Answer:
the total amount that should be paid back at the end of 10 years is £10,200
Step-by-step explanation:
The total amount that should be paid back at the end of 10 years is shown below:
= Borrowed amount + simple interest
= £6000 + (£6000 × 0.07 × 10)
= £6000 + £4,200
= £10,200
Hence, the total amount that should be paid back at the end of 10 years is £10,200
simply the expression in the simplest form
Answer:
[tex]\frac{\sqrt[3]{20}}{5}[/tex]
Step-by-step explanation:
Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:
1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.
2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.
3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.
4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties
7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.
11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.
12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.
13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.
14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.
16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property
17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result
In the diagram below, AB and BC are tangent to O. What is the measure of
AC?
Answer: D. 112°
Step-by-step explanation: Just answered it...
The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The line segment AB and BC are the tangents drawn to the circle,
The measure of angle CBA, ∠ CBA = 68°,
The measure of the major arc, AC = 248°,
Calculate the measure of the minor arc as shown below,
∠ CBA = Major arc - minor arc / 2 (Tangent circle theorem)
68 = 248 - AC / 2
68 × 2 = 248 - AC
136 = 248 - AC
AC = 248 - 136
AC = 112°
Thus, the measure of arc AC is 112°
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what equation represents the line show
Answer:
From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.
Can somebody help me on this please
!!!!!!!!!!!!!!!! x= and y=
Answer:
Y=16
X=32
Step-by-step explanation:
ï just know you need to do more meth
A video store is offering 20% off all outdated videos. Let s be the original price of the purchase. Use the expression s-0.2s for the new price of the purchase. Write an equivalent expression by combining like terms.
Answer: The equivalent expression is:
new price = s*0.8
Step-by-step explanation:
When the original price of something is A, and we have X% off, the new price if that object will be:
New price = A - (X%/100%)*A
Like in this case, the original price is s, and the discount is 20%
Then the new price can be written as:
new price = s - (20%/100%)*s = s - 0.2*s = s*(1 - 0.2) = s*0.8
This is the equivalent expression we wanted to get.
Answer:
new price = s*0.8
Step-by-step explanation:
10y + x = -100
can someone help me get Y by it self
Step-by-step explanation:
10y+x=-100
10y= -100 - x
y= -100 - x/ 10
y= -10 - x/10
HELP ASAP BRAINLIEST IF UR RIGHT
If the measure of an exterior angle of a regular polygon is 24°, how many sides does the polygon have?
a. 15
b. 18
c. 14
d. 12
e. none of the above
Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3
Answer:
(-9,5) or x = -9 and y = 5
Step-by-step explanation:
Hope this helps!
please answer this 2 questions fast step by step ❤️
Answer:
4). [tex]-\frac{27}{28}[/tex]
5). Amount payable by the customer = 1416 Rs.
Step-by-step explanation:
4). [tex](\frac{3}{7})\times (-\frac{5}{8})\div (\frac{1}{3}\times \frac{5}{6})[/tex]
= [tex](-\frac{15}{56})\div (\frac{5}{18})[/tex]
= [tex](-\frac{15}{56})\times \frac{18}{5}[/tex]
= [tex]-\frac{54}{56}[/tex]
= [tex]-\frac{27}{28}[/tex]
5). Cost of the item = Rs 1200
G.S.T. applicable on this item = 18%
Amount to be paid for G.S.T.= 1200 × [tex]\frac{18}{100}[/tex]
= Rs 216
Total amount payable by the customer = Cost + G.S.T.
= 1200 + 216
= Rs 1416
Quadrilateral ABCD is a kite with an area of 14 cm?. The length
of ED is 5 cm. What is the length of BE?
B
E
2 cm
С
2 cm
5 cm
(not drawn to scale)
D
A
7 cm
B
2 cm
С
4 cm
D 3 cm
Megan has 15% less money than Lisa. If Lisa has $200, how much money does Megan have?
Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?
Answer: 20 tickets
Step-by-step explanation:
From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:
= 75 - 15
= 60 tickets
The number of tickets sold by Kelly each year on average will be:
= Number of tickets sold / Number of years.
= 60/3.
= 20 tickets
over the last 3 years
Write down the integer values of x that satisfy the inequality -2 < x _<4
Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)
The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -2<x≤4.
The integer values of x that satisfy the inequality are
{-2, -1, 0, 1, 2, 3, 4}
Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.
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Please help I’ll give brainliest if correct
Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2
What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
f(x)= 4x³ – 10 g(x) = 3x - 4 /2To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
Answer:
The correct answer is D. 31.
Step-by-step explanation:
I got it right on the Plato test.
Need help to solve it in standard form ( y= mx+b )
4x+9y= -63
2x-3y= -9
Answer:
Answers below
Step-by-step explanation:
c) Write the equation in factored form. The equation is y= x^2 - 8x - 20 // Need answer ASAP
The first term will be an x because
x squared breaks down as x times x.
First look for factors of your constant that add to your
coefficient of the middle term in the trinomial.
Also note that the constant is negative and a negative
factors as the product of a positive and a negative.
The factors of -20 that add to -8 are -10 and +2.
So we have y = (x - 10)(x + 2).
Wendella the dog is weighed every week with her collar on. This weight in pounds is represented by p. The collar weighs 2 pounds. Which expression represents the weight of Wendella without her collar on?
Answer:
p - 2
Step-by-step explanation:
Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.
Answer:
take the 2 pounds off the dog's regular weight
Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)
BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.
Find each function value f(-4) if f(x) = -5x - 3
Answer: f(-4) = 17
Step-by-step explanation: Substitute (-4) for x.
f(-4) = -5(-4) - 3f(-4) = 20 - 3f(-4) = 17Help please I need help on this problem,appreciate it :)
Rewrite (squareroot n^5 p^8)
as an exponential expression
Answer:
the answer is the option : D
let x=6 and z=2 write the ratio in simplest form
12. 2x=y/3
13.4z-3/x
Answer:
12. 10/3, which simplifies to 3 1/3
13. 5/6
Step-by-step explanation:
15 is 30% of what number
Answer:
15 is 30% of 100 I believe
Answer:
50
Step-by-step explanation:
Hope this answer your question.
PLS HELP ILL MARK AS BRAINIEST :c!!!!!!!
Answer:
it 982y
Step-by-step explanation: the kid just do your work
Answer:
19.5km^2
Step-by-step explanation:
4500 times 6.5%
divide 292.5 by 15
then you get 19.5
On the grid, draw the graph of
y = 2x - 3
for values of x from -2 to 4
Q
Answer:
Plot these points:(-2,-7) (-1,-5) (0,-3) (1,-1) (2,1) (3,3) (4,5)
Step-by-step explanation:
You need to substitute your x values into the x of the equation y=2(3)-3 to find the y value...
The standard equation of a line is expressed as y = mx + b
m is the slope
b is the y-intercept
Given the equation y = 2x - 2
If x = -2
y = 2(-2) - 2
y = -4-2
y = -6
If x = 4
y = 2(4) - 2
y = 8-2
y = 6
This shows that the point (-2, -6) and (4, 6 )must be on the line graph. FInd the graph attached below.
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Ellen planned to interview some applicants for a position in her office. If she scheduled ½ of an hour to meet each of them, how much time did she schedule for all 6 applicants?
Answer: 3 hours
Step-by-step explanation:
From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.
The amount of time that she will schedule for all 6 applicants will be:
= 1/2 hour × 6
= 3 hours
Can someone help me with this equation
1a+ 6b + 4c +7a =
Answer:
8a+6b+4c is the right answer
Answer:
=1a+6b+4c+7a
=1a+7a+6b+4c
=8a+6b+4c
Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5
Answer:
the answer is A.................
Learn with an example
Does the point (2, 9) satisfy the inequality y > 3x + 3?
yes
no
Submit
Answer:
No
Step-by-step explanation:
When you plug in the numbers, you get:
9>6+3
9 is equal to 9, not greater than.