Answer:
42.40705%
Step-by-step explanation:
(1 - (23/100)^(19/9) = 1 + r/100
0.57593 = 1 + r/100
r = 42.40705%
Frank and Chris both took the ABC achievement test, which is N(950,50). If frank had a z-score of 2.5 and Chris had a
score of 675, how much higher was Frank's score?
1075
1700
400
525
none of the above
======================================================
Explanation:
The notation N(950,50) tells us that we have a normal distribution with the following parameters:
mu = 950 = meansigma = 50 = standard deviationUse the z score z = 2.5 to convert to its raw score x
z = (x-mu)/sigma
2.5 = (x-950)/50
2.5*50 = x-950
125 = x-950
x-950 = 125
x = 125+950
x = 1075
Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.
Autumn wants to invest $1000. The table below shows the value of her investment under two different options for three different years:
Number of years 1 2 3
Option 1 (amount in dollars) 1100 1200 1300
Option 2 (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, can be used to describe the value of the investment after a fixed number of years using option 1 and option 2? Explain your reasoning. (4 points)
Part B: Autumn wants to invest in an option that would help to increase her investment value by the greatest amount in 7 years. Will there be any significant difference in the value of Autumn's investment after 7 years if she uses option 2 over option 1? Explain your answer, and show the investment value after 7 years for each option if the equation for option 1 is f(x)=100x + 1000 and the equation for option 2 is g(d) = 1000(1.1)d
Answer:
See belowStep-by-step explanation:
Part AAccording the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.
It means the function is linear in option 1 and exponential in option 2.
Part BCalculate the amount of total value in each case substituting x or d by 7 and compare the amounts:
f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:
$1948.72 - $1700 = $248.72solve for x and explain the steps:
3x-6=4(2-3x)-8x
Answer: x = 14/23
Step-by-step explanation:
3x-6=4(2-3x)-8x
3x-6=8-12x-8x --> Expand 4(2-3x)
3x-6=8-20x --> Collect like terms
3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side
3x=-20x+14
3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side
23x=14
[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23
x = 14/23
helppppppppppppppppppppppppppppppppppppppp
The height and age of
a child.
Student Recording Sheet
Is it positive correlation, No correlation , or negative correlation ?
Answer: positive correlation
Step-by-step explanation:
sorry if im wrong
4 x 1/3 x 3/4 x 1/3 as a fraction or whole number
Answer:
Step-by-step explanation:
To multiply fractions just multiply top × top × top × top ( and write it on top) Then multiply bottom × bottom × bottom × bottom. Whenever you can reduce or simplify the result, make sure you do that too. Since the whole entire problem is all times-ing (and dividing bc fraction bar is just dividing) you could "cancel" numbers that are in the top and bottom that are the same. See image.
Find the 82nd term of the arithmetic sequence —8, 9, 26, ...
what is 2/3 x 9/8 as a fraction in simplest form
Answer: [tex]\frac{3}{4}[/tex]
Have attached the picture for explanation...
The product of the fraction in the simplest form is 3/4
What is a fraction?A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
What is the product of the fraction?2/3 x 9/8 = 18/24 = 3/4
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Sherrod and Kamar are planning to drive at most 900 miles road trip. Sherrod drives at 60 miles per hour, and Kamar at 50 miles per hour. Let x represent the distance Sherrod drives and y represent the distance Kamar drives.
a. Write an inequality that represents the miles that Sherrod and Kamar drive.
b. GIve 2 possible combinations of miles that Sherrod and Kamar can drive that satisfy the inequality.
The inequality gives the total expected journey from the road trip, such that the time during which Sherrod and Kamar drives is known.
a. The inequality that represents the miles that Sherrod and Kamar drives is; x + y ≤ 900b. Two possible combination of x and y are; (600, 300) and (300, 600)Reasons:
a. The distance distance Sherrod and Kamar plan to drive ≤ 900 miles
Sherrod's speed = 60 mph
Kamar's speed = 50 mph
The distance Sherrod drives = x
The distance Kamar drives = y
a. The miles driven by Sherrod and Kamar is given by the inequality;
x + y ≤ 900b. Two possible combinations are;
First possible combination;
Sherrod drives for 10 hours, which gives;
Distance Sherrod drives = 60 mph × 10 hour = 600 miles
Kamar drives for 900 miles - 600 miles = 300 miles
Which gives;
Sherrod drives for 600 miles and Kamar drives for 300 miles
First combination; (600, 300)Second possible combination;
The second possible combination is Sherrod drives for 300 miles and Kamar drives for 600 miles
Second combination; (300, 600)Learn more about inequalities here:
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Classify the number -5
Integer
1. Whole Number
2. Irrational Number
3. Natural Number
Answer:
1. Whole number
Step-by-step explanation:
It's a negative number, but it is not a decimal, therefore it is a whole number.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
B. 2
Step-by-step explanation:
1.87
11 x 17 / 100 = 1.87
You are virtually racing against your friend who lives on Spain where they use the metric system. You measured that you ran 430 feet per minute and your friend measured that they ran 6.5 kilometers per hour. Which of you is faster?
Jeremy got a haircut and paid 15% as a tip. What percent of the cost did Jeremy pay the barber, including the tip?
The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.
Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:
= 100 + tip
= 100 + (100 x 15%)
= $115
In percentage this is:
= 115/100 x 100%
= 115%
In conclusion, Jeremy would pay 115% of the tip.
Find out more at https://brainly.com/question/22444616.
What is -7w-4-5w+13 simplified?
Five Times the difference of a number and three is less than twice the number.
find the numbers?
Answer:
The number is 5
Step-by-step explanation:
5(x - 3) < 2x
5x - 15 < 2x
-15 < -3x
5 > x
Answer:
It can be any negative number
Step-by-step explanation:
5(x - 3) < x
x = -1
5( -4) < -1
-20 < -1
You can do this with any negative number
Choose all the number lines that show equivalent fractions.
A.
+
1
0
j
1
B.
o
+
1
이고
0
1
+
+
+
1
D.
0
1
-
AU E.
0
+
1
Plz help me this is my exam no links
Answer:
a and d
Step-by-step explanation:
Answer quicklyy please
Answer:
B
Step-by-step explanation:
Because to have the problem fully divided she would have to subtract 40 once more time to get 1 as a remainder.
Hopes This Helps :)
A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
Answer:
394 km
Step-by-step explanation:
197 is 197/60 times as much as 60
so the distance is also that much more: 120 km * 197/60 = 394
= 3 and 1/2 × 3 and 1/2
Step-by-step explanation:
please mark me as brainlest
Need NOW help FAST PLS . hs geometry
Hope you could get an idea from here.
Doubt clarification - use comment section.
10/11 x 3/7 x 1/2 Multiply. Write your answer as a fraction in the simplest form.
Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77
Simplification of fractionsFractions are written as a ratio of two integers
Give the expression
10/11 x 3/7 x 1/2
This can also be written as:
10/2 * 1/11 * 3/7
= 5/11 * 3/7
= 15/77
Hence the product of the fractions in its simplest form is 15/77
Learn more on fractions here: https://brainly.com/question/78672
#SPJ2
What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0)?
Enter your answers in the boxes.
y−
=
(x−2)
Answer:
y = -5x + 15
Step-by-step explanation:
We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.
We can determine a slope from the two given points by calculating a Rise/Run. Starting at (2,5) and going to (3,0):
Rise = (0 - 5) = -5
Run = (3-2) = 1
Rise/Run = Slope, m) = -(5/1) or -5
Now we have y = -5x + b
To find b, enter either of the two points and solve for b. I'll use (3,0), because I know my zero multiplication and addition tables by heart.
y = -5x + b
0 = -5(3) + b
b = 15
The equation becomes y = -5x + 15
See attachment.
(1, 5), (2, 7), (3, 10), (4, 12) solve for domain
D={5, 7, 10, 12}
D={1, 2, 3, 4}
D={1, 5, 2, 7}
Cannot be determined
will mark brainliest help
Answer:
1 = 8 and 50
2= 50 and a
Step-by-step explanation:
A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image during the rotation?
A. 1 time
B. 3 times
C. 12 times
D. 6 times
The image of the regular hexagon coincides with the pre-image 6 times during rotation.
A regular hexagon is a polygon that has six equal sides and six equal angles.
In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.
Learn more about regular polygon here:
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Answer:
6
Step-by-step explanation:
I just took the test
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. A wire is needed to support a vertical pole 8 feet tall. The cable will be anchored to a stake 6 feet from the base of the pole. How much cable is needed?
Answer: The answer is 10 feet of cable.
Quien me ayuda? pls!!!
Answer:
The answer is B
Step-by-step explanation:
You need to find the derivitive of the equation and ,ultiply by B!!!
What is the cash payment of a article costing RS.2020 allowing a discount of Rs.20 and levying 13% VAT?
The cash payment for the article is RS. 2,260.
A discount reduces the price of an item. The article becomes cheaper after the discount.
Cost of the article after the RS. 20 discount = RS. 2020 - 20 = RS 2000
VAT means value added tax. VAT increases the price of an item. The cost of the article increases by 13% after the VAT is levied,
Cost of the article = (100 + 13%) x 2000
1.13 x 2000 = RS 2,260.
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Math is multi-cultural, analytical, timeless and hands-on. Provide a piece of mathematical concept, hypothesis, law, paradox, rule or theorem to prove this statement.
It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.
Mathematics is multicultural and it's neutral from the issues of races, gender, class, etc. Also, it should be noted that mathematics is analytical.Furthermore, mathematics is timeless and hands-on. This implies that students need to touch and feel what they're learning through a concrete experience.Learn more about mathematics on:
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50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?
B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-
Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-