Answer:
C
Step-by-step explanation:
A sinking fund is established to discharge a debt of $20,000 in 15 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 5%, compounded semiannually, what is the amount of each deposit? (Round your answer to the nearest cent.)
Answer:
the amount of each deposit is $45,555
Step-by-step explanation:
The computation of the each deposit is shown below:
Given that
Future value be $20,000
Time period = 15 × 2 = 30
And, the rate = 5% ÷ 2 = 2.5%
Now the formula is as follows
= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1
= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1
= $50,000 ÷ 1.0975675791
= $45,555
Hence, the amount of each deposit is $45,555
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55.) The order in which the selections are made does not matter. How many different selections are possible?
Answer:
Number of different selection = 50C6
Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700
Step-by-step explanation:
The number of the different ways of selections are possible will be 28,989,675.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).
The order in which the selections are made does not matter.
Then the number of the different ways of selections are possible will be
⇒ ⁵⁵C₆
⇒ (55!) / [(55 - 6!) × 6!]
⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]
⇒ 11 × 3 × 53 × 13 × 51 × 25
⇒ 28,989,675
Thus, the number of the different ways of selections are possible will be 28,989,675.
More about the permutation and the combination link is given below.
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Need answer ASAP
A book weighing 1.0 newton is lifted 2 meters. How much work was done?
(Calculating work and power)
Formulas: Work= force × distance
Power= work/time or power= (force × distance)/time
Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)
Answer:
A. y-intercept
B. Both
C. x-intercept
D.Neither
E. x-intercept.
Step-by-step explanation:
A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.
Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?
Answer:
90%
Step-by-step explanation:
19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%
Which equation represents the line that passes through (2, -1) and is
perpendicular to the graph of y=-2x +1. (Please show all your work)
Answer:
y=(1/2)x-2
Step-by-step explanation:
Remember y=mx+b equation.
If is perpendicular to y=-2x+1 that has the slope -2, then the slope is negative reciprocal so is 1/2
Use the (x-x1)m= (y-y1) equation and the given point (2, -1),
so (x-2)1/2=(y+1); x-2=2y+2; 2y=x-2-2; 2y=x-4; y=(1/2)x-2
For what values of x is the trigonometric equation tan(x − 180°) − sin(x − 180°) = 0, where 0 ≤ x < 360°, true?
{0°, 90°}
{0°, 180°}
{90°, 180°}
{90°, 270°}
Answer:
It's the second option {0°, 180°}
Explanation:
Given a trigonometric equation in degrees where tan(x − 180°) − sin(x − 180°) = 0 .
Since this is multiple choice, you can use the process of elimination to get rid of the incorrect answers.
You can think of sin as the y or vertical component of a rotation, cos as the x or horizontal component of a rotation, and tangent as we know to be sin/cos. Remember, this rotation is oriented in the counterclockwise direction so it is going leftward starting at (1,0). We also know that 360° is a full rotation so the rotation rule for each interval of 90 degrees counter clockwise is 0° or 360° (x,y) → 90° (-y,x) → 180° (-x,-y) → 270° (y,-x).
So if sin(90°) is 1, cos must be 0 as (1,0) → (0,1) , which means tan is N/A (undefined) since 1/0 = N/A. And undefined + 1 ≠ 0 so anything with 90° is incorrect. That leaves us with the second option {0°, 180°} because it is the only one that excludes 90°.
The answer is B. {0°, 180°}
How many times does 2/3 go into 7 1/3
Answer:
11
Step-by-step explanation:
7 1/3 ÷ 2/3 = 11
(please give brainliest)
Answer: 1/11
Explanation:
KCF
(keep, change, flip)
27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?
Answer:
25t+95 or 5(5t + 19)
Step-by-step explanation:
The total of the sound fee = $25
The total of the rental fee = $95
Write is as an equation and you can get 25t + 95 or 5(5t + 19)
May someone tell me what the value of x is ?
Answer:
maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation:
What are the x-and y-intercepts of -3x + 5y = 15?
A. 17, 10
B. -3, -5
C. -5,3
D. 15, 15
Help me pleasee
Answer: y= -5/3 x -1
Step-by-step explanation:
i need help pls asap
Answer:
Y=114 X=54
Step-by-step explanation:
Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X
I need help to solve the equation
Answer:
D) X=-6
Step-by-step explanation:
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances
Answer:
An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.
Step-by-step explanation:
I will mark. please!!!
Answer: what ever is -10 1/2
Step-by-step explanation:
Because its the lowest negative there and yea!
Answer:
-4 1/2 because that's the lowest number
A relation is
i don't know this answer somebody please help
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set.
What is an equation in slope-intercept form of the line that passes through (6, -7) and is perpendicular to the line shown below?
Answer:
A
Step-by-step explanation:
it is y=-1/2x-4 for sure.
can someone help me?
Answer:
I hope this helps!
Step-by-step explanation:
1. M is .25
b is 20
so
y= .25x+20
2. y= 3x+2
There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase
of the number of students?
Can anybody tel me what K equals plz I got to go to bed
Answer:
K is equal to 4
Step-by-step explanation:
. hope it helped
Use distributive property to write an expression that is equivalent to 6(10x+7y)
60x + 42y
60x +42y
60x +42y
The distributive property of 6(10x + 7y) is 60x + 42y
What is distributive property ?Distributive property tells us the order of operations to be followed by us while doing mathematical operations. the order of operations laid by distributive property is given below in chronological order:
1. Solve the brackets.
2.Orders(Exponents and square roots)
3. Division
4. Multiplication.
5.Addition
6. Subtraction
Now using Distributive property on 6(10x+7y)
1. Solve the brackets:
We can't do anything with the part inside the bracket as it contains all unknown values.
Hence, it will be as it is.
6 × 10x + 6 × 7y
2. Orders:
Whenever the index of any term is not shown, it is 1.
If any number is not multiplied by itself, it can be raised to 1.
3. Division:
The given polynomial doesn't have division with a non one number.
4. Multiplication:
6 × 10x + 7 × 7y
60x+42y
5. Addition:
Indefinite values can't be added
60x+42y
6. Subtraction:
No sign of subtraction is seen
Hence ,the distributive property of 6(10x + 7y) is 60x + 42y
To learn more about distributive property from here
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So how are 1/2 and 4/8 Similar?
Answer:They both equal 1 half
Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5
Answer:
1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2
Saba and Hena saved up Rs. 81.75 and Rs 45.25 respectively to buy a gift for
Mother’s Day. How much money in all have the sisters set aside for the gift?
TIME REMAINING 24:59 Ten members of Balin's soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below. StartFraction 5 Over 6 EndFraction divided by 10 Which expression is equivalent to Balin's expression?
Answer:
The equivalent expression = 1/12 of a mile
Step-by-step explanation:
Total distance of 10 members of the Balin's soccer club =5/6 of a mile
To find the distance that each member ran, Balin wrote the expression:
5/6 ÷ 10
Which expression is equivalent to Balin's expression?
5/6 ÷ 10
= 5/6 × 1/10
= 5/60
= 1/12 of a mile
Each member of the Balin's soccer club ran 1/12 of a mile
The equivalent expression to 5/6 of a mile divided by 10 members of the Balin's soccer club is 1/12 of a mile
Answer:
brah
Step-by-step explanation:
Find the slope of the linear function that passes through the points (−1, 5) and (8, 11).
Answer:
6 over 9
Step-by-step explanation:
y2-y1 over x2-x1
In a transformation, the final figure is called.
A. Reflection
B. Image
C. Pre-Image
D. Translation
Answer:
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
subtract (5z^6-3v)-(-3z^6)
Answer:
[tex]8z^6-3v[/tex]
Step-by-step explanation:
Given that the following statement is true
"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.
Answer:
C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON
The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?
The cost for 8 tickets to the play is
Answer:
78
Step-by-step explanation:
do 9 x 8= 72
then 72 + 6= 78