A major airline is planning to purchase new airplanes. It wants to borrow $800 million by
issuing bonds. The bonds are for a 10-year period with simple interest computed quarterly at
a rate of 2 percent per quarter. Interest is to be paid each quarter to bondholders.
How much (in millions) will the airline have to pay in quarterly interest? $
million
How much interest (in millions) will it pay over the 10-year period? $ million
Answers
Answer:
look at the picture
Step-by-step explanation:
look at the picture
Related Questions
For the function G(x)=5x+1, evaluate G(−6).
Provide your answer below:
G(-6) =
Answers
Answer:
G(-6) = -29
Step-by-step explanation:
plug -6 into the equation
G(-6) = 5(-6) +1
multiply
G(-6) = -30+1
add
G(-6) = -29
Which of the following are square roots of the number below? Check all that
apply.
4
A. 41/2
B. 8
C. -41/2
D. 2
E. -2
F. 16
Answers
Answer:
D. 2
E. -2
Step-by-step explanation:
FInd the perimeter
14 3/4
4 1/2
8 1/2
10 2/5
10 2/5
12 4/5
Answers
The perimeter of the figure above is [tex]43\frac{22}{40} = 43\frac{11}{20}[/tex]
What is perimeter?The perimeter of a shape is the sum of the whole sides.
Therefore, perimeter of the figure is the addition of the whole length.
Hence,
perimeter = [tex]14\frac{3}{4}+4\frac{1}{2}+8\frac{1}{2}+10\frac{2}{5}+10\frac{2}{5}+12\frac{4}{5}[/tex]
let's convert to improper fraction for easy calculation.
Hence,
perimeter = [tex]\frac{59}{4}+\frac{9}{2}+\frac{17}{2}+\frac{52}{5}+\frac{52}{5}+\frac{64}{5}[/tex]
perimeter = [tex]\frac{590+180+340+60+60+512}{40} =\frac{1742}{40} = 43\frac{22}{40}[/tex]
learn more on perimeter here: https://brainly.com/question/11957651
#SPJ1
Find the slope and distance.
(6,-6) and (-6,+8)
Answers
Answer:
[tex]\rm slope: -\dfrac{7}{6}[/tex]
[tex]\rm Distance: 2\sqrt{85} \ units[/tex]
Part A[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y }{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
Here given points are: (6, -6), (-6, 8)
Insert the values:
[tex]\sf \rightarrow slope: \dfrac{8-(-6)}{-6-6}[/tex]
[tex]\sf \rightarrow slope: \dfrac{8+ 6}{-12}[/tex]
[tex]\sf \rightarrow slope: \dfrac{14}{-12}[/tex]
[tex]\sf \rightarrow slope: -\dfrac{7}{6}[/tex]
Part B[tex]\sf Distance \ between \ points : \sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Using the formula,
[tex]\sf d = \sqrt{(-6 - 6)^2 + (8-(-6))^2}[/tex]
[tex]\sf d = \sqrt{(-12)^2 + (14)^2}[/tex]
[tex]\sf d = \sqrt{144 +196}[/tex]
[tex]\sf d = \sqrt{340}[/tex]
[tex]\sf d = \sqrt{85 \times 4}[/tex]
[tex]\sf d = 2\sqrt{85}[/tex]
Hence, the distance is 2√85 units.
Hii!
___________________________________________________________
[tex]\stackrel\bigstar{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]
Slope =
Distance =
[tex]\stackrel\bigstar{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}[/tex]
[tex]\bullet[/tex] Let's work out the slope
[tex]\twoheadrightarrow\sf \cfrac{y2-y1}{x2-x1}[/tex]
[tex]\bullet[/tex] Stickin the values
[tex]\twoheadrightarrow\sf \cfrac{8-(-6)}{-6-6}[/tex]
[tex]\bullet[/tex] Simplify
[tex]\twoheadrightarrow\sf \cfrac{8+6}{-12}[/tex]
[tex]\bullet[/tex] Finish simplifying
[tex]\twoheadrightarrow\sf \cfrac{14}{-12}[/tex]
[tex]\bullet[/tex] Reduce the fraction
[tex]\twoheadrightarrow\sf \cfrac{7}{-6}[/tex]
____________________________________[tex]\bullet[/tex] Work out the distance
[tex]\twoheadrightarrow\sf \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
[tex]\bullet[/tex] Stick in the values
[tex]\twoheadrightarrow\sf \sqrt{(-6-6)^2+(8-(-6)^2}[/tex]
[tex]\bullet[/tex] Simplify the radical expression
[tex]\twoheadrightarrow\sf \sqrt{(-12)^2+14^2}\\\\\twoheadrightarrow\sf \sqrt{144+169} \\\\\twoheadrightarrow\sf \sqrt{340}\\\\\twoheadrightarrow\sf \sqrt{85\cdot4} \quad (simplifying\,the\,surd)[/tex]
[tex]\ddagger[/tex] [tex]\boldsymbol{DISTANCE=2\sqrt{85} \,Units}[/tex] [tex]\ddagger[/tex]
--
Hope that this helped! Best wishes.
--
What’s a 106.7 gpa into weighted form like on the 4.0 scale??
Answers
A 106.7 GPA into weighted form like on the 4.0 scale will be 4.26.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
As 106.7 out of 100 gives 106.7% calculated below:
Percentage formula = (Obtained value/total value) x 100.......eq(1)
Putting values:
= (106.7/100) x 100
= 106.7%
Now finding 106.7% of 4:
Putting values in eq (1):
106.7% = (Obtained value/4) x 100
106.7/100= (Obtained value/4)
1.067= (Obtained value/4)
4 x 1.067 = Obtained value
4.268 = Obtained value
Then 106.7% of 4 will be equal to 1.067 x 4 = 4.268
A 106.7 GPA into weighted form like on the 4.0 scale will be 4.26.
Learn more about rounding numbers here:
https://brainly.com/question/1285054
#SPJ1
21 less than or equal to -3(x-4) less than 30
Answers
Answer:
-3(-4-4) would work giving you 24
Step-by-step explanation:
im sorry that qustion doesnt make sense, if you mean higher then 21, less than 30 than -3(-4-4) would work giving you 24
simplify: (-291) × 134
Answers
Answer:
-38,994
Step-by-step explanation:
-291*134
=-38,994
Answer:
-38,994
Step-by-step explanation:
(-291) × 134
Apply PEMDAS.
Remember,
- × - = +- × 1 = -Solution:
Evaluating,we obtain
(-291) × 134-38,994determine whether each pair of lines is perpendicular parallel or neither
Answers
Answer:
1st set of equations - parallel
2nd set - perpendicular
3rd set - neither
Step-by-step explanation:
First set:
simplify the equation for line 1 by dividing by -4: y = 0.5x + 1
simplify the equation for line 1 by dividing by -6: y = 0.5x - 1.5
Both have the same slope: 0.5 so the lines are parallel.
Second set:
simplify the equation for line 1 by dividing by 3: y = -2/3x + 4
simplify the equation for line 1 by dividing by -4: y = 3/2x - 7/4
-2/3 * 3/2 = -1, so the lines are perpendicular
Third set
simplify the equation for line 1 by dividing by 1/2: y = -2x+4
simplify the equation for line 1 by dividing by 2: y = -1/4x +2
-2x+4=-0.25x+2
-2x+0.25x=2-4
-1.75x=-2
x=1.14
y=-2(1.14)+4 = 1.7143. So there is an intersection point
The pair of lines 2x - 4y = -4 & 3x - 6y = 9, 2x + 3y = 12 & and 6x - 4y = 7, and x + (1/2)y = 2 & (1/2)x + 2y = 4 will be parallel lines, perpendicular lines, and neither parallel nor perpendicular, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The pair of lines is given as,
2x - 4y = -4 ⇒ y = (1/2)x + 1
3x - 6y = 9 ⇒ y = (1/2)x - 3/2
The pair of lines are parallel to each other because the slope is equal.
2x + 3y = 12 ⇒ y = -(2/3)x + 4
6x - 4y = 7 ⇒ y = (3/2) x - 7/4
The pair of lines are parallel to each other because the product of slopes is -1.
x + (1/2)y = 2 ⇒ 2x + y = 4
(1/2)x + 2y = 4 ⇒ 2x + 4y = 8
The pair of lines are neither parallel nor perpendicular to each other.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
What is the range of y=sin(x)?
Answers
The range of y = sin(x) is [-1,1]
How to determine the range?The function is given as:
y = sin(x)
The above function is the parent function of a sine function.
A sine function has a minimum of -1 and a maximum of 1.
This is represented by the interval [-1,1]
Hence, the range of y = sin(x) is [-1,1]
Read more about range at:
https://brainly.com/question/10197594
#SPJ1
Sergio is learning about the six different skill-related components of fitness. What are these skill-related components? How does each component enhance performance levels?
Answers
Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.
What are these skill-related components?While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.
Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.
Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.
Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.
Therefore, balance is the skill mainly required in gymnastics.
To learn more about skill-related components of fitness follow the link:
brainly.com/question/750761
#SPJ1
Write 9.7 to one significant figure
Answers
9.7 to one significant figure is 10
How to approximate the number?We have:
9.7
To approximate to one significant figure, we have to estimate the number such that it is represented by a non zero digit.
When 9.7 is approximated, we have:
10
Hence, 9.7 to one significant figure is 10
Read more about approximation at:
https://brainly.com/question/24491627
#SPJ1
what is the intercepts for y=2x-7
Answers
Answer:
x-intercept: [tex](\frac{7}{2},0)[/tex]
y-intercept: [tex](0,-7)[/tex]
Step-by-step explanation:
to find the x intercept set y = 0 and solve
0 = 2x - 7
2x = 7
x = 7/2
to find the y intercept set x = 0 and solve
y = 2(0) - 7
y = -7
Somebody please assist me solve
(2) The number of incoming calls reaching the switchboard of a computer per minute is thought to be a Poisson random variable with rate 6.5. Compute
i)The probability that during any given minute, the switchboard will
receive between 4 and 6 calls inclusive.
ii)The probability that the operator will have a breathing spell of at least
30 seconds between successive calls.
iii)The mean time lag between two calls.
Answers
P(4) = (e^-6.5 x 6.5^4) / 4! = 0.111822…
P(5) = (e^-6.5 x 6.5^5) / 5! = 0.145368…
P(6) = (e^-6.5 x 6.5^6) / 6! = 0.157829…
P(between 4 and 6 inclusive) = 0.111822… + 0.145368… + 0.157829… = 0.4150 (4sf)
In a 30 second interval λ = 6.5 / 2 = 3.25
P(0) = (e^-3.25 x 3.25^0) / 0! = 0.03877
The probability of getting no calls in a 30 second interval is 0.03877 (ie less than 4%)
If the average number of calls in a minute is 6.5 then the average interval between calls will be 60/6.5 = 9.23 seconds.
Pandas: There is a well-studied panda population in Wuyipeng. In 1981 there were 25 pandas and the researchers determined that they had an annual population grows by 6.6% each year. Which of the following models correctly represents this data?
Answers
The equation that models the data on pandas is FV = 25(1.066)^t.
What models the data?The formula for calculating future value of the pandas is:
FV = P (1 + r) ^n
FV = Future value P = Present value R = annual population growthN = number of yearsFV = 25(1.066)^t
To learn more about future value, please check: https://brainly.com/question/18760477
#SPJ1
15 In the figure, O is the centre of the circle. The diameter of the circle, AB, is 14 cm, and
is the same as the length of each side of the square PQRS. Find
Answers
Answer:
56cmsquared
Step-by-step explanation:
if you look clearly at that question that diagram which has the coloured part out of that small square comes a quarter circle.
now take that quarter circle and get its area .
then put a dotted line such that they'll be formation of a triangle in that quarter circle.
then get the area of that quarter triangle in minus it from the area of the quarter circle.
and you'll get the area of 1 shaded part because you had subdivided those shaded parts by the dotted line you had kept earlier in order to emerge with a triangles
after that what multiply what you got by two to get the whole shaded part then finalize by multiplying by two because two shapes were shaded.
good day
The segments shown below could form a triangle.
A
C
B
8
O
B
A. True
B. False
15
A
Answers
Answer:
False
Step-by-step explanation:
these lines are unable to form a triangle, the longest line (BA) is 15. The other small lines (AC and CB) if added together, need to be longer than 15, otherwise if you were trying to form a triangle, they would not be able to connect completely with eachother while creating a triangle shape
North
A
72°
80m
115m
B
NOT TO
SCALE
The diagram shows the positions of three points A, B and C in a field.
(a)
Show that BC is 118.1 m, correct to 1 decimal place.
Answers
Using the cosine rule, BC = √(115² + 80² - 2(115)(80)(cos 72) ≈ 118.1 m (1 decimal place).
How to Use the Cosine Rule?If we are given a triangle with two known sides and an included angle, the cosine rule that can be used to find the side opposite to the given angle is: a = √(b² + c² - 2bc(cos A)
We are given the following:
a = BCA = 72°b = 115 mc = 80 mPlug in the values
BC = √(115² + 80² - 2(115)(80)(cos 72)
BC ≈ 118.1 m (1 decimal place)
Learn more about the cosine rule on:
https://brainly.com/question/23720007
#SPJ1
(a) {(1)¹⁰⁰ + (−1)¹⁰¹+(2500)⁰} x2³
Answers
Answer:
8
Step-by-step explanation:
You should have this in mind , one raise to the power of any number is one and also any number with the power zero is 1.
{(1)¹⁰⁰ + (−1)¹⁰¹+(2500)⁰} x2³
= 1 - 1 + 1 × 8
= 1 - 1 + 8
= 1 +7
= 8
ξ = {x:x is an integer, 2 ≤ x ≤ 14}
� = {x:x is a prime number}
� = {x:x is a multiple of 3}
Given that C ⊂ A, n(C)=3 and B ∩ C = ∅, list the members of a possible set C
Answers
The members of a possible set C are {6, 9, 12}
Set theoryThe universal set is the set that contains all other sets. Given the following sets
ξ = {x:x is an integer, 2 ≤ x ≤ 14}
B = {x:x is a prime number}
A = {x:x is a multiple of 3}
The sets B and A are:
B = {2, 3, 5, 7, 11}
A = {3, 6, 9, 12}
If C is a subset of A with a cardinality of 3, hence the required set will be {6, 9, 12}. Note that 3 is excluded since B n C must be an empty set.
Learn more on set here: https://brainly.com/question/2166579
#SPJ1
how to find the side length of x
Answers
x^2 + 5^2 = 10^2
x^2 + 25 = 100
x^2 = 75
x = +sqrt(75), -sqrt(75) = +5sqrt(3), -5sqrt(3)
Which of the following statements best describes the relationship between the point (3, 0) and the system
of inequalities below?
3x +2y ≤4
(-x+ 5y > 6
A. The point does not satisfy either the top or the bottom inequalities. Therefore, it is not a
solution to the system.
B. The point satisfies the top inequality but not the bottom. Therefore, it is not a solution to the
system.
C. The point satisfies the bottom inequality but not the top. Therefore, it is not a solution to the
system.
D. The point satisfies both the top and the bottom inequalities. Therefore, it is a solution to the
system
Answers
Answer:
d because the point satisfied both
Answer:
D
Step-by-step explanation:
Pls help why did she flip the sign i dont understand
Answers
Answer:
See below
Step-by-step explanation:
When you multiply or divide both sides of an inquality equation by a NEGATIVE number , it reverses the symbol to see this in action:
- 4n >36 Instead of dividing by -4 let's ADD - 4n to both sides
0 > 36 + 4n now SUBTRACT 36 from both sides
-36 > 4n re-arrange just a little
4n < -36 <======== see how the symbol has reversed ???
n < -9
Hii!
___________________________________________________________
Answer:
'Cause both sides were divided by a negative number! ^^
Step-by-step explanation:
The sign of the inequality was flipped because you divided both sides of the inequality by -4, which is a negative number.
When we divide, or multiply, both sides of an inequality by a negative number, we flip the inequality sign.
--
Hope that this helped! Best wishes.
--
Rewrite the following expression
X 9/7
Answers
Answer:
X1 2/7
Step-by-step explanation:
Step-by-step explanation:
We can write it in radical form, and the denominator of the exponent became the power of the radical. That is
And
We can also write it as
And that's the simplified form of the given exponential form .
In the expansion of (3a + 4b)^8, which of the following are possible variable terms?
a2b3; a7b; ab8; b8; a4b4; a6b2; a3b4; a8
i don’t get this can someone please explain
Answers
A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. The various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.
What is a binomial expression?A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. x² + 4x is an example of a binomial polynomial.
The variable terms that are possible in the expansion of (3a + 4b)⁸ are terms whose sum of powers is equal to 8.
a²b³ → 3 + 2 = 5 ⇒ Not possiblea⁷b → 7 + 1 = 8 ⇒ Possibleab⁸ → 1 + 8 = 9 ⇒ Not possibleb⁸ → 8 ⇒ Possiblea⁴b⁴ → 4 + 4 = 8 ⇒ Not possiblea⁶b² → 6 +2 = 8 ⇒ Possiblea³b⁴ → 3 + 4 = 7 ⇒ Not possiblea⁸ → 8 ⇒ PossibleHence, the various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.
Learn more about Binomial Expression:
https://brainly.com/question/2165968
#SPJ1
Simplify completely!!!
Answers
Answer:
h^24
Step-by-step explanation:
hope that helpssndbfbsb
Suppose f(x)=x²+4 and g(x)=2x+1.
Find the value of f(-2)g(-2).
Answers
Answer: -24
Step-by-step explanation:
I am assuming you want the value of (f × g)(-2)
[tex]f(-2)=(-2)^2+4\\f(-2) = 4+4\\f(-2)=8[/tex]
[tex]g(-2)=2(-2)+1\\g(-2)=-4+1\\g(-2)=-3[/tex]
8 × -3 = -24
please answer this! (from khan academy 6th grade math)
Answers
Answer:
(-5, -7) and the x-axis
Step-by-step explanation:
when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.
[remember: a point is written as (x, y) ]
We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)
We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:
-5 and 2 is 7
(2 - (-5) = 2 + 5 = 7)
so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)
(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)
(I've attached an image to help you visualize what we're doing)
hope this helps!!
for the previous problem some of the work was done for you remember when solving a quadratic equation you must start with all terms on one side and put it in standard form for the following equations first put the equation in standard form and them use quadratic formula to solve 9x^2 -25 = -12-10x
4n^2-1=-12n +3n^2+11
Answers
Solving the given equations we get,
Solutions of quadratic equation [tex]9x^2-25=-12-10x[/tex] are x=0.77 and -1.88Solutions of quadratic equation [tex]4n^2-1=12n+3n^2+11[/tex] are n=12.93 and -0.93If the quadratic equation is [tex]ax^2+bx+c=0[/tex] then the solutions of this are given by,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here in the problem given that,
The first quadratic equation is [tex]9x^2-25=-12-10x[/tex]
Converting it into standard form of quadratic equation we get,
[tex]9x^2-25=-12-10x\\9x^2-25+12+10x=0\\9x^2+10x-13=0[/tex]
So here a=9,b=10,c=-13
The solutions of the equation is given by,
[tex]x=\frac{-10\pm\sqrt{10^2-4\times9\times(-13)}}{2\times9}=\frac{-10\pm\sqrt{100+468}}{18}\approx\frac{-10\pm23.83}{18}[/tex]
So either,
[tex]x=\frac{-10+23.83}{18}=\frac{13.83}{18}\approx0.77[/tex]
Or,
[tex]x=\frac{-10-23.83}{18}\approx-1.88[/tex]
So the solutions are given by x=0.77 and -1.88
Second quadratic equation is [tex]4n^2-1=12n+3n^2+11[/tex]
Converting the equation in its standard form we get,
[tex]4n^2-1=12n+3n^2+11\\4n^2-1-12n-3n^2-11=0\\n^2-12n-12=0[/tex]
so here a=1,b=-12,c=-12
Solutions are given by,
[tex]n=\frac{-(-12)\pm\sqrt{(-12)^2-4\times1\times(-12)}}{2\times1}=\frac{12\pm\sqrt{144+48}}{2}\approx\frac{12\pm13.86}{2}[/tex]
So either
[tex]n=\frac{12+13.86}{2}=12.93[/tex]
Or,
[tex]n=\frac{12-13.86}{2}=-0.93[/tex]
Solutions are given by n = 12.93 and -0.93
Hence the solutions are x=0.77 and -1.88 for first equation and n=12.93 and -0.93 for second equation.
Learn more about Quadratic Equation here -
https://brainly.com/question/1214333
#SPJ10
Question is the attachment
Answers
If both pipes are opened. Then the number of hours to fill up the tank fully is 100 hours.
The complete question is attached below.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Let t be the filling time.
Then we have
Time is inversely proportional to rate of filling tank.
1/20 – 1/25 = 1/t
0.05 - 0.04 = 1/t
0.01 = 1/t
t = 1/0.01
t = 100 hours
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ1
solve the following inequality ( algebra 1 )
Answers
Answer:
m<1 OR m>7
Step-by-step explanation:
3m<5-2
3m<3
m<1
m+1>8
m>8-1
m>7
Answer:
m<1 or m>7
Step-by-step explanation:
3m + 2 < 5
3m + 2-2 < 5-2
3m < 3
[tex]\frac{3m}{3}[/tex] < [tex]\frac{3}{3}[/tex]
m < 1
[tex]\frac{m+1}{2}[/tex] > 4
[tex]\frac{m+1}{2}[/tex]*2 > 4*2
m +1 > 8
m +1 -1 > 8 -1
m > 7
