The value of the quantity after 96 months, to the nearest hundredth is 1146.66
Exponential equationsThe standard expression for an exponential equation is expressed as:
P(t) = P0e^rt
Given the following parameters
Po = 800
rate r = 4.5% = 0.045
time t = 8 years
Substitute
P(8) = 800e^0.045(8)
P(8) = 1146.66
Hence the value of the quantity after 96 months, to the nearest hundredth is 1146.66
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a company has issued 8% debentures of rs 10 each at a discount of 10% repayable after 10 years, find out the cost of capital
If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.
What is pretax cost of Debt?A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.
The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.
When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.
Thus the year one pretax cost of Debt capital will be Rs. 1 per debenture and 8% cost of debt.
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pls help 10 pts
NO LINKS
Answer:
58.61%
Step-by-step explanation:
Your total backyard is 18ft * 9ft = 162 ft^2
Your patio is 5ft * 8ft = 40 ft^2
Your Garden is 4ft * 7ft = 28 ft^2
Your walkway is 3ft * 9ft = 27 ft^2
Add all those areas together you have 95 ft^2
95 of 162 = 58.61%
‐3 + 4(a – 3b + 2) – 5(2 – a + 3b)
Answer: 15a – 12b – 5.
Step-by-step explanation: To solve this equation, we need to distribute the constants in front of the parentheses. Doing so, we get:
-3 + 4(a – 3b + 2) – 5(2 – a + 3b)
= -3 + 4a – 12b + 8 – 10 + 15a – 15b
= (15a – 12b) + (-10 + 8) – 3
= 15a – 12b + -2 – 3
= 15a – 12b – 5
Thus, the solution to the equation is 15a – 12b – 5.
Q.
Jim is buying a new front door for his house. What is the best estimate for the height of a door?
A) 7 inches
B) 7 yards
C) 7 feet
D) 70 feet
Answer:
The best estimate would be C. 7 ft
Step-by-step explanation:
This is more of a logical question. When you think about a door, 7 inches is out. 7 yards would be 21 ft and that is unusually tall for a door, as is 70 feet.
WILL MARK BRAINLIEST!
Given: Parallelogram ABCD, calculate the length of AD
A business school wants to compare a new method of teaching reading to slow learners to the current standard method. They decide to base this comparison on the results of a reading teat given at the end of a learning period of six months. Of a random sample of 11 slow learners. 5 are taught by the new method and 6 are taught by the standard method. All 11 children are taught by qualified instructors under similar conditions for a six month period. Assume that the populations are normally distributed and the population variances are equal.
New Method Score: 81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
Test at 1% level of significance that the new method is worse than the old method, i.e., average score obtained by the new method is less than the average score obtained by the standard method. Compute the mean and standard deviation of each data set.
State the null and the alternative hypotheses.
H0:
H1:
Write down the formula of the test statistics and find its value.
Determine the rejection region and make a decision.
Make a conclusion in the context of the problem.
Answer:
Kindly check explanation
Step-by-step explanation:
New Method : 81 80 79 81 76
Standard Method Score: 69 68 71 68 73 72
H0 : μn = μa
H0 : μn < μa
New Method :
Using a calculator :
Sample size, n1 = 5
Mean, x1 = 79.40
Standard deviation, s1 = 2.07
Standard Method :
Using a calculator :
Mean, x2 = 70.17
Sample size, n2 = 6
Standard deviation, s2 = 2.14
T = (x1 - x2) / √(s1²/n1 + s2²/n)
(x1 - x1) = (79.40 - 70.17) =79.40 -= 9.23
√(s1²/n1 + s2²/n2) = √(2.07²/5) + 2.14²/6) = 1.2729
T = (x1 - x2) / √(s1²/n1 + s2²/n)
T = 9.23 / 1.2729
Test statistic = 7.25
The Pvalue from Tscore at, smaller n - 1 = 5 - 1 = 4
Pvalue = 0.000961
Decision region :
If Pvalue < α ; Reject H0 ; otherwise fail to reject H0
α = 0.01
Since, Pvalue < α ; We reject H0 ; and conclude that new method is worse rhn the old.
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Is this a function? Answer only if you know if you put links I will report
Answer:
No
Step-by-step explanation:
You can tell if something is a function by checking to see if a vertical line will intersect at one spot more than once. If it does, it is not a function.
help I have one hour left please
Answer:
At 8:45
He was at 90
He then went 20 kilo meters.
So,your final answer is 20 kilometers.
Step-by-step explanation:
how fast are you going if the bus youre on drives the 6km to school in 10 minutes
Answer:
22.38 mph
Step-by-step explanation:
6km=3.73 miles
3.73m in 10 min
10*6 =60 minutes = 1 hour
3.73*6 = 22.38
22.38 miles per hour
The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4 –15 + y1 =16 = y1
Using the formula of midpoint of a line, the coordinate of the endpoint k is (-6, 31)
What is Midpoint of a LineThe midpoint of a line is the point that is halfway between the two end points of the line. It can be found by taking the average (mean) of the x-values and the average (mean) of the y-values of the two endpoints.
The formula of midpoint of a line is given as;
M(x, y) = (x₂ + x₁) / 2, (y₂ + y₁) / 2
Since we have the midpoint and one endpoint, we can use the coordinate to find the missing coordinate.
The x - coordinate is calculated as;
-1 = (4 + x₁) / 2
-2 = 4 + x₁
x₁ = -2 - 4
x₁ = -6
The y - coordinates is calculated as;
8 = (-15 + y₁) / 2
16 = -15 + y₁
y₁ = 16 + 15
y₁ = 31
The coordinates of k is (-6, 31)
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A right triangle has coordinates ( − 3 , 4 ) , ( 3 , 6 ) , and ( − 1 , − 2 ) . What is the area of the right triangle?
Answer: 20 sq units
Step-by-step explanation:
A quick sketch graph will show the right angle is at (-3 ,4)
The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)
Area = 1/2 x (sqrt(40))^2 = 20
If you didn’t have a right angle you could find the lengths of all sides a, b and c
Calculate the semi perimeter s = (a+b+c) / 2
And the area = sqrt(s(s-a)(s-b)(s-c))
Try and use this method to check the first one!
Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
0.828 oz=________cg
Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.
What is metric conversion?A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.
The conversion between ounces (oz) into centigram (cg) is given as follows:
1 oz = 2834.95
To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:
(0.828) (2834.95)
2347.35
Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.
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A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and il will choose the other foods on the next trial with equal probabilities of 25%. If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Answer:
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Step-by-step explanation:
Given - A lab animal may eat any one of three foods each day. Laboratory records show that if the animal chooses one food on one trial, it will choose the same food on the next trial with a probability of 50%, and it will choose the other foods on the next trial with equal probabilities of 25%.
To find - If the animal chooses food #1 on an initial trial, what is the probability that it will choose food #2 on the second trial after the initial trial?
Proof -
By the given information, we get the stohastic matrix
[tex]H = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]
As we know that,
The matrix is a Markov chain [tex]x_{k+1} = Hx_{k}[/tex]
Let
The initial state vector be
[tex]x_{0} = \left[\begin{array}{ccc}1\\0\\0\end{array}\right][/tex]
we choose this initial vector because given that If the animal chooses food #1 on an initial trial.
Now,
[tex]x_{1} = Hx_{0} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}1\\0\\0\end{array}\right] \\= \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]
∴ we get
[tex]x_{1} = \left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right][/tex]
Now,
[tex]x_{2} = Hx_{1} \\ = \left[\begin{array}{ccc}0.5&0.25&0.25\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]\left[\begin{array}{ccc}0.5\\0.25\\0.25\end{array}\right] \\= \left[\begin{array}{ccc}0.25+0.0625+0.0625\\0.125+0.125+0.0625\\0.125+0.0625+0.125\end{array}\right]\\= \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]
∴ we get
[tex]x_{2} = \left[\begin{array}{ccc}0.375\\0.3125\\0.3125\end{array}\right][/tex]
∴ we get
The probability that it will choose food #2 on the second trial after the initial trial = 0.3125
Can y’all help me on question 35?!
Answer:
c
Step-by-step explanation:
C becasue 1 week = 15 mulitipication facts memorized
Which of the following statements must be true based on the diagram below?
Select all that apply. (Diagram is not to scale.)
UV is a segment Bisector.
What is a segment Bisector?A segment bisector is a line, ray, or segment that splits another line segment in half evenly at its center. The midpoint of the line segment is always bisected by the line, which divides it into two equally sized parts.
What is the bisector rule?The angle bisector theorem states that a triangle's opposite side is divided into two parts by an angle bisector that is proportional to the triangle's other two sides.
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Please do 1. and 2.! 25 points, please need asap!
Step-by-step explanation:
1
We can see that RS divides ∆PQS into two equal parts
So,
PR = RQ
Therefore
RQ = 5.1
Now
PQ = PR + RQ
=> PQ = 5.1 + 5.1
=> PQ = 10.2
2
Here
KM is the angle bisector
So
JM = ML
JM = 46
Five people each working eight hours a day can assemble 400 toys in a five day work week. What is the average number of toys assembled per hour per person?
Answer:
There are 5 people working and each person works 8 hours per day, so there are a total of 58 = <<58=40>>40 hours of work per day.
Over the course of the week, the total number of hours worked is 405 = <<405=200>>200 hours.
The total number of toys assembled is 400 and the total number of hours worked is 200, so the average number of toys assembled per hour per person is 400/200 = <<400/200=2>>2 toys per hour per person. Answer:{2}.
Step-by-step explanation:
If each of the numbers in the following data set were multiplied by 12, what
would be the median of the data set?
28, 58, 20, 14, 18, 71,36
O A. 240
O B. 336
O C. 696
O D. 432
Answer:
A. 336
Step-by-step explanation:
have a good day! :)
Answer: B. 336 is the answer
How many days are in 800 hrs? Round your answer to the nearest tenth.
Answer:
800 hrs = 33.3 days
Step-by-step explanation:
1 day = 24 hours
800 hours = 800/24 = 33.33
Round to the nearest tenth:
33.3 days
Solve: S=2(lw+lw+wh) for w
Answer:
[tex]w=\frac{s-2lh}{2(h+l)}[/tex]
Step-by-step explanation:
Given the equation, [tex]S=2(lw+lh+wh)[/tex], solve for w.
[tex]S=2(lw+lh+wh)[/tex], distribute the 2.
=> [tex]S=2lw+2lh+2wh[/tex], subtract [tex]2lh[/tex] from both sides.
=> [tex]S-2lh=2lw+2wh[/tex], factor out a [tex]w[/tex] from the right-hand-side.
=> [tex]S-2lh=w(2l+2h)[/tex], now divide [tex](2l+2h)[/tex] from each side.
=>[tex]\frac{S-2lh}{2l+2h}=w[/tex]
Final answer: [tex]w=\frac{s-2lh}{2(h+l)}[/tex]
Timothy bought a house for $360,000. He paid 20% down, and agreed to pay $1,375.69 per month for 30 years. His payment of $1,375.69 does not include property tax and insurance. How much interest will Timothy pay in 30 years?
INTREST-300000
Step-by-step explanation:
36000000
please answer this is due at 11:59PM!!!
Answer:
Step-by-step explanation:
An explanatory variable is what you manipulate or observe changes in while a response variable is what changes as a result (e.g., reaction times). The words “explanatory variable” and “response variable” are often interchangeable with other terms used in research.
write the missing digits to make this addition correct
_2_+_2=200
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
Karen grew a pumpkin that weighed 4.3 pounds for the competition at the
county fair. Nancy grew a pumpkin that weighed 5.2 pounds. Who grew the
largest pumpkin, Karen or Nancy?
A. Nancy
B. Karen
does anyone know what this is?!?
Answer:
A is 55°
B is 60°
Step-by-step explanation:
A + 125° = 180° (since they're in a straight line, they're a linear pair. Sum of the angles equals 180°)
A = 180° - 125°
A = 55°
A + B + 65° = 180°
A, B and 65° are angles of a triangle, so the sum of these 3 angles equals 180°
A + B + 65° = 180°
Since angle A equals 55°,
55° + B + 65° = 180°
120° + B = 180°
B = 180° - 120°
Angle B equals 60°
Can someone please help me With explanation please ty
Answer:
Basically asking you which two numbers multiplied together is 20. Keep in mind this is a triangle so you'll need to divide the product by 2. In this case, it would be C.4 and 10
4 time 10 is 40
40/2 = 20
Step-by-step explanation:
Can y’all help me on question 12?!
Answer:
C)
Step-by-step explanation:
5 x 3 = 15
15 + 6 = 21
Your answear is C
Answer:
C,D, and F should be the correct answers.
Step-by-step explanation:
C. 5(3)= 15+6=21
D. 7(3)= 21-2=19
F. 5(3)=15
PLEASE HELP! What is the sum of the geometric series?
Answer:
-2 is the answer of your question
hope it is helpful to you
There are 8 boxes of erasers in the supply closet. Each box contains 9 erasers. How many erasers are there in all?
Answer:
each box contain 8 x 9 = 72
Find x, mKJL, and mKJM.
Answer:
x= 4
m∠KJL= 22
M∠KJM= 44
Step-by-step explanation:
i dont think u need explanation