Answers
The principal that would need to be invested is $4202.
What is the principal?We know that the principal has to do with the amount of money that you have to invest so as to be able to obtain an interest. The interest in this case is a simple interest and it is charged on the principal. The amount is the sum of the principal and the interest.
We now have;
A = I + P
A = amount
I = interest
P = principal
But I = PRT/100
R = rate
T = time
We have;
A = PRT/100 + P
5000 = P * 9.5 * 2/100 + P
5000 = 19P/100 + P
5000 = 19P + 100P/100
5000 * 100 = 119P
P = 500000/119
P = $4202
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Related Questions
A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be small.
ii. The p-value will not be small.
Answers
Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
[tex]H_{a}: p \neq 0.2[/tex]
Five choices for each question, one of which is correct.
Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
Help please!!!! I’ll appreciate it so much!
Answers
Answer:
13. x = 4
14. x = -16
15. x = 11
Step-by-step explanation:
Tell whether the following binomial is a factor of the polynomial
binomial- (x+8)
Polynomial- x^5-8x^4+8x-64
Please help :)
Answers
Answer:
Given polynomial
x⁵-8x⁴+8x-64= x⁴(x-8)+8(x-8)= (x-8)(x⁴+8)
after factorization of the given polynomial we didn't get any factor (x+8) , hence the following bionomial is not the factor of the polynomial.
A metal bar weighs 9.65 ounces. 78% of the bar is Gold. How many ounces of
Gold are in the bar? (round to the nearest thousandths)
Answers
Answer: 7.527 oz
Step-by-step explanation: 78%= 0.78
Mass of gold is 0.78 · 9.65 oz = 7.527 oz
Are (-2,4), (2,4), (4,2), (-2,-4) a function?
Answers
Answer:
Yes
Step-by-step explanation:
Help,,,,,,,,,,,,,,,........
Answers
Because it’s right after A which is 0
All of number 3 plz and thank u!
Answers
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?
(wrong answer will get you reported)
Answers
Answer:
43
Step-by-step explanation:
172/4= 43
Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1
Answers
Answer:
8
Step-by-step explanation:
k
Ez hw for my lil sis
Answers
Answer:
an apple is a cirlce and phone is a rectangle
Step-by-step explanation:
Answer:
Triangle and Circle
Banana and apple
Pizza and Pineapple
Bread and Corn
Whisper is exercised twice a day.
The first time is for 30 minutes.
The second time is for 11 hours.
i. Write down the fraction of a day that Whisper is exercised.
Write your answer in its simplest form.
ii.
Write down the fraction of a day that she is not being exercised.
Answers
Answer:
I:23/48
ii 25/48
Step-by-step explanation:
30min=0.5hr
total time exercised: 11+0.5=11.5hr
Divided by total hours of a day:
11.5/24=115/240=23/48
ii:(48-23)/48
ii.12.5/24hrs
STEP BY STEP EXPLANATION
1st time = 30 minutes
=0.5hr
2nd time=11hrs
Altogether =11.5hrs
1 day =24hrs
Fraction =11.5/24hrs
ii. Hrs not exercised = hrs in a day - hrs exercised
= 24hrs - 11.5hrs
= 12.5hrs
Fraction of day not exercised = hrs not exercised/hrs of the day
= 12.5/24hrs
Will mark brainliest !! Easy math
Answers
Answer:
increase = 37.38 cm²
You'd like the first way because it took less effort and less chance of a miscalculation.
Step-by-step explanation:
first way:
(just work with the difference in height)
(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²
second way:
old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4
new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78
increase = 1692.78 - 1655.4 = 37.38 cm²
Answer:37.38cm2
Step-by-step explanation:
If I invest $1,000 at an 8.5% interest rate, how much money will I earn over 6 years?
Answers
6,000$
if the answer is wrong i am sorry :(
Answer:
$510
Step-by-step explanation:
B
130 ft
10°
19°
A
D
Answers
A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-intercept
form?
Answers
explanation: y=mx+b
Answer:
y=6x+9
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
what is the lateral area of the cone? 10 yd and 12.1 yd
Answers
Answer:
The lateral area will be "381 yd²". A further solution is provided below.
Step-by-step explanation:
The given values are:
Radius of cone,
r = 10 yd
Height of cone,
L = 12.1 yd
As we know,
The lateral surface area of cone is:
= [tex]\pi r L[/tex]
On substituting the values, we get
= [tex]\frac{22}{7}\times 10\times 12.1[/tex]
= [tex]\frac{22}{7}\times 121[/tex]
= [tex]380.28 \ yd^2[/tex]
0r,
= [tex]381 \ yd^2[/tex]
Find the degree of the polynomial – 3x + x² +3.
Answers
Answer:
Step-by-step explanation:
Degree means highest exponent. got it?
Hope this helps :)
A satellite system consists of 4 components and can function if at least 2of them are working. If each component independently works with probability 0.8, what is the probability the system will function?
Answers
Answer:
X follows binomial distribution with n=4, p=0.6, q= 0.4. To make the system function adequately, at least 2 components should work well.
Step-by-step explanation:
Hope this helps
Answer:
0.9728
Step-by-step explanation:
We have 2 options for the system to fail - no components work, or only one works.
The probability that no components work is:
[tex]0.2^4 = 0.0016[/tex]
The probability that one SPECIFIC component works and the others failed is:
[tex]0.2^3 \cdot 0.8 = 0.0064[/tex]
And because there's 4 components, the chance that EXACTLY ONE works but the others don't is:
[tex]4 \cdot 0.0064 = 0.0256[/tex]
So we sum the probabilities:
[tex]P_{failure} = 0.0016 + 0.0256 = 0.0272\\P_{works} = 1 - P_{failure} = 0.9728[/tex]
Find the value of x. Round to the
nearest tenth.
х
33
6
Answers
Answer:
cos(33) = 6/X
cos(33)*6= X
X= 5.03202340767254
rounded to the nearest tenth it is 5
therefore X= 5
The value of x in the given digram using trigonometry to the nearest tenth is 7.15.
What is the value of x ?The given image is a right triangle. A right triangle is a triangle that has three sides with one of the angles measuring 90 degrees.
Given an angle and the length of the adjacent side, we are to determine the value of the hypotenuse using cos.
Cos = adjacent / hypotenuse
cos 33 = 6 /h
h = 6 / cos 33
h = 6 / 0.83867
h = 7.15
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HELP ASAP A factory makes car batteries. The probability that a battery is defective is is.
If 400 batteries are tested, about how many are expected to be defective?
A. 25
B. 40
C. 16
D. 375
Answers
375 is the ansewer wwrhttttttttttttttttttt
Answer:
25
Step-by-step explanation:
COMBINE ALL LIKES TERMS.
r+r+r+r
r+3r+2
Answers
Answer:
r+r+r+r=4r
r+3r+2=4r+2
Step-by-step explanation:
1. r+r+r+r
r+r+r+r
=(r+r)+(r+r) ⇔ Group two together
=2r+2r ⇔ Simplify
=4r
2. r+3r+2
r+3r+2
=4r+2
Hope this helps!! :)
Please let me know if you have any quesitons
Answer:
8r+2
Step-by-step explanation:
Find the probability
Answers
Answer:
33.3333%
Step-by-step explanation:
each side would be 50% and if one side is split between three it would equal if it was 16.6667 each
since tehre are two red sides multiply 16.6667 by 2 and u get 33.3333%
Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to know about the diagonals to prove that a quadrilateral is a parallelogram
Answers
Answer:
B. They must bisect each other
Step-by-step explanation:
Found the answer on quizziz
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
B
Step-by-step explanation:
brainliest?
IF YOU ANSWER ALL THESE QUESTIONS I WIL LGIVE YOU BRAINIEST AMD 40 POINTS COME UP WITH PROBLEMS THANKS
Answers
Answer:
WHY YOU ARE ALWAYS SAY THAT CAN YOU WHOLE QUESTION..
If I get 9 books for $36 of much does one cost
Answers
One book costs $4.00.
What is the value of 4+2 +6r – tr when t =
=
- 3 and r = 5?
Enter your answer in the box.
Answers
you first substitute your values t and r ...Use BODMAS method ...Your final answer must be 51
Are these triangles similar? If yes, write a similarity statement.
Answers
Suppose y varies directly with x and inversely with z. If y = 14 when x = 7 and z = 3, what is x when y = 3 and z = 8? Use the step-by-step process you learned to solve this problem.
Step 1: Set up the correct type of variation equation.
y =
✔ kx/z
Step 2: Determine the constant of variation.
k =
Answers
Answer:
The constant of variation k is 6 and the value of x is 4.
Step-by-step explanation:
What is constant of variation?
The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another.
What is direct variation?
A direct variation is a proportionality relationship in which two quantities follow a direct relationship.
What is inverse variation?
Inverse variation states when one variable increases then the other variable decreases.
Given,
y=14 when x=7 and z=3
The variation equation is,
y=kx/z
Inputting the values,
14=(k*7)/3
14*3=7*k
42=7k
k=6
When y=3, z=8 we will find x.
y=kx/z
3=6*x/8
3*8=6*x
x=24/6
x=4
Hence, the value is 4.
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It takes Paul 9 hours longer than Li Ming to paint a house. Working together they can do the job in 20 hours. How long would it take Li Ming, working alone, to paint the house ?
Answers
Li Ming can paint the whole house in 10 hours