After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%?
Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
The decimal multiplier for a increase of a% is given by:
[tex]M = \frac{100 + a}{100}[/tex]
In this problem, two increases of 5%, thus:
[tex]M = \frac{100 + 5}{100} = 1.05[/tex]
Another of x, that we want to find, and the result is a increase of 16%, thus:
[tex]M = \frac{100 + 16}{100} = 1.16[/tex]
The three increases(5%, 5% and x%) result in a increase of 16%, thus:
[tex]1.05(1.05)(x) = 1.16[/tex]
[tex]x = \frac{1.16}{(1.05)^2}[/tex]
[tex]x = 1.052[/tex]
1.052 - 1 = 0.052
A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
A similar problem is given at https://brainly.com/question/21806362
please solve it.......
Answer:
dy/dx = - (y/x)^4
Step-by-step explanation:
We are given the equation:
[tex] \displaystyle \large{ \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } = {a}^{3} }[/tex]
Recall important differential formulas such as:
[tex] \displaystyle \large{ \frac{d}{dx} (f(x) + g(x)) = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)} \\ \displaystyle \large{ \frac{d}{dx} k = 0 \: \: \tt(k \: \: is \: \: a \: \: constant.)}[/tex]
Above is a basic property of differential. Looking at the equation above, differentiate both sides with respect to x. (dy/dx)
[tex] \displaystyle \large{ \frac{d}{dx}( \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } )= \frac{d}{dx} {a}^{3} }[/tex]
Apply the distribution property in.
[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = \frac{d}{dx} {a}^{3} }[/tex]
We treat x^3 and y^3 as function to one another, this type of differential will be called implicit once another variable of function is involved f(x,y).
But we treat a^3 as a constant so we just put 0.
[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Recall the quotient rules for the numerator = 1.
[tex] \displaystyle \large{ \frac{d}{dx} (\frac{1}{f(x)}) = -\frac{ \frac{d}{dx} (f(x))}{ {(f(x))}^{2} } }[/tex]
Thus:
[tex] \displaystyle \large{ - \frac{ \frac{d}{dy} ( {x}^{3} )}{ ({x}^{3})^{2} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 } \\ \displaystyle \large{- \frac{ 3 {x}^{2} }{ {x}^{6} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Make sure to recall power rules for differential and exponent laws.
From 3x^2 / x^6.
[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Now what do we do with 1/y^3? We just differentiate it normally but we multiply with dy/dx once we differentiate the y function.
[tex] \displaystyle \large{- \frac{ 3 }{ {x}^{4} } -\frac{ \frac{d}{dx}( {y}^{3}) }{ ({y}^{3})^{2} } = 0 } \\ \displaystyle \large{ -\frac{ 3 }{ {x}^{4} } - \frac{ 3 {y}^{2} }{ {y}^{6}} = 0 } \\ \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 }[/tex]
Solve for dy/dx, add both sides by 3/x^4.
[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{3}{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 + \frac{3}{ {x}^{4} } } \\ \displaystyle \large{ - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = \frac{3}{ {x}^{4} } } \\ [/tex]
Divide both sides by - 3/y^4.
[tex] \displaystyle \large{ \frac{- \frac{3}{ {y}^{4} } \frac{dy}{dx} }{ - \frac{3}{ {y}^{4} } } = \frac{ \frac{3}{ {x}^{4} } }{ - \frac{3}{ {y}^{4} } } } \\ \displaystyle \large{ \frac{dy}{dx} = \frac{3}{ {x}^{4} } \times (-\frac{ {y}^{4} }{3} )} \\ \displaystyle \large{ \frac{dy}{dx} = \frac{1}{ {x}^{4} } \times (- \frac{ {y}^{4} }{1}) } \\ \displaystyle \large{ \frac{dy}{dx} = - \frac{ {y}^{4} }{ {x}^{4} } } \\ \displaystyle \large{ \frac{dy}{dx} = - ( { \frac{y}{x} })^{4}}[/tex]
Which phrase has the same meaning as 12y - 2?
-
O A. Subtract the sum of 12 and y from 2.
O B. Subtract 2 from the sum of 12 and y.
O C. Subtract the product of 12 and y from 2.
D. Subtract 2 from the product of 12 and y.
6
LA
3
2
1
-6
-5
-4
-3
-2
- 1
1
2
3
4
- 1
N-
-2
What is the slope of line segment AB?
A
NIN
B)
3
4
o
4
3
D
IN
Answer:)
Step-by-step explanation:
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)
9514 1404 393
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The quantity is found by multiplying the rate by the time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The least-precise contributor to the calculation has 2 significant digits, so we need to round the result to 2 significant digits.
__
B) A fine human hair is more than 40×10^-3 mm in diameter, so the distance 1.435×10^-3 mm is completely unreasonable for railroad track spacing. The space between rails is closer to 1.4 meters. So 1.435×10^3 mm is a better measurement.
Hi, this is multiplication with decimals, help!
Answer:
Sean paid 0.25 more cents than Cal.
Step-by-step explanation:
Cal's problem: 2.4 * 2.55 = 6.12
Sean's problem: 2.6 * 2.45 = 6.37
Answer:
I think 0.25
Step-by-step explanation:
Multipled 2.4 and 2.55 then multipled 2.6 and 2.45. I got 6.12 and 6.37 Then subtracted them and got 0.25
SOLVE THIS AND EXPLAIN STEP BY STEP PLEASE!!!!
Answer:0=0
Step-by-step explanation:2(4x + 3) = 17x+3-9x +3 1st we will distribute. 2 times 4x gives you 8x and 2 times 3 gives you 6. Now the equation is 8x + 6 = 17x+3-9x+3.Now we're gonna add 3 + 3 gives you 6. Now the equation is 8x +6 = 17x+6-9x Now we're gonna combine like terms. So now we'll put together 17x - 9x which give you 8x. Now the equation is 8x +6 = 8x +6. Now where gonna subtract 6 from both sides. 8x = 8x and if I simplify it we'll get 0=0 which is the final answer
Which equation represents a proportional relationship?
A) y=5
B) x=3
C) y=2x+3
D) y=1/4x
Answer:
c! I had the same one in my class I'm pretty sure I was right
(can you make me brainleist I need to level up)
could yall help me pls
Step-by-step explanation:
see the above attachment.
hence your answer is A.
hope this helps you .
How can you compare data sets?
Answer:
Grapgical charts and data plots
Step-by-step explanation:
Step-by-step explanation:
Hope it helps you!!PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?
3x−9y=10.8
Question 2 options:
x-intercept = 1.2
y-intercept = -3.6
x-intercept = -1.2
y-intercept = 3.6
x-intercept = -3.6
y-intercept = 1.2
x-intercept = 3.6
y-intercept = -1.2
Answer:
x-intercept = 3.6
y-intercept = -1.2
Step-by-step explanation:
how many fifths are there in 4 wholes? (see the illustrate given)
Answer:
To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes
(A)
c. The number of men in a community is 2,400. If the ratio of women to men in the community is 5:4,
find
i. The total number of people in the community.
ii. The number of women in the community.
iii. How many more women are there than men if 400 men joined the community.
Georg invests $5000 for 14 years at a rate of 2% per year compound interest.
Calculate the interest he receives.
Answer:
[tex]\frac{1}{50}[/tex] or 0.02
Step-by-step explanation:
2% x 1 to give the answer
or
reduce it to faction like
[tex]\frac{2}{100}[/tex] = [tex]\frac{1}{50}[/tex]no links please
Suppose you took out a $120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years. You make monthly payments of $790.32 – to date, you have made 180 payments. What is the total amount you have left to pay if you simply make payments for the next 180 months?
The total amount left to pay is $ 745,945.74.
Supposing you took out a $ 120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years, and you make monthly payments of $ 790.32, and to date, you have made 180 payments, to determine what is the total amount you have left to pay if you simply make payments for the next 180 months the following calculation must be performed:
(120,000 x 1,069 ^ 30) - (790.32 x 180) = X (120,000 x 7.40) - 142,257.6 = X 888,203.34 - 142,257.6 = X 745,945.74 = X
Therefore, the total amount left to pay is $ 745,945.74.
Learn more in https://brainly.com/question/8846837
solve. −3.1=−3.5x−4.6
Answer:
x = 0.428571 repeating
Step-by-step explanation:
Answer:
-0.428571 repeating
Step-by-step explanation:
add 4.6 both sides
1.5 = -3.5x
divide -3.5 both sides
-0.428571 repeating
The lines represented by the equations y=-\frac{5}{2}x+7y=− 2 5 x+7 and y-\frac{2}{5}x=-4y− 5 2 x=−4 are
Answer:
bxjfjxucjkkdndjkjhkjjnn
help for brainliest and good luck
18 is the correct answer
15. A skier descends at a rate of 6 feet per second. What is the change in
elevation after one minute? *
Your answer
help
Answer:
After one minute they would've descended 360 feet
Step-by-step explanation:
The constant of proportionality can be found by finding the
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
The constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that:
The statement is:
The constant of proportionality can be found by finding the
As we know, from the definition of the proportional relationship; the relationship between two variables when the first variable increases.
Let x and y are in the proportional relationship
y ∝ x
y = kx
Here k is the constant of proportionality:
k = y/x
The constant of proportionality can be found by finding the ratio of y to x.
Thus, the constant of proportionality can be found by finding the ratio of y to x after applying the concept of a proportional relationship.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ2
Classify each number as an integer or not -32/4 yes or no -27/9 yes or no 5/11 yes or no -73.27 yes or no -36 yes or no
Answers:
-32/4 = yes-27/9 = yes5/11 = no-73.27 = no-36 = yes=====================================================
Explanation:
Use long division or a calculator to find that -32/4 turns into -8. This is an integer because it's a negative whole number.
The same goes for -27/9 because it turns into -3
The value -36 is also an integer as well
Something like 5/11 is not an integer because 5/11 = 0.4545 approximately which isn't a positive whole number. Integers are either positive or negative whole numbers, or 0.
For similar reasons, we can see that -73.27 isn't an integer either because it's not a negative whole number.
632 16/25 +32 3/10 answer in decimal
Answer:
664.94
Step-by-step explanation:
Give me brainlyest please
Answer:
664.94 is the answer to this question. I hope this helps.
How simplify -8/3 devided by -2/6
Answer:
The answer is 8
Step-by-step explanation:
-8/3 divided by -1x2 / 3x2
-8/3 divded by -1/3
-8/3 x 3 / 3 x -1 = -8/-1 = 8 x -1 + 0 / -1
= 8
So your answer is 8
Please mark Brainliest I answered First
YO I NEED HELP
A forest owned by the Jumbo Lumber Corporation contains 4,498 trees. If Jumbo Lumber cuts down 57 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?
A.
n(t) = (4,498-57)t
B.
n(t) = 4,498 + 57t
C.
n(t) = 4,498t - 57
D.
n(t) = 4,498 - 57t
Answer:
D
Step-by-step explanation:
Edmentum:))
Name the jelly like fluid that the other organelles float around in a cell. O Cytoplasm O Cell Membrane O Chloroplast
Step-by-step explanation:
[tex] \bf \underline\red{Question}[/tex]
Name the jelly like fluid that the other organelles float around in a cell?
[tex] \bf \underline\red{Answer}[/tex]
Cytoplasm.
Answer:
cytoplasm
step by step explanation
Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x
NO LINKS!!
What's the Perimeter?
a. 2x+8
b. 2x+9
c. 3x+8
d. 3x+9
Answer:
A. 2x + 8Step-by-step explanation:
The perimeter is:
x + x sides3 + 1 + 4 = top and bottomTotal:
P = 2x + 8Correct choice is A
Answer:
A is correct
Step-by-step explanation:
The least common multiple of the numbers 15, 12, 8
Answer: LCM of 8, 12, and 15 is 120.
Step-by-step explanation:
I hope this helps!
Answer:
2 and 1
Step-by-step explanation:
1 is the best which can go into
8 15 and 12
Find the length of the side of a square whose area is equal to the area of a rectangle with side measures 4.9 m and 1.6 m
Given :
Area of square equals to the area of rectangle of sides 4.9m and 1.6m .To find :-
The side of the square .Solution :-
As we know ,
Area = side² 4.9 * 1.6 = a²a = √ 49/10 * 16/10 a = 7/10 * 4/10 a = 28/100 a = 0.28 mCan someone help me please
Answer:
181.25 square feet
1/6 quart water
1/18 cup milk
1/3 beef bouillon cube, and 2/3 a large carrot
Step-by-step explanation: