Answer:
$11.49
Step-by-step explanation:
How to solve this problem
Answer:
Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Step-by-step explanation:
We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i
Prime factors of 81 are: 3x3x3x3
and [tex]\sqrt{-1}=i[/tex]
Solving:
[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]
So, Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
If 47 divided by a power of 10 to get 0.047 what power of 10 was it divided by
Answer:
0.01
Step-by-step explanation:
cause 47 x 0.01 + 0.047
The power of 10 that you would dived it by would be 1,000.
Because here we have 3 option 10, 100, and 1,000. So what we would do is divide each one to that main number "47"
47 ÷ 10 = 4.747 ÷ 100 = 0.4747 ÷ 1,000 = 0.047Learn more at https://brainly.com/
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Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow.
Answer:
Step-by-step explanation:
Karim Corp. requires a minimum $8,600 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $9,000, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. Cash receipts Cash payments July $ 24,600 28,900 August $32,600 30,600 September $ 40,600 32,600 Prepare a cash budget for July, August, and September. (Negative balances and Loan repayment amounts (if any) should be indicated with minus sign. Round your final answers to the nearest whole dollar.) KARIM CORP. Cash Budget For July, August, and September July August $ 9,000 September Beginning cash balance Total cash available Preliminary cash balance Ending cash balance Loan balance $ 0 Loan balance - Beginning of month Additional loan (loan repayment) Loan balance - End of month
Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time
Answer:
Y=62x
Step-by-step explanation:
The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.
Given :
Car X travels 186 miles and 3 hours.
The following steps can be used to determine the equation of the line that describes the relationship between distance and time:
Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.
Step 2 - The speed is given by the ratio of distance to time.
[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]
Step 3 - Now, put the value of distance and time in the above equation.
[tex]\rm Speed = \dfrac{y}{x}[/tex] ---- (1)
Step 4 - According to the given data the speed is given by:
[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]
Step 5 - Now, put the value of speed in equation (1).
[tex]\dfrac{y}{x}= 62[/tex]
y = 62x
The equation of the line that describes the relationship between distance and time is (y = 62x).
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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim
Answer:
Claim cannot be rejected
Step-by-step explanation:
We solve this by using hypothesis testing
H0: mean = 40
H1: mean ≠ 40
We have samples of 30, but we were not gives the population standard deviation. We used the t distribution
T score = 39.2-40/(7.5/√30)
= -0.5842
Degree of freedom = 30-1 = 29
Then p value = 0.5636
In conclusion, we fail to reject the null hypothesis since 0.5636 > 0.01 significance level.
So company's claim cannot be rejected
If P(A or B) = 0.8, P(A) = 0.3, and P(A and B)= 0.15, find P(B).
P(B) =
(Simplify your answer. Type an integer or a decimal.)
9514 1404 393
Answer:
P(B) = 0.65
Step-by-step explanation:
The appropriate formula is ...
P(A or B) = P(A) +P(B) -P(A and B)
Then P(B) is ...
P(B) = P(A or B) +P(A and B) -P(A)
P(B) = 0.8 +0.15 -0.3
P(B) = 0.65
Suppose you deposit $2,500 in a savings account that pays you 5% interest per year.
a. How many years will it take for you to double your money?
b. How many years will it take for your account to reach $8,000?
Answer:A=4 Years B=6 years
Step-by-step explanation:
The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...
6.2
O 6.4
O 1.4
which one ?
if f = 3, g = -4 and h = -5
[3-h]+13
sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?
Answer:
4/10 of a liter
Step-by-step explanation:
if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so
100/25=4
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
What do I do?????????
Answer:
7
Step-by-step explanation:
So its three girls and each of them get the same amount. All you really have to do is divide 21 by 3 which is 7.
They each get to spend $7.
determine if the 2 triangles are similar or not. if they are similar choose the correct similarity theorem below.
A
B
C
D
Kesha it’s plain to rent a van for a trip to Mt.rainier two of her friends each went to the same type of van from the same car rental company last week
Answer:
a
Step-by-step explanation:
what's the area of the quadillateral
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!
Answer: can it be a bit clearer pls?
Step-by-step explanation:
The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6
Answer:
The mode is the value that appears most frequently in a data set
Step-by-step explanation:
so it will be 0 and 5
Answer:
0 and 5
explanation:
Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?
Answer:
Price of tne Vest + $40 - 1.40 = $38.6
Step-by-step explanation:
3.5% * n = $1.40
0.035 * n = $1.40
0.035/0.035 * n = $1.40/0.035
n = $40
The price of the vest not including the tax is, $40
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products
Now,
Let p = price of a vest
Hence, from the question, this equation can be formed,
⇒ 35% of p = $1.40
⇒ 0.035 x p = $1.4
divide both sides of the equation by 0.035;
⇒ p = $40
Thus, The price of the vest not including the tax is, $40
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Complete question is this;
Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%
Find does angles
Help pls I have 15 min only .
Answer:
22 for x 45 for 4x+3 36 for 3x+2
Step-by-step explanation:
Trust me this is easy
Answer:
4x+2 =90°
3x+2=68°
x=22
Step-by-step explanation:
The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.
Help Please, im stuck on this question.
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
patricia has 45.82 in her checking account. How much does she have in her account after she makes a deposit of 120.75 and a withdraw of 185.90
Answer:
-19.43
Step-by-step explanation:
You got to add 120.75 to 45.82 then you subtract it from 185.90
comment if this helps :)
1. Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.
2. Jovie earns $8.25 for the hours that she is at work. This week she earned $288.75. Write an equation to solve how many hours she worked. Use x for the variable and do not have any spaces. Pls help :(
Answer:
Chicken nugget
Step-by-step explanation:
HEYYYYYYYYYYYY ONCE AGAIN THIS IS ONLY 3 OF 30 PlS HELPPP
Answer:
the 3rd one im pretty sure
Step-by-step explanation:
Answer:
the 3rd one <3
Step-by-step explanation:
Estimate 32% of 19.
Answer: 6.08.
Explanation: 32% × 19 = 6.08.
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?
A.
2
B.
4
C.
8
D.
48
Answer: It's A. 2.
Step-by-step explanation:
Answer:
its not a
Step-by-step explanation:
A gas tank holds exactly 13 gallons. If the tank is 2/3 empty, how many gallons remain in the tank? (Round your answer to the nearest tenth)
Group of answer choices-
4.3
5.5
6.5
8.7
What does "(-2)(6)" mean
Answer:
Step-by-step explanation:
it means that you do negative 2 times 6. That is -2 x 6, which is -12
Answer:
implied multiplication
Step-by-step explanation:
(-2)(6)
When two parentheses are next tow each other, there is implied multiplication
-2 * 6
-12
PLEASE HURRY) The graph indicates the running route for Tobias
Which best describes his run
A. From time 0 to 6, he went fast and then slowed down.
B. From time 6 to 10, he was at his slowest.
C. From time 12 to 14, he went very slow.
D. From time 14 to 18, he went toward the starting point.
Answer: B. From time 6 to 10, he was at his slowest.
Step-by-step explanation: I just took the same quiz so HURRY!!!
Answer:
b
Step-by-step explanation:
What is the vertex of the following: y=1/4x^2+2x+6
Answer:
Yea i definitly just lost brain cells
Step-by-step explanation:
A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.
Answer: 0.79758
Step-by-step explanation:
Given that :
Mean (m) = 2.5
Variance = 0.36
Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6
The probability of the random variable having a value less than 3 is obtained by:
P(x < 3)
Using the relation to obtain the standardized Zscore :
Z = (x - m) / s
Z = (3 - 2.5) / 0.6
Zscore = 0.8333333
p(Z < 0.833) = 0.79758 ( Z probability calculator)