Answer:
There were 118 monthly members before the incentive
Step-by-step explanation:
Let the total number of incentive
Monthly membership after incentive = a
Yearly membership after incentive = b
a/b = 5/8
We are told in the question that: 59 monthly members after the incentive,
5/8 = 59/b
Cross Multiply
5b = 59 × 8
b = 59 × 8/5
b = 472/5
b = 94.4
Therefore, number of yearly members = 94.4
Total number of Membership after incentive
= 94.4 + 59
= 153.4
Note that total number of members before incentive = total number of members after incentive
From the question, At the beginning of the year the ratio of monthly to yearly was 10:3.
Monthly membership after incentive = a
Yearly membership after incentive = b
a/b = 10/3
10b = 3a
b = 3a/10
a + b = 153.4
a + 3a/10 = 153.4
10 × a + 3a × 1/ 10 = 153.4
10a + 3a = 10 × 153.4
13a = 1534
Divide both sides by 13
a = 1534/13
a = 118
Therefore, the number of members before monthly incentive = 118
Solve the inequality.
-7x> 42
Answer:
x < -6
Step-by-step explanation:
-7x> 42
Divide each side by -7, which means flipping the inequality since we are dividing by a negative
-7x/-7 < 42/-7
x < -6
[20 points] -x + 4 = 9
Answer: x = -5
Step-by-step explanation:
-x + 4 = 9
-4 -4
-x = 5
divide by -1 on both sides
x = -5
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
−x+4=9
Step 1: Subtract 4 from both sides.
−x+4−4=9−4
−x=5
Step 2: Divide both sides by -1.
−x /−1 = 5 /-1
x=−5
Answer:
x=−5
f(x) = x^2-4x find f(2)
Answer: -4
Step-by-step explanation:
Given the value of x, you must plug it into the equation ( f(x) is basically y )
(2)^2 - 4(2)
4 - 8 = -4
18m + –5m + 8m + 6 = –15
solve for m
Answer: M= -1
Step-by-step explanation:
18m + -5m + 8m= -21 (combine like terms)
21m= -21 (bring the positive 21 over to the other side by dividing)
m = -1
Find the distance between each pair of points.
1. 1-4.6) and (3.-7)
2. (-6,-5) and (2.0)
M=(-12,-1)
M=
4. (0.-8) and (3.2)
3. (-1, 4) and (1-1)
The distances between each pair of points are as follows:
1. (1, -4.6) and (3, -7): 3.12 (rounded to two decimal places)
2. (-6, -5) and (2, 0): √89 (exact value)
M = (-12, -1) and M = (4, 0): √257 (exact value)
4. (0, -8) and (3, 2): √109 (exact value)
3. (-1, 4) and (1, -1): √29 (exact value)
We may use the distance formula to calculate the separation between each pair of points:
d = √((x₂ - x₁)² + (y₂ - y₁)²),
where the two points' coordinates are represented by (x1, y1) and (x2, y2), respectively.
Let's determine the separation between each pair of points:
1. (1, -4.6) and (3, -7):
d = √((3 - 1)² + (-7 - (-4.6))²)
= √(2² + (-2.4)²)
= √(4 + 5.76)
= √9.76
= 3.12 (rounded to two decimal places)
2. (-6, -5) and (2, 0):
d = √((2 - (-6))² + (0 - (-5))²)
= √(8² + 5²)
= √(64 + 25)
= √89 (exact value)
M = (-12, -1) and M = (4, 0):
d = √((4 - (-12))² + (0 - (-1))²)
= √(16² + 1²)
= √(256 + 1)
= √257 (exact value)
4. (0, -8) and (3, 2):
d = √((3 - 0)² + (2 - (-8))²)
= √(3² + 10²)
= √(9 + 100)
= √109 (exact value)
3. (-1, 4) and (1, -1):
d = √((1 - (-1))² + (-1 - 4)²)
= √(2² + (-5)²)
= √(4 + 25)
= √29 (exact value)
For more such question on distances. visit :
https://brainly.com/question/30395212
#SPJ8
What is 1,000,000x4,573,500?
Answer:
1,000,000x4,573,500 = 4.5735e+12
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Set up an equation like this...
[tex]1,000,000*4,573,500=?[/tex]
And now when you multiply them together you should get...
4.5735e12
17. Verizon charges a one time fee of $10.50, plus $0.15 per text.
AT&T charges a one time fee of $7.00, plus $0.25 per text. How many text messages
until the two plans cost the same?
Answer:
$10.50+(x*0.15)=$7.00+(y*0.25)
this will tell you your answer
Step-by-step explanation:
QUESTION 7 The matrix A = and 012-2 1 0 0 17/2 010 10 C = 2 03 1 2 -1 1 3 001 -6 4 -3 1 2 000 0 Use the above to answer the following questions. 7.1 Find a basis for the nullspace of A. (7) (2) 7.2 Find a basis for the column space of A. 7.3 Find the rank and nullity of A. (2) 7.4 Find a subset of the vectors v₁ = (0, 2, 2, 4), v₂ = (1,0,−1, −3), V3 = (2, 3, 1, 1) and V₁ = (-2, 1, 3, 2) that forms a basis for the space spanned by these vectors. Explain clearly. (4) [15 marks] 02 2 4 10-1-3 1 1 23 -2 1 3 2 is row equivalent to the matrix B= is row equivalent to the matrix D = 1 0 -1 -3 01 1 00 0 00 0-6 3216
(7.1) basis for the nullspace of A
(7.2) basis for the column space of A
(7.3) rank and nullity of A
(7.4) subset of vectors forming a basis for the space spanned by v₁, v₂, v₃, and v₄.
Additionally, matrices B and D are row equivalent to each other.
For matrix A = [0 1 2; -2 0 3; 1 -1 1; 0 0 17/2]
To find the basis for the nullspace of A, we need to solve the homogeneous equation Ax = 0. This can be done by row reducing the augmented matrix [A | 0] and finding the special solutions. The basis for the nullspace consists of the vectors corresponding to the free variables in the row-reduced echelon form.
To find the basis for the column space of A, we can consider the pivot columns in the row-reduced echelon form of A. The column space consists of all linear combinations of these pivot columns.
The rank of A is the number of linearly independent columns in A, which corresponds to the number of pivot columns in the row-reduced echelon form. The nullity of A is the dimension of the nullspace, which is equal to the number of free variables.
To find a subset of vectors v₁, v₂, v₃, and v₄ that forms a basis for the space spanned by these vectors, we can row reduce the matrix [v₁ v₂ v₃ v₄] and identify the linearly independent columns.
The matrices B and D being row equivalent means that they can be transformed into each other by a sequence of elementary row operations. This implies that they have the same row space and nullspace, as well as the same rank and nullity.
Learn more about echelon form here:
https://brainly.com/question/30403280
#SPJ11
There are 4 white and 8 red roses in a bouquet. Find the ratios.
The ratio of the numbers of red roses to the number of all roses
Answer:
this answer is for a different type ex the ratio of red roses to WHITE roses
Step-by-step explanation:
8:4 ÷2
2:1
The ratio of number of red roses to the number of all roses is given by the proportion 2 : 3
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
The number of white roses = 4 white roses
The number of red roses = 8 red roses
So , the total number of roses = 4 + 8
The total number of roses = 12 roses
Now , the ratio will be
The number of red roses to number of total roses is
A = 8 : 12
A = 8/12
A = 2/3
Therefore , the proportion is 2 : 3
Hence , the proportion is 2 : 3
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
Please help if you answer this i’ll give brainlest
Answer:
you just need to get 93 and times it my the number next to it and you will get your answer which is 257
Calculate the price of a $1,000 face value bond that offers a
$50 annual coupon, and has six years to maturity, when the interest
rate is 4.0% (0.040).
In the given problem, we calculated the price of a bond with a $1,000 face value, a $50 annual coupon, and six years to maturity when the interest rate is 4%. The price of the bond was found to be $1,160.79.
The calculation of the price of the bond can be done using the following formula:
Price = (Annual Coupon Payment / Interest Rate) x (1 - 1 / (1 + Interest Rate) ^ Years to Maturity) + Face Value / (1 + Interest Rate) ^ Years to Maturity.
The annual coupon payment is $50, the interest rate is 4% or 0.040 and the face value is $1,000. Therefore, the price of the bond is given as:Price = ($50 / 0.040) x (1 - 1 / (1 + 0.040) ^ 6) + $1,000 / (1 + 0.040) ^ 6Price = ($1,250) x (1 - 1 / 1.281) + $747.26Price = $1,160.79.
Therefore, the price of the bond is $1,160.79. The bond offers an annual coupon of $50 and has a face value of $1,000. It has six years to maturity and the interest rate is 4%.
Using the bond pricing formula, we can calculate that the price of the bond is $1,160.79.
In finance, a bond is a type of debt security in which the issuer owes the holders a debt and is obliged to pay interest or repay the principal at a later date, known as maturity.
A bond can be issued by a company, municipality, or government entity as a means of raising capital. The price of a bond is determined by several factors, including its face value, coupon rate, and interest rate.
In the given problem, we are asked to calculate the price of a bond with a $1,000 face value, a $50 annual coupon, and six years to maturity when the interest rate is 4%.
Using the bond pricing formula, we found that the price of the bond is $1,160.79.
This means that if an investor were to buy the bond for this price, they would receive the annual coupon payments of $50 for the next six years and then receive the face value of $1,000 at maturity.
In conclusion, the price of a bond can be calculated using the bond pricing formula. The price of a bond depends on several factors, including its face value, coupon rate, and interest rate. In the given problem, we calculated the price of a bond with a $1,000 face value, a $50 annual coupon, and six years to maturity when the interest rate is 4%. The price of the bond was found to be $1,160.79.
To know more about interest rate visit:
brainly.com/question/14556630
#SPJ11
Please please help me!!
Answer:
B
Step-by-step explanation:
Help pls I need help
Answer: hold ctrl alt and hit up
Step-by-step explanation:
In ∆ABC,|AB|=10cm and|AC|=18cm.M is the midpoint of BC and the bisector of angle A meets side BC at N.If |MN|=2cm , calculate |BC|
Step-by-step explanation:
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️.
que porcentaje se ha colocado un capital de 8,000 que produce 600 de interés durante 3 años?
Given parameters:
Capital = 8000
Interest accrued = 600
Duration or time = 3yrs
Unknown:
Interest rate = ?
To solve this problem, we use the simple interest formula.
Interest is the return on an investment.
Capital is starting amount
Duration is the time length of an investment.
Simple interest formula is given as:
SI = [tex]\frac{PRT}{100}[/tex]
Where SI is the simple interest
P is the principal
R is the interest rate
T is the time
The unknown here is the interest rate;
PRT = 100SI
Now input the parameters and solve for R;
8000 x R x 3 = 100 x 600
24000R = 60000
R = [tex]\frac{60000}{24000}[/tex] = 2.5%
The interest rate is 2.5%
If a = 1/x − 1/y , what is the value of 1/a ?
Answer:
1/a = xy/(y-x)
Step-by-step explanation:
Simplify the reciprocal:
1/a = 1/(1/x -1/y) = 1/((y-x)/(xy))
1/a = xy/(y-x)
The weights of adult women are approximately normally distributed about a mean of 142 lbs. with a standard
deviation of 14 lbs. If Renee is at the 96 percentile in weight for adult women, then her weight, in lbs. is closest
to
Answer:
166. 5
Step-by-step explanation:
Given the following :
Mean weight (m) = 142 lbs
Standard deviation (sd) = 14 lbs
Renne = 96 percentile, what is Renne's weight
Using the equation :
Zscore = (score - mean) / standard deviation
96 percentile = 0.96 is equivalent to a Zscore of
1.75
Hence,
1.75 = (score - 142) / 14
14 * 1.75 = score - 142
24.5 = score - 142
24.5 + 142 = score
Score = 166.5
I have dyslexia and it’s really hard 4 me but I’ve been doing better but I’m stuck on this⬇️
The temperature increased 612°F in the afternoon before decreasing 8.7°F in the evening.
What was the evening temperature? Enter your answer in the box in decimal form.
© a In Fig. 6.28, show that APAX is similar to
AYAQ.
b Hence show that
Pal X JAQI = YAI X laxl.
c IfXal = 14 cm, Pal = 6 cm and
IYA) = 3 cm, calculate (AQI.
X
Р
А
Q
Y
The missing figure is attached down
Answer:
ΔPAX ≈ ΔYAQ ⇒ proved down
PA × AQ = YA × AX ⇒ proved down
AQ = 7 cm
Step-by-step explanation:
In two triangles: if their corresponding angles have the same measures, then they are similar
In triangles ABC and XYZ, if m∠ABC = m∠XYZ, m∠BCA = m∠YZX, m∠CAB = m∠ZXYThen, ΔABC ≈ ΔXYZIf two triangles are similar, then their corresponding sides are proportion
If ΔABC ≈ Δ XYZ, then[tex]\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}[/tex] ⇒⇒⇒ Their sides are proportionIn our question:
From the attached figure
∵ YQ // PX
∴ m∠AYQ = m∠APX ⇒ corresponding angles
∴ m∠AQY = m∠AXP ⇒ corresponding angles
∵ ∠A is a common angle
∴ ΔPAX ≈ ΔYAQ ⇒ proved
∵ ΔPAX ≈ ΔYAQ
∴ Their corresponding sides are proportion
→ side PA is corresponding to side YA
→ side AX is corresponding to side AQ
→ side PX is corresponding to side YG
∴ [tex]\frac{PA}{YA}=\frac{AX}{AQ}=\frac{PX}{YQ}[/tex]
∵ [tex]\frac{PA}{YA}=\frac{AX}{AQ}[/tex]
→ By using cross multiplication
∴ PA × AQ = YA × AX ⇒ proved
∵ AX = 14 cm
∵ PA = 6 cm
∵ YA = 3 cm
→ Substitute these values in the relation above
∴ 6 × AQ = 3 × 14
∴ 6 AQ = 42
→ Divide both sides by 6
∴ AQ = 7 cm
I would really appreciate it if y’all would help me on this question asap please and thank you
Answer:
11=64 15=64 and 1=116
Step-by-step explanation:
6 and 5 are a straight angles meaning they add up to 180 so if you take 180-64=116 you can apply them to their congruent angles and figure it out
divide (x^2+x-6) by (x+3)
Answer:
x-2
Step-by-step explanation
[tex]\frac{x^{2} + x - 6}{x + 3} = \frac{(x-2)(x+3)}{(x + 3)} = (x-2)[/tex]
eliminate (x+3) from top and bottom leaving (x-2)
-26+13x+2>2-13x
could somone help me plz??
Answer:
x > 1
Step-by-step explanation:
-26 + 13x + 2 > 2 - 13x
combine like terms
-24 + 13x > 2 - 13x
add 24 to both sides to cancel out the -24
-24 is canceled out by +24
13x > 2 + 24 - 13x
combine like terms
13x > 26 - 13x
add 13x to both sides to cancel out -13x
13x + 13x > 26
combine like terms
26x > 26
divide both sides by 26
x > 1
Jessica bakes 112 muffins in 7 batches.How many muffins does each Bach contain
There is 18 inches of snow on the ground. Snow is falling at a rate of 4 inches per hour. Write a function to represent the total amount of snow.
Answer:
[tex]f(x) = 4x + 18[/tex]
Step-by-step explanation:
Since there are 18 inches of snow already, 18 is our constant term in the function. Then, we describe x to be the number of hours that it snows for. We multiply this by 4 to find how many inches of snow fell during those hours. We add this term to the constant term to get the solution to y or [tex]f(x)[/tex]
How many teaspoons of red paint would you need if you use 35 teaspoons of blue paint?
Answer:
35 teaspoons of red paint to make it even.
Step-by-step explanation:
Helpppp me ASAP!!!!!!!!!
Answer:
11/1 or 11
Step-by-step explanation:
The scale of the y-axis is 11 and the scale of the x-axis is 1. As said before the Unit Rate is y/x
If you pick one point, let's say (2,22), that will give you 22/2. If we simplify that fraction you get 11/1 or 11.
I will give the person who solves this 20 points. With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? If necessary, round to the nearest tenth of a percent. Please Round
Answer:
The percentage of the discount is:
14.29% or 14.28%
How did it become 14.29%?
Its because the original answer is 14.2857143% that if you will simplify the answer will be 14.29%
Step-by-step explanation:
Answer:
19 percent off.
what is 50x5362?????
Answer:
50 by 5362= 268100
Step-by-step explanation:
multiply after aligning correctly
PLEASE HELP ITS DUE IN 13 MIN Rewrite y=x2+10x+33 in vertex form by completing the square. Then identify the vertex.
Answer:
Vertex form: y = (x+4)^2 - 9
Minimum y-value of function: [-9, ∞)
Step-by-step explanation:
Vertex form: y = a(x-h)^2 + k
To convert standard form into vertex form, you will need to complete the square. To find the minimum y-value, you will need to find the vertex and see the y-value (as it is a parabola and nothing goes above/below it).
Step 1: Move 7 over to the other side (or subtract 7)
y - 7 = x^2 + 8x
Step 2: Complete the Square
y - 7 + 16 = x^2 + 8x + 16
Step 3: Factor and combine like terms
y + 9 = (x + 4)^2
Step 4: Move 9 back to the right (or subtract 9)
y = (x + 4)^2 - 9
Final Answer: y = (x + 4)^2 - 9
Your vertex is located at (h, k), so at (-4, 9). Since the highest degree coefficient is positive, the parabola is facing up. Nothing will go below the y-value of 9.
Consider the line y=-1/5x+7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
-1/5 and 1/5
Step-by-step explanation:
when you move -1/5 to the left you get 1/5 that is perpendicular.
