Answer:
R 694.4
Explanation:
simple interest = [tex]\sf{\dfrac{PRT}{100}[/tex] → [tex]\sf \dfrac{560*8*3}{100}[/tex] → R 134.4
where p refers to principal, r refers to rate, t refers to time.
total money:
invested money + simple interest
R 134.4 + R 560 → R 694.4
Answer:
R 694.40
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
where A is the final amount, P is the initial principal balance, r is the annual interest rate (in decimal format), and t is time (in years)
Given:
P = 560r = 8% = 0.08t = 3⇒ A = 560(1 + 0.08 · 3)
⇒ A = 560(1.24)
⇒ A = 694.40
C + 15 = 23c + 2 − 43c What is the value of c that makes the equation true?
The value of c that makes the equation true is: c = -13/21.
What is an Equation?An equation is a mathematical statement whose values on the right and left sides are equal.
Given:
c + 15 = 23c + 2 − 43c
Find the value of c
c + 15 = -20c + 2
c + 20c = -15 + 2
21c = -13
c = -13/21
Thus, the value of c that makes the equation true is: c = -13/21.
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The value of c which makes the equation c + 15 = 23c + 2 − 43c true is –13/21
Data obtained from the question c + 15 = 23c + 2 − 43c Value of c =? How to determine the value of cc + 15 = 23c + 2 − 43c
The value of c in the expression above can be obtained as illustrated below:
c + 15 = 23c + 2 − 43c
Collect like terms
c – 23c + 43c = 2 − 15
21c = –13
Divide both side by 21
c = –13/21
Thus, from the calculation made above, we can conclude that the value of c which makes the equation true is –13/21
Learn more about algebra:
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anyone willing to explain question 1 to me?? it’s about vectors but i just do not understand how vectors work at all.
Answer:
Step-by-step explanation:
So for question 1, we can see that we have a 30 60 90 triangle with a hypotenuse of 9.
So therefore, y=9/2 and x=4.5sqrt3.
please help :)
Use completing the square to determine which of the following gives the solutions to 3x2 − 24x + 40 = 28.
A. 2 ± 43–√
B. 4 ± 23–√
C. 3 ± 32–√
D. 6 ± 25–√
Answer:
B. I think it should be 4±[tex]2\sqrt{3}[/tex]. Correct me if I am wrong.
Step-by-step explanation:
Hope this helps!
The solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.
What is completing square method?Steps
Step 1: Divide all terms by a (the coefficient of x2).
Step 2: Move the number term (c/a) to the right side of the equation.
Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
The given quadratic equation is 3x²-24x+40=28.
3x²-24x+40-28=0
3x²-24x+12=0
x²-8x+4=0
x²-8x=-4
Now, -8/2 =4 and square of 4 is 16.
Add and 16 on both sides of an equation, we get
x²-8x+16=-4+16
(x-4)²=12
x-4=±√12
x=±√12+4
x=+√12+4 or x=-√12+4
Therefore, the solutions of the given quadratic equation are x=+√12+4 or x=-√12+4.
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Which equation is equivalent to
log3(2x4 + 8x3) – 3log3x = 2log3x?
Answer:
the answer is log3 (2x+8)=log3 x²
Step-by-step explanation:
log3(2x^4+8x^3)-3log3x=2log3x
simplifying the above we get:
log3(2x^4+8x^3)=2log3x+3log3x
log3(2x^4+8x^3)=5log2x
Hence the answer should be:
log3 (x³)*(log3(2x+8))=5log3 x
3log3 x+log3(2x+8)=5log3 x
log3(2x+8)=5log3 x-3log3 x
log3 (2x+8)=2log3 x
log3 (2x+8)=log3 x²
Which is the better deal 20$for 5-shirts or $24 for 8 shirts
Answer:
Step-by-step explanation:
Find the unit rate for both the deals.
$20 for 5 shirts
Cost of one shirt = 20 ÷ 5 = $ 4
$24 for 8 shirts
Cost of 1 shirt = 24 ÷ 8 = 3
⇒ 8 shirts for $ 24 is the better deal
What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00? 6. 75π in. 2 20. 25π in. 2 27π in. 2 81π in. 2.
The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.
Then the radius (r) is 9 inches and the angle is 120°.
We know that the area of the sector is given by
[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]
The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.
More about the circle link is given below.
https://brainly.com/question/11833983
How do I turn a convert a number into a percentage?
Answer:
you move the decimal 2 spaces
Step-by-step explanation:
So, the decimal is at the end of a number right? You move the end decimal two spaces to the right.
Example: make 2 into a percentage
2.00
----->two spaces
So, 2 = 200%
HOPE THIS HELPS
Answer:
Really simple!
All you have to do is take the decimal form of the number and multiply it by 100 and then add the percent sign
Step-by-step explanation:
Example 1: 10
Decimal form: 0.10
Convert it into a percent: 0.10 * 100 =10%
Example 2: 67.5
Decimal Point: 0.675
Convert it into a percent: 0.675 * 100 =67.5%
consider the function given by f(x)=x^2+3. find its average rate of change from x=-1 to x=3
Answer:
2
Step-by-step explanation:
f(-1) = (-1)² + 3 = 1 + 3 = 4
f(3) = 3² + 3 = 9 + 3 = 12
average rate of change= [ f(3) - f(-1) ] ÷ [ 3-(-1) ] =
(12-4)÷(4) = 8÷4 = 2
the average rate of change is the slope of the drawn green line .
What is the area of the figure
6. For every 9 customers, the chef prepares 2 loaves of bread.
a. Here is double number line showing varying numbers of customers and the
loaves prepared. Complete the missing information.
b. The same information is shown on a table. Complete the missing information.
customers loaves
9 2
4
27
14
1
c. Use either representation to answer
these questions.
How many loaves are needed for 63
customers?
How many customers are there if the
chef prepares 20 loaves?
How much of a loaf is prepared for
each customer?
Please help
Step-by-step explanation:
Make sure to see the photo I tried to explain every part there
solve the following inequality
Answer: 8 > u > 6. I hope it helps!
13 added to e algebraic expression
Answer: More information.
Step-by-step explanation:
Please provide an actual problem, thanks!
What is the rate of decay in the following function?
f(x)=3(67)^x
Answer:
Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.
<1 and <2 are supplementary. m<1=4x and m<2 =92 what is the value of x
Answer:
x=22
Step-by-step explanation:
Supplementary means that the two angles that are supplementary equal 180 degrees. 180-m<2=m<1
180-92=88 (m<2=92)
m<1=88
m<1=4x
4x=88
x=22
How many solutions does this equation have-6u=9-5u
Answer:
Just one solution, u = -9
Step-by-step explanation:
-6u=9-5u
-u = 9
u = -9
Answer:
Just one solution, u = -9
Step-by-step explanation:
-6u=9-5u
-u = 9
u = -9
(show ur work) 708.85 ÷ 1.5 =
Answer:
482.56667
Step-by-step explanation:
Have a great day hope it helps:)
HELLPPPPPPP MEEEEE BRO!!!!!!!!!!! whats
Evaluate the expression for u = 0.
–51u =
I NEED THE ANSWER NOW!
If the equation is -51u and u = 0,
then -51 (0) = 0
Hope that helps!
Joelle is working on a school report in a word processor. She wants to place an oversized image which is 30. 51 \text{ cm}30. 51 cm30, point, 51, start text, space, c, m, end text wide so that it appears centered on the page. The width of the page is 21. 59 \text{ cm}21. 59 cm21, point, 59, start text, space, c, m, end text. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?.
The horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm
How to find the center of the image?We have been told that in the question that the horizontal positions to the right of the leftmost edge of the page are positive.
Given
Joelle is working on a school report on a word processor.
She wants to place an oversized image that is 30.51 cm wide so that it appears centered on the page.
The width of the page is 21.59 cm.
Width of the oversized image = 30.51cm
The first step is to subtract the width of the word processor page from the width of the oversized image.
30.51cm - 21.59cm
8.92cm is the space left
Since we have two sides, horizontal positions to the leftmost side and horizontal positions to the right of the leftmost edge of the page.
The next step is we divide 8.92 by 2
= 8.92cm ÷ 2
= 4.46cm
Automatically, the horizontal position for the left edge of the image which Joelle should use to center the image would the negative.
Therefore, horizontal position for the left edge of the image which Joelle should use to center the image = -4.46cm
To know more about the center of the image click the link given below.
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i dont know what this problem is simplified
huh huh huh huh huh huh huh huh huh
Cuanto es el número 0.996 redondeado por el tercer dígito ?
Answer:
1.000
Step-by-step explanation:
I nee help. Can anyone help please.
Miguel has 7 days to read a 96. Page book. He wants to find out how many pages he needs to read each day to finish the book in time. He
does the problem 96 - 7 and gets 13 15.
What does the remainder in the answer tell Miguel?
OA. He should read 5 pages every day.
OB. He should read 13 pages every day.
OC. If he reads 5 pages each day, he will be 13 pages short of his goal.
D. If he reads 13 pages each day, he will be 5 pages short of his goal.
Answer: D. If he reads 13 pages each day, he will be 5 pages short of his goal.
Step-by-step explanation:
96/7
≈13.7
if he reads only 13 he wont reach his goal of 96
What is the value of x
Answer:
24 degrees
Step-by-step explanation:
total degrees in a triangle is equal to 180 degrees.
180 - 132 = 48
since there are two unknown angles, we have 48 by 2 which is 24.
48/2=24 degrees
Answer:
[tex]\huge\boxed{\sf{x=24}}[/tex]
Step-by-step explanation:
Hello.
The sum of all three angles in a triangle = 180 degrees
Now, what is the value of x?
The 2 sides of the triangle are equal, thus, the angles are equal.
Write the equation
x+x+132=180
Combine like terms
2x+132=180
Subtract 132 from both sides
2x+132-132=180-132
2x=180-132
2x=48
Divide both sides by 2
x=24
I hope it helps.
Have a great day.
[tex]\boxed{imperturbability}[/tex]
just by looking at the graph, does the graph represent a proportional relationship?
Explain why you are choosing yes or no.
Answer: Yes, because with each round table, the amount of chair goes up by 5.
Tell whether the ordered pair (1,1) is a solution of the system of inequalities.
y>0
y< 2.5x - 1
Solution
Not a solution
Since 0 < y < 1.5, hence the coordinate (1,1) is a solution
A solution to the system of inequalityGiven the following inequality expression
y>0
y< 2.5x - 1
Wee are to check if (1, 1) is a solution to the systen of equation
If x = 1
y < 2.5(1) - 1
Y < 2.5 - 1
y < 1.5
Since 0 < y < 1.5, hence the coordinate (1,1) is a solution
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please someone help me with this problem
Answer:
x = 56
Step-by-step explanation:
The sum of a triangle add up to 180, so add all of the angles in the triangle and equate to 180
x + x + 7 + x + 5 = 180
collect like terms to simplify
3x + 12 = 180
subtract 12 on both sides
3x = 180 - 12
3x = 168
divide 3 on both sides
x = 168 ÷ 3
x = 56
Tonya has 39 packages.Each package weighs 6 pounds.
a.2,400lb
b.240lb
c.200lb
d20lb
Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.2,400 pounds 240 pounds 200 pounds 20 pounds.
Graph the function y=-0.5 √x-3 + 2
Answer:
Plug it into desmos, and you're good to go.
The file below has the screenshot of the equation graphed.
Can you please solve 10(−8x+7)−9x
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
let's simply the expression ~
[tex]\qquad \sf \dashrightarrow \: 10( - 8x + 7) - 9x[/tex]
[tex]\qquad \sf \dashrightarrow \: (- 80x + 70 )- 9x[/tex]
[tex]\qquad \sf \dashrightarrow \: - 80x - 9x + 70[/tex]
[tex]\qquad \sf \dashrightarrow \: - 89x + 70[/tex]
Hope it helps ~
How to factor polynomials with 5 terms without grouping.
Answer:
Step-by-step explanation:
You can use synthetic division method.
P(x) =x² + x - 2
(x + 2) is a factor.
Image attached.
