Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
You would use pemdas to solve this so since there is no parentheses, exponents, or multiplication you would do the division first and then the subtractions then addition because the subtraction comes first in this equation. 6 divided by 3 is 2 then 8 - 2 = 6 and then 6 + 11 = 17
Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Round your answer to the nearest dollar and do not round until the final answer.
Answer:
$24,992
Step-by-step explanation:
The equation for simple interest is I = PRT where I is the interest earned, P is the principal deposited/borrowed, R is the rate as a decimal, and T is time in years.
I = (17,600)(0.084)(5)
I = 7,392
The total amount that must be repaid is the interest + the principal:
7,392 + 17,600 = 24,992
Please let me know if you have questions
A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down during the warranty period. Suppose an auto store makes a net profit of $20 on batteries that stay trouble-free during the warranty period; it makes a net loss of $10 on batteries that break down. The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.
Required:
a. What is the probability that a battery will break down during the warranty period?
b. What is the expected profit of the auto store on a battery?
c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?
Answer:
a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.
b) The expected profit of the auto store on a battery is of $15.239.
c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.
This means that [tex]\mu = 40, \sigma = 16[/tex]
a. What is the probability that a battery will break down during the warranty period?
Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 40}{16}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.1587 = 15.87% probability that a battery will break down during the warranty period.
b. What is the expected profit of the auto store on a battery?
1 - 0.1587 = 0.8413 probability of a profit of $20.
0.1587 probability of a loss of $10. So
[tex]E = 0.8413*20 - 0.1587*10 = 15.239[/tex]
The expected profit of the auto store on a battery is of $15.239.
c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?
Multiplying the average for a battery by 500. So
15.239*500 = $7,619.50
The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.
The Lemonade War is a book with 14 chapters. Each chapter
represents a
of the book. *
quarter
half
fraction
O third
Y=-4. Y=x-8 solve for substitution
Answer:
ok
Step-by-step explanation:
I think
CAN SOMEONE LLEASE HELP ME IM SO LOST!!
Answer: 1324 in^2
Step-by-step explanation:
Which of the following shows the correct first step to solve x^2-16x=-21 by completing the square? I'll give brainiest ASAP
`
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The perfect square of the given expression can be created by adding 36 to the expression, then the expression will reduce to,
(x-6)² = x² - 12x + 36
Hence, the correct option is C.
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Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?
Answer:
$124.95Step-by-step explanation:
The length of the strip is equal to perimeter of the kitchen.
P = 2(4.2 + 6.3) = 21 mCost of the strip is:
21*$5.95 = $124.95Help please thanks!!!
Answer:
Four tenths
Step-by-step explanation:
You are correct. The dot is on 0.4. the 4 is in the tenths place, so four tenths.
Need help with full work quick
Answer:
Step-by-step explanation:
36x^3 - 81x
9x(4x^2 - 9)
9x(2x - 3)(2x + 3)
She is right
At the beginning of January of the current year, Thomas Law Center's ledger reflected a normal balance of $55,000 for accounts receivable. During January, the company collected $17,800 from customers on account and provided additional services to customers on account totaling $14,000. Additionally, during January one customer paid Thomas $6,500 for services to be provided in the future. At the end of January, the balance in the accounts receivable account should be:
look at pic 10 pts will mark brainilest
Answer:
C) It will not change
Hope this helps! :)
Can someone please help me?
Answer:
D
Step-by-step explanation:
This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].
please help no links please.
Answer:
I think it's A, if you just subtract 25 from each top # you should get the right one
edit; yah it's A
Answer:
B is the correct answer
Step-by-step explanation:
Look at the graph. For every day, there should be 25 less containers of peanuts than popcorns. Let X represent popcorns. Everyday, X - 25 should be your amount of peanut containers.
Only A and B works, so now just add the total amount of containers for both peanuts and popcorns.
225 + 200 + 150 + 300 + 200 + 175 + 125 + 275 = 1650
Only B matches the description of 1650 total containers. So, B is your answer.
What is the distance between (2,8) and (8, 16)?
Answer:
For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.
(6, 8)
Step-by-step explanation:
please mark this answer as brainliest
Answer:
10
Step-by-step explanation:
which of the following is equal to the rational expression?
Answer:
d
Step-by-step explanation:
please mark as brainliest if correct
thank you
have a great day/night
:)
Plzzzz answer fast..
Answer:
A) Yes; AA Similarity
Step-by-step explanation:
Yes; AA Similarity
Get this answer correct u get a brainleist
That is the volume of a basketball
if u look it up u dont get it
Answer:
Imma guess around 350 cubic inches
Step-by-step explanation:
I'm just going off of my hand compared to my basketball
Answer:
About 433.526 inches^3
Step-by-step explanation:
Goal: Calculate the volume of a Basketball as accurately as possible. Objective 1: Calculate the volume of a basketball.
Step One: Find the radius of the basket ball inflated at 8 PSI. To do this we used a string to measure the circumference of the basket ball arriving at a measurement of 29 inches. Next we inserted that number into the formula C = 2πR where C= circumference and R= Radius. We found that where C= 29inches, R= 4.615 inches.
Solve with Volume of a ball or sphere = 4/3*pi*radius
What do you need to do first to solve this equation? -62 +4= -20
Answer:
Add -62 and 4
Step-by-step explanation:
Step-by-step explanation:
-62+4=-20
-58=-20
58=20
Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answer:
The answer is 23 chocolates
Step-by-step explanation:
You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23
Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?
Answer:
(gof)(x) = x² + 2x + 1
Step-by-step explanation:
You can solve this by plugging f into g and finding the result:
(gof)(x) = f(x)²
= (x + 1)²
= x² + 2x + 1
Zach wants to paint the top of the table shown. What is the approximate area that he will paint? Use 3.14 for pi Round to the nearest whole number of inches.
Answer:
≈4776
Step-by-step explanation:
r=78/2
r=39
A=3.14r^2
A=3.14(39)^2
A=3.14*1521
A≈4776
Hope this helps :)
pleaseeeeee help me out quickkk solve for x
Answer:
x = 27.2
Step-by-step explanation:
Apply trigonometric function to solve for x.
Reference angle = 54°
Side length opposite to reference angle = 22
Hypotenuse = x
We would apply SOH:
Sin 54 = Opp/Hyp
Sin 54 = 22/x
x*sin 54 = 22
x = 22/sin 54
x = 27.1934955 ≈ 27.2 (nearest tenth)
Solve the inequality. m/-5 < or = 4
Answer:
M < or = -20
Step-by-step explanation:
Brainlist please
A random sample of 40 students from each grade level was surveyed regarding their preference for a class trip. If there are 220
members of the 7th grade class, then how many students can be expected to prefer the zoo?
zoo
MUSEUM
18
SPORTS COMPLEX
10
7TH GRADE
12
8TH GRADE
14
19
7
39
48
120
66
Answer:
66 students prefer the zoo
Step-by-step explanation:
I got it correct :)
Freddy swims at the community center each week. He wonders about the area of
the pool. He thinks he cannot figure it out because the pool is not rectangular. Can
you figure out the area of the swimming pool at Freddy's community center?
Answer:
Yes you can.
Step-by-step explanation:
Multiply length x width.
Other:
If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.
Find the interest earned on $5,750 deposited into a savings account for 3 1/2 years at an annual interest rate of 4.5%
The required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
Principal amount (p) = $ 5750, Rate = 4.5%
Tenure or time = 3 1/2 = 3.5 years. Interest earned to be determined.
Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.
Here,
[tex]Interest = principle*rate*time[/tex]
Interest = 5750 * 4.5%*3.5
interest = 5750*0.045*3.5
= 2587.75*3.5
= 905.63
Intrest earned = $905.63 against $5,750 deposited into savings account for 3 1/2 years.
Thus, the required interest earned on $5,750 deposited into savings account for 3 1/2 years at an annual interest rate of 4.5% is $905.63.
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PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠GHJ and ∠FEC
Step-by-step explanation:
Alternate exterior angles are two angles that lie on the outer part of the parallel lines but on different sides.
∠GHJ and ∠FEC lie on the outer parts of the parallel lines, but different sides.
∠GHJ is on the lower left side.
∠FEC is on the upper right side.
What is the surface area of the tent?
Answer:
i think the answer is 105.96
solve each system by eliminating one of the variables by addition or
subtraction.
Answer:
1) x- y = 8
x + y = 12
eliminate one variable by adding the equations
2x = 20
divided by 2 on both sides
x = 10
substitute the value of x in the equation 1
10 - y = 8
-y = 8- 10
y =2
[x , y]
[10 , 2]
2) 2x - y = 4
3x + y = 6
eliminate one variable by adding the equations
5x = 10
x = 2
substitute the value of x in the equation
2(2) - y = 4
4 - y = 4
y = 0
[x ; y]
[2; 0]
3) x + 2y = 10
x + 4y = 14
multiply equation 1 by - 1
-x -2y = -10
x + 4y = 14
eliminate one variable by adding the equations
2 y = 4
y = 2
substitute the value of y in the equation 1
x + 2(2) = 10
x + 4 = 10
x = 6
[x ; y]
[6 ; 2]
4 ) 3x + y = 9
y = 3x + 6
simplify the expression
3x + y = 9
- 3x + y = 6
eliminate one variable by adding the equations
2y = 15
y = 15/2
substitute the value of y in equation 1
3x + 15/ 2 = 9
3x = 3/2
x = 1/2
[x ; y]
[1/2 ; 15/ 2]
5) 4x + 5y = 15
6x - 5y = 18
eliminate one variable by adding the equations
10 x = 33
× = 33/10
substitute the value of x in equation I
4 (33/10) + 5y = 15
66/5 + 5y =15
5y = 9/5
y = 9/25
[x ; y]
[33/10 ; 9/25]
6) 5x = 7y
x + 7y = 21
in equation I move the variable to the left
5x - 7y = 0
x + 7 y = 21
eliminate one variable by adding the equations
6x = 21
x = 7/2
substitute the value of x in the equation
5(7/2) = 7y
35/2 = 7y
5/2 = y
[x ; y ]
[7/2 ; 5/2 ]
A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.
Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?
Answer:
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Step-by-step explanation:
Very clear deck :
n1 = 38
x1 = 89.2
s1 = 3.1
Sure seal
n2 = 37
x2 = 92.4
s2 = 3.8
Confidence interval for difference in sample means :
(X1 - X2) ± margin of error
(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))
Using the degree of freedom calculator ; df = 70
Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))
Tcritical at 90% confidence interval, df = 70 = 1.688
Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)
Confidence interval :
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)