Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
Limit as x approaches 0 of (sin^2x)/x
Answer:
0Step-by-step explanation:
Given the expression
[tex]\lim_{x \to \ 0} \frac{sin^2x}{x}[/tex]
Substitute the value of x in the function
[tex]= \frac{sin ^2(0)}{0}\\= 0/0 (indeterminate) \\[/tex]
Apply l'hospital rule
[tex]\lim_{x \to \ 0} \frac{d/dx(sin^2x)}{d/dx(x)} \\= \lim_{x \to \ 0} \frac{(2sinxcosx)}{1} \\[/tex]
Substitute the value of x
= 2 sin(0)cos(0)
= 2 * 0 * 1
= 0
Hence the limit of the function is 0
Find the area of the figures below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenth place
Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Paul will select a random sample of students to create a 95 percent confidence interval to estimate the proportion of students at his college who have a tattoo. Of the following, which is the smallest sample size that will result in a margin of error of no more than 5 percentage points?
Answer:
385
Step-by-step explanation:
Given that:
Margin of Error (MOE) = 5% = 0.05
Zcritical, 95% = Z(1-α/2) = Z0.025 = 1.96
MOE = Zcritical * (√p(1-p))/n)
p is taken as 0.5 when not stated ;
5 = 1.96 * sqrt[(0.5 * 0.5) / n]
5 = 1.96 * sqrt(0.25/n)
Square both sides
(0.05/ 1.96)² = 0.25/n
0.0006507 = 0.25/n
0.0006507 * n = 0.25
n = 0.25 / 0.0006507
n = 384.20162
Sample size = 385
If f(x) = 3x – 1 and g(x) = x², then what is (fºg)(x)?
Answer:
3x^2-1
Step-by-step explanation:
Answer:
f(x) = 3x – 1 and g(x) = x²
Putting the value of g(x) in f(x), we get
(fog)(x)= f{g(x)}= f(x²) = (3x²-1)
(3x²-1) is the right answer.What is the area of a triangle with a
base of 6m and a height of 7m
Answer:
It is 21
Step-by-step explanation:
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant
Answer:
Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question
A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below
answer :
y-intercept = 25.9047
slope = 2.8420
Step-by-step explanation:
Determine the slope for the regression equation and y intercept
The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )
y = 25.9047 + 2.8420x
from the equation gotten above
y-intercept = 25.9047
slope = 2.8420
HELP ME WITH THIS QUESTION ASAP
Answer:
5x + 10 y = 70
Step-by-step explanation:
Mrs. Write makes cookies for the school bake sale. She uses the equation y=0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A) 5 cookies per dollar
B) $2 per cookie
C) 50 cookies per dollar
D) $0.50 per cookie
Answer:D
Step-by-step explanation: just trust me on this one i have a 103% in 9th grade math
A veterinarian uses a specific formula to calculate the dosage of an antibiotic given to dogs with bacterial infections. For each 10 pounds of a dog's weight, she treats the dog with 50 mg of antibiotic per dose. Which of the following graphs describes the relationship between a dog's weight and the antibiotic dosage used to treat it?
Answer:
The first graph.
Step-by-step explanation:
Just took the test, got it right. Every increase of ten pounds is an increase in 50 mg of treatment, and it should start at 0.
The best option is first graph. The graph clearly shows the relationship between a dog's weight and the antibiotic dosage used to treat the dog.
What is graph?A graph is "diagrammatic or pictorial representation of the collection of data in organized manner."
According to the question,
A veterinarian uses a specific formula to calculate the dosage of an antibiotic given to dogs with bacterial infections. For each 10 pounds of a dog's weight, she treats the dog with 50mg of antibiotic per dose.
The horizontal line in the graph represents the dog's weight in (l b) and the vertical line in the graph represents the amount of dosage is used for treatment for bacterial infection of the dog.
Every increase of ten pounds is an increase in 50 mg dosage of treatment, and it should start at 0 in the graph.
Hence, the best option is first graph. The graph clearly shows the relationship between a dog's weight and the antibiotic dosage used to treat the dog.
Learn more about graph here
https://brainly.com/question/12017879
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Many grocery store chains offer customers a card they can scan when they check out and offer discounts to people who do so. To get the​ card, customers must give​ information, including a mailing address and​ e-mail address. The actual purpose is not to reward loyal customers but to gather data.
Required:
What data do these cards allow stores to​ gather, and why would they want that​ data?
Answer:
1. The data that these cards allow stores to gather are customer data.
2. The stores want the data to enable them understand the customer, their buying goals, customer preferences, and spending patterns. These data enable the stores to stock their stores to meet customers needs. They also use the data to understand the individual customers credit history and buying habits.
Step-by-step explanation:
Customer data are essential assets which businesses use to understand their customers. They obtain the data through firsthand responses from customers, through investigation, or by asking direct questions. Many organizations use loyalty cards to help them gather customer data, such as individual preferences and spending patterns.
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1300 voters in the town and found that 45% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
The value of the test statistic is t = 2.19.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Sample of 1300 voters:
This means that [tex]n = 1300[/tex]
Found that 45% of the residents favored construction.
This means that [tex]X = 0.45[/tex]
A political strategist wants to test the claim that the percentage of residents who favor construction is more than 42%.
This means that [tex]\mu = 0.42[/tex], and by the Central Limit Theorem:
[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.42*0.58}{1300}} = 0.0137[/tex]
So, the test statistic is:
[tex]t = \frac{X - \mu}{s}[/tex]
[tex]t = \frac{0.45 - 0.42}{0.0137}[/tex]
[tex]t = 2.19[/tex]
The value of the test statistic is t = 2.19.
Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Drag and drop an answer choice into each empty box below.
0 5 10
+
Drag and drop items from the box above to accurately complete the
statement below.
Identify the value of aj and complete the recursive rule for Mr. Gary's
sequence.
ai =
an = an-1
Answer:
this could be wrong but for this question i put 10 as the first blank and for the second blank i put - and then for the third i put 5
Step-by-step explanation:
Im not sure on this. I have the same fsq and we haven't learned this yet but this is what I put because the sequence is subtracting 5
Answer:
Step-by-step explanation:
the answers is 75,000,000
Three of the vertices of square ABCD are located at A(0,3), B(4,0), and C(7,4).
Determine the area of square ABCD.
Answer:
The area of the square ABCD is 25 square units
Step-by-step explanation:
The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.
The area of the square is
[tex]A = a^2[/tex]
Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):
[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]
[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]
a = 5
Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:
[tex]A = 5^2 = 25[/tex]
The area of the square ABCD is 25 square units
Find two consecutive whole numbers that 83 lies between.
Answer:
82, 84
Step-by-step explanation:
Write an integer to express: What is the temperature if it
is 50 degrees above zero?
Answer:
49 degrees
Step-by-step explanation: You are basically counting from 0 to 49
Let 3x + 9 = 5x – 3. What is the value of 4x ?
Answer: 24
Step-by-step explanation:
3x + 9 = 5x - 3
9 = 2x - 3
12 = 2x
x = 6
6 * 4 =24
4x = 24
Find the surface area of the rectangular prism.
4 mi
5 mi
4 mi
Answer:
112
Step-by-step explanation:
A = 2 (wl+hl+hw)
A = 2 (4 x 5 + 4 x 5 + 4 x 4)
A = 2 (20 + 20 + 16)
A = 2 x 56
A = 112
Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit ?
What percent of 75 is 21?
I need help with this.
Answer:
D=4
C=12.56
Step-by-step explanation:
D=2r
d=2×2
D=4
C=pi ×D
C=3.14×4
C=12.56
1000000000000 x 21392938402840
Answer:
2.1392938e+25Step-by-step explanation: you just times it so u get this answer
Answer:
2.13929384 x10^25
Step-by-step explanation:
use a calculator
48 - 2C = 88 solve for C
Answer:
c = -20
Step-by-step explanation:
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 48 from both sides of the equation:
-2c + 48 = 88
-2c + 48 (-48) = 88 (-48)
-2c = 88 - 48
-2c = 40
Next, divide -2 from both sides of the equation:
(-2c)/-2 = (40)/-2
c = 40/(-2) = -20
c = -20 is your answer.
~
a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.
Answer:
so what is the question?
Sherry has rings and bracelets in her jewelry box. the number of rings is 7 less than 3 times of the number of bracelets. How many pieces of jewelry does she have if she has 4 bracelets?
The last tutor was SUPER rude and would NOT answer my question.
Answer:
i think its 14. if not sorry
Step-by-step explanation:
again sorry if im wrong sorry
A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?
A. Each calculator costs $1,000.
B. The account had $1,000 before buying calculators.
C. Each calculator costs $80.
D. The account had $80 before buying calculators.
Answer:
C. Each calculator costs $80.
Step-by-step explanation:
Linear equation:
Has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.
In this question:
Amount remaining after buying x calculators:
[tex]y = 1000 - 80x[/tex]
So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.
The answer is given by option C.
If ∆HBN~∆LYR, find the value of x.
Answer:
x=6
Step-by-step explanation:
32-21 = 11
28-11 = 17
17-11 = 6
x=6
Combine like terms.
Please help me.
Answer:
15y^2-45
Step-by-step explanation:
5y^2+10y^2-45 = 15y^2-45
Solve for the value of x and y if ADCB - NOPM.
I need that please
Answer:
can we see the picture?
Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field
Answer:
$44,313.75
Step-by-step explanation:
First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.
0.101 km * 1000= 101 meters
0.065 km * 1000 = 65 meters
Now we need to multiply these values together to find the area of the field
101m * 65m = 6,565[tex]m^{2}[/tex]
Finally, we need to multiply this area by the cost per square meter
6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75
The total repair will cost $44,313.75
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?