Answer:
let x be his salary after tax
house rent=1/8x
transport, food,=3/5x
total expenses, =1/8x + 3/5x
=29/40x
remainder amount =(x - 29/40x) = (1 - 29/40)x
leisure and incidentals,=5/8(1 - 29/40)x
amount saved = $37135
hence, the equation for his salary after tax is;
x = (29/40x) + 5/8(1 - 29/40)x + 37135
x = (29/40x) + (5/8x) - (29/64x) + 37135
x = (287/320x) + 37135
x - 287/320x = 37135
33/320x = 37135
x = 360096.97
to the nearest whole number, his salary after tax is $360097
Step-by-step explanation:
first represent his salary after tax by a variable
add the two expenses to get the total amount spent
substract the total amount spent from the variable to get the remainder
now fine 5/8 0f the remainder to get the amount spent on leisure and incidentals.
note that there was am amount that he saved.
base on this, we can now express an equation in terms of "
x" to calculate for his salary after tax
John has $55. He buy 6 books. Each book cost the same amount . He now has 10
Answer:Answer: $7.50
Step-by-step explanation:
$55-$10=$45 45/6=7.5
Step-by-step explanation:
what's the answer! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
Answer: $179.70
Step-by-step explanation:
The simple interest will be:
= (Principal × Rate × Time) / 100
= ($6000 × 5.99% × 5) / 10
= ($6000 × 0.0599 × 5) / 10
= $1797 / 10
= $179.70
Therefore, the total interest on the loan is $179.70
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5). Please graph afterwards!! First correct answer gets brainlyyy
Answer:
a=3; (3,5) and (4,0) for the graph
Step-by-step explanation:
ax-y=4
x=3, y=5 so...
a(3)-5=4
3a-5=4
+5 +5
3a=9
/3 . /3
a=3
For the graph, use (3,5) and substitute x and y for anything:
ax-y=4
if x=0...
a(0)-y=4
-y=4
y=4
a=3; (3,5) and (4,0) for the graph!
The cost of insurance can vary wildly between insurance companies. True or False
Answer:
The answer will be True
Step-by-step explanation:
Because I said so
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?
Х
32°
X =
degrees.
PLEASE HELP
please, someone, help very hard
Answer:
A. G'(5) = 20
B. G'(5) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[Given] F(5) = 4, F'(5) = 4, H(5) = 2, H'(5) = 3
[Given] A. G(z) = F(z) · H(z)
[Given] B. G(w) = F(w) / H(w)
[Find] G'(5)
Step 2: Differentiate
A. G(z) = F(z) · H(z)
[Derivative] Product Rule: G'(z) = F'(z)H(z) + F(z)H'(z)B. G(w) = F(w) / H(w)
[Derivative] Quotient Rule: G'(w) = [F'(w)H(w) - F(w)H'(w)] / H²(w)Step 3: Evaluate
A. G'(5)
Substitute in x [Function]: G'(5) = F'(5)H(5) + F(5)H'(5)Substitute in function values: G'(5) = 4(2) + 4(3)Multiply: G'(5) = 8 + 12Add: G'(5) = 20B. G'(5)
Substitute in x [Function]: G'(5) = [F'(5)H(5) - F(5)H'(5)] / H²(5)Substitute in function values: G'(5) = [4(2) - 4(3)] / 2²Exponents: G'(5) = [4(2) - 4(3)] / 4[Brackets] Multiply: G'(5) = [8 - 12] / 4[Brackets] Subtract: G'(5) = -4 / 4Divide: G'(5) = -1Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
What value of b completes the function f(x)=-x^2+bx+1?
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
HELP 50 POINTS!!!!
a. Is 8.3 a solution of 73.8 < 9x? =
b. is 6.5 a solution of 12x < 78?
c.Is 7 a solution of 9x > 45?
d. is 17 a solution of 19 - x >2?
=
e. is 6 a solution of x + 12 > 18?
Step-by-step explanation:
step 1. the answer is no - to all of them
step 2. 12x < 78
step 3. x < 6 5
step 4. the answer is x is less than 6.5 but not equal to
step 5. if you had 12x <= 78 then 6.5 would be a solution because it would also be equal to.
7 minus the product of 5 and a number n
Answer:
= 7 - 5n
Step-by-step explanation:
Product of 5 and n
= 5 × n
= 5n
Subtracted from 7
= 7 - 5n which is the answer.
I really do not know because it does not make sense
joyce is thinking of a 3 digit number. her number has the digits 8, 4, and 6. to the nearest hundred, it rounds to 600. what is the number?
Answer:
648
Step-by-step explanation:
It will round down (since 4 and down round down) to 600. Therefore, the answer is 648.
Hope that helps!
-Sabrina
Answer:
648
Step-by-step explanation:
solve for the value of z
Answer:
z = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Supplementary Angles: Angles that add up to 180°Step-by-step explanation:
Step 1: Identify
Diagram shows supplementary angles.
(9z + 7)° + 74° = 180°
Step 2: Solve for z
Add: 9z + 81 = 180[Subtraction Property of Equality] Subtract 81 on both sides: 9z = 99[Division Property of Equality] Divide 9 on both sides: z = 11If triangles DEF and NPQ are similar, what is the length of side q?
• Enter the answer as a fraction.
Answer:
q= 45/14 (or) 3 3/14
Step-by-step explanation:
7/9=5/2/q
cross multiply
7q=45/2
q=45/2÷7
q= 45/14 (or) 3 3/14
Which set of words describes the end behavior of the function f(x)=−5x(x−4)(x+5)(2x+3)?
Answer:
Falls to the left and rises to the right
Step-by-step explanation:
because
degree =5
leading coefficient =4 and positive it will rise to the right
those are tips to use to determine it :
1. Even and Positive: Rises to the left and rises to the right.
2. Even and Negative: Falls to the left and falls to the right.
3. Odd and Positive: Falls to the left and rises to the right.
4. Odd and Negative: Rises to the left and falls to the right
enlarge this shape by scale factor 3 on the grid below
Which of the following explains which inequality symbol belongs in the box? 7 3 8 × 4 5 □ 7 3 4 A. When 7 3 8 is multiplied by a number greater than 1, the product is less than 7 3 8 . The product is also less than 7 3 4 because 7 3 8 < 7 3 4 . B. When 7 3 8 is multiplied by a number greater than 1, the product is greater than 7 3 4 . The product is also greater than 7 3 4 because 7 3 8 > 7 3 4 . C. When 7 3 8 is multiplied by a number less than 1, the product is less than 7 3 8 . The product is also less than 7 3 4 because 7 3 8 < 7 3 4 . D. When 7 3 4 is multiplied by a number less than 1, the product is greater than 7 3 8 . The product is also greater than 7 3 4 because 7 3 8 > 7 3 4 .
Answer:
b
Step-by-step explanation:
Answer:
B thank you for doing that hard work
putting all that info in
Step-by-step explanation:
Which of the following trigonometric ratios are correct?
Answer:
Step-by-step explanation:
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Find the measure of angle C
show work and explain!
As it is a parallelogram opposite sides are same
[tex]\\ \sf\longmapsto <B=<D[/tex]
[tex]\\ \sf\longmapsto <A=<C[/tex]
<A=45[tex]\\ \sf\longmapsto <C=<A=45°[/tex]
What are the zeros of f(x) = x(x-7)?
A. x = 0 and x = -7 O
B. x = 0 only ооо O
c. x = 0 and x = 7
D. X = 7 only
Answer:
c. 0 and 7
Step-by-step explanation:
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
Question 4
Which pattern of points in a scatterplot describes r=-1.0?
A) All points lie on a horizontal line
B) All points lie on a line that increases from left to right?
C) All points lie on a line that decreases from left to right?
D) A cloud of random points.
Whoever answer is correct gets brainleiest .
Answer:
9/24 for the first and 8/24
Kiran scored 223 more points in a computer game than Tyler. If Kiran scored 409
points, how many points did Tyler score?
Answer:
186
Step-by-step explanation:
Tyler: 223 less than Kiran
Kiran: 409
409 - 223 = 186
10. Complete the statement by using the Inverse Property
of Addition
-19 +?=0
50 points!!!! Assuming all parabolas are of the form y = ax^2+ bx + c, drag and drop the graphs
to match the appropriate a-value.
Answer:
Step-by-step explanation:
a > 0 for an up-opening parabola, so a = 0.25 for the third graph.
The greater the magnitude of a, the skinnier the parabola.
|-1| < |-4|, so a = -4 for the first graph.
Can somebody please help me with this
Find the value of x.
Answer:
write 9x+80=7x+120
next transpose the x values to one side and the number to other side
i.e 9x-7x=120-80
= 2x= 140
x=140/2
and you will get the answer 70
so x=70
Step-by-step explanation:
Please mrk me as brainliest if you
PART A: A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map? Show your work. It may help you to "draw" out the two maps and label the trails.
PART B: D. Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper: https://apps.mathlearningcenter.org/pattern-shapes/
Complete Question:
Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.
(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.
(b) Determine the scale factor from the first map to the second map.
(c) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?
(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:
Answer:
(a) Length = 4cm
(b) Scale factor = 0.5
(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
Step-by-step explanation:
(a) Choose a length between 5 cm and 15 cm
[tex]Length =4cm[/tex] --- This is solely up to you (you can make use of any length between 5 cm and 15 cm)
(b) The scale factor
The scale factor (k) is calculated as:
[tex]k = \frac{New\ Length}{Old\ Length}[/tex]
[tex]k = \frac{4cm}{8cm}\\[/tex]
[tex]k = 0.5[/tex]
(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark
Using:
[tex]k = \frac{New\ Length}{Old\ Length}[/tex]
The old lengths, in this case are: 3cm, 4cm and 5cm
Make New length the subject
[tex]New\ Length = k * Old\ Length[/tex]
When [tex]Length = 3cm[/tex]
[tex]New\ Length = 0.5 * 3cm = 1.5cm[/tex]
When [tex]Length = 4cm[/tex]
[tex]New\ Length = 0.5 * 4cm = 2cm[/tex]
When [tex]Length = 5cm[/tex]
[tex]New\ Length = 0.5 * 5cm = 2.5cm[/tex]
So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale
(d) See attachment for triangle
There are two squares.ONe has a side length of 12 inches and the other has a side length of 14 inches.What is he total area of both squares?
Answer:
340 in^2
Step-by-step explanation:
1. First square
A = l*w = 12^2 OR 12*12 = 144
2. Second square
A = l*w = 14^2 OR 14*14 = 196
3. Combined Area
144+196=340
The area of a square is found by squaring the side length, which is the same as multiplying two of the sides together.
Square 1: 12 x 12 = 144 square inches.
Square 2: 14 x 14 = 196 square inches.
Total area = 144 + 196 = 340 square inches.