottom is supposed to be -1.
[tex]\int\limits^1_1 {(1+u)(1-u)} \, du[/tex] [expand]
[tex]\int\limits^1_1 {1-u^2} \, du[/tex] [split into 2 integrals]
[tex]\int\limits^1_1 {1} \, du-\int\limits^1_1 {u^2} \, du[/tex] [solve integral for each part]
[tex]2-\frac{2}{3}[/tex] [solve]
[tex]\frac{4}{3}[/tex]
Alisha has sixty-seven dollars and thirty one cents in her checking account. She wrote a check for ninety-one dollars and fifty-three cent to pay her electric bill. How much money will her account be overdrawn?
Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of ten randomly selected people who recently booked an airline ticket. What is the probability that at least nine out of ten people used an online travel website when they booked their airline ticket
Answer:
0.183
Step-by-step explanation:
This is a question on Binomial Probability
Formula =nCx × p^x × q^n - x
p = 0.72
q = 1 - p
= 1 - 0.72
= 0.28
x = number of successes = 9
n = 10
The probability that at least nine out of ten people used an online travel website when they booked their airline ticket
At least 9 out of 10 means
x ≥ 9 = x = 9 and x = 10
Hence,
P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)
P(x ≥ 9) = 0.14559635388 + 0.0374390623
= 0.18303541631
≈ 0.183
To solve the following equation for X, which operation will you need to perform? X + 2 = 5 Question 1 options: Add 2 Subtract 2 Multiply by 2 Divide by 2
Answer:
subtract 2
Step-by-step explanation:
Answer: subtract 2
Step-by-step explanation: 5-2=3
3+2=5
does coordinate m or n represent a greater number
Answer:
m
Step-by-step explanation:
If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.
Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.
The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.
Therefore, coordinate m represents a greater number.
Answer:
5
Step-by-step explanation:
If all points are plotted on a graph, we'd see that (3, 5) and (10, 5), would be on the same horizontal level. Both points have the same y coordinate of 5.
Invariably, (0, 1) would be on the same horizontal level with (m, n). The coordinate of n, which is the y value on the y-axis would be same as 1.
The coordinate of m, which is the x-value on the x-axis would certainly be greater than 1.
Therefore, coordinate m represents a greater number.
To convert kilograms to grams, you can use the ratio
1,000 grams / 1 kilogram
true or false
Answer:
True
Step-by-step explanation:
1000 grams = 1 kilogram
Repeat the following procedure for the four given numbers Multiply the number by 8. Add 6 to the product . Divide this sum by 2. Subtract 3 from the quotient. The 1st number is 3. The result is
Answer:
12
Step-by-step explanation: Given:1st no. is 3
3×8=24
24+6=30
30/2=15
15-3=12
therefore,ans is 12
Answer:
The result is 12.
Step-by-step explanation:
3×8=24
24+6=30
30÷2=15
15-3=12
Hope it helps :)
Find the amount of money accumulated if you invest $10,000 at 3% interest compounded quarterly for 2 years. Round your answer to the nearest cent.
Answer:
$10,625.99
Step-by-step explanation:
The future value formula is useful for this.
FV = P(1 +r/n)^(nt)
where interest at rate r is compounded n times per year for t years. P represents the principal invested.
FV = $10,000(1 +.03/4)^(4·2) = $10000(1.0075^8) ≈ $10,625.99
The accumulated value will be $10,625.99.
jo is 5cm taller than Kathy.Let j=jo height.Then? =kathys height.
Answer:
Kathy = J - 5 cm
Step-by-step explanation:
Jo = 5 + Kathy
Jo = J
Kathy = K
=> J = 5 + K
=> J - 5 = 5 - 5 + K
=> J - 5 = K
=> K = J - 5
So, Kathy's height is J - 5 cm
simplify the equation
[tex]25 - ( \sqrt{16} - 1) \times (3 - 9) {}^{2} [/tex]
Answer:
-83
Step-by-step explanation:
25-(4-1)*(3-9)^2 [tex]\sqrt{16} =4[/tex]
25-(3)*(-6)^2 4-1=3 3-9=-6
25-3*36 -6*-6=36
25-108 3*36=108
-83
nikki is building a wall for her garden with bricks. each brick is 10 inches long. the bricks are laid end-to-end, and one inch of mortar is layered between each brick.
write an equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long
Answer:
[tex]11n-1=120[/tex]
Step-by-step explanation:
It is given that,
Length of each brick = 10 inches
Mortar between between each brick = 1 inch
For 2 bricks, we need mortar once.
For 3 bricks, we need mortar 2 times.
For 4 bricks, we need mortar 3 times.
Similarly,
For n bricks, we need mortar (n-1) times.
Total length of n bricks = 10n inches
Total length of (n-1) times mortar = 1(n-1) = n-1 inches
Total length of wall = 10n + (n-1) inches.
1 feet = 12 inches
10 feet = 120 inches
The equation to model the number of bricks,n, nikki needs in each layer to build a wall 10 feet long.
[tex]10n+(n-1)=120[/tex]
[tex]11n-1=120[/tex]
Therefore, the required equation is [tex]11n-1=120[/tex].
James has $20.00 in his checking account. He goes to the bank and withdraws $20.00. How much money does James have in his account immediately after withdrawing the $20.00?
Answer:
$0.00
Step-by-step explanation:
$20.00-$20.00=$0.00
P=2(I+w) when solved for w
Answer:
w = p/2 - l
Step-by-step explanation:
When a question asks to be solved by a variable it means to get that variable on one side.
To do this lets first divide each side by 2 making the equation now ...
(l + w) = p/2
Now all we have to do is subtract l on both sides. Now we know that
w = p/2 - l
-13 can be classified as a whole number, interger, or rational number
Answer:
Step-by-step explanation:
Actually, -13 can be classified as any and all of these.
Answer:-13 would be considered a rational number :)
Step-by-step explanation:
Only positive numbers are considered as whole numbers, so we know that that is not a correct option, and an integer is any number that is not either a decimal or a fraction. Hope this helps :)
Determine whether the variable is qualitative or quantitative. Explain your reasoning. favorite city
Answer:
Qualitative variable.
See explanation below.
Step-by-step explanation:
In research we have two types of variables: the quantitative and the qualitative variables.
A quantitative variable is a variable that is a number, for example: age, height, number of years of school. These type of variables are only numbers.A qualitative variable is a variable that is not a number but rather a category of data. For example: your name, your gender, your favorite food. All these examples are not numbers but categories.In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.
Hey any oneill give brainleast please help me
Answer:
8
Step-by-step explanation:
So we have the expression:
[tex](-\frac{11}{2}x+3)-2(-\frac{11}{4}x-\frac{5}{2})[/tex]
First, distribute the right:
[tex]=(-\frac{11}{2}x+3)+(\frac{11}{2}x+5)[/tex]
Combine like terms:
[tex]=(-\frac{11}{2}x+\frac{11}{2}x)+(3+5)[/tex]
The fractions will cancel:
[tex]=3+5[/tex]
Add:
[tex]=8[/tex]
Our answer is 8 :)
Answer:
8
Step-by-step explanation:
Find the slope and the y-intercept of the line
[tex]y = - \frac{5}{2}x + 3[/tex]
Answer:
slope = -5/2
the y-intercept is the point (0, 3)
Step-by-step explanation:
Notice the equation is given to you already in slope-intercept form, o you can extract those values directly:
Slope is the factor accompanying the variable x , that is the fraction -5/2 and the y value of the y-intercept is the "+3" that follows.
So the slope = -5/2
and the y-intercept is the point (0, 3) because x must be always zero when the line intersects the y-axis.
8 limes =$2.00
you have $5. How much change would you receive after purchasing 12 limes
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university. Assume that the proportion of students who own a cell phone at this university is the same as nationwide. Let X = the number of students in the sample of 15 who own a cell phone.
1. What is the appropriate distribution forX? **N = Normal, B = Binomial?
A. X is M(15, 0.9).
B, X is B(15, 09).
C. Xis B(15, 13.5).
D. Xis N(13,5, 1.16).
2. On average, how many students will own a cell phone in a simple random sample of 15 students?
a. 9.
b. 13
c. 13.5.
d. 14 17.
3. What is the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students?
a. 0.077.
b. 0.09.
c. 1.16.
d. 1.35.
4. What is the probability that all students in a simple random sample of 15 students own a cell phone?
a. 0.
b. 0.1.
c. 0.206.
d. 0.9.
Complete Question
The complete question is shown on the uploaded image
Answer:
1 ) The correct option B
2) The correct option is C
3) The correct option is C
4) The correct option is C
Step-by-step explanation:
From the question we are told that
The proportion that own a cell phone is [tex]p = 0.90[/tex]
The sample size is n = 15
Generally the appropriate distribution for X is mathematically represented as
[tex]X \ is \ B( n , p )[/tex]
So
[tex]X \ is \ B( 15 , 0.90 )[/tex]
Generally the number students that own a cell phone in a simple random sample of 15 students is mathematically represented as
[tex]\mu = n * p[/tex]
[tex]\mu = 15 * 0.90[/tex]
[tex]\mu = 13.5[/tex]
Generally the standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is mathematically represented as
[tex]\sigma = \sqrt{ n * p * q }[/tex]
Where q is mathematically evaluated as
[tex]q = 1- p[/tex]
[tex]q = 1- 0.90[/tex]
[tex]q = 0.10[/tex]
[tex]\sigma = \sqrt{ 15 * 0.90 * 0.10 }[/tex]
[tex]\sigma = 1.16[/tex]
Generally the probability that all students in a simple random sample of 15 students own a cell phone is mathematically represented as
[tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * p^{15} * q^{15 - 15}[/tex]
[tex]P(X = 15) = \left 15} \atop {}} \right.C_{15} * (0.90)^{15} * (0.10 )^{15 - 15}[/tex]
From the combination calculator is [tex]\left 15} \atop {}} \right.C_{15} = 1[/tex]
[tex]P(X = 15) = 1 * 0.205891 * 1[/tex]
[tex]P(X = 15) = 0.206[/tex]
The appropriate distribution for X is M(15, 0.9).
On average 1.345 students will own a cell phone in a simple random sample of 15 students.
The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.
The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.
Given that,
The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years.
It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university.
Assume that the proportion of students who own a cell phone at this university is the same as nationwide.
According to the question,
Let X = the number of students in the sample of 15 who own a cell phone.
1. The appropriate distribution for X is,
the sample size is n equals 15 and the proportion of the cell phone is 90% = 0.9.
The appropriate distribution for X is M(15, 0.9).
2. On average students will own a cell phone in a simple random sample of 15 students is,
[tex]\mu = n \times p\\\\\mu = 15 \times 0.9\\\\\mu = 1.345[/tex]
On average 1.345 students will own a cell phone in a simple random sample of 15 students.
3. The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is,
[tex]\rm \sigma = \sqrt{n \times p \times q}\\\\\sigma = \sqrt{n \times p \times (1-q)}\\\\\sigma = \sqrt{15 \times 0.9 \times (1-0.9)}\\\\\sigma = \sqrt{15 \times 0.9 \times 0.1}\\\\\sigma = 1.16[/tex]
The standard deviation of the number of students who own a cell phone in a simple random sample of 15 students is 1.16.
4. The probability that all students in a simple random sample of 15 students own a cell phone is,
[tex]\rm P(X=15) = 15_C_{15} \times p^{15} \times q^{15-15}\\\\P(X=15) = 1 \times (0.90)^{15 }\times (0.10)^0\\\\P(X=15) = 1 \times 0.206\times 1\\\\P(X=15) = 0.206[/tex]
The probability that all students in a simple random sample of 15 students own a cell phone is 0.206.
For more details refer to the link given below.
https://brainly.com/question/17521208
Dilating point A using center C and scale factor 2.5 gives image A'. Dilating point B using center C and scale factor 2.5 gives image B'. What can you say about line AB and line A'B' ?
Answer:
a+b=C
Step-by-step explanation:
because a b c
The ratio of girls to boys in an Algebra class is 6 to 7. If there are 18 girls, how many boys are there?
Answer:
21 boys
Step-by-step explanation:
Girls Boys
6 7 <= reflects the 6:7 ratio mentioned in the problem
---------- = ----------
18 x
Cross multiply to determine x:
6x = 7(18), or x = 7(3), or x = 21
There are 21 boys when we have 18 girls.
In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If the total number of books is 220, how many maths books are there?
Answer:
60 maths books
Step-by-step explanation:
Let the following be:
Maths books = mScience books = sHistory books = hAnd we have ratios and sum:
m/s = 3/2s/h = 1/3m+s+h = 220From the ratios we get:
m = 3s/2h= 3sConsidering the above in the sum of books:
m+s+h = 2203s/2 + s + 3s = 2203s + 2s + 6s = 2*22011s = 440s = 440/11s = 40Number of maths books:
m = 3s/2 = 3*40/2 = 601 3 9 10 TIME REI 25: Consider the function y = asin(bx), where a > 0 and b>0. Which change compresses the graph vertically?
Making the value of 'a' smaller, but still positive, will make the graph be compressed vertically.
Let's say a = 1 is the initial value. If we update it to a = 0.5, then the graph will be half as tall as it used to be, so it's compressed by a factor of 1/0.5 = 2.
The value of b determines the period of the sinusoidal function.
1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).
Answer:
[tex](g \: \circ \: f)(0) = 17[/tex]Step-by-step explanation:
f(x) = 2x + 4
g(x) = 4x² + 1
In order to find (g ∘ f)(0) we must first find
(g ° f )(x)
To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)
That's
[tex](g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\ = 4(4 {x}^{2} + 16x + 16) + 1 \\ = {16x}^{2} + 64x + 16 + 1[/tex]We have
[tex](g \: \circ \: f)(x) = {16x}^{2} + 64x + 17 \\ [/tex]Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)
We have
[tex](g \: \circ \: f)(0) = 16( {0})^{2} + 64(0) + 17 \\ [/tex]We have the final answer as
[tex](g \: \circ \: f)(0) = 17[/tex]Hope this helps you
523 x = 523 x = last one
Answer:
X has an infinite number of solutions
or
0 = 0
Step-by-step explanation:
Hey there!
Given,
523x = 523x
Simplify
523x = 523x
-523x to both sides
0 = 0
So x has an infinite number of solutions.
Hope this helps :)
Combine like terms. 7-x-(-5x)-10+4x
Answer:
8x−3
Step-by-step explanation:
HOPE THIS HELPS!!!! :)
<3333333333
f(x) = -4x - 3
Evaluate f(9) + f(5)=
Evaluate f(9) + f(5)= 14f If I didn't answer Your Question fully than tell me please!
If G is a 3 x 4 matrix and His a 4x 3 matrix, what is the dimension of GH?
04x3
0 3x4
O 3x3
O Undefined
Answer:
3x3
Step-by-step explanation:
G is a 3 x 4 matrix and His a 4x 3 matrix
In multiplication of matrix a particular formula is used
If G = MN and H = NM then GH = MM
So G= 3x4 and H = 4x3
Then GH = 3x3
The above rule is a rule that binds matrix multiplication and allows for an easier calculations and also helps check the possibility of the multiplication.
As for the above, the multiplication is possible an the result of the multiplication will give us a 3x3 matrix
The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed. Suppose that it is reported in the news that 8% of the people living and working in Kokomo feel "very satisfied" with their commute time to work. What is the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times
Answer:
The travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.
Step-by-step explanation:
We are given that the average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes.
Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.
Let X = the distribution of travel time
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = average travel time = 17 minutes
[tex]\sigma[/tex] = standard deviation = 4.5 minutes
So, X ~ Normal([tex]\mu=17, \sigma^{2} =4.5^{2}[/tex])
Now, we have to find the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times, that means;
P(X < x) = 0.08 {where x is the required travel time}
P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{x-17}{4.5}[/tex] ) = 0.08
P(Z < [tex]\frac{x-17}{4.5}[/tex] ) = 0.08
In the z table the critical value of z that represents the below 8% of the area is given by -1.43, that is;
[tex]\frac{x-17}{4.5}=-1.43[/tex]
[tex]{x-17}{}=-1.43\times 4.5[/tex]
x = 17 - 6.435 = 10.6 minutes
Hence, the travel time to work that separates the 8% of people with the shortest travel times from the other 92% with longer travel times is 10.6 minutes.