Can I please get help with this question on future value of annuities? I also am really confused on how to do the table of values.
Answers
Answer:
D
Step-by-step explanation:
I've attached one of those tables below
I'm going to solve this using the FV annuity formula
[tex]R(\frac{(1+i)^n-1}{i})[/tex]
where i is the effective rate of interest
r is the payment
n is the number of periods
to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)
and the number of periods is 4*2 (because there are two periods a year(
[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D
To use the table go to the effective rate of interest (4%) and then number of periods (8)
The number is 9.2142
mulitply that by the payment (1500) and get 13821.3 (D)
*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*
9514 1404 393
Answer:
D. $13,821.30
Step-by-step explanation:
The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.
Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.
That multiplier is 9.2142, so the future value is ...
FV = amount invested per period × multiplier from table
= $1500 × 9.2142 = $13,821.30
__
The above is how you use the table.
You can also choose the correct answer based only on your number sense, without bothering with the table.
You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:
D. $13,821.30
Related Questions
Which line on the graph represents the equation y + 4 = -2x/3
Answers
Answer:
The answer is line D
Step-by-step explanation:
Please help, I don’t know what I’m supposed to do
Answers
It’s B: -10
Explanation:
Since it dropped 45, you just needed to subtract from 35.
2. Order these numbers from least to greatest: 5,0,1,-15-3,-1
Answers
Answer:
Step-by-step explanation:
- 15, -3, -1, 0 , 1, 5
Answer:
-15,-3,-1,0,1,5
Step-by-step explanation:
Angel lives 3/4 miles from school he has already walked 1/6 mile. How much farther does angel need to walk to school
Answers
Answer:
7/12 miles
Step-by-step explanation:
3/4 and 1/6
find common denominator
9/12 and 2/12
subtract
7/12
I NEED HELP I WILL GIVE BRAINLIEST!
A. 11
B. 13
C. 21
D. 4
Answers
Answer:
c
Step-by-step explanation:
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation
3x + 2y = -21
x - 3y = 4
3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21
Answers
Answer:
answer is
3(3y+4) + 2y = -21 .
What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10
Answers
Answer:
f = 2
Step-by-step explanation:
equate the log
therefore,
2f + 4 = 14 - 3f
collect like terms
2f + 3f = 14 - 4
5f = 10
divide through by 5
f = 10/5
f = 2
Workers are using a nuke to carry equipment to work site. A mule can carry one bag of gravel that weighs 13 kilograms and some wooden posts. Each post weighs 4.5 kilograms.
What’s is the greatest number of wooden posts the mule can carry?
Please help
Answers
Because we know that a mule can carry ≈13kgs and each pole is 4.5 kg, so we do:
13/4.5≈ 2.88888889...≈ 3 wooden posts.
Answer:
14
Step-by-step explanation:
https://www.blooket.com/play?id=658244
Copy and paste
All right answers
Appropriate names please!!
Answers
Answer:
ok
Step-by-step explanation:
Help with this problem pls
Answers
As x increasing y decreases.
As x decreases, y increases.
Please mark as the brainliest.
Hope it helps you.
Thank You
if the value of a in the quadratic function f(x) = ax^2 + bx + c is 1/2, the function will:
Answers
Answer:
Open up and have a minimum
Step-by-step explanation:
If the x² coefficient is:
Positive, the graph will open up and have a minimum
Negative, the gaph will open down and have a maximum
Answer:
opens up and has a minimum
Step-by-step explanation:
Provided a is not 0, y=ax^2+bx+c will be a parabola.
The parabola will open up and have a minimum if a is positive.
The parabola will open down and have a maximum if a is negative.
Since 1/2 is positive, then your parabola opens up and has a minimum.
A cookie recipe calls for 3 cup of chocolate chips for every batch, and the baker can mix and
bake a batch every of an hour. How many cups of chocolate chips would the baker use if he
baked cookies for 6 hours?
Answers
Answer:
i think 18
Step-by-step explanation:
bc like 3 cups-1 hour
6 cups- 2 hours
...... .........
help the whole question is right there, it's pretty easy I just don't have brainpower
Answers
Answer:
Your answer is 211.8
Step-by-step explanation:
We've made a right triangle so the equation is a²+b² = c²
141²+158² = c²
141²+158² = 44845
Then you square root it
√44845 = 211.8
Someone please help will mark brainliest!!!
Answers
Answer: 50°
Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)
Can someone help solve this?
Answers
Answer:
C
Step-by-step explanation:
4.
Find the x- and y-intercept of the line.
2x + 3y = -18
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
X - Intercept: (-9, 0)
Y - Intercept: (0, -6)
»»————- ★ ————-««
Here’s why:
The x and y-intercepts of a line is where a given function intercepts the x or y axes.
I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).
Therefore:
[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]
See the graph attached below!
»»————- ★ ————-««
Another way to solve this problem is to do this algebraically.
[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]
----------------------------
[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
ASAP PLEASE
question is in the picture
Answers
Answer:
5040
Step-by-step explanation:
-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320
40320 ÷ 8 = 5040
(not 100% sure this is right)
Which statement best describes the sequence defined by ?
The series diverges because it has a sum of 6.
The series converges because it has a sum of 3/4.
The series converges because it has a sum of 2.
The series diverges because it does not have a sum.
Answers
Answer:
well its not c so...
Step-by-step explanation:
that'll leave you w 3 others to choose from. sorry.
The series diverges because it does not have a sum option, fourth is correct.
What is the convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.
We have an infinite series:
[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]
[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]
The above series is geometric series with first term 2 and the common ratio is 2.
Here 2>1
By the ratio test, the series is divergent.
Since the common ratio is greater than 1 the sum will be infinite.
Thus, the series diverges because it does not have a sum option, fourth is correct.
Learn more about the convergent of a series here:
brainly.com/question/15415793
#SPJ2
Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?
Answers
Answer:
Which subject is optional in the morning??
Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?
Answers
Answer:
Option B, the y-intercept changes
Explanation:
This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.
Hope this helps!
need help asap! will give brainliest!
Answers
Answer:
x = 9
Step-by-step explanation:
tan 53° = 12/x
x = 12/tan 53°
x = 9.04
I need help ASAP. Find the length of arc FD if the radius is 94 and m
Answers
Answer:
[tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m
The box-and-whisker plot below represents some data set. What percenta data values are less than 66?
Answers
Given:
The a box-and-whisker plot if a data set.
To find:
The percentage of data values that are less than 66.
Solution:
From the given box-and-whisker plot, it is clear that the number 66 is the highest value of the data set.
It means all the values of the data set are less than 66 and no value can be more than 66.
All value means 100%.
Therefore, 100% of data values are less than 66.
Paul is a baker who earns 15 cash per hour.If paul worked 63 housrs at her job how much money has she eared
Answers
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answers
2. area is how much space is within a 2D shape.
3. Volume is the amount of mass that a 3D shape takes up.
4. You find the combined area of a 3D shape by finding the individual area of each shapes on the outside of the 3D shape and then add them up.
5. i’m not sure what you mean by “give an example of why that would be a good measurement to know”
Answer:
In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.
Step-by-step explanation:
Stay Safe <3 =3 Can I maybe Get Brainliest?
Tell whether the angles are adjacent or vertical. Then find the value
of x. i will mark brainliest!
Answers
3x-4= 107
-4. -4
3x= 103
/3. /3
X= 34.333333
7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?
Answers
Answer:
yoi
Step-by-step explanation:
yoi
hello please help i’ll give brainliest
Answers
Answer:
The first answer is correct.
Step-by-step explanation:
If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.
Hope that this helps!
How many times larger is 3 x 10^8 than 3 x 10^2
A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10
Answers
Answer:
Your answer is C
Step-by-step explanation:
You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.
A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3
Answers
Answer: 1,000 cm^3
Step-by-step explanation:
Volume of cube= bhw
All sides of a cube are equivalent so 10^3= 1000