Answer:
\(C = 82\)
Step-by-step explanation:
Given
\(R = 5\%\) -- Rate
\(P = 800\) -- Principal
\(N = 2\) -- Time
Required
Determine the compound interest
First, we calculate the Amount (A)
\(A = P(1 + R)^N\)
\(A = 800*(1 + 5\%)^2\)
Express % as decimal
\(A = 800*(1 + 0.05)^2\)
\(A = 800*(1.05)^2\)
\(A = 882\)
The compound interest (C) is then calculated as:
\(C = A -P\) i.e. Amount - Principal
\(C = 882 - 800\)
\(C = 82\)
HELP ASAP PLEASE!!
The picture of the problem is up above.
Find the values of x, y, and z. The diagram is not to scale.
A tugboat goes 72 miles upstream in 9 hours. The return trip downstream takes 4 hours. Find the speed of the tugboat without a current and find the speed of the current.
Step-by-step explanation:
72÷9= 8, so the boat was only doing 8mph going upstream (against the current) the return trip downstream only took 4 hours. 72÷18=4 meaning the boat was traveling at 18mph downstream (no current) there is a 10mph difference between upstream and downstream therefore the current had to be running at 10 mph. so the speed of the tug boat is 8mph without a current and the current is running at 10mph.
12 workers take 4 hours to complete a job. How long would it take 15 workers to complete the job?
Answer:
3.2 hours
Step-by-step explanation:
12 workers * 4 hours = 48 worker hours
15 workers * x hours = 48 worker hours
48 /15 =3.2 hours
Answer:
3 hours and 12 minutes.
Step-by-step explanation:
12 Workers complete a job in 4 hours
1 worker complete a job 12 × 4 = 48
15 workers complete a job = 48/15 = 3³/¹⁵ = 3¹/⁵
= 3 hours + 1/5 × 60 minutes = 3 hours 12 minutes.
The figure below shows a right triangle with a square made from its hypotenuse. What is the area of the square?
Answer:
50cm^2
Step-by-step explanation:
side length is square root 50 so you multiply square root 50 by square root 50 which gives you 50
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
What is the solution to 4(y - 3) +19=8(2y + 3) + 7?
Answer:
\(4(y - 3) + 19 = 8(2y + 3) + 7 \\ 4y - 12 + 19 = 16y + 24 + 7 \\4y + 7 = 16y + 31 \\ 16y - 4y = 7 - 31 \\ 12y = ( - 24) \\ y = \frac{(- 24)}{12} \\ \boxed{y = - 2 }\)
y = -2 is the right answer.The value of y in the equation is - 2
To solve : 4(y - 3) +19=8(2y + 3) + 7?
Open the bracket :4y - 12 + 19 = 16y + 24 + 7
Collect like terms4y - 16y = 24 + 7 + 12 - 19
-12y = 24
Divide both sides by - 12 to isolate y-12y / - 12 = 24 / - 12
y = - 2
Hence, the value of y is - 2
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QUESTIONS:
1. What is the area of the original rectangle if its side is x units?
2. If each side of the small squares is y, what expression represents its area?
3. How will you express the area of the new figure in terms of the variables started in letters a and b?
4. What is the dimension of the new figure formed?
5. If the value of x is 4cm and the value of y is 1, what will be the dimension of the new figure?
Answer:
may its 3+4+5+6+65+67+79+7+=728383848
I don't know
4) Martin compares the prices of paper towels. A 3-roll package is priced at $2.89. A single
rollis priced at $89. Based on price alone, which is the better buy?
Answer:
assuming prices are correctly shown: 3-roll packageassuming a typo: single rolls.Step-by-step explanation:
If single rolls are indeed priced at $89 each, the 3-roll package is a much better buy.
We suspect that the single rolls are priced at $0.89 each, which means you can buy 3 of them for less than $2.70. At this price, single rolls are a better buy.
The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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help help......................................................................................
Hey there! Is there more text to this? I would love to help, but there is no question.
one effective way to protect my bank account is to suspend my account logon if i fail to provide the correct password in 44 trials.False
Phishing is when a hacker impersonating a reliable entity sends you a phony email in the hopes that you will voluntarily divulge your personal information.
What is phishing?Phishing is a type of social engineering in which an attacker sends a false (for example, spoofed, phony, or other deceptive) communication with the goal of tricking a person into providing the attacker with vital information[1] or to install harmful software, such as ransomware, on the victim's infrastructure.
Phishing attacks are becoming more and more sophisticated, and they frequently transparently mirror the site that is being attacked, allowing the attacker to see everything the victim does there and to get past any further security measures with them.
[] According to the FBI's Internet Crime Complaint Center, which tracks more phishing incidents than any other type of computer crime combined, phishing attacks will be by far the most common type of hacker attack through 2020. []
For the first time, the term "phishing" was employed.
Hence, Phishing is when a hacker impersonating a reliable entity sends you a phony email in the hopes that you will voluntarily divulge your personal information.
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Which is better 32 miles or 12.7 kilometers and why
Answer:
32 miles
Step-by-step explanation:
32 miles is equal to 51.499008 Kilometers
12.7 kilometers is equal to 7.891414 miles
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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There are 12million children in the UK. If it took Santa 3 seconds to visit each child when delivering presents, how many hours would
The number of hours it will take Santa to visit the whole children is = 10,000hours
The total number of children in UK is = 12million
That is = 12,000,000.
It took Santa 3 seconds to visit each child. That is,
1 child = 3 seconds
Therefore 12,000,000 children = x seconds
x = 12,000,000 × 3 seconds
x = 36,000,000 seconds.
But 3,600 seconds = 1 hour
36,000,000 seconds = x
x = 36,000,000/3,600
x = 10,000 hours.
Therefore, the number of hours it will take Santa to visit the whole children is = 10,000 hours.
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Find the quotient, if possible. -84 ÷ -7
Answer:
-84 ÷ -7 = 12
thanks
and mark me as a brainliest please!
Answer:
12
Step-by-step explanation:
I worked out the problem on the attached file. Look at it to see your explanation.
Hope this helps!
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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x was a sacrifice
,,,,,,,,,,,,,,,
Answer:
yes next y will be a sacrifice
Step-by-step explanation:
i did it
I really need help I will give you points
A.
x = 60; m∠ROS = 28°
B.
x = 62; m∠ROS = 31°
C.
x = 28; m∠ROS = 60°
D.
x = 31; m∠ROS = 62°
Answer:
D.
x = 31; m∠ROS = 62°
Step-by-step explanation:
we know that a right angle is always 90 degrees, so we subtract 90° by ∠QOR:
\(90 - 28 = 62\)
Then we insert the 62 with the (2x)
\(62 = 2x\)
we divide both sides by 2 and we get:
\(31 = x\)
so the answer is D
x is equal to 31 and we can multiply 31 by 2 and we can get 62°
Some triangles can have more than one right angle true or false
Answer:
False
Step-by-step explanation:
Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.
HELP ASAP FIRST RIGHT GET BRAINLEST
Answer:
A
Step-by-step explanation: hope it helps
Answer:
-5/6
Step-by-step explanation:
\(-\frac{5}{7}\) is then multiplied by the reciprocal
\(-\frac{5}{7}*\frac{7}{6}\) cross cancel the sevens
-\(\frac{5}{6\\}\) is your answer
find the area and circumference of a circle with a radius 5 m. use the value 3.14 for radius, and do not round your answers. Be sure to include the correct units in your answers.
Area and circumference of the circle are 78.5 m² and 31.4 m respectively.
What is a circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that, a circle have a radius 5 m
Area of a circle = π × radius²
Circumference = 2π×radius
Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²
Circumference = 3,14 × 2 × 5 = 31.4 m
Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.
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At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?
Applying the Solution to a 3X3 System
Show up all steps please
Line r has a slope of -6. Line s is parallel to line r. What is the slope of line s?
Thank you.
Answer:
-6
Step-by-step explanation:
Because two lines that are parallel have the same slope
What is the value of y when x is 4/5 ?
According to the direct variation model, the value of the variable y is the mixed number \(3 \frac {1}{5}\). (Correct choice: C)
What is the value of a variable according to a direct variation model?If a variable y varies directly with the variable x, then we can derive the following relationship to find the missing value:
y₁ / x₁ = y₂ / x₂
Where:
x₁, x₂ - Value of the variable x.y₁, y₂ - Value of the variable y.If we know that x₁ = 3 / 5, y₁ = \(2 \frac{2}{5}\) and x₂ = 4 / 5, then the value of y₂ is:
y₁ = 2 + 2 / 5 = 12 / 5
y₂ = (y₁ / x₁) · x₂
y₂ = [(12 / 5) / (3 / 5)] · (4 / 5)
y₂ = (12 / 3) · (4 / 5)
y₂ = 4 · (4 / 5)
y₂ = 16 / 5
y₂ = 15 / 5 + 1 / 5
y₂ = 3 + 1 / 5
y₂ = \(3 \frac{1}{5}\)
The value of the missing variable is the mixed number \(3 \frac{1}{5}\).
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A survey asks customers in a clothing store catering to teenagers the following question: Should the mall prohibit loud and annoying rock music in the food court?
The mall should not prohibit loud and annoying rock music in the food court.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given that surveyed 850 teenagers to find out their favorite type of music she found that 32% of teenagers to Vader like hard rock
The survryed was on 850 teenagers
Therefore, Number of teenage that evade light hard rock = 32% of 850
=32/100 x850
=272
Hence, we can conclude that the mall should not prohibit loud and annoying rock music in the food court.
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Which statement describes a unit cube?
a cube that is 1 inch long, 1 foot wide, and 1 yard high
a cube that is 2 feet long, 2 feet wide, and 2 feet high
a cube that is 1 meter long, 1 meter wide, and 1 meter high
a cube that is 1 foot long, 2 feet wide, and 3 feet high
Answer:
B
Step-by-step explanation:
I think the Answer is a cube that is 2 feet long and 2 feet wide and 2 feet high
The unit cube is with measurement a cube that is 1 meter long, 1 meter wide, and 1 meter high.
What is Unit Cube?A unit cube is a cube whose sides are each one unit long. Volume. A thing's volume is the amount of space it takes up. Unit cube volume: A cube has equal-length sides on all sides.
Given:
We know that the Cube has 12 edges, 6 faces and 8 vertices.
So, we want the unit cube for that first we should have all measurement length, width and height of same units.
Then, the length of each side should be 1.
According to that the unit cube is with measurement a cube that is 1 meter long, 1 meter wide, and 1 meter high.
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2)
A high school basketball team won exactly 65 percent
of the games it played during last season. Which of
the following could be the total number of games the
team played last season?
A) 22
B) 20
C) 18
D) 14
Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.
beth owes 17000 on her car loan. the interest rate on her loan is 4.25% she will be paying this loan off in 4 years how much will beth pay all together?
28,900
19,890
2890
45,900
Answer:She has to pay $20078.7 amount.
Step-by-step explanation:
Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.
To find : How much will she pay altogether?
Solution :
Using compound interest formula,
A = P(1 + r)
Where A is the amount
P is the principle P=17,000
P is the rate r=4.25%=0.0425
t is the time t= 4 years
Substitute the value,
Therefore, She has to pay $20078.7 amount.
Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500
The number is 280
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.
So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.
LCM of 2,5 and 7 is 70
70 x 4 = 280
Sum of digits of 280 is 10, which is also less than 500
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