Answer:
Yes, the point (4,10) satisfies the inequality.
Step-by-step explanation:
In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:
y ≥ 2x + 2
10 ≥ 2(4) + 2
Then solve:
10 ≥ 8 + 2
10 ≥ 10
Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).
10a) Beatrice has an income of
$40 000 in one year.
She pays no tax on the first
$10 000 of her income;
10% tax on the next $10 000 of her income;
25% tax on the rest of her income.
Calculate:
a) the total amount of tax Beatrice pays,
b)the total amount of tax as a percentage of the $40 000.
10b) Beatrice pays a yearly rent of $10 800.
After she has paid her tax, rent and bills, she has $12 000.
Calculate how much Beatrice spends on bills.
Answer:
a) $6000 tax
b) 15%
c) $11,200 for bills
Step-by-step explanation:
a)Beatrice pays 10% on the second $10,000 of her income, which is ...
0.10×$10,000 = $1000
and she pays 25% on the amount over $20,000, which tax is ...
0.25×($40,000 -20,000) = $5000
The total amount of tax Beatrice pays on her $40,000 income is ...
$1000 +5000 = $6000 . . . . tax on $40,000
__
b)The tax as a percentage of $40,000 is ...
$6,000/$40,000 × 100% = 15% . . . . percentage of income paid in tax
__
c)The amount left after tax, rent, and bills is ...
$40,000 -tax -rent -bills = $12,000
bills = $28,000 -tax -rent
bills = $28,000 -6,000 -10,800 = $11,200
Beatrice spends $11,200 on bills.
Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?
Answer:
there is no graph though
What is the value of s?
Answer:
17
Step-by-step explanation:
It's a right triangle so you use the Pythagorean Theorem
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle
so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]
64+225=[tex]c{2}[/tex]
289=[tex]c^{2}[/tex] take the square root of both sides to get rid of the squared
[tex]\sqrt{289}[/tex]=c
c=17
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5
Answer:
3 8-4× less than 6 ×-5 and then you solve the equation
2.67 is best classified as a ______________ number.
Fill the blank
Y
Answer:
rational
Hope this helps!
lmk if it does
Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB
Answer:
In attachment I have answered this problem.↑↑
Hope this helps.
If you have any doubt, then you can ask me in the comments.
In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.
Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.
- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?
- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?
- How far is Little Cubs Field from the radius of delivery?
The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) milesReasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
Learn more here:
https://brainly.com/question/23005973
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
Answer:
£30000
Step-by-step explanation:
I used a couculator
What is the perimeter of PQR? Show your work.
Please help me please help meeee please
Answer:
The answer is D
Step-by-step explanation:
What is 2 2/3×3 1/4 as a fraction form
I need this answer!!
[tex] \rm \frac{2}{36} = \frac{3}{x} [/tex]
[tex] \rm\frac{1}{18} = \frac{3}{x} [/tex]
[tex] \rm x = 3 \times 18[/tex]
[tex] \rm x = \bold{54(d.)}[/tex]
A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)
please, show your work!
Thank you!
Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
-----------------
h(t) =-4.9t^2+35t+30
----
When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
----
t = [-35 +- sqrt(637)]/(-9.8)
---
To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
========================
Answer:
The ball hits the ground when h(t) (the height) is equal to 0.
0=-4.9t^2+30t
0=t(-4.9t+30)
t=0 and t=6.1224…
So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.
:)
what is 12 times the exponent of 7 squared
Answer:
13841287201
Step-by-step explanation
7×7×7×7×7×7×7×7×7×7×7×7=13841287201
Answer:
7
×
7
×
7
×
7
×
7
=
7
5
Step-by-step explanation:
Four times a number, increased by 10, is -2
what is the number?
Answer:
-3
Step-by-step explanation:
-3 × 4 = -12
-12 + 10 = -2
the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20
Answer:
y = (1/8)x
Step-by-step explanation:
The relevant basic formula is y = kx, where k is the constant of proportionality.
We must find k. To do this, let y = 15/6 and x = 20 in the above formula:
15/6 = k(20)
We solve for k by dividing both sides by 20: 15/(6*20) = k = 1/8
Then the specific formula for this situation is y = (1/8)x
Find y. Simplify completely.
y
16
25
y = [?]VO
=
Enter the number that belongs in the green box,
Enter
Answer:
19?
Step-by-step explanation:
What is f(-1)?
PLEASE HELP ASAP
Answer:
3
Step-by-step explanation:
y=3, you can see it when you start from ×=-1 and then follow the line in the graph
Answer:
f(-1) = 3
Step-by-step explanation:
You can see the function f(x) on the graph. To find f(-1), you need to find the value of the function at x = -1.
Starting from the center at (0, 0), just go 1 to the left and then up to the line. You can see the point at x = -1 on the line is y = 3, so f(-1) is equal to 3.
Evaluate the expression for a = -13.
Answer: -4
Step-by-step explanation: (9)+(-13) 9+−13 9−13 −4
For a triangle. Find m<1 when the other angles are 52.2 and 44.7
Answer: 83.1
Step-by-step explanation:
52.2 + 44.7 = 96. 9
180 - 96.9 = 83.1
If f is an always positive, differentiable function and y = ln(f(sin x)), what is y’ when x=4 ?
Answer:
cos(4) f'(sin 4)/f(sin 4) is y' at x=4
Step-by-step explanation:
We can't actually find the numerical value for this without more information.
We are given:
y=ln(f(sin x))
This is equivalent to
e^y=f(sin x)
Differentiate both sides:
y' e^y=cos(x) f'(sin x)
Divide both sides by e^y:
y' =cos(x) f'(sin x)/e^y
Rewrite in terms of x using that e^y=f(sin x):
y' =cos(x) f'(sin x)/f(sin x)
Now replace x with 4:
cos(4) f'(sin 4)/f(sin 4) is y' at x=4
Suppose you want a guitar. It costs $756. About how much would you have to save every month for 6 months to be able to buy the guitar? i assume $126?
Answer:
$126 is correct
Step-by-step explanation:
Answer:
$126/month
Step-by-step explanation:
Divide the total cost ($756) by 6 (months). We get $126/month. Six months' payment (6 times $126) will produce a total savings of $756.
when graphed the first equation in a system of equations is shown here. The equations below are options for the second equation. which of these options would create a system of equations that has NO SOLUTION select all that apply
does the right riemann sum underestimate or overestimate
That depends on the function in question.
If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.
If f is non-increasing, the right Riemann sum underestimates the integral.
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
this is my attachment answer hope it's helpful to you
Which of the following is equivalent to 16 3/2
Answer:
b is the answer because I don't know what to do with it and
I need help with this
every summand of an expression is called a???
Answer:
I think it's called a term.
Hope this helps :)
.
1/2 of David's money is
2/3 of Henry's money.
(a) Express David's money as a fraction of Henry's money
Answer:
80
Step-by-step explanation:
math
help meeeee pleaseeeeeeeeeeeee
Answer:
a) 92 m
b) 74 cm
Step-by-step explanation:
a)
2(length) + 2(width) = perimeter
2(x) + 2(73) = 330 m
2x + 146 = 330
2x = 184
x = 92 m
b)
length * width = area
85 * x = 6290 cm²
85x = 6290
x = 74 cm