Answer:
188 cm^2.
Step-by-step explanation:
This consists of 3 pairs of rectangles
= 2 * 4*7 + 2 * 4*6 + 2 * 6*7
= 56 + 48 + 84
= 188.
you deposit 2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 15 years?
Answer:
It should be $2,900
Step-by-step explanation:
First you convert the percentage to decimal form out of 100
3%/100 = 0.03
A = P(1 + rt)
A = 2000(1 + 0.03 x 15)
Which you should get $2,900 or $2,900.00 (which is pretty much the same thing)
Hope this helps!
A student memorized the statement the product of any rational number and any irrational number is irrational. Label this statement as true or false, and explain your reasoning. A) True. For example, 3 ·5 is irrational, 7 · 2 3 is irrational, and (π)·(−4) is irrational. B) False. Suppose an irrational times a rational = rational, then irrational = rational rational . This means irrational = rational, which is a contradiction.Thus an irrational times a rational = rational. C) True. Suppose an irrational times a rational = rational, then irrational = rational rational . This means irrational = rational, which is a contradiction.Thus an irrational times a rational = irrational. D) False. The rational number cannot be zero. Suppose an irrational times a nonzero rational = rational, then irrational = rational nonzero rational . This means irrational = rational, which is a contradiction. Thus an irrational times a nonzero rational = irrational.
Answer:
A) True. For example, 3 ·5 is irrational, 7 · 2 3 is irrational, and (π)·(−4) is irrational.
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
What is the scale factor of ABC to DEF?
A.6
B.8
C.1/8
D.1/6
Answer:
eight
Step-by-step explanation:
The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.
What is a scale factor?The scale factor between two figures (any dimensions) is the scale to which the original figure (preimage) is multiplied to make the transformed figure (image).
How do we solve the given question?In ΔABC and ΔDEF,
AB/DE = BC/EF = CA/FD (Corresponding sides of triangle are in ratio)
∴ ΔABC ~ ΔDEF (SSS axiom)
The scale factor = A side of ΔDEF/Corresponding side of ΔABC = DE/AB = 48/6 = 8.
∴ The scale factor of ΔABC to ΔDEF is 8. Hence, option B is the right choice.
Learn more about the scale factor at
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A right rectangular prism is packed with cubes of side length Fraction 1 over 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
Leon already knew 24 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each week of school. After how many weeks of culinary school will Leon know a total of 100 appetizer recipes?
Answer: It will take him 38 weeks.
Step-by-step explanation:
We will model the situation by an equation.
Leon already knew 24 appetizer recipes so it will be permenant. He will learn to more each week so we can achieve the expression . 24 + 2x where x is the number of weeks.
If we want to know the number of weeks it will take him to learn 100 appetizer recipes then we will have to set the equation equal 100.
24 + 2x = 100 Now solve for x
-24 -24
2x = 76
x = 38
Name three Apex predators
Answer:
lions, tigers, and bears
Step by-step explanation:
They are apex predators because they are on top of the food chain.
If Maggie has 6 feet of ribbon how many sections of ribbon can she cut that are 2/3 of a foot in length
Answer:
9 sections
Step-by-step explanation:
6÷2/3
6/1×3/2
18/2
9
How many times can 5 go into 33
Answer:
6 times
Step-by-step explanation:
33÷5
5×5= 25 too little
5×6=30 just right
5×7= 35 too much
Answer:
5,10,15,20,25,30,3- oh wait its only 6 mate... but for a full answer, it would be 6.2
Step-by-step explanation:
i think...
You can walk 1 1/12 miles in 1/2 hour.
What is your average speed?
Answer:
3 miles per hour
Step-by-step explanation:
there are (2) 1/2 hours in an hour (I hope that made sense) so multiply 1 1/2 by 2 to get 3
Hope this helps :-)
Six months ago you won $1,000,000 on a scratch-off lottery ticket and invested your winnings with a financial advisor at the investment firm Dewey, Lie, and Howe. The earnings on the investment are compounded monthly.You complain to the financial advisor that your returns after 6 months are inadequate and do not even cover the advisor's fees. The 6 monthly interest rates (in decimal form) have been R1 = -0.4, R2= 0.67, R3 = 1.0, R4 = -0.5, R5 = 0.2, R6 = -0.165.1. What is the total worth of your investment after 6 months?$The financial advisor responds that you shouldn't complain because the average return over the 6 months has been an impressive 13.4% (0.134 in decimal form). You angrily respond that the average return is not representative of the 6-month investment performance, and that the geometric mean should be used instead.2. What is the geometric mean of the above monthly returns? (express as a decimal; round off to 3 decimal places)geometric mean
Answer:
The total worth of the investment after 6 months is T = $ 1004004
The geometric mean of the above monthly returns is [tex]\= G = 0.001[/tex]
Step-by-step explanation:
From the question we are told that
The growth for each month are
R1 = -0.4, R2= 0.67, R3 = 1.0, R4 = -0.5, R5 = 0.2, R6 = -0.165
The amount invested is [tex]A = \$ 1,000,000[/tex]
The number period of the investment is 6 months
Generally the worth of the investment after each month is
[tex]G_i = G_p * (1 + R_i)[/tex]
Here [tex]G_p[/tex] is the worth of the investment the previous year
[tex]R_i[/tex] is the growth for that month
So considering the first month
[tex]G_1 = G_p (1 + R_1)[/tex]
Here [tex]G_p = A[/tex]
So
[tex]G_1 = 1000000 (1 -0.4)[/tex]
[tex]G_1 = 600000[/tex]
Considering the second month
Here [tex]G_p = 600000[/tex]
So
[tex]G_2 = 600000 (1 + 0.67)[/tex]
=> [tex]G_2 = 1002000[/tex]
Considering the third month
Here [tex]G_p = 1002000 [/tex]
So
[tex]G_3 = 1002000 (1 + 1)[/tex]
[tex]G_3 = 2004000 [/tex]
Considering the fourth month
Here [tex]G_p = 2004000 [/tex]
So
[tex]G_4= 2004000 (1 + -0.5)[/tex]
[tex]G_4= 1002000 [/tex]
Considering the fifth month
Here [tex]G_p = 1002000 [/tex]
So
[tex]G_5= 1002000 (1 + 0.2)[/tex]
[tex]G_5= 1202400 [/tex]
Considering the six month
Here [tex]G_p = 1202400 [/tex]
So
[tex]G_6= 1202400 (1 -0.165)[/tex]
[tex]G_6= 1004004 [/tex]
Generally the total worth of the investment after 6 months is T = $ 1004004
Generally the geometric mean of the monthly returns is
[tex]\= G = \sqrt[n]{ [(1 + R_1 ) * \cdots (1 + R_n)} ]-1[/tex]
Here n represents the number of months which has a value n = 6
So
[tex]\= G = \sqrt[6]{[(1+ (-0.4 )) * (1 + 0.67) * \cdots * (1 + (-0.165))]} - 1[/tex]
[tex]\= G = 0.001[/tex]
Please help me asap
Answer:
-8d - 3 + 6 +d
you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the parenthesis
Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What was her profit from selling each box of granola bars? (profit = price - cost)
Answer: 6.25 is her profit
Step-by-step explanation: cost-price= protect
2.25 - 8.50=6.25
Function or not?? Please help
Answer:
not a function
Step-by-step explanation:
This would not pass the vertical line test, so it is not a function
Answer:
This not a function
Step-by-step explanation:
9.8x7.6 multiple I need help please
Answer:
74.48
Step-by-step explanation:
Just Multiply 9.8 and 7.6
Answer:
74.48
Step-by-step explanation:
9.8x7.6= 74.48
All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up
Chris pays $19.60 for a packof 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Answer:$4.90
Step-by-step explanation:
Line l passes through the points (- 4, 3) and (2, 1) What is the slope of a line that is perpendicular l
Answer:
m=1
Step-by-step explanation:
The plots (-4,3) and (2,1) have a slope of -1. Perpendicular lines would mirror that, making it a positive 1
what is 2,970,000 in scientific notation
Answer:
i think its 2.97 x 106
Step-by-step explanation:
hope its right/helps
find the value of x.
Answer:
144
Step-by-step explanation:
2) The foundations of any Euclidean geometry, at their most basic, exist on the principal concepts of which of
the following?
a) Undefined terms
c) Postulates
b) Theorems
d) Assumptions
Answer:
c im pretty sure but not 100%
Step-by-step explanation:
edge
I need help with answering this equation -2x = -16
Answer:
x= 8
Step-by-step explanation:
Divide -2 on both sides to solve for x
x=8
Answer:
x=8
Step-by-step explanation:
Divide each term by -2 and simplify.
Hope this helps. Plz give brainliest.
Which of the following statements best describes our Sun?
Answer:
the sun is the closest star to earth.
Answer:
the sun is the closet sun to the earth
Step-by-step explanation:
please solve thanks
What is 0.4 as a percent?
Answer:40%
.4 is equal to 40%
Find the product of -5.3(-0.5)
A. 4.1
B. 2.65
C. 2.75
D. 3.45
Answer: is B 2.65
Step-by-step explanation:
If a car travels 82 miles in 1.5 hours, how far will it travel in 6 hours
Suppose a number is chosen at random from the set {0,1,2,3,...,497}.
What is the probability that the number is a perfect cube?
===========================================================
Explanation:
Cube values in the set {0,1,2,3,...} until we reach a result larger than 497
0^3 = 01^3 = 12^3 = 83^3 = 274^3 = 645^3 = 1256^3 = 2167^3 = 3438^3 = 512We stop here because 512 is larger than 497.
Or you could note that [tex]\sqrt[3]{497} = 497^{1/3} \approx 7.921[/tex] helping us see that we stop at 8.
The list of nonnegative perfect cubes less than 497 is {0,1,8,27,64,125,216,343}
There are 8 items in that set out of 498 items in the set {0,1,2,3,...,497}
So the probability of getting a perfect cube is 8/498 = 4/249
When two dice are rolled, 36 equally likely outcomes are possible as shown below.
(1,1) (1,2) (1,3) (1.4) (1,5) (1,6)
(2, 1) (2, 2) (2,3) (2,4) (2,5) (2, 6)
(3, 1) (3, 2) (3,3) (3, 4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5, 1) (5,2) (5,3) (5, 4)
(5,5)
(5,6)
(6, 1) (6,2) (6,3) (6,4) (6,5)
(6,6)
Let x be the product of the numbers. Let P be the probability of the desired outcome. Compare the following charts and
determine which chart shows the probability distribution for the product of the two numbers.
Answer: chart b
Step-by-step explanation:
2 is only a product of the outcomes 1/18 times
3 is only a product of the outcomes 1/18 times
4 is only a product of the outcomes 1/12 times
5 is only a product of the outcomes 1/18 times
6 is only a product of the outcomes 1/9 times
and so on
The chart that shows the probability distribution for the sum of the two numbers is chart B.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When two dice are rolled, 36 equally likely outcomes are possible
The sum of the 36 outcomes are as follows: 2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12
The number of the sums are as follows:
n(2) = 1
n(3) = 2
n(4) = 3
n(5) = 4
n(6) = 5
n(7) = 6
n(8) = 5
n(9) = 4
n(10) = 3
n(11) = 2
n(12) = 1
The probability of the sums are given as follows:
p(2) = 1/36
p(3) = 2/36 = 1/18
p(4) = 3/36 = 1/12
p(5) = 4/36 = 1/9
p(6) = 5/36
p(7) = 6/36 = 1/6
p(8) = 5/36
p(9) = 4/36 = 1/9
p(10) = 3/36 = 1/12
p(11) = 2/36 = 1/18
p(12) = 1/36
Therefore, the chart that shows the probability distribution for the sum of the two numbers is chart B.
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Which theorem or postulate proves the two triangles are similar?
10
20
5
Not drawn to scale
SSS Theorem
AA Postulate
O AS Postulate
SAS Theorem
Answer:
sss i think
Step-by-step explanation:
uh im not 100% sure
Susan worked 30 hours one week. She deposited $70 in her savings account and had $140 left. How much does Susan earn per hour?
Hi!
Your answer would be: almost $5, but the actual amount is $4.67.
Reason being: when you divide $140 by 30, you get $4.67, and rounding to the nearest number, you get $5.
Therefore, the answer is $4.67
Hope this helps!
Yours truly,
~~~PicklePoppers~~~Cuánto es 5 2/3 - 11/12=
Answer:
4.75
Step-by-step explanation: