curtain investments compound interest at different intervals. What effect does the size of the compounding interval have on the yield of the investment?
Answers
As the compounding frequency increases, the yield increases as well. But there's a limit to that increase.
Consider depositing $100 into an account at 5% interest. Let's consider a timespan of 1 year. These values were picked arbitrarily.
Using the formula A = P(1+r/n)^(nt), we can find the various yield amounts when n varies
The table below shows how A changes based on the values of n. I've let P = 100, r = 0.05 and t = 1.
As n gets larger, the value of A slowly approaches 105.13 when you round to the nearest penny.
So eventually the investment yield hits a ceiling of some sort. We cannot make the investment grow forever in some fixed amount of time (in this case 1 year).
Related Questions
Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the slope angle from 30 feet
away from the base of the tree and gets an angle of 62.
If Tamara's eye level is 5.5 feet above the ground, how tall is the tree? (Round your answer to the nearest hundredth)
Answer
Answers
Answer:
61.922 feet
Step-by-step explanation:
For this problem, we simply want to set up a trigonometric function that computes the height of the tree, and we want to add the height of Tamara.
We are given a distance from the tree of 30 feet with an angle from her eye-level to the top at 62 degrees. So we can say the following:
y = tan(Θ) * x
Where Θ = 62 degrees, x = 30 feet, and y is the height of the tree from Tamara's eye level.
y = tan(Θ) * x
y = tan(62) * 30
y = 56.422
So we also need to include the height of Tamara to get the total height of the tree from the ground to the top.
56.422 ft + 5.5 ft = 61.922 ft
Hence, the total height of the tree is 61.922 feet.
Cheers.
The height of the tree is 61.92 feet.
Given information:
Tamara wants to calculate the height of a tree outside her home.
She is 30 ft away from the tree.
Tamara's eye level is 5.5 feet above the ground.
The angle of inclination of the top of the tree is 62 degrees.
Let h be the height of the tree.
See the attached image.
Use trigonometric ratios in triangle ABC to calculate the height of the tree as,
[tex]tan62=\dfrac{AB}{BC}\\1.8807=\dfrac{h-5.5}{30}\\h-5.5=56.4217\\h=61.9217\\h\approx61.92\rm\;ft[/tex]
Therefore, the height of the tree is 61.92 feet.
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Questions:
1. How do you solve for a specific variable?
2. Why would you want to solve for a specific variable?
3. Show an example of solving for a specific variable.
Answers
simplify the following expressions ( use distributed property )
Answers
2(9-3x)/-2
-(9-3x)
-9+3x
Brainliest?
work out 6d + 8 = 14 + 3d
Answers
In 6d + 8 = 14 + 3d , D=2
Isolate the variable by dividing each side by factors that don't contain the variable.
What the unit rate for this? “9 inches of snow in 3 hous”
Answers
Answer:
3 inches per hour
Step-by-step explanation:
divide the number on the y axis (i'm assuming it's inches of snow) by the number on the x axis (i'm assuming its hours)
by doing this you will get 3 inches per hour
Carlos' cell phone company charges $50 per month for unlimited calls and internet use and $0.15 per text message. His last cell phone bill was $56.75. How many text messages did Carlos send last month?
Answers
Answer:
Step-by-step explanation:
.15x + 50 = 56.75
.15x = 6.75
x = 45 texts
Sandy went to Pens R Us during their annual sale. There was a pack of 20 pens for $8.50. On another aisle, Sandy saw a pack of 6 pens for $4.50.Which is the better buy and why?. Find the rate and unit rate
Answers
Answer:
20, for 8.50
Step-by-step explanation:
6 + 6 = 12, which is 4.50 + 4.50, which would be about 10, so 20 for 8.50 would be better.
Please help me! I’m stuck - Mathematics
Answers
Answer:
17. 13
18. 3x + 12
19. 1/4
Step-by-step explanation:
17.
[tex]3a + b = 3(5) - 2 \\ = 13[/tex]
18.
[tex]3(x + 4) = 3x + 12[/tex]
19.
[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]
Answer:
Step-by-step explanation:
17. 3(5) + 2 = 15 + 2 = 17
18. 3(x + 4) = 3x + 12
19. 3/(3+4+5)= 3/12= 1/4
what's 32.88 divided by 0.6
Answers
(I hope this helps!)
Answer:
54.8 is the correct answer
-4/6+-7/9
RATIONAL NUMBER
PLS HELP ME GUYS
IF U ARE THE FIRST PERSON TO ANSWER I WILL MARK U AS THE BRAINLIEST
Answers
[tex]-\frac{4}{6} + -\frac{7}{9}[/tex] = [tex]-\frac{13}{9}[/tex]
Step 1: Cancel 4/6 and change to 2/3.
[tex]= -\frac{2}{3} - \frac{7}{9}[/tex]
Step 2: Adjust Fractions based on the LCM.
The LCM of 3 , 9 : 9
[tex]= -\frac{6}{9} - \frac{7}{9}[/tex]
[tex]= \frac{-6 - 7}{9}[/tex]
Step 3: Subtract the numbers : - 6 -7 = -13
[tex]= -\frac{13}{9}[/tex]
The area of a rectangle is 24,396 square centimeters. If the width is 38 centimeters, what is the length?
Answers
Answer:
642
Step-by-step explanation:
area equals LxW
divide 24396/38
answer 642
642x38= 24396
2 is multipled by the difference of a number and 4 equation
Answers
Answer:
This is confusing.. so all ill say involving 2 and 4.
2 x 4 = 8
2 + 4 = 6
2 - 4 = 2
2 dived by 4 = 2
Decimal form:
2.4 or 4.2
Fraction form:
2/4 or 4/2
Order the following from least to greatest: 14 -6, 0, 8, 3.4, -8, 2
Answers
Answer:
-6. -8 0 3.4 6 8 14
Step-by-step explanation:
I think I am correct
Answer:
-6. -8 0 3.4 6 8 14
Hope I helped ya
which of the following are based on the diagram below? (select all answers that are true)
please help me out here!
Answers
Geography textbook has a width of 9 inches and a diagonal of 15 inches. What is the length of the
textbook?
Answers
Answer:
12 inches
Step-by-step explanation:
The Pythagorean's theorem states that a triangle's hypotenuse's length is equal to a^2+b^2=c^2.
9 is a, b is the length, and c is the 15.
9^2+b^2=225
225-81=144
The square root of 144 is 12, therefore 12 inches is the length.
-5x + 4 = 2x + 16
How do I solve this
Answers
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: A It is too strong. B It is too weak. C It is just right.
Answers
Answer:
C. It is just right.
Step-by-step explanation:
We want to compare the ratios ...
bags : liters = 15 : 2
and
bags : liters = 90 : 12
If we multiply the numbers of the first ratio by 6, we see they are identical to those in the second ratio:
(15)(6) : (2)(6) = 90 : 12
The ratio of bags to liters for Peggy's tea matches the ratio Kermit likes. He will think it is just right.
Answer:
C its just right
Step-by-step explanation:
How do you solve this problem? 7/10 x 1 1/3
Answers
Answer:
77/30
Step-by-step explanation:
7/10 x 11/3 = 7x11 = 77 and 10x3 = 30
the answer is 77/30
What’s 6 (3x + 5) please
Answers
6(3x+5)
6*3x=18x
6*5=30
18x+30 is your answer! I hope this helped! :)
The table below shows the number of school absences each day.
A 2-column table with 6 rows. Column 1 is labeled Day (x) with entries 1, 2, 3, 5, 6, 7. Column 2 is labeled Absences (y) with entries 10, 6, 2, 10, 6, 2.
Which equation models the data in the table?
y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
Answers
Answer:
A
Step-by-step explanation:
did it on edge soo there ya go
Answer:
a
Step-by-step explanation:
Midpoint (-10,9), (3,8)
Answers
Answer:
(-3.5 8.5)
Step-by-step explanation:
Midpoint Formula: ([tex]\frac{x2 + x1}{2}[/tex], [tex]\frac{y2 + y1}{2}[/tex])
What I did: -10 + 3 = 7, 7 / 2 = 3.5 x = 3.5 | 9 + 8 = 17, 17 / 2 = 8.5
Midpoint = (-3.5, 8.5)
To mail a package, UPS charges a $7 flat fee and $2 per pound. FedEx charges
a $5 flat fee and $3 per pound.
Answers
Answer:
The package where they charge the same must cost $2
Step-by-step explanation:
Given
UPS
[tex]Flat = \$7[/tex]
[tex]Additional = \$2/lb[/tex]
FedEx
[tex]Flat = \$5[/tex]
[tex]Additional = \$3/lb[/tex]
Required
What pound do both charges are the same
Represent the charges with x;
For UPS, it can be written as:
[tex]Charges = 7 +2x[/tex]
For FedEx:
It is:
[tex]Charges = 5 + 3x[/tex]
Equate these charges together
[tex]5 + 3x = 7 + 2x[/tex]
Collect Like Terms
[tex]3x - 2x = 7 - 5[/tex]
[tex]x = 2[/tex]
Hence, the package where they charge the same must cost $2
In need of assistanceeeee!
Answers
Answer:
300 mi
Step-by-step explanation:
set the equations equal to each other.
110+(.60x)=20+(.90x)
solve
90=0.30x
x=300
check
"substitute x"
both = $290
Answer:
300 mi
Step-by-step explanation:
feet
12. Darcy and Danny were diving on a trip in
the Bahamas. When they stopped to look at a
school of fish, Darcy was 178 feet below the
surface of the water, and Danny was
2
feet
below the surface. Who was closest to the
is
Ire
surface of the water
Answers
Danny was closest to the surface of the water.
Here,
Darcy and Danny were diving on a trip in the Bahamas.
When they stopped to look at a school of fish, Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water and Danny was 17/2 feet below the surface.
What is square root?
A square root of a number x is a number y such that [tex]y2 = x[/tex].
Now,
Darcy was [tex]\sqrt{78}[/tex] feet below the surface of the water.
⇒[tex]\sqrt{78} = 8.83[/tex]
Danny was 17/2 feet below the surface.
[tex]\frac{17}{2} = 8.5[/tex]
Clearly, [tex]8.5 < 8.85[/tex]
Hence, Danny was closest to the surface of the water.
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38. Persevere in Problem Solving The difference between the solutions to
the equation x = a is 30. What is a? Show that your answer is correct.
Answers
Answer:
either a or x, the value is still 30
Step-by-step explanation:
given:
x = a is 30
find:
a = ?
since x = a = 30
a = 30 = x
therefore,
either a or x, the value is still 30
All of the following equations have the same solution except _____.
-10 = -3 m + 2
2 - 3 m = -10
-3 m + 2 = -10
3 m + 2 = -10
Answers
Answer:
All of the following equations have the same solution except 3m + 2 = -10.
Step-by-step explanation:
The rule that maps each domain value to its range value is f(x)= ___x.
Answers
Answer:
f(x) = 1/2x
Step-by-step explanation:
When x = -4 the output is -2
We are dividing by 2
When x = -2 the output is -1
f(x) = 1/2 x
Check when x = 2
f(2) = 1/2 (2) =1
find the values of x and y.
Answers
Step-by-step explanation:
Hey there!!!
When you closely see in figure, we find that,
90° and (2y + 5)° are supplementary,
So, 90° + 2y +5°=180° { supplementary angle is always 180°}.
or, 2y = 180°-95°
[tex]y = \frac{85}{2} [/tex]
Therefore the measure of angle y is 42.5°.
Again, (5x-17)° + (3x - 11)° = 180° (They are linear pair).
8x - 28° = 180°
8x = 180°+28°
[tex]x = \frac{280}{8} [/tex]
Therefore the measure of angle x is 26°.
Hope it helps...
the sqaure root of 130 falls between which consecutive numbers
Answers
36. Walter and Brian each have a CD collection.
The number of CDs in Walter's collection can be represented by x.
The number of CDs in Brian's collection is 3 times the number in
Walter's collection.
The total number of CDs in both collections is 144.
What is x, the number of CDs in Walter's collection?
A. 108
B. 48
C. 72
D. 36
Answers
4x=144
144/4=36
X=36
Answer:
x+3x=144
4x=144
144/4=36
X=36
Step-by-step explanation: