Answer:
5 i think
Step-by-step explanation:
what sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum
Given:
Amount = 8700
Time = 3 years
Rate of interest = 24% per annum
To find:
The principal values.
Solution:
Formula for amount:
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, A is amount, P is principal, r is the rate of interest and t is the number of years.
Putting [tex]A=8700,r=24,t=3[/tex], we get
[tex]8700=P\left(1+\dfrac{24}{100}\right)^{3}[/tex]
[tex]8700=P\left(1+0.24\right)^{3}[/tex]
[tex]8700=P\left(1.24\right)^{3}[/tex]
[tex]8700=1.906624P[/tex]
Divide both sides by 1.906624.
[tex]\dfrac{8700}{1.906624}=P[/tex]
[tex]4563.0391729=P[/tex]
[tex]P\approx 4563.04[/tex]
Therefore, the principal value is about 4563.04.
Hunh put $3000 into a savings account that earns 6% simple interest annually. After six years, how much money will Hunh have?
Answer:
4,080.00
Step-by-step explanation:
The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 6% per year for 6 years is $4,080.00.
A sociologist wishes to conduct a poll to estimate the percentage of Americans who favor affirmative action program for women and minorities for admission to colleges and universities. What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04, with 95% confidence, if she uses a 2003 estimate of 0.55 obtained from a Gallup Youth Survey
Answer:
A sample of 595 should be obtained.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Estimate of 0.55
This means that [tex]\pi = 0.55[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2[/tex]
[tex]n = 594.2[/tex]
Rounding up,
A sample of 595 should be obtained.
A study was conducted to investigate whether there are regional differences in peanut butter preference in the United States. The country was divided into 7 geographic regions, and in each region a random sample of peanut butter eaters were asked whether they preferred creamy or crunchy peanut butter. The responses were summarized in a 7-by-2 table of counts for each combination of geographic region and creamy or crunchy peanut butter preference. Which of the following tests is the most appropriate for the investigation?
Answer:
C- Chi-square test for Homogeneity
Step-by-step explanation:
Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.
Barkly Doghouses charges
$50 per sq. ft. for their dog
houses. What is the cost of a
doghouse that is 4.8 sq. ft.?
Please Help!
Answer:
$240
Step-by-step explanation:
À Box Contain 2 yellow and 3 blue
Cards in how many ways Can 3 Cards
be selected if
(a) If at least 1 card must be yellow
(b) lf at least 1 Card must be blue
Answer:
A) 1 Yellow, 2 Blue
B) 2 Yellow, 1 Blue
Describe the relationship between the inputs and outputs in the diagram. Then complete the diagram. WILL NAME BRAINLIST!!!!!!!!!!!
Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
The expression x^2- x + 8.75 factors as (x + 2.5)(x - a) for some positive value "a". What is a?
step by step, please.
Answer:
3.5
Step-by-step explanation:
Write out quadratic
[tex] {x}^{2} - x + 8.75[/tex]
We are given that x+2.5 is a factor.
So our roots look like
[tex](x + 2.5)(x - a)[/tex]
Let apply the foil method to find some missing parts.
[tex]x \times x = {x}^{2} [/tex]
[tex]x \times - a = - ax[/tex]
[tex]2.5 \times x = 2.5[/tex]
[tex]2.5 \times - a = - 2.5a[/tex]
We know that the outer terms must multiply to 8.75. We also know that the middle terms must add up to -1.
[tex] - 2.5a = 8.75[/tex]
[tex] 2.5x - ax = -1[/tex]
The only number that satisfy this equation is
[tex] - 3.5[/tex]
Since it already negative, it is
[tex]3.5[/tex]
Just want to confirm the answer is 4 more student because from 6 to 10 is 4
More or I’m wrong ?? Just please help me with yes or no thanks
Answer:
Yes
Step-by-step explanation:
Your answer is correct ^^
Multiple Choice
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
o A. P= 35 in., A = 300 in.2
O B. P = 70 in., A = 300 in.2
o C. P = 300 in., A = 70 in.2
o D. P = 35 in., A = 200 in.2
9514 1404 393
Answer:
B. P = 70 in; A = 300 in²
Step-by-step explanation:
The perimeter is the sum of the side lengths. Opposite sides are the same length, so the perimeter is ...
P = 20 in + 15 in + 20 in + 15 in = 2(20 in +15 in) = 2(35 in)
P = 70 in.
Only answer choice B has the correct value. (Its area figure is also correct.)
what is axis of symmetry?
Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
Step-by-step explanation:
Answer:
Step-by-step explanation:
An axis of symmetry is a line that cuts your graph into two equal parts. In other words, the graph is symmetric about the line.
WHY IS NO ONE ANSWERING MY QUESTIONS
Answer:
perimeter = 2 * pie * r
r = 17 foot = 17/3 yards
3ft = 1 yard
perimeter = 2 * 3.14 * 17/3
= 2 * 22/7 * 17/3
= 44 * 17 / 21
= 35.605 yards
YAAAAY! WE FOUND THE ANSWER!!!! ITS THE OPTION B.35.605 LETS GET IT!!!!!
Step-by-step explanation:
So what I did was basically found the perimeter of the circle.. perimeter of circle is 2 multiplied by pie multiplied by r..and then I found the r value...and ye...we r finished.
STREAM LGO AND DYNAMITE
WE ARE ABOUT TO REACH 1B
HOPE I HELPED U KPOP BESTIE!
BYEEE
[(p^q)^r] is equivalent to [p^ (q^r)]
Answer:
True
Step-by-step explanation:
Just write down the answer.
you get brainliest and points if you help me answer these two questions
Please help me if not that’s fine no links!
Answer:
30°
Step-by-step explanation:
53°+97°+x = 180°
The sum of three angles must equal 180°
Solve the equation.
150°+x = 180°
x = 180°-150°
x = 30°
Therefore, x = 30°
Which equation is right
Answer:
b.5²+12²=13² is your answer
Hi there :D
I am struggling. I will mark brainliest!
Answer:
400.2
Step-by-step explanation:
A = π r l + π r²
l = √r² + h²
Solving for A
A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)
on a double number line representes a heart rate in beats per min. how many minutes until the heart beats 300 times
Answer:
60
Step-by-step explanation:
HELP! LOOK AT THE PHOTO
Answer:
The answer to the question provided is 30.
Step-by-step explanation:
[tex]5x - 80 + 2x + 50 = 180 \\ 7x - 30 = 180 \\ \frac{ \: \: \: \: \: \: + 30 = + 30}{ \frac{7x}{7} = \frac{210}{7} } \\ x = 30[/tex]
[I apologize if the answer to the question is inaccurate]
Answer: 30
Step-by-step explanation:
Based on the graph of the trigonometric functions f (θ) = 4sin θ + 3 and g (θ) = cos 2θ, at what value(s) on the interval [0, 2π) does f (θ) = g (θ)?
pi over 4 comma 3 times pi over 4 comma 5 times pi over 4 comma 7 times pi over 4
3 times pi over 2
pi over 2 comma 5 times pi over 2
5 times pi over 4 comma 7 times pi over 4
The value on the interval [0, 2π) where f(θ) = g(θ) is 3π/2.
To find the value(s) on the interval [0, 2π) where f(θ) = g(θ), we need to set the two functions equal to each other and solve for θ.
Setting f(θ) = g(θ), we have:
4sin(θ) + 3 = cos(2θ)
Now, we can solve this equation. Let's break it down step by step:
Rewrite cos(2θ) using the double-angle identity: cos(2θ) = 1 - 2sin^2(θ)
The equation becomes: 4sin(θ) + 3 = 1 - 2sin^2(θ)
Rearrange the equation:
2sin^2(θ) + 4sin(θ) + 2 = 0
Divide the entire equation by 2:
sin^2(θ) + 2sin(θ) + 1 = 0
Factorize the equation:
(sin(θ) + 1)^2 = 0
Solve for sin(θ):
sin(θ) = -1
The value of sin(θ) is -1 at θ = 3π/2.
As a result, 3π/2 is the value on the interval [0, 2π) where f(θ) = g(θ).
for such more question on interval
https://brainly.com/question/23558817
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what is 4=y−5 divided by 3
( the problem is written different it could also be read ad 4=y-5/3 i think because there is like a long line under the y-5 an under the line its 3 plz help
Answer:
y=17
Please mark me as brainliest.
Number of spots
32
30
28
26
24
22
20
18
16
14
12
10
...
.
2 3 4 5 6 7 8 9 10 11 12 13
Weight (g)
A. negative
Ο Ο Ο
B. parabolic
C. strong
Answer:32 30 28 16
Step-by-step explanation:
Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.
Answer:
108 degrees
Step-by-step explanation:
you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108
find the mean 8,10,7,3,9,6,4,1
Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14
Answer:
7√x = 14
Step-by-step explanation:
A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.
The equation which is a radical equation from the given answer choices is; 7 √x = 14.
What is a radical equation?According to the task content;
It follows that we are required to determine the equation which is a radical equation.On this note, the required equation is 7 √x = 14 because the variable is under a radical.
Read more on radical equation;
https://brainly.com/question/2292715
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Geometry Question Need Help. I will give brainliest
Answer:
-4 + 5 + 1 is your answer I am the teacher of your Colony
pls help =pdndjn mkZbn v
Answer:
Step-by-step explanation:
Past: The birds flew away quickly
Present: The geese honk at the passerby
Future: The ducklings will hatch soon
Answer:
[Past] The birds flew away quickly.
[Present] The geese honk at passersby.
[Future] The ducklings will hatch soon.
_______________________________
I can't see the options on the second image.
WILL GIVE Brainlst
ANSWER PLSS
Answer:
1. D
2. D
Step-by-step explanation:
First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x
So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.
2. In the equation, she did “1 - 17/ 1 - 20”
This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be
1 - 17/ 20 - 1
someone help i cannot open files please type
Answer:
175..................................
Jalice is an artist who makes paintings with basic shapes. She
wants to create a painting that has a total of 19 shapes, all
squares and triangles. She also wants the painting to have 11
more squares than triangles.