Answer:
The answer is 4062.39
Step-by-step explanation:
A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.
The amount of money after 8 years will be $4062.38.
What is compound interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-
Amount = P [ 1 + ( r / n )]^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸
Amount = 2400 [1.068 ) ] ⁸
Amount = 4062.38
Therefore, the amount of money after 8 years will be $4062.38.
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A manufacturer of game controllers is concerned that their controller may be difficult for left handed users. They set out to find lefties to test. About 13% of the population is left handed. If they select a sample of five customers at random in their stores, what is the probability of each of the following outcomes?
a. The first lefty is the fifth person chosen
b. There are some lefties among the 5 people
c. The first lefty is the second or third person
d. There are exactly 3 lefties in the group
e. There are at least 3 lefties in the group
f. There are no more than 3 lefties in the group
Answer:
a)0.074
b)0.502
c)0.2114
d)0.0166
e)0.01790
f)0.9987
Step-by-step explanation:
Probability of being left handed = 0.13
Probability of being not left handed = 1-0.13 =0.87
They select a sample of five customers at random in their stores
a. The first lefty is the fifth person chosen
Probability that first lefty is the fifth person chosen =[tex]0.87 \times 0.87 \times 0.87 \times 0.87 \times 0.13=0.074[/tex]
b)There are some lefties among the 5 people=[tex]1-P(x=0)=1-0.87^5=0.502[/tex]
c)The first lefty is the second or third person=[tex]0.87 \times 0.13 + 0.87 \times 0.87 \times 0.13 =0.2114[/tex]
d)
[tex]P(x=3)=^5C_3 (0.13)^3 (0.87)^2=\frac{5!}{3!2!}(0.13)^3 (0.87)^2=0.0166[/tex]
e)
[tex]P(x\geq 3)=P(x=3)+P(x=4)+P(x=5)\\P(x\geq 3)=\frac{5!}{3!2!}(0.13)^3 (0.87)^2+\frac{5!}{4!1!}(0.13)^4(0.87)^1+\frac{5!}{5!0!}(0.13)^5 (0.87)^0=0.01790[/tex]
f)
[tex]P(x\leq 3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)[/tex]
[tex]P(x\leq 3)=\frac{5!}{0!5!}(0.13)^0 (0.87)^5+\frac{5!}{4!1!}(0.13)^1(0.87)^4+\frac{5!}{2!3!}(0.13)^2 (0.87)^3+\frac{5!}{2!3!}(0.13)^3 (0.87)^2=0.9987[/tex]
Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.
Answer:
9.9%
Step-by-step explanation:
Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
9.9%, which could be rounded to 10% or 9%.
Write the sum as the logarithm of a single expression. Assume that variables represent positive numbers.
log68+log6z
both 6 are exponents on the bottom.
please help.
Answer:
6z log 6Step-by-step explanation:
Use of property
log ab = log a + log blog a^b = b log aGivenlog 6^8 + log 6^zSolutionlog 6^8 + log 6^z =log (6^8*6^z) =log (6^6z) =6z log 65x - 10 = 4 + 6
Оа
10x - 20 = 10
Oь
5x - 10 = 10
Ос
X - 10 = 6
Od
3(5x - 10) = 30
5x = 0
5x = 20
Answer:
1.x=4
2.x=3
3.x=4
4.x=16
5.x=4
6.x=0
7.x=4
Answer:
1. x=4
2. x=3
3. x=4
4. x=16
5. x=4
6. x=0
7. x=3.9
Step-by-step explanation:
Determine the value of y, if x is – 1.
y = |x| – 4
Answer:
y = -3
Step-by-step explanation:
y = |x| - 4
y = |-1| - 4
y = 1 - 4
y = -3
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.
1. What are the side lengths of the scaled copy?
2. Suppose you want to scale the copy back to it's original size. What scale factor should you use?
Answer:
To get the new scaled copy length and width just multiply by seven (2x7 & 3x7)
New length would be 14 because it's "seven times" the original size
New width would be 21
Step-by-step explanation:
1.) 14 and 21
2.) 14 divided by 7 will give you 2
and 21 divided by 7 will give you 3
The answer for question 2 would be to divide your new answers (21 and 14) by the scaled factor of 7.
90 men and 60 women were asked if they had watched the latest 'Expendables' movie.
Altogether 3/5 of the people said Yes.
3/10 of the women said Yes.
What percentage of the men said No?
Show your work
PLEASE HELP DUE TODAY THANK YOU SO MUCH.
.
Answer:
63 men said no.
Step-by-step explanation
3/5 * 2/2 = 6/10, 6/10 - 3/10 (women) = 3/10 meaning 7/10 men said no. 90*1.7 = 153, 153-90=63
Answer:
30%. Remember the question is what percentage?
Step-by-step explanation:
Given Informations:
Men = 90
Women = 60
Total number (men + women) = 150. ...... (1)
For Yes Members,
3/5 of the people said YES.
3/5 of 150 = 90 ....... (2)
This means that out of 150, 90 people said YES.
However, we dont know what ratio are men or women all we can deduce is that 90 said YES.
From the question, 3/10 are women that said YES.
Meaning 3/10 of 90 are women = 27. .. (3)
27 women said YES therefore
90 -27 = 63 Men said YES.
FOR NO Members,
If 90 out of 150 said yes, then 60 said NO.
However, we dont know the ratio of Men and Women that said NO. What we can do is to solve it from the known to the unknown.
For Men,
The total number is 90.
63 said YES, therefore (90 - 63 ) definitely said NO.
= 27 Men said NO (4)
For Women,
The total number of women is 60
27 said YES, Therefore (60 - 27) said NO
= 33 women said NO. ( 5)
The question is what percentage of Men said NO?
Percentage =
number of men that said NO / The total number of Men * 100
= 27/90 * 100
=30%
To Prove the Answer
If you agree with Eq 2, which says 90 people said yes. Therefore, (150 -90) = 60 said NO.
Remeber the 60 is inclusive of Men and Women.
Let's see, if we will get 60 when we add the number of men and women we got that said NO.
Add the value in Eq 4 + Eq 5.
27 + 33 = 60.
Axel runs 10 kilometers in 85 minutes. At the same rate, how many minutes would he take to run 8 kilometers?
Answer:
68
Step-by-step explanation:
85/10= 8.5 (sp he's running each km in 8.5 mins)
8.5x8= 68
Simplify 3y – 5(y + 2)
Step-by-step explanation:
Hey there!
Given; 3y - 5(y+2).
Multiply 5 and (y+2)
3y - 5y - 10
Simplify to get answer.
-2y -10
Take 2 and (-) common.
-2(y+5)
Therefore, the simplified form is -2(y+5).
Hope it helps...
Answer:
Step-by-step explanation:
3y - 5 ( y + 2)
= 3y - 5y - 2
= -2y -2
5.) Consider a square with side lengths x.
Write an equation for the perimeter p of the square, then rearrange the equation to make x the subject
Answer:
The perimeter p of the square is:
[tex]p=4x[/tex]
And in terms of x:
[tex]\displaystyle x = \frac{1}{4}p[/tex]
Step-by-step explanation:
Part A)
We are given a square with side lengths x.
Recall that all four sides of a square are equivalent. Therefore, our perimeter is:
[tex]\displaystyle \begin{aligned} p & = x + x + x + x \\ \\ & = 4x\end{aligned}[/tex]
Part B)
To make x the subject of the equation, divide:
[tex]\displaystyle \begin{aligned} p & = 4x \\ \\ x & = \frac{p}{4} \end{aligned}[/tex]
Emma pays $108 every six weeks for tennis lessons. What is the price per year?
Answer:
The price per year would be $936.36
Step-by-step explanation:
there's a 52 weeks in a year, so divide it by 6 then multiply it by 108.
52/6= 8.67
8.67×108= $936.36
Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101. Suppose Jason, a policy manager at a local university, decides to take a random sample of 125 university students to survey them about their drinking habits. Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places.
Answer:
4.10
0.17
Step-by-step explanation:
From the question, we know that
A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.
Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.
To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.
On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have
Standard Deviation, S = 1.9101 / √125
Standard Deviation, S = 1.9101 / 11.18
Standard Deviation, S = 0.17
Therefore, the Standard Deviation is 0.17
Answer:
The values are
[tex]\mu_{\= x } = \mu = 4.10[/tex]
And
[tex]\sigma _{\= x} = 0.38202[/tex]
Step-by-step explanation:
The population mean is [tex]\mu = 4.10[/tex]
The standard deviation is [tex]\sigma = 1.9101[/tex]
The sample size is n = 125 students
Generally the mean of the sampling distribution of the sample mean is equivalent to the population mean
i.e [tex]\mu_{\= x } = \mu = 4.10[/tex]
Generally the standard deviation of the sampling distribution of the sample mean alcohol consumption is mathematically represented as
[tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma _{\= x} = \frac{1.9101 }{\sqrt{125} }[/tex]
=> [tex]\sigma _{\= x} = 0.38202[/tex]
Work out the value of X
Answer:
x = 39
Step-by-step explanation:
3x - 15 + 2x + 2x + 2x +24 = 360
9x = 360 + 15 - 24
9x = 351
x = 39
-8x + 40 greater than -16
Answer:
x > 7
Step-by-step explanation:
First, you start off with :
-8x + 40 > -16
Then you subtract 40 on both sides.
You get -8x > -56.
Next, you divide -8 on both sides. Cancel out the -8/-8.
After dividing, you have x > 7
Therefore the answer is x > 7!
If you have a question comment it.
Answer:x<7
Step-by-step explanation:
Calculate it on Google
What is the value of g(2)?
Answer:
2g
Step-by-step explanation:
I need help ASAP PLEASE SOLVE
Answer:
the second one has the grater y nter...
Step-by-step explanation:
The endpoints of AB are A(–7, –6) and B(5, 6). What are the coordinates of point C on AB that is 1/3 the distance from point A to point B?
Answer:
C
Step-by-step explanation:
find the distance between the two points and divide that by 3 first,
then you estimate the point that is from point A with that 1/3 distance
The coordinate of point C such that point C on AB that is 1/3 the distance from point A to point B is (-3,-2) so option (C) will be correct.
What are coordinates?A pair of numbers is used to express a point's position on a coordinate plane using the horizontal and vertical distinctions from the two reference axes. usually represented by pairs of x-values and y-values (x,y).
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂) is given by
x = [m(x₂) + n(x₁)]/(m + n)
y = [m(y₂) + n(y₁)]/(m + n)
Here m = 1/3 and n = (1-1/3) = 2/3
And coordinates A(–7, –6) and B(5, 6).
So,
x = [ 1/3(5) + 2/3(-7) ]/ 1
x = -3
And,
y = [ 1/3(6) + 2/3(-6) ]/ 1
y = -2
So (-3,-2) will be the coordinate of point C.
Hence "The coordinate of point C is (-3,-2).
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The oakville high school marching band band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $3.50 per roll.The band needs to earn $2500 for an upcoming competition. If the bad Sells 325 rolls of printed paper,write and solve a linear equation to find the number of solid paper they must sell
6.785 3 rounded to the nearest thousand
Answer:
6.8
Step-by-step explanation:
Answer:6.7850 also it's thousandth :)
Step-by-step explanation:
The fourth graders and fifth graders at Valley Point Elementary are going on a field trip. There are 148 fourth graders and 96 fifth graders. There are also 18 teachers going. If 54 people can fit on one bus, how many buses are needed for all of the students and teachers?
Answer:
5
Step-by-step explanation:
Which expression is represented by the phrase “the square of y decreased by quotient of 36 and 6”?
Answer:
√y-6
Step-by-step explanation:
36/6=6
36 is the dividend, 6 is the divisor and 6 is the quotient.
Answer:y^2-6 step by step
Step-by-step explanation:
X+Y=4.25
16.90X+4Y=36.35
What are the values of X and Y
Answer:
Y = 2.75X = 1.5Step-by-step explanation:
X+Y=4.25
16.90X+4Y=36.35
That means that;
X = 4.25 - Y
Substituting X into the second equation is;
16.90 * (4.25 - Y) + 4Y = 36.35
71.825 - 16.90Y + 4Y = 36.35
71.825 - 12.90Y = 36.35
71.825 - 36.35 = 12.90Y
Y = 35.475/12.90
Y = 2.75
X = 4.25 - Y
= 4.25 - 2.75
= 1.5
From the computation done, the value of X is 2.75 and Y is 1.5.
The following information can be depicted:
X + Y=4.25 .... i
16.90X + 4Y=36.35 ..... ii
From equation i
X = 4.25 - Y
We'll substitute X into the second equation and this will be:
16.90(4.25 - Y) + 4Y = 36.35
71.825 - 16.90Y + 4Y = 36.35
71.825 - 12.90Y = 36.35
Collect life terms
71.825 - 36.35 = 12.90Y
Y = 35.475/12.90
Y = 2.75
Since X = 4.25 - Y
X = 4.25 - 2.75
X = 1.5
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PLZ HELP I NEED THIS ANSWER IM BEING TIMED
Answer:
The answer is -3. Hope that helped
2x80 pl help me ASAP if you can
Answer:
160
Step-by-step explanation:
PLEASE ANSWER ASAP Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?
Answer:
Well, lets break this down.
If you try to add 26 + 26 it would be 52, which is above 48.
So, we have to find how many books he can read in one month.
All we have to do, is divide!
14 = dividend
26 = divisor
Step 1:
Start by setting it up with the divisor 26 on the left side and the dividend 14 on the right side like this:
26⟌14 Then do the rest, ill wait.
once you have a answer, that is how much he reads a month.
now multiply by 48.
is ben dover someone's actual name
Answer: yes
Step-by-step explanation: it’s was some poor old mans name on the news XD
X= 4y + 2
3x - 12y = 6
PLEASE HELP I DONT WANT TO FAIL
The IQ of 10 adults is measured, and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the range of the data set. (4 points)
A: 83−121
B: 38
C: 96.5
D: 204
Answer:
B
Step-by-step explanation:
range = biggest - smallest
121 - 83 = 38
range = 38
the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.
Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
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NEED HELP ASAP!!
.What is the solution of the linear system?
–3x + 3y = 5
–x + y = 6
Question 16 options:
A)
No solution
B)
(–3,2)
C)
Infinitely many solutions
D)
(1,–6)
Answer:
It's C. Since both equations are parallel, that means that there is infinite solutions!
Answer:
No solution
Step-by-step explanation:
solve for the first variable then substitute the result in the other equation
Which expressions of signed decimal numbers have negative quotients? Check all that apply.
1.4 ÷ 99.9
5.7 ÷ –2.2
–0.01 ÷ 0.05
–3 ÷ –0.009
0 ÷ –8.6
Answer:
im sorry im late but its b and c
Step-by-step explanation: