8.5Step-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
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°}
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
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)
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
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:
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?
a company ships new basketballs in boxes that fix up to 14 basketballs. How many boxes are needed for an order of 202 basketballs?
Answer:
about 14 or 15 boxes
Step-by-step explanation:
Answer: at least 15 boxes to fit them all
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
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:
If the shirts $42 and it's on sale for $15 how much is a shirt now
Answer:
I think its 27
Step-by-step explanation:
If the vurrent cost is 15 then it took 27 dollars off the original amount
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.
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?
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.
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.
subtract (5z^6-3v)-(-3z^6)
Answer:
[tex]8z^6-3v[/tex]
Step-by-step explanation:
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
David's mom is looking through the ads at Safeway and Lucky for her grocery shopping. At Safeway, apples cost $8 for 5 pounds, and at Lucky's apples cost $7 for 4 pounds.
Answer:
Step-by-step explanation:
8/5= 1.60
Safeway´s apples cost $1.60 per pound
7/4=1.75
Lucky´s apples cost $1.75 per pound
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
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:
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
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
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)
I need help to solve the equation
Answer:
D) X=-6
Step-by-step explanation:
Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2
Order the numbers from least to greatest.
Answer:
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
The order of the set of sign numbers from least to greatest is,
- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.
What are signed numbers?A number that is followed by the plus sign (+) to denote a positive value or the minus sign (-) to denote a negative value.
A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.
Given, A set of signed numbers - 1/10, - 0.8, 0.8, - 2, 7, 1/2, and - 3.
let us convert them into decimals, - 0.1, - 0.8, 0.8, - 2, 7, 0.5, and - 3.
The order from least to greatest is,
- 3, - 2, - 0.8, - 0.1, 0.5, 0.8, and 7.
learn more about the number system here :
https://brainly.com/question/29136622
#SPJ2
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:
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.