Answer:
864
Step-by-step explanation:
First, you multiply 2 and 6, so it's 12, and multiply it by 144, so it's 1728, and divide it by 2. Therefore, it's 864!
Jane earns an annual salary of £14000 and receives
a pay rise of 1.8%
Lenny earns an annual salary of £11000 and
receives a pay rise of 1.7%
Find which of the employees has the larger pay
increase and by how much.
The employee that has the larger pay increase is Jane. Her income is larger by £65.
Which employees has the larger pay increase?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred.
Increase in Jane's salary = £14,000 x 0.018 = £252Increase in Lenny's salary = £11,000 x 0.017 = £187Difference in increase = $252 - £187 = £65To learn more about percentages, please check: https://brainly.com/question/25764815
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Please help asap 25 points
Answer:
[tex]y = - 2 |x - 2| + 4[/tex]
Step-by-step explanation:
as the function moved to the right 2 steps, and up 4 steps
Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.
A.) The value of n can be found by equating XY and XZ together,
XY = XZ
9n + 12 = 15n - 6
12 + 6 = 15n - 9n
18 = 6n
n = 3
Hence, the value of n is 3.
The length of different legs of the triangle is,
B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39
C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39
Hence, the length of the legs XY and YZ is equal to 39 units.
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Answer:
Step-by-step explanation:
3
39
39
harry invests £6000 in a savings account.
the account pays 3.4% compound interest every year.
after 3 years how much will his investment be
Step-by-step explanation:
here,
principal (p)=£6000
Rate (R)=. 3.4%
time (t)=3 yrs
now,
total investment is compound amount i.e CA
here,
[tex]CA = p(1 + \frac{r}{100} ) ^{t} [/tex]
=£6000(1+3.4/100)^3
=£6633.044
here he will get his total investment as £6633.044 in compound interest of 3.4%
Find the area of the parallelogram.
The area of the parallelogram of height 9 in and base 13 in will be 117in².
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
WE have given a parallelogram of height 9 in and base 13 in.
So,
The area of a parallelogram = Base x Height
A = Base x Height
A = 13 × 9
A = 117in²
Hence, the area of the parallelogram will be 117in².
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What is the relationship between the values m and n plotted on the number
line below?
m
n
H
A. m = n
OB. m> n
OC. m
h
Answer:
C
Step-by-step explanation:
M is less than n because it comes before it in the number line
A person is standing 1 foot below sea level. Which integer would best represent that elevation on a number line? –2 -1 1 0
Answer:
-1 feet
Step-by-step explanation:
below means that your answer will be a negative because sea level is at 0 how many feet below 1 so your answer is -1
annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an extra 40% . annie now has 63 sweets. how many did she have originally
Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
Initially, she had n sweets.With the ones she got from Teddy, the amount became 1.5n.With the amount from Rosie, the amount became 1.4 x 1.5 x n.The final amount was of 63, hence:
1.4 x 1.5 x n = 63
n = 63/(1.4 x 1.5)
n = 30.
Annie had 30 sweets originally.
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Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify your reasoning. fourth root of x cubed one over x to the negative one power tenth root of the quantity x to the fifth times x to the fourth times x squared end quantity x to the one third power times x to the one third power times x to the one third power
The expression with a single rational exponent as follows
What is exponents and powers?Exponents are often known as powers or indices. In simple terms, power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
1) The expression ⁴√x³ can be expressed as;
[tex]x^{\frac{3}{4} }[/tex]
2)The expression ¹/x⁻¹.
This is expressed as a single rational exponent as x
3) The given expression as a single rational exponent.
The expression is; ¹⁰√(x⁵ · x⁴ · x²)
¹⁰√(x¹¹) = [tex]x^{(11/10)}[/tex]
4) [tex]x^{(1/3)} * x^{(1/3)} * x^{(1/3)}[/tex]
x¹ = x
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Answer:
The expression with a single rational exponent as follows
What is exponents and powers?
Exponents are often known as powers or indices. In simple terms, power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
1) The expression ⁴√x³ can be expressed as;
x^{\frac{3}{4} }x
4
3
2)The expression ¹/x⁻¹.
This is expressed as a single rational exponent as x
3) The given expression as a single rational exponent.
The expression is; ¹⁰√(x⁵ · x⁴ · x²)
¹⁰√(x¹¹) = x^{(11/10)}x
(11/10)
4) x^{(1/3)} * x^{(1/3)} * x^{(1/3)}x
(1/3)
∗x
(1/3)
∗x
(1/3)
x¹ =11
There are two numbers which add up to 17. if one number is 13 more than the other, find the two numbers.
Answer:
15, 2
Step-by-step explanation:
Number one: 15
Number two: 2
Well 15 is 13 more than two meaning this is correct.
By eliminating numbers, I was able to find a range of possible numbers which eliminated all the others. Then using that range I found out the number.
The first number is 2 and the second number will be 15.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
There are two numbers that add up to 17.
If one number is 13 more than the other.
Then the two numbers will be
Let the first number be x. Then the second number will be x + 13
x + x + 13 = 17
2x + 13 = 17
2x = 4
x = 2
The first number is 2 and the second number will be 15.
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HELP ASAP 50 POINTS
this week Raj scored five points less than twice the number of points he scored last week. he scored 25 points this week. which equation could be used to find X, the number of points scored last week.
A 2x - 5 = 25
B 2x + 5 = 25
C 2x + 25 = 5
2x = 35 - 5
Answer:
A.
Step-by-step explanation:
It says he scored five points less than twice the number of points he scored last week.
2x-5=25
the 2x represents the number of points last week.
the -5 represents the five points less.
the number 25 is the points this week.
Hope this helps!
If not, I am sorry.
find the values of y
y² =225
4/9 divided by 18/3 in math because i really don't know so can someone help me please
[tex]\left( \dfrac 49 \right) \div \left( \dfrac{18} 3 \right)\\\\\\=\dfrac 49 \div6\\\\\\=\dfrac 49 \times \dfrac 16\\\\\\=\dfrac{2}{9\times 3}\\\\\\=\dfrac{2}{27}[/tex]
answer dis plsss and explain too
Answer:
113.1 inches
Step-by-step explanation:
The area of a circle can be calculated using the formula [tex]\pi r^{2}[/tex], with r being the radius of the circle.
On this circle, the radius is 12 inches, making the area of the entire circle [tex]\pi 12^{2} =\pi 144[/tex], which is about 452.39.
The shaded area of the circle is 1/4 of the circle, so we use the equation [tex]\frac{452.39}{4}[/tex] to get an area of 113.1 inches.
Hope this helps! :)
In which number does the digit 1 have a value that is ten times as great as the value of the digit 1 in the number 215,784?
The number that the digit 1 has a value that is ten times as great as the value of the digit 1 in the number 215,784 is 2.
What is place value?Place value can be defined as the value that's represented by a digit on the basis of the position of the digit.
It should be noted that the value of the digit 1 in 215784 is 10000. On the other hand, the value of 2 is 200000. It's in hundred of thousands. Therefore, it's 10 × (10000).
Therefore the digit is 2.
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Answer:
it is 103,748
Step-by-step explanation:
because it was wrong when I pressed 15,839
find the value of A , B and C from the following figure
Step-by-step explanation:
Question 1 :Here in the given figure b and 30° are alternate to each other so it can be name as alternative angle....
b = 30°
Now...
a + 30° = 180° ( being supplementary angle )
a = 180° - 30°
a = 150°
Now the value of c will be 150° being corresponding
angle with a
c = 150°
Question 2 :z = 60° ( being alternative angle )
Now let's find the value of x.....
here ,
60° + 50° + x = 180° ( the sum of interior angle of triangle is 180°
x = 180° - 110°
x = 70°
Now...
y = 70° ( alternative angle )
[tex]....[/tex]
Solve for x.
(x−2)^2+2=38
x= ___ or x= ___
Step-by-step explanation:
[tex]( {x - 2)}^{2} + 2 = 38 \\ {x }^{2} + 4 - 2 {x}^{2} + 2 = 38 \\ x = 38 - 2 - 4 \\ x = 32[/tex]
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Tony wants to buy a piggy bank. The original price is $6. How much will Tony pay if he buys it
during the sale?
Submit
SALE
Learn with an example
Answer:
3$
Step-by-step explanation:
if the sale is 50% you multiply the 6$ original price by the 50% discount to get 3$
HELP!!!!!!!
The diameter of a Ferris wheel is 50 feet. What is the distance a seat travels in 8
rounds? Round your final answer to the nearest tenth. SHOW WORK
Simplify the expression:
(6x² − x + 5)
minus
(8x² + 8x-7)
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1). Find the coordinates of the image after a dilation with respect
to the origin using a scale factor of 2 and then a translation 2 units left and 1 unit up.
A" (). B" (). c" ()
The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .
How does dilation work?Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).
A' = 2(2.5) = (4,10)
B' = 2(1,2) = (2,4)
C' = 2(3,1) = (6,2)
Translation of 2 units left means change in x
A'' = (4-2,10) = (2,10)
B" = (2-2,4) = (0,4)
C" = (6-2,2) = (4,2)
Translation of 1 units up means change in y
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What is the general form of the equation (-3, 12) and a diameter of 5
Answer:
(x+3)^2 + (y-12)^2 =root 5
Step-by-step explanation:
Assumming you meant equation of the circle with center ()
what are the coordinates of the point on the directed line segment from (-1, -10) to (7,6) that partitions the segment into a ratio of 1 to 3
Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 & large candles sell for $27.98. How many large candles did the store sell?
a. 6
b. 8
c. 10
d. 12
please help... The triangle represents a cross section from a 3D prism. Draw or describe the 3D prism that produced this cross section.
can someone do this for me please?! Just the answer pls
Answer:
1. Center: (-4,3) Radius: 4
2. C
3. C (x^2 + (y+4)^2 = 16)
4. 50 miles
Step-by-step explanation:
1. Look up how to read equations of circles
2.Soh Cah Toa
3. equations of circles again
4. Pythagorean Theorem
An art test has 15 questions. a student answers 80% correctly.
how many questions does the student answer correctly?
enter your answer in the box.
Find the value of xx, yy, and zz in the rhombus below
Answer:
(0,6), (0,4), (0,-10)
Step-by-step explanation:
#x
-3x+6+72=180-3x+78=180-3x=102x=-34.#y
-y+4=72-y=68y=-68#z
-z-10+72=180-z+62=180-z=118z=-118Whoever answers correctly gets 100 points and brainlest
Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Time (month) Amount Saved ($)
3 ?
5 60
? 72
10 ?
For 1st row
3/x=5/603/x=1/12x=36For 3 Rd row
x/72=1/12x=6For last row
10/x=1/12x=10(12)x=120Answer:
The only complete ordered pair in the given table is:
5 months → $60 saved
Therefore, to determine the relationship between the variables, divide the amount saved by the number of months:
[tex]\implies \sf \dfrac{Amount\:saved}{Number\:of\:months}=\dfrac{\$60}{5}=\$12[/tex]
So we can assume that $12 is saved each month.
To complete the table:
Multiply the given number of months by $12 to determine the amount saved.Divide the given amount saved by $12 to determine the number of months.⇒ 3 × $12 = $36
⇒ $72 ÷ $12 = 6
⇒ 10 × $12 = $120
Completed table:
[tex]\large\begin{array}{| c | c |}\cline{1-2} \sf Times\:(month) & \sf Amount\:Saved\: (\$) \\\cline{1-2} 3 & 36 \\\cline{1-2} 5 & 60 \\\cline{1-2} 6 & 72 \\\cline{1-2} 10 & 120 \\\cline{1-2} \end{array}[/tex]
Find the cube root of 4 - 4√3i
that graphs in the second
quadrant.
[?] (cos[]° + i sin[__ _]°)
Use degree measure.
Enter
Answer:
The answer is
[tex]2 \cos(100) + i \sin(100) [/tex]
Step-by-step explanation:
This is a complex number,
[tex]a + bi[/tex]
First, convert this to de movire form.
[tex]r( \cos( \alpha ) + i \sin( \alpha ) [/tex]
where
[tex]r = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
and
[tex] \alpha = \tan {}^{ - 1} ( \frac{b}{a} ) [/tex]
[tex]a = 4[/tex]
[tex]b = - 4 \sqrt{ 3} i[/tex]
[tex]r = \sqrt{ {4}^{2} + ( - 4 \sqrt{3}) {}^{2} } [/tex]
[tex]r = \sqrt{16 + 48} [/tex]
[tex]r = \sqrt{64} = 8[/tex]
and
[tex] \alpha = \tan {}^{ - 1} ( \frac{ - 4 \sqrt{3} }{4} ) [/tex]
[tex] \alpha = \tan {}^{ - 1} ( - \sqrt{3} ) [/tex]
Here, our a is positive and b is negative so our angle in degrees must lie in the fourth quadrant, that angle is 300 degrees.
So
[tex] \alpha = 300[/tex]
So our initially form is
[tex]8( \cos(300) + i \sin(300) )[/tex]
Now, we use the roots of unity formula. To do this, we first take the cube root of the modulus, 8,
[tex] \sqrt[3]{8} = 2[/tex]
Next, since cos and sin have a period of 360 we add 360 to each degree then we divide it by 3.
[tex] \sqrt[3]{8} ( \cos( \frac{300 + 360n}{3} ) + \sin( \frac{300 + 360n}{3} ) [/tex]
[tex]2 \cos(100 + 120n) + i \sin(100 + 120n) [/tex]
Since 100 is in the second quadrant, we let n=0,
[tex]2 \cos(100) + i \sin(100) [/tex]