Answer:
Break-even point is at quantity 220.
Step-by-step explanation:
Given the rent amount that is fixed cost for the store = $550
The average cost of the goods = $3
The average price of the goods = $5.50
Let the total number of break-even items = Q
Thus, total revenue = 5.50 x Q = 5.50Q
At break-even, TR = TC
5.50Q = FC + VC
5.50Q = 550 + 3Q
5.50Q - 3Q = 550
2.50Q = 550
Q = 550 / 2.50
Q = 220
Thus break-even point is at quantity 220.
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 28 feet up. The ladder makes an angle of 64 ∘with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answer:
31.2 ft
Step-by-step explanation:
sin = opp/hyp
sin64 = 28/hyp
hyp = 28/sin64
use calculator
hyp = 31.15285433330529
Rounded
31.2 ft
The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.
The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.
Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.
Let x represent the length of the ladder, hence:
sin(64) = 28 feet/x
x = 28 feet / sin(64)
x = 31.2 feet
Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.
Find out more at: https://brainly.com/question/25122825
You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *
Answer:
the first plan is better
this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher
2. the future value of option 1 is higher than that of option 2
Step-by-step explanation:
The effective annual rate can be used to determine which option is better
the option with the higher effective annual rate is the better option
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.07/12)^12 - 1 = 7.23%
option 2
EAR = e^r - 1
2.7182818^0.0685 - 1 = 7.09%
2nd method of determining the better investment is to determine the future value of each option
Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08
option 2 = 800e^(0.0685 x 6) = 1206.60
option 1 has the higher future value
Answer:6757.62
Step-by-step explanation:
use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.
B
47°
F
G
A
C
20
J
H Н
Answer:
umm, sorry! but what are you trying to ask??
Categories the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
Step-by-step explanation:
This graph is both linear and decreasing, as we move from left to right.
this is the last question plz help
Answer:
Skewed right as the values decrease to the right.
What is the slope of the line shown below?
10 -
(3,9)
(-4,2)
В. -6
ОООО
С. -1
D. 1
Answer:
D. 1
Step-by-step explanation:
Slope (m) formula:
m = y2 - y1 / x2 - x1
m = 2 - 9 / -4 - 3
m = -7/-7
Negative ÷ Negative = Positive
m = 1
How much shredded newspaper did each person at the table receive?
Answer:
Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.
1 1/3 × 4
= 4/3 × 4
= 16/3
= 5 1/3
Answer:
5 1/3
Step-by-step explanation:
1 1/3 * 4
Change 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
4/3 *4 = 16/3
Change to a mixed number
3 goes into 16 5 times with 1 left over
5 1/3
If two lines have an identical slope, and are 3 units apart on the x-axis, where will they cross?
Answer:
no
Step-by-step explanation:
If the lines have identical slopes then they are parallel and do not intersect.
( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4
Answer:
See below.
Step-by-step explanation:
6. 3 times a number (x) is greater than 10
3x > 10
7. A number (x) added by 4 is less than or equal to 7
x+4[tex]\leq[/tex]7
8. 6 is less than a number (x) divided by 6
6 < x/6
9. The ratio of 10 and a number (x) is greater than or equal to 5
(10/x) [tex]\geq[/tex] 5
10.The sum of x and 7 is less than 4
x + 7 < 4
The sum of three consecutive even numbers is 24 , find the numbers.
Answer:
three consecutive even integers whose sum is 24 are 6, 8 and 10.
Divide the total by amount of numbers. This will be the middle value:
24/3 = 8
The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.
6 + 8 + 10 = 24
The 3 consecutive even numbers are 6, 8 and 10
-8x - 18 + 7 + 2x = 5 - 3x - 4 + x
Find x. Don’t forget to combine like terms.
Please help this is due in a few minutes
Answer:
x = -3
Step-by-step explanation:
-8x - 18 + 7 + 2x = 5 - 3x - 4 + x
-8x + 2x + 3x - x = 18 - 7 + 5 -4
-4x = 12
x = -3
Helppppppppppp:)))))))))
Hi there!
We are given the set of ordered pairs below:
[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]
1. What is the domain?
Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}
2. What is the range?
Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}
3. Is the relation a function?
All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.
These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.
From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).
Good luck on your assignment, have a nice day!
What is the volume of the following rectangular prism? 1 3/4 1/2 i need a direct answer
Answer:
V = 0.375 units³
Step-by-step explanation:
The volume of a rectangular prism is V = lwh.
Where l is the length, w is the width, and h is the height.
Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.
V = lwh
V = (1)(¾)(½) units
V = (⅜) units
V = 0.375 units
Answer:
7/8
Step-by-step explanation:
Anyone wanna play Ka Hoot?
Step-by-step explanation:
Education is anyday more important than money. ... But education is knowledge and through knowledge, we can rule over the whole world. Knowledge is a wealth more important than money. Money can buy an object, but not the thought process (knowledge) that went into creating that object.
help please, 17 points for this question
Answer:
24 and 15
Step-by-step explanation:
Answer:
it is not 17 points for this question it is 9 points.
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7°
Step-by-step explanation:
Applying,
The measure of single exterior angle(S') = sum of exterior angle(S)/number of sides of the polygon(n)
S' = S/n................... Equation 1
If the sum of the exterior angle of a convex polygon(S) = 360°
From the diagram in the question,
Given: n = 11 sides
Substitute into equation 1
S' = 360/11
S' = 32.7°
Lydia bought a car for 20,000. It is expected to depreciate at a rate of 10% per year. What will be the value of the car in 2 years? use y=a(1-r)^t and round to the nearest dollar
Answer:
$16,200
Step-by-step explanation:
y = 20,000(1 - 0.1)^2
y = 20,000(0.9)^2
y = 20,000(0.81)
y = 16,200
$16,200
What is the surface area of a sphere with a radius of 19 units?
Hope this helps. Please mark brainliest if it did
Answer: 4536.46
circle the terms in the expression 6 + x + 3x + 5x2
Step-by-step explanation:
terms are the elements separated by the plus or minus signs.
Russell, Sarah, and Terry share money in the ratio 2:5:8. In total they have £120. Work out how much each gets.
Answer:
£16, £40, £64
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 + 8 = 15 parts
Divide the amount by 15 to find the value of one part of the ratio.
£120 ÷ 15 = £8 ← value of i part of ratio , then
2 parts = 2 × £8 = £16 ← amount Russell gets
5 parts = 5 × £8 = £40 ← amount Sarah gets
8 parts = 8 × £8 = £64 ← amount Terry gets
Answer:
$16, $40, $64
Step-by-step explanation:
The ratio is 2:5:8. Altogether, this adds up to 15. So they divided $120 into 15 portions. 120/15=8.
Russel got 2 portions of 8 dollars, Russel got $16
Sarah got 5 portions of 8 dollars, Sara got $40
Terry got 8 portions of 8 dollars, Terry got $64
The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.
x=−6
x=0
x=1
x=2
x=3
x=6
Answer:
x = -1, 6
Step-by-step explanation:
Equation of function 1 is,
y₁ = x² - 4x
Equation of function 2 is,
y₂ = x - 6
If y₁ = y₂
x² - 4x = x - 6
x² - 4x - x + 6 = 0
x² - 5x + 6 = 0
x² - 6x + x + 6 = 0
x(x - 6) + 1(x + 6) = 0
(x + 1)( x - 6) = 0
x = -1, 6
Answer:
x = 2 and x = 3
Step-by-step explanation:
y1 = 2^2 - 4(2)
2 x 2 - 8= -4
y2 = 2 - 6 = -4
y1 = 3^2 - 4(3)
9 - 12 = -3
y2 = 3 - 6 = -3
Change each of these test scores to:
i.) fractions in their lowest terms.
ii.) percentages.
Show your working.
a.) 21 out of 50.
b.) 105 out of 150.
c.) 45 out of 75.
d.) 118 out of 200.
Answer:
a) 21/50 -> 42%
b) 7/10 ->70%
c) 3/5 -> 60%
d) 59/100 -> 59%
Step-by-step explanation:
a,64.25+35.25+25
b, 58.42+32.8+5.16
c,135+360+65+40
d,463+318+137+22
e,(42.43+43.57+430-360:4
f,(372-19.4+(981:9-13)
g,456:2.18+456:3-102
h,20+21+22+...=29+30
Answer:
I don't really understand but Hope's this helps
Step-by-step explanation:
what is the question
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
I'LL MARK BRAINLIEST !!!
Evaluate the expression 4x2+3y for x = 5 and y =6.
Answer:
4(5)^2 + 3(6)
Step-by-step explanation:
200+18= 218
Please help I’ll give branliest
Answer:
optin d) 8
Step-by-step explanation:
[tex]2 \times 2 \times 2 = 2^3[/tex] [tex]= 8[/tex]
Find the simple interest on $600.00 saved for 2 years 8 months at 5℅ per annum.
Answer:
$80
Step-by-step explanation:
I = Prt
P = 600
r = 5%
t = 2 yrs and 8 mos = 8/3 yrs
I = 600(0.05)(8/3)
I = $80
Answer:
I believe the answer is $80.001.
Step-by-step explanation:
i used a calculator
find the value of discriminant of the equation X square + 10 x - 7 =02
Answer:
136
Step-by-step explanation:
as you know that discriminant of a quadratic equation is
D= b² - 4ac
here, according to the give equation
x² + 10x -7 -2= 0
x²+ 10x -9 = 0
b= 10 , c= -9 and a= 1
by putting all these values in D.
you can get the value of discriminant which is 136.
I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.
hope this helps.
The two triangles are similar. Create and solve proportions (two of them) to find the missing side measures. Drag and drop your answers.
Answer:
4
Step-by-step explanation:
the smaller triangle is the larger triangle divided by 4 so 16÷4 is 4.