Answer:
The answer is solution D.
Step-by-step explanation:
130 + 12.50p ≤ 1500
The 130 is the setup fee
The 12.50 is the amount to pay per person
p means the number of people
The symbol ≤ means smaller than or equal to so it could be either of those
The 1500 is the max amount of money that they could spend for the party.
During the recent recession, Bob's home value dropped to only $175,000. Since then the economy has turned around and the market is improving at a rate of 4.5% annually. At this rate, how much will Bob's home be worth 12 years after the market started improving? And what equation did you use?
Answer:
Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
Step-by-step explanation:
Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]
market is improving at 4.5% annually.
This, means that the value of house gets appreciated by 4.5% each year from its previous year value.
This is a problem of compound interest formula
[tex]FV = PV(1+r/100)^n[/tex]
where PV is the present value of any thing
FV is the future value
r is the annual rate of interest
t is the time in number of year for which rate is applicable.
_____________________________________
Given
PV = $175,000.
r = 4.5%
t = 12 years
Value after 12 year will be given by
[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]
Thus, Bob's home will worth $296,779.25 after 12 years.
Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]
Solve the inequality 3x - 5 < 4.
Answer:
I got x<3
Step-by-step explanation:
Answer:
x < 3
Step-by-step explanation:
Add 5 to both sides. Then: 3x < 9 and x < 3.
The solution is the area to the left of x = 3 (but not touching x = 3).
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two-thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
4 times faster
Step-by-step explanation:
From the above question, we have the following information
Let us represent the Distance traveled by Abigail as Y
On her skateboard she travelled two thirds of the way = 2/3Y
She walks the rest of the way home = Y - 2/3Y = 1/3Y
The time she used to walk home is twice the time she used to ride her skate board
Hence, let us represent the time she used to ride her skateboard as S
So, Time she used to walk home = 2 × S = 2S
The question is asking us, how fast ,this is = Speed
The formula for Speed = Distance/ Time
Speed for her skate board = 2/3Y/S = 2Y/3S
Speed as she walks = 1/3Y / 2S = Y/ 6S
How many times faster is Abigail on her skateboard than she is walking is calculated as :
Speed of Abigail while skating ÷ Speed of Abigail while walking
= 2Y/3S ÷ Y/6S
= 2Y/3S × 6S/Y
= 4
Therefore, Abigail was 4 times faster on her skateboard than she is walking.
In how many ways can a committee of size 5 be formed from 11 people? Assume that, when people are chosen for a committee, the order of the choices does
not matter.
Answer:
462 ways
Step-by-step explanation:
PLEASE HELP!!!
What is the distance, in units, between P=(−6,8) and Q=(9,8)?
Answer:
15
Step-by-step explanation:
Answer ASAP In the given diagram, ∠4 = 45°, ∠5 = 135° and ∠10 = ∠11 Part A: Solve for the values of the remaining angles. Show all of your work. Part B: Use complete sentences to describe the angle relationship between the following angle pairs: 1. ∠4 and ∠1 2. ∠7 and ∠5 3. ∠9 and ∠10
Answer:
A) ∠9 = ∠10 = ∠11 = ∠12 = 90°
∠2 = ∠3 = ∠5 = ∠8 = 135°
∠1 = ∠4 = ∠6 = ∠7 = 45°
B) 1. ∠4 and ∠1 -> vertical angles
2. ∠7 and ∠5 -> supplementary
3. ∠9 and ∠10 -> supplementary
Step-by-step explanation:
Data
∠4 = 45°∠5 = 135°∠10 = ∠11The following are vertical angles, so they are congruent:
∠1 ≅ ∠4
∠3 ≅ ∠2
∠11 ≅ ∠9
∠10 ≅ ∠12
∠7 ≅ ∠6
∠5 ≅ ∠8
From here and data, it is deduced that
∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12
From the picture, the addition of them is equal to 360°, then:
∠11 + ∠9 + ∠10 + ∠12 = 360°
4*∠11 = 360°
∠11 = 360°/4
∠11 = 90° = ∠10 = ∠9 = ∠12
∠2 and ∠4 are supplementary, then:
∠2 + ∠4 = 180°
∠2 = 180° - 45°
∠2 = 135°
∠7 and ∠5 are supplementary, then:
∠7 + ∠5 = 180°
∠7 = 180° - 135°
∠7 = 45°
Answer:
Started learning this today and this made a lot easier
Sarah's car travels 28 miles on on gallon of gas. Greta's car travel 18 kilometers on one liter of gas. Which car gets better gas mileage?
Answer:
Gretas car gets better gas mileage
Step-by-step explanation:
18 km= 18,000 miles
18,000>28
So, Gretas car gets better gas mileage
Hope this help!
x^2 + 20x + 28 = 9 find the graphing/vertex form
Answer: [tex](x+10)^2+119=0[/tex]
Step-by-step explanation:
For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]
Subtract 9 from both sides
[tex]=x^2+20x+19=0[/tex]
compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides
b= 20
[tex]x^2+20+100+19=-100[/tex] [(b/2)²=20/2=10]
[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]
[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]
So, the vertex form : [tex](x+10)^2+119=0[/tex]
Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that
represents Angelo's second cut.
Answer:
The correct option is A
A) y = (1/5)x + 6
Step-by-step explanation:
The equation of the first cut shown in the graph is:
y = (1/5)x - 1
We know that a general form of linear equation is given as:
y = mx + c
Comparing both equations, we get that the slope m = 1/5
As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5
Substitute it in the general linear equation
y = mx + c
y = (1/5)x + c
We know that this equation passes through the point (0,6), substitute it in the above equation>
6 = (1/5)(0) + c
c = 6
The equation for second cut be found by using m = 1/5 and c = 6
y = mx + c
y = (1/5)x + 6
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, but a mixer number or decimal .
Answer:
m = -1/2
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find our slope m:
(-8, 0) x-int
(0, -4) y-int
m = (0 + 4)(-8 - 0)
m = 4/-8
m = -1/2
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
Answer:
C.21
Step-by-step explanation:
The value of 1/ (2x³ + 3.4y) is 1/33.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Fraction = 1/ (2x³ + 3.4y)
We have the value x= 2 and y=5.
So, 1/ (2x³ + 3.4y)
= 1/ (2(2)³ + 3.4(5))
= 1/ (2(8) + 17)
= 1/ (16+17)
= 1/ 33
Hence, the value is 1/33.
Learn more about Fraction here:
https://brainly.com/question/10354322
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The functions f(x) and g(x) are shown on the graph.
Rx) = x²
What is g(x)?
state whether it represents a function
Answer:
See below.
Step-by-step explanation:
To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.
So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.
Graph 3 - not a function.
Graph 4 - not a function.
Graph 5 - not a function.
Graph 6 is a function.
Jacob is painting the walls of his new tiny house. If 3⁄4 of a can of paint is enough to paint 1 / 8of the walls, how much paint does Jacob need to paint all of the walls?
Answer:
6 cans
Step-by-step explanation:
I used Improper Fractions to solve this question.
3/4 is enough to paint 1/8
Therefore we can multiply 3 by 8 to calculate how much paint is required for the whole wall.
3 * 8 = 24
24/4 = 6
Pls help C: Summer Homework (ASAP)
Answer:
3/2f = 2e
Step-by-step explanation:
The equation is Written has this (3/2f = 2e)
Answer:
[tex]\frac{2}{3} f=2e[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} *9=6[/tex] ~ this is an example of the answer being used to be multiplied by [tex]f[/tex] to get the result which is listed through [tex]e[/tex]. This example is Batch B, cups of flour was 9. 9 multiplied by [tex]\frac{2}{3}[/tex] will lead us to 6 which is the number of eggs used in Batch B.
Hope this helps!
A t-shirt increased in price by 1/7. After the increase it was priced at £56. What was the original price of the t-shirt?
Answer:
£48
Step-by-step explanation:
56 ÷ 7 = £8
56 - 8 = £48
Please let me know if my answer is correct.
Answer:
48
Step-by-step explanation:
In △EKL, m∠K = 90º, m∠E = 25º, EK = 3 cm, KH - altitude. Find EH.
Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
20 points brainlist thanks
What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth.
9.23
10.20
10.98
11.34
please explain how you got the awnser im having a hard time
Answer:
The answer Is 10.20
Step-by-step explanation:
d = \/(0-(-2))² + (-6-4)²
d = \/(0+2)² + (-10)²
d = \/(2² + 100)
d = \/(4+100)
d = \/104
d ~ 10,20
Step-by-step explanation:
by using distance formula it is easily calculated
On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?
What is the length of the y-component of the vector shown below? A. 77.3 B. 15.0 C. 20.7 D. 21.4
Answer:
[tex]y = 20.7[/tex]
Step-by-step explanation:
Given
The figure above
Required
Calculate the y component
Represent the y component with y, the resultant vector with s and the angle with [tex]\theta[/tex]
The y component of a vector (as it is, in this case) is calculated as thus;
[tex]sin\theta = \frac{y}{s}[/tex]
[tex]Where\ \theta = 15\\ s = 80[/tex]
Substituting these values in the equation
[tex]sin\theta = \frac{y}{s}[/tex] becomes
[tex]sin\ 15= \frac{y}{80}[/tex]
Multiply both sides by 80
[tex]80 * sin\ 15= \frac{y}{80} * 80[/tex]
[tex]80 * sin\ 15= y[/tex]
[tex]80 * 0.2588190451= y[/tex]
[tex]20.705523608 = y[/tex]
[tex]y = 20.705523608[/tex]
[tex]y = 20.7[/tex] (Approximated)
give your answer as a mixed number
4 3/7 - 2 5/7
get brainliest urgent plz help
Answer:
[tex]1\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]4\frac{3}{7} -2\frac{5}{7}[/tex]
Step 1. Simplify left side 4*7+3 , Right Side 2*7+5
[tex]=\frac{31}{7} -\frac{19}{7} = \frac{12}{7}[/tex]
Step 2. Re-write 12/7 as mixed number
[tex]\frac{12}{7} = 1\frac{5}{7}[/tex]
Classify the following triangle. Check all that apply.
7
9
11.4
A. Equilateral
O B. Isosceles
O C. Acute
O D. Scalene
O E. Right
O F. Obtuse
Answer:
Scalene and right
The given triangle is the right-angle triangle.
What is a right-angled triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.
Hence, the given triangle is the right-angle triangle.
To know more about the right-angled triangles follow
https://brainly.com/question/18452950
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witch expression is equivalent to 10-8
Answer:
2
Step-by-step explanation:
=> 10-8
=> 2 (Equivalent Expression)
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
The answer is 3 mark as brainliest
Step-by-step explanation:
3 *3-4*4+2*5
9-16+10
9-6=
3
Answer:
Hey there!
3a-4b+2c
3(3)-4(4)+2(5)
9-16+10
3
Your answer would be 3.
Hope this helps :)
HELP NEEDED PLS HELP! THANK YOU Use the fundamental theorem of algebra to state all the possible roots of the function f(x)=2x^3+3x^2-4x-12 Can someone please show me how to do it
Answer:
x=2 (−∞,∞)
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x
Hope this helps (sorry if it's confusing)
Answer:
x = 1.71282
Step-by-step explanation:
2x^3+3x^2-4x-12
2 x³ + 3 x² - 4x - 12 = 0
x = 1.71282
see attachment.
Dan must choose a shirt, a pair of pants, and a cap for today's outfit. He has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can he make?
Answer:
12 different outfits
Step-by-step explanation:
2 x 2 x 3 = 12 outfits.
Answer:
12
Step-by-step explanation:
He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:
2 * 2 * 3 = 12 outfits
pls answer this ill mark as brainliast
Answer:
A decrease of 9.2% is 1 - 0.092 = 0.908. 0.908 * 721.45 = 655.08.
Answer:
721.45 x 9.2% = 721.45 x 0.092 = 66.37
so 66.37 is the discount
721.45 - 66.37 = 655.08
So 655.08 is the discounted price
655.08 is the answer
Hope this helps
Step-by-step explanation:
What is the surface area of a sphere with a radius of 11 units?
A. 13317 units2
B. 3637 units2
C. 7267 units2
D. 48470 units2
Answer:
Step-by-step explanation:
The surface area of a sphere with radius r is given by
S = 4 pi r^2
for a radius of 11 units,
S = 4 pi 11^2 = 484 pi = 1520.5 sq. units
This does not correspond to any of the answers.
Please check question.
Answer:
484[tex]\pi[/tex]
Step-by-step explanation:
Surface Area of Sphere Formula: 4[tex]\pi[/tex]r[tex]r^{2}[/tex]
When you plug it in it is 4[tex]\pi[/tex][tex]11^2[/tex]
Then you would get 484[tex]\pi[/tex]
Find the value of x that will make L||M. 7x+9 & 8x+2 x=? please help!
Answer:
x = 7
Step-by-step explanation:
=> 7x+9 = 8x+2 (Corresponding angles are equal)
=> 8x-7x+2 = 9 (Subtracting 7x to both sides)
=> x = 9-2 (Subtracting 2 to both sides)
=> x = 7
Find the common difference for the sequence shown.
56, 49, 42, 35, ...
0-12
0-7
07
To find the common difference, subtract all the numbers in order.
56 - 49 = 7
49 - 42 = 7
42 - 35 = 7
Therefore, common difference is 7.
Best of Luck!
Answer:
The answer is -7
(got this answer right on the lesson)
Step-by-step explanation: