The amount Dempsey can expect to receive from the sale of the bonds is $424,578.27.
What is the amount Dempsey can expect to receive from the sale of the bonds ?The amount that would be recieved from the sale of the bond is the present value of the bond. Present value is the sum of discounted cash flows.
Present value can be determined using a financial calcualtor:
Cash flow each year from year 1 to 10 = 0.11 x 400,000 = 44000Cash flow in year 10 = $400,0000 I = 10%PV = $424,578.27
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Given the recursive formula shown, what are the first 4 terms of the sequence?
Step-by-step explanation:
Answer is option A
f(1)=3
f(2)=f(2-1)+4=f(1)+4=3+4=7
... So on
Hence the series would be 3,7,11,15,..
The required first four terms are 3,7,11,15
I hope it helped you
Answer: the answer is a
3,7,11,15 (+4 each time )
Step-by-step explanation: we are adding 4 each time .Hope it helps .
Jella rode on the bike trail one afternoon. She biked 12 miles in 1 hour and 24 miles in 2 hours
INn FOUR hours Jennifer will travel 12 m/h x4 = 48 miles
it will take Thomas 48 miles / 4 m/hr = 12 hours to reach the bike in the meantime Jennifer has EIGHT hours of walking 3 m/hr x 8 = 24 miles form the bike Thomas now sets out at 10 m/h this is 10 - 3 = 7 m/h faster than Jennifer is walking he will close the 24 miles and catch Jennifer in 7 m/hr *x = 24 m
24/7hours
So Thomas walks for 12 hours then bikes for 24/7 hr = 15 3/7 hrs = ~ 15 hr 26 min
Two lines are perpendicular. If one line has a slope of 1/2, what is the slope the other line?
The slope of the perpendicular line would be the negative reciprocal of the other line.
negative reciprocal of 1/2 = -2
answer: -2
The hours students reported practicing their instruments last grading quarter were 29, 20, 36, 44, 30, 32, and 40.
The mean hours students reported practicing their instruments is
.
The mean absolute deviation for the data is
.
Answer:
The mean is 33 and the MAD is 6.
Step-by-step explanation:
I took it on edge and got it right. Sorry I don't have a better explanation.
The person above me is correct.
Step-by-step explanation:
FREE BRAINLY JUST HELP ME
Jordan took out a loan for
14
months and was charged simple interest at an annual rate of
5.75
%
. If the amount of the loan was
$
850
, what is the amount of interest she had to pay?
Answer:
57.02 dollars
Step-by-step explanation:
850 * 14/12 * .0575 =
The required, Jordan had to pay $53.03 in interest on her loan.
What is simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
here,
To find the amount of interest Jordan had to pay, we can use the simple interest formula,
I = P × r × t
Where I is the amount of interest, P is the principal (the initial amount of the loan), r is the annual interest rate as a decimal, and t is the time in years.
In this case, P = $850, r = 0.0575 (5.75% expressed as a decimal), and t = 14/12 (since the loan was for 14 months, which is 1 year and 2 months or 1.16667 years).
Substitute the value in equation 1.
I = $850 × 0.0575 × 14/12
= $57.02
Therefore, Jordan had to pay $53.03 in interest on her loan.
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The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.
Step-by-step explanation:
h=b-4
A=30ft^2
A=1/2bh
30=1/2b(b-h)
Cross Multiply
60=b(b-4)
60=b^2-4b
b^2-4b-60=0
Factorise the equation
(b^2+6) (-10b-60)
b(b+6)-10(b+6)
(b-10) (b+6)
b-10=0 or b+6=0
b=10 or b=-6
base =10 (since measurement can not be negative)
h=b-4
Sub the value of b
h = 10-4
h=6
So the height is 6ft and base is 10ft
Rosa and her two brothers do not like taking out the trash. Rosa's mother wrote each child's name on a piece of paper and put it into a bag. QuestionThen Rosa's mother chose a name from the bag without looking to see who would take out the trash. What is the probability that either of Rosa's brothers were chosen?
A 1/3 B 1/2
C 2/3 D 2/1
Answer:
C 2/3
Step-by-step explanation:
There are only three names and two of them are boys sooo 2/3
Select all of the properties that a parallelogram that is not a rectangle has. A. 2 pairs of parallel sides B. exactly 1 pair of sides with equal length C. 4 right angles D. 2 acute angles, 2 obtuse angles E. exactly 1 pair of parallel sides
Answer and Explanation:
B, because a rectangle has 2 pairs.
Theoretically, D could also be correct, but not in every scenario; all rectangles are parallelograms, but not all parallelograms are rectangles.
Mr. Rodriguez has 8 packs of pencils to divide equally among his class of 26 students. If each pack
contains 15 pencils, how many pencils will each student receive? How many will be leftover? Show
your work.
which of the following graphs represents the equation 2x+3y=12
CAN SOMEBODY EXPLAIN THE EQUATION TO ME PLEASE
Answer:
15,000(0.81)^x
Enter the coordinates of the
point on the unit circle at the
given angle.
-225°
Answer:
Step-by-step explanation:
hello :
the coordinates of the point on the unit circle at the given angle.-225°:
x= cos(-225°)= -√2/2
y = sin (-225°)= √2/2
The coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].
What are coordinates of the point?" The coordinates of the point is defined as the pair of such points which represents the exact location of the point."
What is unit circle?" Unit circle means a circle with radius equals to 1unit."
Formula used
Equation of the circle with center (0, 0) and radius r
[tex]x^{2} +y^{2} =r^{2}[/tex]
Coordinates of the point on the circle (rcosθ , rsinθ)
cos(-θ) = cosθ
sin (-θ) = -sinθ
cos ([tex]\frac{3\pi }{2}[/tex] -θ) = -cosθ
sin ([tex]\frac{3\pi }{2}[/tex] -θ) = -sinθ
According to the question,
Given θ = -225°
Unit circle 'r' = 1
Therefore Coordinates are,
'x' coordinates represented by rcosθ
'y' coordinates represented by rsinθ
Substitute the value of r and θ in the coordinates of the point we get,
x = rcosθ
= 1 × cos (-225°)
= cos (225°)
= cos ( 270° - 45°)
[tex]=cos(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]
[tex]= - sin(\frac{\pi }{4}) \\= - \frac{1}{\sqrt{2} } \\=-\frac{\sqrt{2} }{2}[/tex]
y = rsinθ
= 1 × sin (-225°)
= -sin (225°)
= -sin ( 270° - 45°)
[tex]=-sin(\frac{3\pi }{2} -\frac{\pi }{4} )[/tex]
[tex]= -( - cos(\frac{\pi }{4})) \\= \frac{1}{\sqrt{2} } \\=\frac{\sqrt{2} }{2}[/tex]
Hence, coordinates of the point on the unit circle at an angle -225°° are [tex](\frac{-\sqrt{2} }{2} , \frac{\sqrt{2}} {2} )[/tex].
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I will give Brainliest!!! :D
Match each situation to an equation.
(You can just write the color of the equation card and the fraction in the situation, ex. Green card to 2/5) :)
Answer:
Purple to 1/4
red to 13/10
blue to 2/5
green to 1/5
Step-by-step explanation:
I think that is correct, butttt I am not postive
In which number does the digit 6 have a value that is 10 times as great as the value of the digit 6 in 283,691?
360,281
486,732
573,674
678,832
HELP PLEASE!!!!!!!!!
Answer:
The answer is 486,732
Which real-world scenario involves a right triangle?
Answer:
Step-by-step explanation:
Medical treatments that involve laser beams.
We can measure how far we put perpendicular the laser beam to a patient skin and we can calculate using right triangles how wide the beams go to only target certain cells (like cancer cells.)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
can you send a better picture of the question so it can be clearer
Step-by-step explanation:
can anybody help me? i need it
4 servings = 1/3 cups
| ×7.5 |×7.5
30 servings=7.5/3 cups
=2.5 cups
= 2 1/2c
A shelf contains 3 fashion magazines and 4 health magazines. You randomly choose one to read, set it aside, and randomly choose another for your friend to read. Which of the following describes the error in finding the probability that both events $A$ and $B$ occur? Event $A:$ The first magazine is fashion. Event $B:$ The second magazine is health.
Answer:
B
Step-by-step explanation:
The probability of getting both fashion and health magazine without replacement is 2/7.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, a shelf contains 3 fashion magazines and 4 health magazines.
Total number of books = 7
Number of fashion magazines = 3
Number of health magazines= 4
Probability of getting fashion magazines = 3/7
Probability of getting health magazines = 4/6
Probability of getting both the events = 3/7 ×4/6
= 1/7 ×4/2
= 2/7
Therefore, probability of getting both fashion and health magazine without replacement is 2/7.
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At a concession stand, three hot dog(s) and four hamburger(s) cost $12.00; four hot dog(s) and three hamburger(s) cost $10.75. Find the cost of one hot dog and the cost of one hamburger.
Answer:
hotdog is $1.25
hamburger is 1.75
Step-by-step explanation:
an amusment park sold 9.728$ worth of admission tickets for a seciak roller coaster at night expirement each ticket cost 38$ how many tickets were sold for the special event show your work
Answer:
256
Step-by-step explanation:
The revenue from the sale of n tickets at $38 each is given as ...
38n = 9728 . . . . total sales from special event tickets
Dividing by the coefficient of n gives the number of tickets:
n = 9728/38 = 256
256 tickets were sold for the special event.
Please help. Find the lateral area of the square pyramid
Answer:
960 in squared
Step-by-step explanation:
[tex]\sqrt{16^{2} +12^{2} }[/tex]=20
4*[tex]\frac{1}{2}[/tex]*24*20=960
△OMN ~ △RPQ
Find θ. Please help me
Answer:
the angle is equal to 60 degrees
Answer: the angle is equal to 60 degrees
Step-by-step explanation:
Calculate: a) of 36 =
Answer: 9
Step-by-step explanation:
=> 1/4 of 36
=> 'of' always refers to multiplication:
=> 1/4 × 36
=> By cross cancellation of 4 and 36 we get:
=> 1 × 9
=> 9 Answer...
hope that helps...
15.5% of what number is 65?
Answer:
1007.5
Step-by-step explanation:
1007.5 because if you do the math, 15.5% of 65:
65 * 15.5% = x
x=1007.5
double check:
1007.5 / 15.5%= 65
triple check:
1007.5 / 65 = 15.5%
Maribel factored y2 −30y + 81 as (y−9)2 . Was she right or wrong? How do you know?
Answer:
Wrong
Step-by-step explanation:
If you multiply (y-9)(y-9) the answer equal y2-18y+81.
77
Look at the two division problems below. Will they have the same quotient?
Explain how you can find the answer without calculating.
747925
7.492.5
A cyclist rides her bike at a speed of 27 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 20 minutes?
Answ2
Step-by-step explanati
Find the both term of the arithmetic sequence –27, -24, -21, ...
Answer:
-18 is the ans you can calculate it
Solve the equation for x.
X-5 = 11
Enter the number that belongs in the green box.
x = [?]
Enter
A researcher wants to compare the mean score on the Achenbach Youth Self Report form for a sample of youth displaced by a
hurricane to the population mean of 50 and a population standard deviation of 10. The researchers report a sample mean of 48 for their
sample of 36 youth. What is the standard error (aka standard error of the mean) for this sample? Round each step to two decimal
places.
Using the Central Limit Theorem, it is found that the standard error for this sample is of 1.67.
What does the Central Limit Theorem state?It states that for a population of standard deviation [tex]\sigma[/tex], the sampling distribution of sample means of size n has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, we have that [tex]\sigma = 10, n = 36[/tex], hence the standard error is given by:
[tex]s = \frac{10}{\sqrt{36}} = 1.67[/tex]
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