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
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.
First to answer gets a brainliest! (everything is in the photo)
Answer:
It is ( D )
Step-by-step explanation:
Have a good day
192 miles per 6 gallons
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
X + 8 =-12
ale
Soy unni
w
Answer:
x=-20
Step-by-step explanation:
x+8−8=−12−8
x=−20
Answer:
The answer is -20
Step-by-step explanation:
X+8=-12
You subtract 8 from the left the the right side of the equal sign.
This leaves: X=-20
The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.
12+8 equals 20
But because it's negive you have to add them together.
This is really head to so try yo best
???
soooo..........whats ur question
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
Help pleasseeeeeeeeeeeeeeeeeeer
Answer:
4
Step-by-step explanation:
8/12 simplifies to 4/6. so x needs to be 4 for it to work
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
Does any one want to hear a joke?
Answer:
yes pls my life is boring
Step-by-step explanation:
a machine can make 56 parts in 4 hours. it can also make 70 parts in 5 hours. which rates could you use to write an equation of the form y= kx that represents the number of parts y the machine can make in x hours? A. 70 parts / 4 hours B. 70 parts / 5 hours C. 56 parts / 4 hours D. 56 parts / 5 hours
Answer: 82
Step-by-step explanation:
You add them all
Answer: The answer is C and D
Step-by-step explanation:
How are you feeling about your understanding of slope and the graph of a line?
A.
I've got this down!
B.
I get most of it, but I need some practice.
C.
I kind of get it, but I still have some questions.
D.
I'm totally lost and will need help moving forward with this.
This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.
The dry ingredients in a chocolate cake recipe are 2 cups of flour, 3/2 cups of sugar, and 3/4 cup of cocoa. How many cups of dry ingredients are in the cake mix?
Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.
Step-by-step explanation:
Given: Quantities of dry ingredients for cake:
2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.
Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]
[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]
Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.
Help! Plz!
What reflections map the figure onto itself?
The reflections that map the figure onto itself are Ra and Rb where a = and b =
9514 1404 393
Answer:
a = mb = nStep-by-step explanation:
The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...
Ra . . . where a = m
Rb . . . where b = n
Answer:
hope this pic helps enjoy
5th grade math. Correct answer will be marked brainliest.
Answer: 1,285, 1,282, 1,278
Step-by-step explanation:
Answer:
1,285, 1,282, 1,278
Step-by-step explanation:
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°}
Please help!!! Use equivalent ratios to find the unknown value
Answer:
24/27=8/9
Step-by-step explanation:
What two integers does Square root of 50 fall between?
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 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
Anyone please help ???? Hurry
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.
Measuring the Wind Speed of a HurricaneWhen measuring the wind speed of a hurricane or similar storm, meteorologists don’t want to get hit by flying debris. They use a measure available to them in the comfort of their TV studio. Luckily for the meteorologists, the barometric pressure is linearly related to the wind speed.Suppose scientists compared the wind speeds and barometric pressure readings of two severe storms over the Atlantic Ocean. For one of the storms, the barometric pressure was 1,000 mb (millibars), and the maximum wind speed was 100 kmh (kilometers per hour). The second had a barometric pressure of 960 mb and maximum wind speeds of 180 kmh. (a)Develop a rule that you could use to predict the wind speed given any barometric pressure.(b)Use your rule to predict the wind speed of a hurricane with a barometric pressure of 980 mb. Using what you know about linearity, explain why your prediction is reasonable. (c)Interpret the intercept for wind speed in this context (i.e., as it pertains to the weather).(d)Explain the meaning of slope in this context.
Answer:
So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.
Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.
Slope= (180-100)
---------------- = -2
(960-1000)
Formula: y=-2(x-1000)+100
Part B: y=-2(980-1000)+100=140
140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.
Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.
Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.
hoped this helped :)
The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?
Answer:
0.025 $/in.
The store bought 300 ft of rope.
1 ft = 12 in.
300 ft * 12 in./ft = 3600 in.
The store bought 3600 inches of rope.
The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.
($1.60)/(40 in.) = $0.04/in.
The store sells the rope at a price of $0.04 per inch.
The store sold all the rope at $0.04/in.
3600 in. * $0.04/in. = $144
The store sold all the rope for $144.
The profit was $54 for selling ll the rope.
$144 - $54 = $90
The bought the rope for $90.
The cost is dollars per inch is
($90)/(3600 in.) = 0.025 $/in.
Step-by-step explanation:
The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).
In this case, the slope is given as 0.08.
Interpreting the slope:
A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.
This indicates a linear relationship between the quantity of rope sold and the selling price.
In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
Learn more about Slope here:
https://brainly.com/question/3605446
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An insect is 3 inches (in.) long. What is the length, to the nearest hundredth of a centimeter (cm), of the insect? Note: 1 inch = 2.45 centimeters
1 point
Answer:
find actual dimensions from scale models, ... \begin{align*}\frac{2}{3}\end{align*}, 2:3, and "2 to 3" are ratios. ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. ... Color, Highlighted Text, Notes ...
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
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%
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)