a man invested $6000 at 8% per annum simple interest for 5 years.
a).calculate the simple interest.
b).the total amount of money collected at the end of the 5 year period.
Answer:
*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)
a) A = 6000[1 + (0.08 × 5)] = 8400
b) A = $8,400.00
Answer:
a) $2400
b) $8400
Step-by-step explanation:
The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.
__
a)The simple interest is given by the formula ...
I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years
For this investment, the interest is ...
I = $6000·0.08·5 = $2400
The simple interest amounts to $2400.
__
b)The amount collected at the end of 5 years is the principal plus interest:
P +I = $6000 +2400 = $8400
The total collected is $8400.
Given the parent function p(x)=cos(x) what phrase best describes the transformation used to obtain g(x)= cos(x+a)-b, if a and b are positive constants
Complete the slope-intercept form of the linear equation that represents the relationship in the table
Answer:
y
[tex]y = - 2 x + 5[/tex]
Step-by-step explanation:
Hope this will help :)
Please help me this is my last question this one is worth big points for me
Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50
Step-by-step explanation:
Hope this helps
:3 have an amazing day or a beautiful day:)
What is the value of f(3) in the function below?
f(x) = 2x
O A. 16
OB. 8
OC. 4
O D. 6
So we replace "x" with the necessary value (3):
[tex]f(3) \: = \: 2 \: \times \: 3[/tex]
[tex]f(3) \: = \: \boxed{ \bold{6}}[/tex]
Answer:[tex]\text{Opción A. } \boxed{ \bold{55}}[/tex]
MissSpanishdependent or independent
The probability of coin landing with heads is an independent event.
The probability of winning 1st and 2nd prize is a dependent event.
What are independent and dependent events?
Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.
Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.
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need help asap please!
Answer:
determinant: -15x = 3; y = 4; z = 1Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
coefficient matrix, determinantThe first attachment shows the coefficient matrix and its determinant.
__
solutionThe solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
[tex]\textbf{A$\cdot$X}=\textbf{B}\\\\\textbf{X}=\textbf{A}^{-1}\cdot\textbf{B}[/tex]
This multiplication is shown in the second attachment. It tells us ...
[tex]\textbf{X}=\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}3\\4\\1\end{array}\right][/tex]
which equation has an infinite amount of solutions
What is the sum of the polynomials? (–x2 9) (–3x2 – 11x 4)
please help me im just really slow
Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year, how long will it take for the value of the computer to be $0?
After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.
The above problem can be solved using concept of arithmetic sequence
The starting value = $1750
After one year = 1750 - 250 = $1500
After second year = 1500 - 250 = $1250
Common difference = 1500 - 1750 = -250
a(n) = 1750 + (n - 1)(-250)
a(n) = 0 (final value is zero given)
0 = 1750 + (n - 1)(-250)
n - 1 = 7
n = 8 years
Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.
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tis the season slope formula
The slope is the change in vertical axis of a graph to its horizontal axisor the rise to run of a line.
The slope formulaThe slope is the change in vertical axis of a graph to its horizontal axis. This can also be the rise to run of a line.
The formula for calculating the slope of a line is given asL
Slope = rise/run
It can also be expressed as:
Slope = change in y-axis/change in x-axis
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Help!! I don’t understand how to answer this
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
Select the correct answer. what is the approximate solution to this equation? a. b. c. d.
The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
Solving equationsFrom the question, we are to determine the approximate solution to the given equation,
The given equation is
[tex]4lnx -8 =12[/tex]
First, add 8 to both sides
[tex]4lnx -8+8 =12+8[/tex]
[tex]4lnx =20[/tex]
Now, divide both sides by 4
[tex]ln x =\frac{20}{4}[/tex]
[tex]ln x = 5[/tex]
Take the exponents of both sides
[tex]e^{lnx} = e^{5}[/tex]
x = 148.413
x ≅ 148.4
Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
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In a data set, the proportion of items that are in a particular category is called the.
In a data set, the proportion of items that are in a particular category is called the Relative Frequency
What is Relative Frequency ?Frequency mean how often an event can occur , an relative frequency means how many times that event will occur with respect to the total number of events.
For determining Relative frequency , we need to know the frequency for a particular event and the total number of event.
The proportion of items that are in a particular category is called the Relative Frequency.
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how to determine area of the following,in some cases leave the answer in term of x ABJH
Answer:
x²
Step-by-step explanation:
The area of rectangle ABJH is the product of its dimensions.
__
The dimensions are given as ...
AB = x
AH = x
The area of ABJH is ...
area = length × width = (x) × (x) = x²
The area of ABJH is x².
bivariate data is the type of data that a scatterplot is used to analyze?
True
or
False
Use the bar graph to find the experimental probability of the event.The experimental probability of spinning a 7 is
The experimental probability of spinning a 7 is 0%
How to determine the probability?From the complete question, we have:
n(7) = 0
The above means that the number 7 is not on the spinner.
So, it is impossible to spin a 7
Hence, the experimental probability of spinning a 7 is 0%
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A rectangular piece of material with sides 150 cm and 100 cm is used to make a circular table cloth. the diameter of the completed cloth must be 0.9 m and 5 cm is provided for the hem. how much material is wasted?
The material wasted is 7915.375 sq cm.
What is area of rectangle?The product of its length and breadth.
Area = length* breadth
Given:
length= 150 ac, breadth = 100 cm
d= 0.9m 5cm
r= 47.5 cm
Area of rectangle,
= l * b
= 150*100
= 15000 sq. cm
Area of Circular cloth,
= πr²
=3.14*47.5*47.5
=7084.625 sq cm.
Hence, the wasted material is = 15000-7084.625
= 7915.375 sq cm
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reuben wants to earn at least $57 trimming trees. he charges $6 per hour and pays $9 in equipment fees. what are the possible numbers of hours reuben could trim
Answer:
8 hrs.
Step-by-step explanation:
He has to spend $9, so 57+9=66. The closest multiple of 9 over 66 is 9x8=72. So, Reuben has to spend 8 hrs.
Petra is making a batch of extra large donuts by stamping circles in dough using
a pastry stamp with a diameter of 5 inches. For the donut hole, she stamps out
a circle using a pastry stamp that has a diameter of 2 inches.
How many square inches of dough are left in the donut after the hole has been
removed?
Step 1 Find the radius of each circle
Step 2 - Find the area of the large circle
Step 3 - Find the area of the small circle
Step 4 - Area of large circle minus area of small circle
Area = Tr
The answer of the following questions is discussed below
What is area of circle?Area of a circle is the region covered or enclosed within its boundary. It is measured in square units.
The radius of each circle
r1= 2.5 inches.
r2= 1 inches
Area of circle large circle,
= πr1²
=3.14*2.5*2.5
=19.625 inch²
Area of small circle,
= πr2²
= 3.14*1*1
=3.14 inch²
Area of large circle minus area of small circle,
= 16.485 inch²
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Starting at the point (0,0) how many ways are there to get to the point (7,4) if you have to pass through the point (2,2) and each step can only be in a positive direction. (i.e. to the right or up)?
The number of ways there are to get to the point (7,4) if you have to pass through the point (2,2) is; 1266 ways
How to find the lattice Paths?The formula to get the number of ways to get to the lattice point (x, y) (supposing x, y ≥ 0) by taking steps of one unit each either in the eastward or northward direction is exactly;
(x + y)
= (x + y)!/(x!y!)
( x )
Thus, number of ways from (0, 0) to (2, 2) = (2 + 2)!/(2!2!) = 6 ways
Number of ways to get to point (7,4) from (2, 2) is;
((7 - 2) + (4 - 2))!/(2!2!) = 7!/(2!2!) = 1260
Thus, total number of ways = 1266 ways
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pls help ;-; me with this question
chap: linear equations in one variable
grade: 8
Answer:
Step-by-step explanation:
Answer:
1.5 or 3/2
Step-by-step explanation:
[tex]\frac{2x+1}{2x-1} =2\\(\frac{2x+1}{2x-1} )(2x-1)=2(2x-1)\\2x+1 = 4x-2\\2x+1-4x=4x-2-4x\\-2x+1=-2\\-2x+1-1=-2-1\\-2x=-3\\x=\frac{-3}{-2} \\=1.5 or \frac{3}{2}[/tex]
Which of the following is the range in the given set of numbers 10, 30, 15, 17, and 18
Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.
What is the range of a data-set?
The range of a data-set is given by the difference of the greatest value by the smallest.
In the data-set 10, 30, 15, 17, and 18, we have that:
The greatest value is 30.The smallest value is 10.Hence the range is given by:
R = 30 - 10 = 20.
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Point A in this figure is to be rotated 90° in a clockwise direction. The center of the rotation is the origin. A (0,5) C (6,3) B (2,-2) Where does point A end up?
Answer:
B
Step-by-step explanation:
To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.
In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree
The angular measure L is : 47°
What are angles?Angles are formed when two lines meet.
Analysis:
Firstly, we calculate for m using cosine rule.
[tex]m^{2}[/tex] = [tex]510^{2}[/tex] + [tex]820^{2}[/tex] -2(510)(820) cos 20
[tex]m^{2}[/tex] = 260100 + 672400 -83600(0.9396)
[tex]m^{2}[/tex] = 146618.56
m = [tex]\sqrt{146618.56}[/tex] = 382.9cm
using sine rule to find ∠L
382.9/sin20 = 820/sinL
sinL = 820sin20/382.9
sinL = 820(0.342)/382.9
sinL = 0.732
L = sin inverse of 0.732 = 47°
In conclusion, ∠L is 47°
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
0.81
Step-by-step explanation:
how this helps!
btw: you spelled truly wrong
If f(x) = 3x² -1 and g(x) = x+2, find (f + g)(x).
Answer:
(f+g)(x) = 3x^2+x+1
Step-by-step explanation:
It may look hard at first, but all the question is asking you to do is add both of the equations together.
(f+g)(x) = (3x^2-1) + (x+2)
(f+g)(x) = 3x^2+x+1
What is the algebraic equation of the sum of 28?
Answer:
There can be alot of equations for this since you didn't say anything specific. But since u didnt say anything specific, this can be one of the equations: 20 + 8, 30 - 2, 4 x 7
1. You need a parking for your food truck, so you purchased 26 “parking hours” that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour. You spent a total of $220. How many weekday hours did you purchase?
2.If the weekday hours tripled but your budget of $220 for 26 parking hours remain the same. How many weekend hours can you purchase now that the weekday hours have increased?
The weekday hours you purchased is 5 hours.
The number of weekend hours I can purchase if the weekday hours tripled is 11 hours.
What are the linear equations that represent the question?2a + 10b = 220 equation 1
a + b = 26 equation 2
Where:
a = number of hours for weekday parking b = number of hours for weekend parkingHow many weekday hours did you purchase?
Multiply equation 2 by 10
10a + 10b = 260 equation 3
Subtract equation 3 from equation 2
8a = 40
a = 5 hours
What is the weekend hours I can purchase?
(5 x 3) + b = 26
15 + b = 26
b = 26 - 15
b = 11 hours
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