After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%? ​

Answers

Answer 1

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


Related Questions

Only help me with number 5 plz

Answers

Answer:

Line AB is Perpendicular to line CD

Line AB Parallel to line EF

Answer:

perpendicular, parallel

Step-by-step explanation:

Also your answer for #4 is wrong, it's actually line FD

Tim asked his classmates if they preferred rock music or pop music. The ratio of students who liked pop music to rock music was 3 to 4. If Tim asked 14 classmates, how many like pop music?

Answers

Answer:

10.5 people like pop music.

Step-by-step explanation:

3/4 like pop music

3/4 = 0.75

75% of 14 = 0.75x14=10.5

Five times the sum of a number and 9 equals 4

Answers

Answer:

I think it might be (x + 9)5 = 4 or 5(x + 9) = 4. I'm not really sure.

I hoped this helped

Have a nice day!

Step-by-step explanation:

Write the fraction or mixed number as a decimal


5 2/11

Answers

Answer:

0.454...

Step-by-step explanation:

Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.

Answers

281.25 is the answer i think

Which word is a synonym of verify?
consent or confirm

Answers

Answer:

confirm is the correct answer

Plz mark as Brainliest

solve pls brainliest

Answers

First is 3 second is 2.

Subtract.

3−(−5)−(−2)

Plot the solution on the number line.

Answers

Answer:

10

Step-by-step explanation:

Answer: Its 10, so plot it on 10 in the number line

Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.

2n + 5 = n - 5
Find the number that n is
And please explain :)

Answers

Answer:

-10

Step-by-step explanation:

2n + 5 = n -5
2n -n =-5-5 (putting variables in one side and numbers in other)
n=-10

Simplify the following expression:
За2 + 2а – 2а? - а

Answers

Answer:

3a^2

Step-by-step explanation:

2a-2a is equivalent to 0 there by making 3a^2 remaining

NO LINKS!!!!! Please help me.

Absolute Maximum:
f(-3):
Absolute minimum:
Range:
Domain:
Is the graph a function?:
Relative Maximum(s):
Increasing Interval(s):
Decreasing Interval(s):
Relative minimum(s):​

THIS IS NOT MULTIPLE CHOICE!!!

Answers

Answers:

Absolute maximum:  4f(-3) = -2Absolute minimum: Does not existRange: [tex](-\infty, 4][/tex]Domain:  [tex][-4, \infty)[/tex]Is it a function? YesRelative Maximum(s): 2Increasing Interval(s): [tex](-2, 1)[/tex] ... interval notationDecreasing Interval(s): [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]Relative Minimum(s):  -4

=====================================================

Explanations:

The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.

----------------

To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.

----------------

The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.

----------------

The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.

-----------------

The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]

-----------------

This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.

Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.

-----------------

A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.

Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.

-----------------

Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.

-----------------

Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.

Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.

Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.

Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.

-----------------

This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.

Can someone please help me out?
I know that by using length times width, the first rectangle is equal to 25 in^2 and the second rectangle is equal to 24 in^2. I just don't understand why they can both be right.

Answers

Answer:

Minh says that the rectangle on the left in Fig- ure 11.12 is larger than the one on the right, Sequoia says the rectangle on the right is larger than the one on the left. Explain why Minh and Sequoia can both be right. 25 Figure 11.12 Two rectangles. 24

Can you help me plz.

Answers

Answer:

Step-by-step explanation:

pls gimme brainliest if im correct

Answer:

7.77, 7[tex]\frac{4}{9}[/tex], 7.4, 7[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

convert the fractions to decimals

[tex]\frac{4}{9}[/tex] = .44 so 7.44

[tex]\frac{3}{4}[/tex] = .25 so 7.25

7.77, 7.44, 7.40, 7.25

they look to already be in order.

have a lovely day <3

• A man observes the angle subtended by a pole to be 30'. He walks 10 metres towards its base and finds that it subtends an angle of 45'. Find the height of the pole.
(A) 12.65 m (B) 13.66 m (C) 15 m (D) 14 m​

Answers

Answer:

13.66m

Step-by-step explanation:

Question 7
Maya, Tom, and Greg sent a total of 153 text messages over their cell phones during the weekend, Greg sent 9 fewer messages than Maya,
Tom sent 4 times as many messages as Greg, How many messages did they each send?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The messages sent by them are ~

Maya = 33 messages

Greg = 24 messages

Tom = 96 messages

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let the number of messages sent by Maya be x,

messages sent by Greg = x - 9

messages sent by Tom = 4(x - 9)

and, total number of messages sent by them all together is equal to ~ 153

that is ~

[tex]x + x - 9 + 4(x - 9) = 153[/tex]

[tex]2x - 9 + 4x - 36 = 153[/tex]

[tex]6x - 45 = 153[/tex]

[tex]6x = 153 + 45[/tex]

[tex]6x = 198[/tex]

[tex]x = 198 \div 6[/tex]

[tex]x = 3 3[/tex]

Hence, the messages sent by them are ~

Maya = x = 33

Greg = x - 9 = 33 - 9 = 24

Tom = 4(x - 9) = 4 × 24 = 96

Let Maya send m

Greg send m-9

Tom sent 4(m-9)

ATQ

m+m-9+4(m-9)=1532m-9+4m-36=1536m-45=1536m=153+456m=198m=33

Greg=33-9=24

Tom=4(24)=96

hiiii help??????? Please and thanks

Answers

Answer:

welcome❤ though❤ you can be there in the afternoon and you can be there with me

Pa help po plis papasa na daw po bukas

Answers

Answer:

b

c

a

Step-by-step explanation:

if wrong sorry

and pls give brainliest

The number of State Parks in California is 36 more than one third the number of State Parks in Florida. There are 85 State Parks in California. Which of the following equations would you use to find the number of State Parks in Florida? Note: f represents the number of state parks in Florida. (5 points) 3(f − 36) = 85 1 over 3 f + 36 = 85 Quantity f minus 36 all over 3 equals 85 Quantity f plus 36 all over 3 equals 85

Answers

Answer:3 f + 36 = 85 I think, hope this helps

Step-by-step explanation:

solve for t 1/4(4t-9) = 1/8(t+9)

Answers

Answer:

27/7

Step-by-step explanation:

by calculator..

or you can do these steps

1/4(4t-9)=1/8(t+9) "divided l.h.s and r.h.s by ⅛"

2(4t-9)=t+9.

8t-18=t+9

7t=27

t=27/7

2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64

Answers

Answer:

Step-by-step explanation:

Uhm the third one number 3

help pls. i’ll give brainliest

Answers

Answer:

last 2 I think

Step-by-step explanation:

okokokokokipullup

A property is being appraised by the cost approach. The appraiser estimates that the land is worth $32,000 and the replacement cost of the improvements is $220,000. Total depreciation from all causes is $44,000. What is the indicated value of the property?

Answers

Answer:  $208,000

Step-by-step explanation:

What is James's spendable income this pay period? (use pay stub) *
1 point
$709.74
$1000.00
$797.48

Answers

Are we supposed to guess???
Add them together and divide by three that will be James spendable income

need help plz help for math class

Answers

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

What is an equation of the linethat passes through the points (3,-8) and (1,-2)

Answers

Answer:

y=3x+1

Step-by-step explanation:

m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3

-8= -3(3) + b

-8= -9 + b

+9     +9

1=b

Then put in slope intercept form:

y= 3x+1

Hope this helps! :)

2
Solve for :
WIN
(x - 4) = 2x. (1 point)
O
o

Answers

Answer:

D. X=-2

Step-by-step explanation:

what is 4/5 divided by 2/3 simplest form

Answers

Answer:

6/5

Step-by-step explanation:

4/5 divided by 2/3 in simplest form is 6/5.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

4/5 divided by 2/3

Now,

=(4/5)/(2/3)

=12/10

=6/5

Therefore, by algebra answer in simplest form will be 6/5.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ5

in 4567 which number means ones?​

Answers

Answer:

7 means ones because it is the units

Step-by-step explanation:

4= thousand

5= hundred

6= tens

7=ones / unit

First number 4 thousand second number means hundred third numbers means tens and fourth number means ones

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.

Answers

Answer:

i need a picture or something man

Step-by-step explanation:

12x – 9y = 135. Fully simplify your answer.

Answers

Answer:

[tex]x=\frac{3\left(y+15\right)}{4}[/tex]

Step-by-step explanation:

Answer:

I belive the answer is 15! Brainest?

Step-by-step explanation:

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