Answer:
Step-by-step explanation:
From the first question:
We are to find PV of the annuity.
Using the formula:
Present value of Annuity = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Where , Annuity Amount = $4,000
n = No. of periods = 7 years × 4 quarters per year = 28 periods but since the first payment is at beginning of the quarter, Then, n = 27 when considered for PVAF
r = 6.2% / 4 quarters = 1.55%,
PVAF(n0,r) when first payment is at beginning of n i.e. n0 = 1 + { [1-(1+r)^ -n0 ]/r }
= 1 + { [1-(1+0.0155)^ {-27}]/0.0155 }
= 1 + [ (1 - 0.66015 ) ] / 0.0155]
= 1 + 21.926
= 22.926
PVAF(28,1.55%) = 22.926
Thus , Present Value of Annuity = $4,000 × 22.926 = $91704.00
2. Present value of Annuity due = Annuity Amount × Present Value Annuity Factor i.e. PVAF (n , r)
Present Value of Annuity = $90,000
n = No. of periods = 7.5 years × 4 quarters per year = 30 periods
r = 5.4% / 4 quarters = 1.35%,
PVAF(n,r) = [1-(1+r)^-n]/r
PVAF(n,r) = [1-(1+0.0135)^ -30]/0.0135
PVAF(30,1.35%) = (1 - 0.6688)/0.0135
PVAF(30,1.35%) = 0.3312/0.0135
PVAF(30,1.35%) = 24.53
Hence ;
$90,000 = Annuity Amount × 24.53
Annuity amount = $90,000/24.53 = $3,668.48
Please help.
Thank you in advance.
Answer:
its the last box and whisker plot
Step-by-step explanation:
The ratio of bananas to melons is 30:1 if there are 300 bananas how many melons are there
Answer:
10 melons
Step-by-step explanation:
The rate of change is 10.
30 : 1
300 : x
Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10
So it would look like this -
30 : 1
300 : 10
hope this HELP! :)
Write an algebra expression to represent each scenario:
“the sum of 6 and y”
Answer:
6+y
Step-by-step explanation:
simple:)
Please help me please
Answer:
Step-by-step explanation:
110_5
4 divided by 9.48 hii
Answer:
4 divided by 9.48= 0.42( or 0.421940928.....)
Step-by-step explanation:
..
Find Y (pic attached) (i’ll mark brainliest)
Answer:
4y - 4 = 60
4y = 64
Y = 16
Answer is B
I get 60 as it is a equilateral triangle.
Thank you and please rate me as brainliest as it will help me to level up
2/7 + 3/7= please help xx
Answer:
5/7
Just add 2 and 3
The correct answer is 5/7.
Hope you have a great day!
You exercise for 4 minutes to burn off 60 calories. If you exercise for 60 minutes and burn off 900 calories, is that correct?
Answer:
4 minutes 60 calories
60 minutes ?
Using cross-multiplication, you can find the solution.
4x = 3600
x = 900
Yes its true, you can burn 900 calories in 4 minutes
Which expression is equivalent to 2(m − 5) + 6?
2m − 1
2m + 22
2m − 4
2m + 16
Answer:
The answer is c
Step-by-step explanation:
Guys I will mark brainliest if you get this right
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]
For the number line shown which statement is not true
upload the picture...
helppppp please I will give brainliest
Answer:
0
Step-by-step explanation:
Y-intercept is where the line touches the y-axis, in this case it was the origin (0,0) so the y-intercept is 0
Find x for each of the problems;
1) 2x+5=12+x
2)5x=30+3x
3)2+x/3=7
4)15-x=17-2x
5)6x= -42-x
6)36-4x=26-3x
7) -2+x=15
Answer:
1) x = 7
2) x = 15
3) x = 19
4) x = 2
5) x = - 6
6) x = 10
7) x = 17
Step-by-step explanation:
1) 2x + 5= 12 +x
-x -x
2x -x + 5 = 12
-5 -5
x = 7
2) 5x = 30 + 3x
-3x -3x
2x = 30
x = 15
3) 2 + x/3 = 7
3(2 + x/3) = (7) 3
2 + x = 21
-2 -2
x = 19
4) 15 - x = 17 - 2x
+2x +2x
15 - x + 2x = 17
-15 -15
x = 2
5) 6x = - 42 - x
+x +x
7x = -42
x = - 6
6) 36 - 4x = 26 - 3x
+3x +3x
36 - x = 26
-36 -36
-x = -10
x = 10
7) -2 + x = 15
+2 +2
x = 17
hope this helps!
Write (6*100) + (4*10) in standard form
a grid of a hundred square show 7 shaded squares what decimal number is represented
Answer:
0.07
Step-by-step explanation:
From the question, a given grid was divided into a definite number of squares with some of the squares shaded.
Total number of squares in the grid = 100
number of shaded squares in the grid = 7
Thus, 7 squares are shaded out of 100 square in the grid.
So that this can be expressed in fraction as;
[tex]\frac{number of shaded squares}{total number of squares}[/tex] = [tex]\frac{7}{100}[/tex]
= 0.07
The decimal number of the squares represented is 0.07.
Write the given equation in the form of an equation of a sphere and find its center and radius.
x2 + y2 + z2 = 12x + 2y
equation =
center (x, y, z) =
radius =
Complete whatever squares you can:
x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36
y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1
So rewrite the equation as
x² + y² + z² = 12x + 2y
→ x² - 12x + y² - 2y + z² = 0
→ (x - 6)² - 36 + (y - 1)² - 1 + z² = 0
→ (x - 6)² + (y - 1)² + z² = 37
Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).
Answer:The radius is the square root of the constant term, z
Step-by-step explanation:
edge 2021
what is the determinant ?
PLS RESPOND IM IN DEEP NEED
=======================================================
Explanation:
Check out the diagrams below. I posted two of them. Start with figure 1.
Notice how I've copied the first two columns and placed them on the right side of the matrix.
After that, I've highlighted the diagonals. The numbers in each diagonal grouping multiply together. I've used color coding to show this.
Once you find all those products, you add up the values. Figure 1 shows a result of 42. This isn't the final answer, but it helps us get there.
Figure 2 is a similar idea, but we're doing the off diagonals instead of the main diagonals. The result here is 15.
The last step is to subtract the results found in figures 1 and 2. We get 42-15 = 27 as the final answer.
You could use co-factor expansion as an alternative method. For me, I prefer this method of multiplying diagonals. Unfortunately the method only works for 3x3 matrices.
A triangle has angles of 30° 60° and 90° It is dilated by a scale factor of three give the angle measures of the dilation of the triangle
The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
Scale factor gives either a small or big similar image of a triangle, for example, if we have a triangle with vertices 2,4,6 and it is scaled by 1/2 then the resultant dimension will 1,2,3 but angles still remain the same.
Hence "The scale factor will create a similar triangle and thus there will be no change in angles so angles will still be 30° 60° and 90°".
To learn more about scale factors,
brainly.com/question/22312172
#SPJ1
what methods could be used to solve the following quadratic equation x^2 +12-28=0
Answer:
Step-by-step explanation:
x^2 +12x-28=0
x^2+(14-2)x-28=0
x^2+14x-2x-28=0
X(X+14)-2(X+14)=0
(X+14)(X-2) is the factor of this quadratic equation.
equivalent fraction of 6/126
Answer:
1/21
Step-by-step explanation:
Answer:
1/21
Step-by-step explanation:
6/126 = 1/21 because 6 divided by 6 equals 1 and 126 divided by 6 equals 21.
Select the correct answer
Which statement best describes the graphed function?
ILL GIVE 15 PTS PLZ
Answer: the answer is a
Step-by-step explanation: learned about it in 9th grade
Answer:
it's a. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4).
Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
books
Part B
What does the point (3, 90) represent on the graph?
A.
Nick volunteers 90 hours in 3 weeks.
B.
Nick earns $90 in 3 weeks.
C.
Nick shelves 90 books in 3 hours.
D.
Nick shelves 90 books on 3 Saturdays.
Answer:
B: A
He earns $90 in 3 weeks.
C
He shelves 90 books in 3 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplify 6(x + 2)- x(x - 1)
hey guys this is really in hard what is 1-5=
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
start at one then start counting backward from one
1, 0, -1, -2, -3, -4
hope this helps (*/ω＼*)
1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?
O A. 1.75
O B.0.762
C. 84
D. 840
Step-by-step explanation:
Given that,
Distance, d = 10.5 km = 10500 m
Time, t = 8 minutes = 480 s
We need to find the unit rate of a train motion. The distance divided by time is equal to the speed of the object.
[tex]\text{Rate}=\dfrac{\text{Distance}}{\text{time}}\\\\=\dfrac{10500\ m}{480\ s}\\\\=21.87\ m/s[/tex]
So, the unit rate is 21.87 m/s.
If the mean of a positively skewed distribution is 70, which of these values
could be the median of the distribution?
Answer:
65
Step-by-step explanation:
just took the quiz.com
What is the result when the number 63 is decreased by 1.3%?
Answer:
61.7
Step-by-step explanation:
Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.24, P(B) = 0.16, and P(E and B) = 0.13. Find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.
a. 0.53
b. 0.13
c. 0.6
d. 0.27
Answer:
d. 0.27
Step-by-step explanation:
Calculation to determine the probability that a corn crop has either an ear worm infestation, a corn borer infestation or both
Using this formula
P(E U B) = P(E) +P(B) -P(E n B)
Let plug in the formula
P(E U B) =0.24 + 0.16 -0.13
P(E U B)=0.27
Therefore the probability that a corn crop has either an ear worm infestation, a corn borer infestation or both will be 0.27
Please help!Please help me
Answer:
The answer is Thousandths
Answer:
Thousandths
Hope this helps!
Can you pls give brainly
When rounded to the nearest thousand and elephant weight is 5,000 pounds. What is the least amount the elephant could weigh?
Answer:
4500
Step-by-step explanation:
As long as your number isn't less than 500, it will always round up.
The required least weight of the elephant is 4500 pounds.
Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.
Thus, the required least weight of the elephant is 4500 pounds.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2