The total amount collected over the life of the bond is $7,500.
What is the total amount collected?A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.
Total earnings = interest + amount invested
(20 x 0.025 x 5000) = $2500
Amount invested = $5000
= 2500 + 5000 = $7,500
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Please show work and thank you
Answer:
x = 6
Step-by-step explanation:
A 45-45-90 isosceles right triangle has side lengths in the ratios ...
1 : 1 : √2
__
That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.
x = (√2)×3√2 = 3×2
x = 6
help will mark Brainliest
Can anyone please solve this for me right now?
The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
A=a×b
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,
A=a×b
884=(26+2x)×(18+2x)
884=468+52x+36x+4x²
4x²+88x-416=0
Divide both side with 4,
x²+22x-104=0
x²+26x-4x-104=0
x(x+26)-4(x+26)=0
(x+26)(x-4)=0
x=-26,4
Take the positive value 4. The width of the path is equal to x which is 4 meters.
Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.
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If cos43=p, determine.without the use of a calculator,the value of each of the following in terms of p
We need to calculate the value of cos(43) to determine the value of p
How to evaluate the expression?The equation is given as:
cos43 = p
Rewrite properly as:
cos(43) = p
Rewrite the equation as:
p = cos(43)
The above means that we simply calculate the value of cos(43) to determine the value of p
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y=-x-3
y=4x-5
2x-y=-2
x+y=4
3x+4y=-12
Y'ALL I NEED SOME SERIOUS HELP, ANYBODY KNOW THE ANSWERS?
Answer: Heyaa! :)
1. y=-x-3 = -1Slope: −1
y-intercept: (0,−3)
2. y=4x-5 = 4Slope: 4
y-intercept: (0,−5)
3. 2x-y=-2 = 2Slope: 2
y-intercept: (0,2)
4. x+y=4 = 1Slope: −1
y-intercept: (0,4)
5. 3x+4y=-12 = - 3/4Slope: −3/4
y-intercept:
(0,−3)
Hopefully this helps you!
- Matthew
A race course is 26.2 miles long. Of the entire race course, 5% is uphill. How many miles of the race course are uphill?
Answer:
1.31 miles of the race course are uphill
Step-by-step explanation:
Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.
Hope this helped :)
Explain the meaning of the scale 1 :2.5
Based on the picture below what would the genotypes of the parent plants be? Use the other questions to help you answer this.
Thank you so much.
Answer:
ant sorry you no entendía
How do you simplify this problem?
Answer:
x/y.
Step-by-step explanation:
Deal with each number or letter at a time:
3 / 3 = 1
x^3/x^2 = x
y^4 / y^5 = y^-1 = 1/y
z / z = 1
So the answer is 1*x * 1/y * 1
= x/y.
Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.
Answer:
It would be a 3/10 or 30% chance.
Answer:
Step-by-step explanation:
3/10 or .30 or30%
please help me do my mathematics assignment experts
Step-by-step explanation:
try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.
Determine all missing angles below.
Answer:
a = 60, b = 19, c = 101, d = 79, e = 50
Step-by-step explanation:
Relations that are helpful here are ...
vertical angles are congruentan exterior angle is equal to the sum of the opposite interior anglesthe sum of angles forming a straight angle is 180°the sum of angles in a triangle is 180°__
Using these relations, we can find the unknown measures.
a° = 60° . . . . . these are vertical angles
51° +b° +110° = 180° ⇒ b° = 180° -161° = 19° . . . . straight angle
a° +b° +c° = 180°
c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle
d° = 180° -101° = 79° . . . . . straight angle
e° = c° -51° = 50° . . . . . c° is exterior to the triangle
hail 0.5 inch deep and weighing 1800 pounds covers a roof. the hails weight varies directly with its depth. write an equation that relates d and w. then predict the weight on the room of hail that is 1.75 inches deep
In a directly proportional relationship, increasing one variable will increase another. The weight of the roof whose depth is 1.75 inches is 6,300 pounds.
What is the directly proportional relationship?In a directly proportional relationship, increasing one variable will increase another. This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.
Let there are two variables p and q. Then, p and q are said to be directly proportional to each other if p = kq, where k is some constant number called the constant of proportionality.
Given the hail's weight varies directly with its depth. Therefore, the relation can be written as,
Weight ∝ Depth
W∝D
Introducing the constant to remove the proportionality we will get the equation as,
W = kD
1800pounds = k × 0.5 inches
3600ponds/inches = k
Now, the weight of the roof whose depth is 1.75 inches can be written as,
W = kD
W = 3600 × 1.75
W = 6,300 pounds
Hence, the weight of the roof whose depth is 1.75 inches is 6,300 pounds.
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Find the volume of a bird seed box with the following dimensions:
h = 26 cm
W = 10 cm
I = 17.5 cm
Could you help me with this for 50? points.
A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.
Answer:
5.27×10^5 gallons
Step-by-step explanation:
Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.
__
4.6×10^5 +6.7×10^4
= 4.6×10^5 + 0.67×10^5
= 5.27×10^5
The park will use 5.27×10^5 gallons of water after the new ride is installed.
__
This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.
Solve for in each of the following statements. ( is the smallest positive integer to make each statement true.)
5+43≡ 9
18 − 12÷3≡ 5
3+5≡0 11
There is no variable unfortunately
We have to change question little bit
#1
5+43=9x9x=48x=48/9#2
Rest are also meaningless as there is no variable
#3
(3+5)x=0.118x=0.11x=0.11/8Hello, help me please with explanation)
Answer:
hope this will help you sorry if the answer is wrong
Identify the steps for proving ADDC.
A. 1. BD BD by the reflexive property
2. AABD=ACBD by SAS
3. ADDC by CPCTC
B. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by SAS
3. ADDC by CPCTC
C. 1. BD BD by the reflexive property
2. AABD = ACBD by CPCTC
3. ADDC by SAS
D. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by CPCTC
3. ADDC by SAS
Reid, the second-place finisher, developed a cramp with 3 tenths of the race remaining. How many miles did Reid run without a cramp?
Answer:
He ran .7 miles without a cramp
Step-by-step explanation:
The diameter of a circle is 2 miles. What is the circle's area?
d=2 mi
square miles
Use 3.14 for л.
Answer:
A= 3.14
Step-by-step explanation:
The formula for finding the area of a circle is A=π r²
The radius = half of the diameter so that makes the radius 1 in this case.
When you plug in the values for the equation you get A= 3.14*1²
Answer:
3.14
Step-by-step explanation:
The Formula for area of a circle is л times r^2. R(radius) is half of D(diameter )in which this case is 1. So 1^2 = 1 times л which is 3.14. 3.14 times 1 = 3.14 as answer.
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'
(x,y) → (x+5,y)
(x,y) → (5x,5y)
(x,y) → (.5x,.5y)
(x,y) → (x,-y)
(x,y) → (-x,-y)
For reference you can look at the attachment
I have taken three points (1,1),(2,1),(3,3)Then converted them accordingly
#1(Graph 2)
Yes#2(Blue dots on graph 1)
NoThey are similar but not equal
#3(Purple dots)
NoSimilar but not equal
#4(Green dots)
Yes#5(Black dots)
YesWhat is the length of the two equal sides?
What is the length of the third side?
Answer:
Two equal sides: 15 centimeters, Third side: 21 centimeters
Step-by-step explanation:
Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)
Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z. The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases. The demand for Model Z is estimated as D(p) = 180 + 10q - 4p, where p is the price of Model Z. Consider the following two statements: 1. If the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X 2. If the average gasoline price q increases by $1, the demand at the revenue- maximizing price (i.e., D(p*)) increases by a factor of Y What is X/Y?
The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
What is a mathematical model?A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.
The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.
The demand for Model Z is estimated as
[tex]D(p) = 180 + 10q - 4p[/tex]
Here, p is the price of Model Z.
Consider the following two statements:
1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.[tex]D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)[/tex]
2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.[tex]D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\[/tex]
Put the value of demand at the revenue-maximizing price as,
[tex]Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}[/tex]
Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
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Avery had $25.75 in her wallet. If she bought lunch with 87 dollars from her wallet, how much money did she have in her wallet
after lunch?
A. $16.00
B. $17.45
C. $17.00
D. $17.75
Answer is D even tho u typo it i still got it so u do 25.75 from 8.00 yw.
A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day; however, he made only two cuts. How did he do this?
A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day.
The gold is divided into 2 parts.
First at the 1-inch mark, then the second mark will be
For the second mark, there are two conditions.
Condition 1 = mark can be made at 4 inches, then the next piece will be of 2 inches.
There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.
Condition 2 = Mark can be made at 5 inches, then the next piece will be of 1 inch.
There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.
The division is shown below.
The king will take 1 inch back from the knight and give him 2 inches.
According to the condition = A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.
So on the first day, 1 inch will be given. On the second day, he will give 2 inches and take 1 inch. On the third day, he will give 3 inches and take back 2 inches. On the fourth day, he will give 1 inch. On the fifth day, he will give 2 inches and take back 1 inch. On the sixth day, he will give 1 inch.
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1. Kyle put $300 of his birthday money in the bank. The bank offers an annual interest rate of 4%, compounded twice a
year. How much money will Kyle have after three years?
Answer:
300(1 + 0.04/2)3(2) = $337.85
Step-by-step explanation:
3X minus 2Y is equal to or greater than or equal to four
Answer:
3x- 2y
Step-by-step explanation:
its defintly not = to four because you cant subtract two diffrent varibles so it should be less then
The cylinder shown has a volume of 30 cubic units. The
cone and the cylinder have the same height and the same
base. What is the volume of the cone?
S.
Cylinder. V = Th
Cone: V = : 1 / ²
Please help no links or you will get reported
The volume of the cone will be 10 cubic units.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.
Given that:-
The cylinder shown has a volume of 30 cubic units.The cone and the cylinder have the same height and the same base.The volume of the cone will be:-
Vc = Vcyl
[tex]\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h[/tex]
Vc = (1 / 3) Vcyl
Vc = ( 1 / 3 ) x 30
Vc = 10 cubic units
Therefore the volume of the cone will be 10 cubic units.
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What are the solutions to the following system?
-2x² + y = -5
y=-3x² +5
O (0, 2)
O (1,-2)
o o (12,-1) and (-√2-1)
(
o (V5,-10) and (-15.-10)
The solutions to the equation -2x² + y = -5 and y=-3x² +5 are (√2,-1) and (-√2-1) option third is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have given expressions:
-2x² + y = -5 ..(1)
y=-3x² +5 ...(2)
From the equation (2) take the value of y and plug it in the equation (1)
-2x²-3x²+5 = -5
-5x² = -10
x = ±√2
Plug this value in the equation (2), we get value of y:
y = -1
Thus, the solutions to the equation -2x² + y = -5 and y=-3x² +5 are (√2,-1) and (-√2-1) option third is correct.
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