Answer:
4.07%
Step-by-step explanation:
To obtain the effective rate :
We use :
(1 + r/m)^m - 1
r = rate = 4% = 0.04
m = number of compounding times per year = 12
Effeective rate :
(1 + 0.04/12)^12 - 1
1.0407415 - 1
Effective rate = 0.0407415
0.0407415 * 100%
= 4.07%
8. Multiple Choice: Which equation is the factored form of x2 + 2x - 3 = 0?
a) (x - 1)(x + 3) = 0
b) (x - 1)(x - 3) = 0
c) (x - 3)(x + 1) = 0
d) (x+3)(x + 2) = 0
Answer:
X= 1
Y= -3
Factor and set each factor equal to 0
Exercise 1 Usage of free production capacity
A factory has ended a non-profitable production line. As a result, there is a reasonable amount
of free production capacity available. The management team considers to use this capacity for
manufacturing one or more of the products A, B and C. Before a product can be sold it has to be
treated by 3 machines. The table below shows the available capacity per machine and the amount
of hours required to manufacture a product:
Machine type Available capacity Product A Product B Product C
(hours per week)
Machine 1
500
9
3
5
Machine 2
350
5
4
0
Machine 3
150
3
0
2
It is expected that each unit of product A and B that is manufactured can be sold, while the
number of sales of product C is at most 20 units per week. The profit per unit is 50, 20 and 25 Euro
for product A, B and C, respectively. The manufacturing team wants to maximize total profit.
Formulate this problem as a linear programming problem and explain which decision variables are
used.
Answer:
Step-by-step explanation:
The measure of an angle is 61.3 degrees. What is the measure of its complementary angle?
Answer:
118.7
Step-by-step explanation:
180-61.3
The radius of a semicircle is 4 millimeters. What is the semicircle's perimeter?
Answer:
20.57
Step-by-step explanation:
4 × 7/8 = ? 4 × 6/8 =?
Answer:
4 × 7/8 = 3.5
Step-by-step explanation:
4 × 6/8 = 3
Answer:
3.5 and 3
Step-by-step explanation:
Which statements are true?
Select each correct answer.
A. All triangles have 3 straight sides.
B. Only some triangles are polygons.
C. All triangles are plane figures.
D. All triangles have 3 angles.
E. All triangles have one right angle.
Answer:
C. c. c.c.c.cc.c.c.
Step-by-step explanation:
Theorem: In any circles the same ratio of arc length to radius determines a unique central angle that the arcs subtend:
and conversely, equal central angles determine the same ratio of arc length to radius.
Prove the theorem above using the definition of the radian measure of an angle.

Pls someone help me
Complementary and supplementary angles
How do you make an array of 5/6 x 3/4 ?
Find the value of x or y so that the line through the points has the given slope.
Answer:
x= -6
Step-by-step explanation:
(-1+5)/(x+3) = -4/3
4/(x+3)= -4/3
-4(x+3)= 3(4)
-4x-12= 12
-4x= 24
x= -6
Cherri filled out a deposit slip today. She deposited two checks for $56.13 and $22.10 and took out $20 in cash.
What was her net deposit?
Answer:
$58.23
Step-by-step explanation:
Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.
what is 90divided by 9??
Answer:
10 bc 9 • 10 = 90
Step-by-step explanation:
Assume that random guesses are made for six multiple choice questions on an SAT test, so that there are n = 6 trials, each with probability of success (correct) given by
p=0.35. Find the indicated probability for the number of correct answers.
Find the probability that the number of correct answers is fewer than 4.
P(X<4)=0
(Round to four decimal places as needed)
Answer:
0.9830 = 98.30%
Step-by-step explanation:
Which function is shown in the graph below? On a coordinate plane, a function is shown. The curve starts in quadrant 4 and curves up to quadrant 1. It goes through (0.5, negative 0.4), (1, 0), and (6, 1). y = log Subscript one-sixth Baseline x y = log Subscript 0.5 Baseline x y = log Subscript 1 Baseline x y = log Subscript 6 Baseline x
Answer:
c
Step-by-step explanation:
The y-values of the graph increases as the value of x increases, which
indicates that a characteristic of the base of the logarithm function.
Correct response:
The function that corresponds with the graph is; [tex]\underline{\mathrm{y = log_6 x}}[/tex]How can the function of a log graph be determined?The given points on the graph are;
The point where the graph starts = Quadrant 4
Direction of the graph = From quadrant 4 to quadrant 1
Points on the graph are;
(0.5, -0.4), (1, 0), and (6, 1)
The given options are;
[tex]y = \mathrm{log_{\frac{1}{6} } x}[/tex]
[tex]y = \mathrm{log_{0.5} x}[/tex]
[tex]y = \mathrm{log_1 x}[/tex]
[tex]y = \mathrm{log_{6} x}[/tex]
From the shape of the graph, in which, log x increases as x increases, therefore;
The base, b, of the logarithm is larger than 1, given that we have;
[tex]\mathbf{log_bx} = y[/tex]
[tex]\mathbf{b^y} = x[/tex]
From the given coordinate points, x increases as y increases, therefore;
b > 1
The possibly option is therefore, y = log₆x
Verifying, we have;
At x = -0.4, y = 0.5
[tex]b^y = x[/tex]
[tex]6 ^{(-0.4)}[/tex] ≈ 0.488
Therefore, the point (0.5, -0.4) is close to the graph of y = log₆x
At the point (1, 0), we have;
6⁰ = 1
Therefore, the point (1, 0), is on the graph of y = log₆x
At the point (6, 1), we have;
6¹ = 6
Therefore, the point (6, 1) is on the graph of y = log₆x
The function of the graph is therefore;
[tex]\underline{ \mathrm{y = log_6 x}}[/tex]Learn more about logarithmic functions here:
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-7(-2y-x+3)
7(-2y-x+3)
Answer:
14y+x-21
-14y-x+21
Step-by-step explanation:
Use I = PRT to find the total amount in the savings account. Type in "money fo $1555.00 at 8% for 2 years
IF YOU ANWSER IM GIVING YOU 50 POINTS!
Step-by-step explanation:
use an interest calculator it is going to be much easier
I believe its $6986.25
https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx
Alaina wants to decide whether her current cell phone plan is better than the package that another company offers
Answer:
Step-by-step explanation:
look for another phone company then
If y varies jointly as x and z and y = 12 when x = -2 and z=3, find y when x is 4 and z is -1
A. 6
B. 9
C. 4
D. 8
Answer:
D. 8
Step-by-step explanation:
y varies jointly as x and z
y = k(xz)
-------------------------
Find k, the constant of variation
y = 12 when x = -2 and z=3
12 = k(-2 * 3)
12 = k(-6)
k = -2
-------------------------
find y when x is 4 and z is -1
using k = -2
y = -2(4 * -1)
y = -2(-4)
y = 8
Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
ANSWER THIS ASAP NO FILE AT ATT!! IM AT 69 I NEED A 70 JUST GET IT RIGHT
Answer:
A
Step-by-step explanation:
A shows a counterclockwise 90° rotation, so it is the correct answer.
B shows a reflection.
C shows a translation.
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9
Answer: Center (3,-5); radius 3
Step-by-step explanation:
The center and radius of the circle defined by the equation is (3, -5) and 3.
What is Equation of Circle?The standard equation of a circle is given by:
(x-h)² + (y-k)² = r²
Where (h,k) is the coordinates of center of the circle and r is the radius.
We have Equation,
x² + y² -6x + 10y +25= 0
Now, rearranging the terms
x² -6x + y² +10y +25 = 0
Now, add and subtract 9
x² -6x + 9 + y² +10y +25 -9 = 0
(x-3)² + (y+5)² = 3²
(x- 3)² + y(-(-5))² = 3²
So, the Centre of Circle is (3, -5) and the radius is 3.
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What is the volume of the cube
Answer:
the answer should be V = a³=2³=8cm³
Answer:
8cm
Step-by-step explanation:
The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.
Round to the nearest whole dollar: $9.49
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)
Answer:
At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.
Step-by-step explanation:
The probability that you will have to deal with no more than 4 incidents of identity theft in the next year is 30.08 %
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 )
Now , the success is one of your customers once every 9 weeks
So , p = 1/9
q = 1 - p = 8/9
x = 4
Number of trials n = 52 weeks
And , the probability that you will have to deal with no more than 4 incidents be P ( x ≤ 4 ) is
P ( x ≤ 4 ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 52! / ( 48 )! 4! ] ( 1/9 )⁴( 8/9 )⁴⁸
On simplifying the equation , we get
P ( x ≤ 4 ) = 0.3008
P ( x ≤ 4 ) = 30.08 %
Therefore , the value of P ( x ≤ 4 ) is 30.08 %
Hence , the probability of no more than 4 incidents is 30.08 %
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The slope of the line that passes through the point (-2, -4) and (-3, -8) is ______
Answer:
4
Step-by-step explanation:
We know ,
Slope = difference of y co ordinate / difference of x coordinate
=> m = -8+4/-3+2
=> m = -4/-1
=> m = 4
Which ratio is the same as 2/3?
Answer:
The ratio 2 : 3 is the same as the ratio of 6 : 15.
I dont know if that the same at what you refer.
Answer:
4/6, 6/9, 8/12, 10/15
Step-by-step explanation:
Basically you keep adding 3 to the denominator, and multiply the numerator by 2
ANSWER ASAP! WILL MARK BRAINLIEST!
Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7
х|у
4|5
6|4
х|у
2|8
8|5
x|y
2|10
6|14
x|y
2|9
8|6
Answer:
The first and last set
y = (-1/2) + 10
Step-by-step explanation:
Two points form a line
The first and last set have a slope of -1/2
and b intercept of 10
х|у
4|8
6|7
y = (-1/2) + 10
and
x|y
2|9
8|6
y = (-1/2) + 10
The requried, tables that represent the same function are tables 1 and 3.
What is function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.
Here,
The tables that represent the same function are:
x|y
4|8
6|7
x|y
2|8
8|5
For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.
The other tables do not represent the same function, as they have different outputs for the same input values.
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which expression is equivalent to (7x^3)^2 (x^8)^1/2
Answer:
Step-by-step explanation:
Need help ASAP plz !!!!!
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)