Answer:
21.4%
Step-by-step explanation:
You would pay back a 21.4%
The simple interest rate on the loan of $1400 is approximately 21.4% per year.
What is the simple interest rate of the loan?The simple interest can be expressed as:
A = P( 1 + rt )
Where A is accrued amount, P is the principal, r is the interest rate and t is time.
Given the parameter:
Principal P = $1400
Accrued amount A = $2000
Time t = 2 years
Interest rate r =?
Plug these values into the above formula and solve for the interest rate.
A = P( 1 + rt )
[tex]r = \frac{1}{t} * ( \frac{A}{P} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = 0.21428[/tex]
Convert r decimal to R a percentage
R = 0.214 × 100
R = 21.4% per year
Therefore, the rate is approximately 21.4% per year.
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twelve million, one hundred and two thousand one hundred and twenty?
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 35 Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "%" after your answer).
Ages Number of students
15-18 10
19-22 8
23-26 9
27-30 4
31-34 4
35-38 5
Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:
f = 5/40 = 1/8 = 0.125 = 12.5%.
The relative frequency for the class with a lower class limit of 35 is of 12.5%.
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how many values of x will satisfy the equation -2|3x-5|=0
Answer:
1 value
Step-by-step explanation:
spicifically 5/3
The x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
What is modulus?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
According to the question
-2|3x-5|=0
Step1: Dividing -2 both side
|3x-5|=0
Step 2: Open modulus
3x-5=0 and - 3x+5=0
3x=5 and - 3x = - 5
x = [tex]\frac{5}{3}[/tex]
Hence, the x satisfy only 1 value and x is [tex]\frac{5}{3}[/tex] .
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what is value of question mark the polynomial between perfect square?
x2+26+?
Answer:
Step-by-step explanation:
(26/2)² = 169
Matthew got 36 problems right out of a total of 40 problems on a test. What percent of the problems did he get right?
Answer: 90%
Step-by-step explanation: Well let us look at it together let’s make a small example, We know that 20 out of 40 would be 50 percent because it’s half. While using this info we can find out that...
1 out of 40 would be 2.5 percent.
2.5 percent times 14.4 = 36 percent.
36 percent of 40 = 90%
~akire lester
At a Clover City Council meeting, a plan to fund more sign language programs was presented. The reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. If this is true, the council will agree to fund more programs for these parents. The council decides to take a 175-person volunteer sample of parents in Clover City that have children with auditory issues and conduct a significance test for H0: p = 0.25 and Ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. They will perform the significance test at a significance level of α = 0.05 for the hypotheses.
Part A: Describe a Type II error that could occur. What impact could this error have on the situation? (3 points)
Part B: Out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. What can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses? (4 points)
Part C: What possible defect in the study can you find in Part B? Explain. (3 points)
Part A: A Type II error in this context is failing to reject the null hypothesis that 25% of parents with hearing impaired children have the ability to pass a sign-language exam when actually less than 25% are able to pass it.
Part B: We fail to reject the null hypothesis because the p-value of 0.96 is larger than α = 0.05. The evidence is not substantial that the proportion of parents with hearing impaired children in Clover City who are able to pass a sign language exam is less than 0.25. The sample proportion of phat = 0.96 is greater than 0.25.
Part C: The sample of 175 parents with hearing impaired children in Clover City was a group of volunteers, so most likely they were confident in their ability to pass a sign language exam which could better the chances of more passing sign language exams.
tHanks again everyone
[tex]\\ \rm\rightarrowtail 4x-2y=12[/tex]
[tex]\\ \rm\rightarrowtail 2y=4x-12[/tex]
[tex]\\ \rm\rightarrowtail y=4/2x-12/2[/tex]
[tex]\\ \rm\rightarrowtail y=2x-6[/tex]
Done
find the LCD of 1/3and2/7
Answer:
21
Step-by-step explanation:
Find the value of the sine for A
80 m
60 m
B
a.
4
Iw
d.
Please select the best answer from the choices provided
Ο Α
ОВ
Mark this and return
Sana and Bui
Answer:
B
Step-by-step explanation:
sin = opp/hyp
The opposite side to angle A is side BC, which has a length of 60.
The hypotenuse is AB, which we can find the length of using the Pythagorean theorem. Using the Pythagorean theorem, we get that AB=100.
So the sine of A = 60/100 = 3/5
Which property was used to simplify the expression?
4(0+2)=4b+8
O distributive property
O commutative property
associative property
O inverse property
Help
Answer:
Distributive propertyStep-by-step explanation:
Note is seems typo, b = 0
Given, expression
4( b + 2) = 4b + 8It represents distributive property of multiplication a(b + c) = ab + ac
Correct choice is the first one
of 10
Write 64 as a product of primes.
Use index notation where appropriate.
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
Write 64 as a product of primes.
Use index notation where appropriate.
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex]Prime\ no.\ is\ 2[/tex]
Factorisation of 64=2×2×2×2×2×2
[tex]{2}^{6} [/tex]
you plan to go to a college that charges $12,120 per year. you have $29,000. how many years will you be able to go to that college?
Answer: You will be able to go for 2 full years.
Step-by-step explanation:
12,120 x 2 = 24,240. You will have $4760 leftover.
Answer: You will be able to go for 2 years and about 3 months
Step-by-step explanation:
HELP ASAP
3) x'=
Justify:
122
X
a man has a garden measuring 84 metre by 56 he want to divide them equally into the minimum number of square plot what is the length of each square plot answer please in maths
Answer:
6
Step-by-step explanation:
84 = 3 x 28
56 = 2 x 28
Minimum number of square plot, each square is 28 x 28
the number is 3 x 2 = 6
tHiS qUeStIoN iS EaSy ToO. pLeAsE hAlP.
Answer:
41/10 or 4.1......
Step-by-step explanation:
Under her cell phone plan, Micaela pays a flat cost of $47 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Micaela can use while staying within her budget.
Answer:
≤ 4.3 gigabytes
Step-by-step explanation:
Flat fee + cost for x gigabytes = her budget
47 + 5 * x ≤ 68.50
5x = 68.50 - 47 ≤ 21.50
x ≤ 21.50/5 = 4.3 gigabytes
Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.
Let, "x" to represent the number of gigabytes of data Micaela can use while staying within her budget.
The total cost can be calculated by adding the flat cost of $47 to the cost based on the gigabytes used ($5 per gigabyte):
Total Cost = Flat Cost + (Cost per Gigabyte * Number of Gigabytes)
Given that Micaela wants to keep her bill at $68.50 per month, we can set up the equation:
68.50 = 47 + 5x
Now, solve for x:
68.50 - 47 = 5x
21.50 = 5x
Divide both sides by 5:
x = 21.50 / 5
x = 4.3
So, Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.
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I need help with this question please
Answer:
210 mph
Step-by-step explanation:
speed of jet = x
headwind: speed = x - 27
time taken = 1134.6/(x - 27)
tailwind: speed = x + 27
time taken = 1469.4/(x + 27)
same amount of time:
1134.6/(x - 27) = 1469.4/(x + 27)
Cross multiply,
1134.6(x + 27) = 1469.4(x - 27)
1134.6x + 30634.2 = 1469.4x - 39673.8
334.8x = 70308
x = 210 mph
Write the equation in standard form for the circle x² + y² + 4y + 3 = 0
Answer:
x^(2)+(y+2)^(2)=1
Step-by-step explanation:
How is the area of polygons used to find surface areas of formulas for three dimensional figures
Answer:
V = l × b × h
HELPPPPPP MEEEE PLEASEEE....on mathh
Answer:
7
Step-by-step explanation:
Whole numbers that go one after another are called consecutive numbers. If you add 4 consecutive numbers, you get the smallest of these numbers multiplied by 5. What is this smallest number?
Answer:
The smallest number be 6.
Step-by-step explanation:
Let the 4 consecutive numbers be :
n,n+1,n+2,n+3 where n is the smallest number
Adding up the 4 consecutive numbers, we get :
n+n+1+n+2+n+3 = 4n+6
ATQ,
4n+6 = 5n
Taking like terms together,
6=5n-4n
⇒ n = 6
So, the smallest number be 6.
List the even numbers between 3 and 13 in set
notation
Answer:
{4,6,8,10,12}
Step-by-step explanation:
Even numbers are those that can be divided by 2 without remainder i.e. they are divisible by 2.
The first positive even numbers are 2,4,6,8,10,12,14,16,18...
Selecting the numbers in the given range between 3 and 13 in set notation:
{4,6,8,10,12}
Answer:
4, 6, 8, 10, 12
Step-by-step explanation:
List the even numbers between 3 and 13 in set
notation
[4, 6, 8, 10, 12]
thanks
PLS HELP REAL BAD
ILL MARK U AS BRAINLY!!
Answer:
the answer is 4
Step-by-step explanation:
Answer:
A. 4 divided by 1/6=24
Step-by-step explanation:
I did the test.
Pam read 126 pages of her summer reading book
in 3 hours. Zack read 180 pages of his summer
reading book in 4 hours. If they continue to
read at the same speeds, will they both finish the
215-page book after 5 total hours of reading?
Answer:
Step-by-step explanation:
No Zack will finish first
Answer:
Only Zack will finish
Step-by-step explanation:
126/3 = 42
42*5 = 210
180 / 4 = 45
45 * 5 = 225
If you can can i have brainliest
What’s the answer please
Answer:
to know what scale to use you divide the the highest score by the number of hozirontal line (feint/lighter drawn lines) which are 14.
so 260 ÷ 14 equals = 18.57
I then rounded the 18.57 to the nearest 10th = 20.
so the scale used is 20s
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at the movie?
Answer:
12 boys
Step-by-step explanation:
7 x 3 = 21
4 x 3 = 12
12 boys
Classify the triangle by its angles.
Answer:
D. obtuse
Step-by-step explanation:
The largest angle tells you the sort of triangle it is. Here, the largest angle is more than 90°, so the triangle is classified as obtuse.
__
If it were exactly 90°, the triangle would be a right triangle. A largest angle less than 90° means the triangle is an acute triangle.
_____
Additional comment
The two angles opposite the obtuse angle have the same measure. That means the triangle can be further classified as isosceles. In an equilateral triangle, all three angles have the same measure: 60°.
Why is a convergent and b divergent?
Part (a)
This sequence is convergent because all we care about are the leading terms for the numerator and denominator. As n gets really large, the leading terms dictate what happens.
The leading term up top is 9n
The leading term down below is 7n
Divide the two items to get (9n)/(7n) = 9/7
We don't have to worry about dividing by zero because n will go off to infinity, and as it does so, the sequence [tex]\{a_n\}[/tex] converges to 9/7
========================================================
Part (b)
As n heads to infinity, the terms of the sequence are approaching 9/7 (they never quite hit the exact value though).
Note how 9/7 = 1.2857 approximately which is larger than 0
So effectively for very large values of n, we're adding on 1.2857 each time or close to it, meaning that this infinite series diverges.
------
For a series like this to converge, the answer to part (a) must be 0. This way at some point, we're effectively adding 0 to the series and we approach some fixed sum.
For example, consider the sequence 1/(7n+1)
As n goes to infinity, the terms of the sequence approach 0
This means that for some very large n, the 1/(7n+1) is basically 0 and we aren't adding much onto the sum to change it. So this sum will converge to a fixed value.
please answer quick!!
The graph shows y = cot(x). Which of the following are true of its inverse? Check all that apply.
Zeros: None
Domain: All real numbers
Range: [0, π]
Minimum: 0
Maximum: None
Increasing intervals: The entirety of its domain
Answer:
Zeroes: None
Domain: All real numbers
Maximum: None
Step-by-step explanation: