Mr Brown spends 65% of his monthly income and saves the rest. After being promoted, his salary increases by 40% and his expenses increase by 20%. Find the percentage change in his savings.
Answer:
There is a percentage increase of 77.1% in savings
Step-by-step explanation:
The answer can be determined by assigning a value to the income of Mr Brown.
Let Mr. Brown's initial income = 100
Percentage spent = 65%
Amount spent = 100 x 0.65 = 65
Percentage he saves = 100 - 65% = 35%
Amount he saves = 100 x 0.35 = 35
Salary after increase = 1.40 x 100 = 140
Increase in expenses = 1.2 x 65 = 78
Amount saved after increase in income = 140 - 78 = 62
Percentage increase = (new amount saved / previous amount saved) - 1
Percentage increase = (62 / 35) - 1 = 0.771 = 77.1%
Find the size of one interior angle of a regular 10-sided polygon.
Answer:
144
Step-by-step explanation:
Exterior angle = [tex]\frac{360}{number \ of \ sides}[/tex]
[tex]=\frac{360}{10}[/tex]
= 36
Interior angle and exterior angles are supplementary.
interior angle + exterior angle = 180
Interior angle + 36 = 180
Interior angle = 180 - 36
= 144
can someone help with this, and explain it as well
Answer:
WRS and VRT are vertical angles
Step-by-step explanation:
Vertical angles are formed by the same lines and share a vertex
WRS and VRT are vertical angles
Rosa worked 28 hours this week and was paid $7 per hour. What were her tot earnings for the week?
Answer:
$196.
Step-by-step explanation:
Multiply the hours (h) by amount per hour (a) (h*a), 28*7 and you will get her total earnings, $196.
Answer:
$196
Step-by-step explanation:
28 hours and $7 per hour so you do 28x7 which equals 196.
Help Now Please!!!
Find The Volume Of This Cylinder
Answer:
502.4 m³.
Step-by-step explanation:
Formula: πr²h
4² = 16 x 10 = 160
160 x 3.14 (about π) ≈ 502.4 m³.
Hope this helps.
If there is something wrong, please let me know.
Answer:
160[tex]\pi[/tex] or
500[tex]m^{3}[/tex]
Step-by-step explanation:
[tex]\pi[/tex] x [tex]4^{2}[/tex] x 10 = 160[tex]\pi[/tex] or 500[tex]m^{3}[/tex]
A ball is thrown off the roof of the school. Its path can be described by the equation: h(t) = -2t^2 + 8t + 10, where h is height in meters after t seconds.
a) How tall is the building?
Answer:
10 meters
Step-by-step explanation:
The given function [tex]h(t)=-2t^2+8t+10[/tex] represents the height, [tex]h[/tex], in meters, [tex]t[/tex] seconds after the ball is thrown.
Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute [tex]t=0[/tex] into the given function [tex]h(t)=-2t^2+8t+10[/tex]:
[tex]h(0)=-2(0^2)+8(0)+10,\\h(0)=0+0+10,\\h(0)=\boxed{10\text{ meters}}[/tex]
Therefore, the building is 10 meters tall.
The variables x and y vary inversely, and y=-11 when x = 16. Write an equation that relates x and y. Then
find y when x = -9.
Answer:
y=-176/x
y=176/9
Step-by-step explanation:
[tex]y = \frac{k}{x} \\ - 11 = \frac{k}{16} \\ k = - 176 \\ y = \frac{ - 176}{x} \\ y = \frac{ -176}{ -9} = 19 \frac{5}{9} [/tex]
Find x.
a. 40.3
b. 37.2
c. 17.3
d. 19.1
Answer:
x = 17.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 25 = x /41
41 sin 25 = x
17.32734=x
Rounding to the tenths place
x = 17.3
We have to find,
The required value of x.
Now we can,
Use the trigonometric functions.
→ Sin(θ) = opp/hyp
Let's find the required value of x,
→ Sin (θ) = opp/hyp
→ Sin (25) = x/41
→ x = 41 × Sin (25)
→ x = 41 × 0.42262
→ x = 17.32734
→ [x = 17.3]
Hence, option (c) is the solution.
PLEASE HELP
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.
Question: (-11/2x+3)-2(-11/4x-5/2)=??
Answer:
The answer is 8.
Step-by-step explanation:
Hope it will help you
Answer:
-22x + 88
Step-by-step explanation:
Simplify it into (-11/2x+3) + (11/4x-5)
Multiply by LCM (2x+3)(4x-5)
You will get -11(4x-5) + 11(2x+3)
Simplify it to -44x+55 + 22x + 33
Simplify it to -22x + 88
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
"The range of the function is all real numbers less than or equal to 9."
Step-by-step explanation:
For this question the domain is (-∞,∞)
The range is all numbers less than 9 (the y-coordinate of the vertex)
The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)
Therefore the answer is "The range of the function is all real numbers less than or equal to 9."
Given the equation -2x+3y=12, find the missing value in the ordered pair 3,
Noo linkss plz
Answer:
(3,6)
Step-by-step explanation:
-2x+3y=12
Let x = 3
-2(3) +3y = 12
-6+3y = 12
Add 6 to each side
-6+6 +3y = 12+6
3y = 18
Divide each side by 3
3y/3 = 18/3
y = 6
Can someone please help me with this??
Answer:
Use photo math
Step-by-step explanation:
its easier
What is the system of inequalities associated with the following graph
Answer:
y<3
x+y≥1
This is the system of inequalities which will give you the result shown in the graph
Answered by GAUTHMATH
Hey can someone help me
Please help me out!!!!!
Answer:
From the figure, we´ll use the ratio of sin74
sin74=x/16
x=16/sin74
x=16.64
OAmalOHopeO
2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:
a) f(5)
b) g(-3)
c) g(x - 2)
d) f(g(x))
Answer:
a).
f(5) = 18
b).
g(-3) = 10
c).
g(x-2) = x²- 3
d).
f(g(x)) = 4x²- 1
similarity transformations geometry :) answer 3 blanks
1. 2
2. The Y axis
3. 3 rights and 1 down (3, -1)
SOMEONE HELP ME PLEASE
Answer:
52.8988%
Step-by-step explanation:
Add the bach degrees together and divide it by the total number of degrees
The number of music CDs sold in 1993 by one company was approximately 2.3×10^6.The number of music CDs sold by the same company in 2001 was approximately 7.9×10^7. What is the difference in CDs sold between 1993 and 2001?
Answer:
84%
Step-by-step explanation:
I'm not sure how I got that answer but I'm just smart like that. I'm sorry I couldn't give a better explanation. I'm in a bit of a rush but I hope this answer is helpful to you. Percentage was the only way I could think of. Sorry again.
The difference between CDs sold between 1993 and 2001 will be 76.7 × 10⁵.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In another meaning subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Given that sell of CDs in 1993 is 2.3 × 10⁶.
Sell of CDs in 2001 is 7.9 × 10⁷.
The difference between sell is = 7.9 × 10⁷ - 2.3 × 10⁶
⇒ 76.7 × 10⁵ hence it will the correct option.
For more about subtraction,
https://brainly.com/question/1927340
#SPJ2
Problem 5
The sum of the first ten terms of an arithmetic progression consisting of
positive integer terms is equal to the sum of the 20th, 21st and 22nd term.
If the first term is less than 20, find how many terms are required to give
a sum of 960.
Answer:
is this in the euler student problem question?
Step-by-step explanation
what is the solution to the system of equation below y=2/5x-3 and X=_10
Answer:
read explanation
Step-by-step explanation:
since y=2/5x-3 we substitute x=10 in making it y=2/5*10-3
following PAMDAS we do multiplication first so 2/5*10=4.
so y=4-3 and then we subtract and get y=1. Hope this helps:> if you need more explanation message me. If not give this a heart for helping. Good luck.
Plssss help thank youuu
Write an equation in slope intercept form for the line with slope -2 and y intercept-5
Answer:
Y=-2x-5
Step-by-step explanation:
Y=Mx + b where m is the slope and b is the y intercept
y=-2x-5
brainliest is appreciated
f(x)= x^2-6x+5 Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function.
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
Miguel is building a skate ramp. He needs to cut a board that is Two-thirds of a yard long into 3 equal pieces
Given:
Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces.
To find:
The expressions that can you use to find the length of each piece.
Solution:
It is given that Miguel needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. It means [tex]\dfrac{2}{3}[/tex] is divided in 3 equal parts.
[tex]\dfrac{2}{3}\div 3[/tex]
It can be written as:
[tex]\dfrac{2}{3}\div 3=\dfrac{2}{3}\times \dfrac{1}{3}[/tex]
[tex]\dfrac{2}{3}\div 3=\dfrac{2}{9}[/tex]
Therefore, the required expression is [tex]\dfrac{2}{3}\div 3[/tex] and the length of each piece is [tex]\dfrac{2}{9}[/tex] yards.
Answer:
a and c
Step-by-step explanation:
What is Index Law 3?
please give explanation
Answer:
hi hi hi hi hi
Step-by-step explanation:
plz follow me
The third and last law tells us that when we have to multiply a power in a bracket, by another power outside the bracket, we have to multiply the two powers together to get the answer.
Please hurry I will mark you brainliest
What is the slope of this?
Answer:
Step-by-step explanation:
you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :
(y2-y1)/(x2-x1)
the pairs given :
(1,6) and (3,2)
(2-6)/(3-1) = -4/2 = -2
-2 is the slope. the line is going downwards so there is a negative slope
Describe how you would determine the x-intercepts from the factored form of a quadratic equation
Answer:
Please check explanations
Step-by-step explanation:
Given the factored form, all we have to do is to equate each of the factor to zero, then solve for x
The particular value of x represents the solution that shows the value of the x-intercept
for example
In a case of a quadratic equation where we have
(x-a)(x-b) = 0
Then we can have
(x-a) = 0 or ((x-b) = 0
Then we have x = a or x = b
a and b are the x intercepts in this case
which choice is equivalent to the expression below? square root of 50 - square root of 2
Answer:
square root of 50
Step-by-step explanation:
please help me with this problem !