Answers
X= 20 & Y= 70 in right-angled triangle .
What is right angle triangle?
A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The longest of the three sides, known as the hypotenuse, is the third side.2X + 140 = 180
2X = 40°
X = 20°
X + Y = 90°
Y = 70°
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Related Questions
hellp foo You are considering different investment strategies to save for your retirement.
Option 1: You invest $25/ month at a rate of 3.25% APR compounded monthly for 30 years.
Option 2: You invest $75/ quarter at a rate of 4.00% APR compounded monthly for 30 years.
Option 3: You invest $1,000 at a rate of 6.25% APR compounded monthly for 30 years.
1) Which option was the least amount invested and what was the investment plan?
2) Which option yielded the highest amount at the end of the 30 years and what was the basis of the plan?
3) What is the difference in the principal invested for the highest and lowest final balances? What is the difference in the interest earned?
4) Is it better to invest more money in the beginning or the end of the 30 years?
Answers
1) Option 3 had the least amount invested. The investment plan was to invest a certain amount in the beginning and let it grow at an interest of 6.25% APR compounded monthly for 30 years.
2) Option 2 yielded the highest amount at the end of 30 years. The plan was to invest $75/quarterly i.e, $25/monthly at an interest of 4.00% APR compounded monthly for 30 years.
3) Difference in principle is $8000 and the difference is interest is $2976.83
4) It is better to invest more at the end of 30 years.
Define interest.
When you borrow money, you must pay interest, and when you lend money, you must charge interest. The most common way to represent interest is as a percentage of a loan's total amount per year. The loan's interest rate is denoted by this proportion.
Solution Explained:
First, let's calculate the amount after adding the compound interest using
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex], where P is principal, r = interest rate, n = number of times interest is compounded monthly, and t = time
After calculation (For Op 1 and 2, the principal is $9000 and 3 is $1000)
Option 1 has $15275.50
Option 2 has $17467
Option 3 has $6489.17
Interest for Option 1 = $6275.50
Interest for Option 2 = $8466
Interest for Option 3 = $5489.17
After this solving the questions will be easy to understand.
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Answer:
contributions:
1 $25/ month at a rate of 3.25% APR
2 $75/ quarter at a rate of 4.00%
3 $1,000 at a rate of 6.25% APR
total interest rate:
1 $6275.50
2 $8466
3 $5489.17
final balances:
1 $15275.50
2 $17467
3 $6489.17
questions 1-4
1: Option 3 had the least amount invested
2: option 2
3: Difference is $8000 – and interest difference in $2976.83
4: it’s better to invest more at the end of 30 years
Step-by-step explanation:
i did the assignment
A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?
Answers
The magnitude of the boats resultant vector is 314.1 mi
What is a vector?A vector is a physical quantity that has both magnitude and direction.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
How to find the boats resultant vector?Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i
So, the resultant vector R = r + r'
= (285 mi)j + (132 mi)i
= (132 mi)i + (285 mi)j
So, the magnitude of the resultant vector is R = √(r² + r'²)
So, substituting thevalues of the variables into the equation, we have
R = √(r² + r'²)
R = √((285 mi)² + (132 mi)²)
R = √(81225 mi² + 17424 mi²)
R = √(98649 mi²)
R = 314.08 mi
R ≅ 314.1 mi
So, the resultant vector is 314.1 mi
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A self-employed person who completes work on a project-by-project basis is
known as:
A. an independent contractor.
B. a wage-earning employee.
C. an exempt employee.
OD. a salaried employee.
SUBMIT
Answers
Answer:
A: Independent contractor
Step-by-step explanation:
Am I correct? Did I do this right?
Answers
Answer:
Step-by-step explanation:
Yes, you did it right.
What is the sale price including tax to the nearest cent? $595 refrigerator, 20% discount; 9.25% tax
Answers
The sale price including tax for the refrigerator is $520.
How to calculate the price?From the information, the following can be deduced:
Refrigerator = $595
Discount = 20%
Tax = 9.25%
The sales price will be:
= Refrigerator price + Tax - Discount
= $595 + (9.25% × $595) - (20% × 650)
= $595 + $55 - $130
= $520
The price is $520.
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What is the y-intercept of the graph shown?
Responses
b=2b
b=−2b
b=−3b
b=3b
Answers
The y-intercept of the graph as shown is 2.
How to find the y-intercept of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe y-intercept is the point where the graph intersects the y-axis. In other words, it is the value of y when x = 0 .
Therefore, let's trace the value of y when x = 0 on the graph.
Hence, when x = 0, y = 2
Therefore,
b = y-intercept = 2
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Answer:b=2b
b=−2b
b=−3b
b=3b
Step-by-step explanation: because I tought myself i know
Pls help would really mean a lot
Answers
Answer:
Use AAA congurency rule
Step-by-step explanation:
1 angle=52
2 angle=58
3 angle=78
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point)
Group of answer choices
Add 5 to both sides
Multiply both sides by 4
Subtract 13 from both sides
Divide both sides by 7
Answers
Answer:add 5 to both sides
Step-by-step explanation:
Question 13(Multiple Choice Worth 2 points)
(Multi-Step Percent Problems MC)
A gaming system costs $600 and is on sale for 35% off. After the discount, there is a 5% tax. What is the final price of the gaming system?
$409.50
$390.00
$220.50
$210.00
Answers
Given that f(x) = x² 13x + 30 and
g(x)= x-3, find f(x) · g(x) and
express the result as a polynomial in simplest form.
Answers
The simplest polynomial form of f(x)×g(x) is x³ - 16x² + 69x - 90.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).Sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer, makeup polynomials. For instance, the polynomial 3x+2x-5: A description of polynomials.So, f(x) × g(x):
Calculate as follows:
Therefore, the simplest polynomial form of f(x)×g(x) is x³ - 16x² + 69x - 90.
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4x (x + 10) + 55 = 180
Answers
x = 5/2 and x = -25/2 are the solutions to the equation 4x (x + 10) + 55 = 180.
What is the solution to the quadratic equation?Given the equation in the question;
4x (x + 10) + 55 = 180
To solve for x, apply distributive property to eliminate the parenthesis.
4x (x + 10) + 55 = 180
4x(x) + 4x(10) + 55 = 180
4x² + 40x + 55 = 180
4x² + 40x + 55 - 180 = 0
4x² + 40x - 125 = 0
Now, we use the quadratic formula to solve the quadratic equation.
x = (-b±√(b² - 4ac)) / (2a)
From 4x² + 40x - 125 = 0
a = 4b = 40 c = -125Plug these into the formula and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -40 ± √( (40)² - ( 4 × 4 × -125))) / ( 2 × 4 )
x = ( -40 ± √( 1600 - ( -2000) )) / ( 8 )
x = ( -40 ± √( 1600 + 2000 )) / ( 8 )
x = ( -40 ± √( 3600 )) / ( 8 )
x = ( -40 ± 60) / ( 8 )
x = ( -40 - 60) / ( 8 ), ( -40 + 60) / ( 8 )
x = ( -100 )/( 8 ), ( 20 )/( 8 )
x = -25/2, 5/2
Therefore, the solution to the quadratic equation is x = -25/2, 5/2.
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Write a quadratic function h whose only zero is −13.
Answers
The quadratic function whose only zero is -13 is h(x) = x² + 26x + 169
Quadratic functionFrom the question, we are to write a quadratic function whole only zero is -13.
Since -13 is the only zero of the function,
Then,
x = -13 twice
This means that (x + 13) is a factor of the function
Since x = -13 twice,
Then,
The quadratic function h is
h(x) = (x + 13)(x + 13)
Expand the quadratic function by distributing
h(x) = x(x + 13) + 13(x + 13)
h(x) = x² + 13x + 13x + 169
h(x) = x² + 26x + 169
Hence, the function is h(x) = x² + 26x + 169
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What is 10,483,190 in word form?
Answers
Answer:
Ten million, Four hundred eighty-three thousand, one hundred ninety
Step-by-step explanation:
Break it down! into the tens digit, hundreds digit, etc.
There are 12 red balls and 7 green balls in a
non-transparent black bag. What is the
least number of balls we need to take out to be certain we have taken out the
following?
two green or two red balls
Answers
The least number of balls we require to take out to be sure that we have two green or two red balls is 14.
What is the combination of balls?In the bag, there are a total number of balls of;
Total number of balls = 12 + 7 = 19 balls
Inside the bag, we have 12 red balls and 7 green balls.
The balls are selected without replacement, and this means that they are removed from the bag, and replaced back.
In theory, we could pick 12 balls, and all 12 being red, while also 13, with 12 red and 1 green e.t.c
Therefore, at least 14 balls are needed to guarantee that there are at least 2 green or two red balls
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Find the square root that is a real number
Answers
The square root of √-36 is 0.
What is square root?A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root. In mathematics, a square root is a factor that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.So, √-36:
Calculate the square root as follows:
Therefore, the square root of √-36 is 0.
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The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V= 70 cm^3 when T = 420 kelvin and P = 18 kg/cm^2 . Find the pressure when T = 140 kelvin and V = 60 cm^3.
Answers
In a case where the expression is give as volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, then the pressure will be 7kg/cm^2.
How can the pressure be calculated?V = k T/ P
and V= 70 cm^3
T = 420 kelvin
P = 18 kg/cm^2
where K is constant of proportionality,
70 =( k * 420) / 18
k = (70 * 18) / 420
k= 3
Then we were given that the pressure=?
T = 140 kelvin
V = 60 cm^3
then V = k T/ P
P= kT/V
P= (3*140)/60
=7
Then the pressure is 7kg/cm^2
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If the shared side between angles 1 and 2 has a measure of 2x+7 and the shared side between angles 3 and 4 has a measure of 7x+3, what is the value of X?
Round your answer to the nearest hundredth.
Answers
Answer:
x = 0.8Step-by-step explanation:
Both mentioned sides have equal length as opposite sides of a parallelogram.
Set equation and solve for x:
2x + 7 = 7x + 37x - 2x = 7 - 35x = 4x = 4/5x = 0.8
Peter and Parker work for a cleaning crew. Peter can clean a room in 15 minutes less time than it takes Parker to do the same job. Working together,
they can clean two rooms in 110 minutes. Approximately how long does it take Peter to clean a room by himself?
Answers
Peter will take 47.5 minutes to clean the room.
In the question ,
it is given that ,
Peter and Parker are working for a cleaning crew ,
let the time taken by Parker to clean the room is = x minutes .
So ,according to the question ,
time taken by Peter to clean the room is = (x - 15) minutes .
Working together, they clean two rooms in 110 minutes
which is represented , by the equation ,
x + x - 15 = 110
2x = 110 + 15
2x = 125
x = 125/2
x = 62.5
Parker takes 62.5 minutes and Peter takes 47.5 minutes .
Therefore , Peter will take 47.5 minutes to clean the room .
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I need help I’ve been stuck on this problem for like 40 minutes already!!!
Answers
✅ 12 + 0.25 * 12
Multiply 0.25 * 12 then add 12 = 15
✅ 12 (1 + 0.25)
distribute multiply this expression
12 + 3 = 15
✅ 12 * 1.25 = 15
Multiply for this answer
❌ 12 * 0.25
nope, equals 3
❌ 12 + 0.25
Nope, equals 12.25
The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in July, it was 22 ft, or |−22|. What is the difference between depths in January and July?
Answers
Answer: 2 ft.
Step-by-step explanation:
|-20| = 20, |-22| = 22
22 - 20 = 2
A person deposits $8,000 into a savings account at an interest rate of 6.5%. The interest is compounded quarterly. If no other money is deposited into the account, what will the balance be after 12 years? Round to the nearest cent.
Answers
If a person deposits $8,000 into a savings account at 6.5% interest compounded quarterly for 12 years, the balance (future value) will be $17,342.70.
What is the future value?The future value is the compounded present value of an investment for a future period.
The future value can be computed using the FV formula, table, or an online finance calculator as below.
N (# of periods) = 48 quarters (12 years x 4)
I/Y (Interest per year) = 6.5%
PV (Present Value) = $8,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $17,342.70
Total Interest = $9,342.70
Thus, the future value of a present investment of $8,000 at 6.5% interest compounded quarterly for 12 years is $17,342.70.
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IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ greater than 95) = % b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ less than 125) = % c) In a sample of 600 people, how many people would have an IQ less than 110? people d) In a sample of 600 people, how many people would have an IQ greater than 140? people
Answers
Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹
Answers
Answer: The answer is D bc i did the test before hope you have a great day:]
Step-by-step explanation:
8
x
5
−
6
x
4
+
12
x
3
f(x)=x² +6
Find an equation for the tangent line to the graph of f(x) = x² +6 at (5,31).
y=
Answers
Answer:
y = x^2 + 6 given equation
y = m x + b equation of straight line required
dy/dx = 2 x tangent to given curve
dy/dx = slope = 2 * 5 = 10
Thus our line must be of the form
y = 10 x + b
31 = 10 * 5 + b at the point required
b = 31 - 50 = -19
Then our final equation becomes
y = 10 x - 19
Write an equation in standard form of the line that passes through
(–9, 4) and has a slope of –2/3.
(Add explanation please )
Also, Write the standard form of the equation y + 4 = – ⅗ (x – 8).
Answers
Answer:
2x + 3y = - 63x + 5y = 4-------------------------------
Standard form of a lineax + by = cGivenPoint on the line (-9, 4) and a slope m = - 2/3Use point- slope form and convert to standardy - y₁ = m(x - x₁), where (x₁, y₁) is the point on the liney - 4 = - 2/3(x - (-9))y - 4 = - 2/3(x + 9)3(y - 4) = - 2(x + 9)3y - 12 = - 2x - 182x + 3y = 12 - 182x + 3y = - 6Standard of the line y + 4 = - 3/5(x - 8)y + 4 = - 3/5(x - 8)5(y + 4) = - 3(x - 8)5y + 20 = - 3x + 243x + 5y = 24 - 203x + 5y = 4Question 2 (1 point) Find the area of a triangle with two sides measuring 6 meters and 8 meters with an included angle of 137 degrees. D. 15.8 m² OB. 12. 7m² Oc 16.4m² A. 14.3 m²
Answers
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
A tutor has 21 students in their tutor group. Within this group,
15 students have attended at least one tutorial. Calculate the
percentage of students in this tutor group who have attended at least
one tutorial.
Give your answer correct to the nearest whole number.
Answers
The percentage of students in the tutor group that have attended at least one tutorial is 71%
How to find the percentage?The percentage of students who have attended at least a single tutorial in the tutor group can be found by the formula:
= Number of students who attended at least one tutorial / Total number of students in tutor group x 100%
Number of students who attended at least one tutorial = 21 students
Total number of students in tutor group = 15 students
The percentage is therefore:
= 15 / 21 x 100%
= 0.7142857 x 100%
= 71.42%
= 71%
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I’m stuck on this question I’ve tried this question so many times and I just don’t understand so I need help please
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
parallel line segments are indicated by arrows on the segments pointing in the same direction.
from the diagram EA and DC are parallel lines.
(b)
equal lines are indicated by a dash through the lines.
from the diagram AB and BC are equal.
(c)
perpendicular lines are at right angles (90° ) to each other, usually indicated by a small box between them.
from the diagram AE and CD are perpendicular to DE
What number when multiplied by 1 1/4 has a product of 1
Answers
Answer: 4/5 or 0.8
Step-by-step explanation:
[tex]1\frac{1}{4}[/tex] * [tex]\frac{4}{5}[/tex] = [tex]\frac{1}{1}[/tex] = 1
[tex]1\frac{1}{4}[/tex] is also equal to 1.25.
1.25 * 0.8 = 1
Answer:
4/5
Step-by-step explanation:
because 4 is half of a half two fourths are a half and 4/4 are 1 whole
After raining for 3/4 of an hour, a rain gauge 2/5 of the way full if it continued to rain at the same rate for 15 more minutes what fraction of the rain gauge will be filled
Answers
When it rains at the same rate for 15 more minutes, the fraction of the rain gauge that will be filled is 2/15.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.
From the information, after raining for 3/4 of an hour, a rain gauge 2/5 of the way full. It's important to note that 3/4 is (3 × 1/4).
Therefore, we will divide 2/5 by 3 and this will be:
= 2/5 ÷ 3
= 2/5 × 1/3
= 2/15
This is the value of the rain gauge.
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