The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
What is geometric series?A geometric series is a series in which the division of any consecutive two terms will be the same.
here, we have,
to determine the situation:
The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Read more about geometric sequence at:
brainly.com/question/11266123
#SPJ7
-8=1/2(-4)+b what is b
Answer: -6
Step-by-step explanation:
Answer:
B = - 6
Step-by-step explanation:
Multiply the numbers
[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]
Rearrange terms
[tex]-8=-2+b\\-8=b-2[/tex]
Add 2 to both sides of the equation
[tex]-8=b-2\\-8+2=b-2+2[/tex]
Simplify
Add the numbers
Add the numbers
Move the variable to the left
[tex]b=-6[/tex]
10 PTS
NEED HELP ASAP
Answer:
C (3x2)x8+7
Step-by-step explanation:
A commuter train travels 65 miles in 27 minutes. What is its speed in miles per minute?
Answer:
2.407407 miles per minute
Step-by-step explanation:
Joan is 66 inches tall.What is Joans height in feet?
Answer: 5 feet 6 inches.
Step-by-step explanation:
12 inches = 1 foot
We can divided 66 by 12 to find how tall Joan is in feet.
66 ÷ 12 = 5.5
The term "0.5" means half, and there are 12 inches in a foot. So half of a foot would mean 6, so Joan's height would be 5 feet and 6 inches.
Joan is 66 inches tall, then the height of Joan in feet will be equal to 5.5 feet.
What is Unit conversion?Multiplying or dividing by a numeric number, or more specifically, a correction factor, is a procedure comprising several steps known as conversion.
Rounding and choosing the appropriate number of significant digits may also be necessary steps in the procedure.
As per the given information in the question,
The given height of Joan = 66 inches
So, let's perform unit conversion,
1 foot = 12 inches, so,
x foot = 66 inches
Use cross-multiplication,
12x = 66 × 1
x = 66/12
x = 5.5 feet.
To know more about Unit conversion:
https://brainly.com/question/19420601
#SPJ6
Ren sets aside $1,000 into an online savings account with an annual
interest rate of 2.3%, compounded annually. How long will it take for the
money in his account to double?
Answer:
It will take 30.48 for the money in his account to double.
Step-by-step explanation:
Interest compounded anually:
With an investment of P, the amount compounded annualy after t years that you will have is given by:
[tex]A(t) = P(1+r)^{t}[/tex]
In which r is the interest rate, as a decimal.
Ren sets aside $1,000 into an online savings account with an annual interest rate of 2.3%
This means that [tex]P = 1000, r = 0.023[/tex]. So
[tex]A(t) = P(1+r)^{t}[/tex]
[tex]A(t) = 1000(1+0.023)^{t}[/tex]
[tex]A(t) = 1000(1.023)^{t}[/tex]
How long will it take for the money in his account to double?
This is t for which A(t) = 1000*2 = 2000. So
[tex]A(t) = 1000(1.023)^{t}[/tex]
[tex]2000 = 1000(1.023)^{t}[/tex]
[tex](1.023)^{t} = \frac{2000}{1000}[/tex]
[tex](1.023)^{t} = 2[/tex]
[tex]\log{(1.023)^{t}} = \log{2}[/tex]
[tex]t\log{1.023} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.023}}[/tex]
[tex]t = 30.48[/tex]
It will take 30.48 for the money in his account to double.
What is the estimate for each expression? Drag the number to each box.
011/2
Expression Estimate
1
8
+
2
5
13
14
−
1
10
1
12
+
1
20
Given the following expression:
[tex]\frac{1}{8} + \frac{2}{5}[/tex][tex]\frac{13}{14} -\frac{1}{10}[/tex][tex]\frac{1}{12} + \frac{1}{20}[/tex]To determine an estimate for each expression:
What is a fraction?A fraction can be defined as a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.
The parts of a fractionGenerally, a fraction comprises two (2) main parts and these include:
Numerator: it's the upper part of a fraction.Denominator: it's the lower part of a fraction.In this exercise, we would simplify and estimate the given expressions as follows:
Note: An estimate simply means an approximate value.
a. [tex]\frac{1}{8} + \frac{2}{5}=\frac{5+16}{40}=\frac{21}{40}[/tex]
For the estimate:
[tex]\frac{1}{8} + \frac{2}{5}=\frac{1}{2}[/tex]
b. [tex]\frac{13}{14} -\frac{1}{10}=\frac{130-14}{140} =\frac{116}{140} =0.83[/tex]
For the estimate:
0.83 ≈ 1
c. [tex]\frac{1}{12} + \frac{1}{20}=\frac{5-3}{60} =\frac{2}{60} =0.03[/tex]
For the estimate:
0.03 ≈ 0
Read more on fractions here: https://brainly.com/question/368260
Choose the graph of the inequality - 3 > ..
Choose 1 answers
5
.4
-3
2
1
0
1
2
3
4
5
2
1
0
1
2
3
4
5
CO
-3
2.
0
1
3
4
5
Answer: 5
Step-by-step explanation: 5 isn’t equal to all
Is a iready diagnostic score 483 for a 8th grader in math good?
Answer:
yes
Step-by-step explanation:
can learn lot and get better.
The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (population of 70,000) since the beginning of 2018 - today is July 4th, 2018. On February 1st, 2018, 43 of those cases were hospitalized. What was the prevalence rate of flu cases requiring hospitalization thus far in 2018?
Answer:
The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:
= 0.13%
Step-by-step explanation:
a) Data and Calculations:
Population of Portland, ME = 70,000
Number of flu cases requiring hospitalization on February 1st, 2018 = 43
Number of flu cases requiring hospitalization on July 4th, 2018 = 90
The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%
b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.
The measure of an angle is 8º. What is the measure of its complementary angle?
HELPPP plzz
Answer:
82 degrees
Step-by-step explanation:
Complementary angles add up to 90 degrees. if one angle is 8 then,
90-8=82
Hans spent three days baking 224 cookies. on the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day. how many cookies did he bake on the second day?
Answer:
She baked 32 cookies the first day, and 32*2=64 the second day.
Step-by-step explanation:
Derrick has 2 1/2 cups of sugar. He needs 1/8 of a cup of sugar for each recipe. How many recipes can be make
Answer:
20
Step-by-step explanation:
Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
Answer:
y = 2x² - 72 = 0
Step-by-step explanation:
2(x - 6)(x + 6) = 0
2(x² - 36) = 0
2x² - 72 = 0
The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.
A quadratic equation with roots at 6 and -6 can be written in factored form as:
(x - 6)(x + 6) = 0
To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:
2(x - 6)(x + 6) = 0
Expanding the equation:
2(x² - 36) = 0
Distributing the 2:
2x² - 72 = 0
Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:
2x² - 72 = 0
To know more about quadratic equation click here :
https://brainly.com/question/30111792
#SPJ2
Ms. Hart paid $300 for 6 admission tickets and a $15 parking pass for an amusement park.
What is the cost of one admission ticket?
The cost of one admission ticket is $
Answer:
The cost of one admission ticket is 47.5
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.
molly is comparing two different food companies to provide food for her banquet. The total cost, y, includes a one-time delivery fee and an additional fee based on the number of people, x, who attend the banquet. What is the cost per person for Company A
Answer:
x
Step-by-step explanation:
the variable that represents the cost per person is x
The cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex] where C is cost per person and d is one time fixed delivery fee.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, let we take:
C = cost per person for company Ad = one-time delivery feeWe're given that:
y = total cost x = number of people, who attend the banquet.That means, as C is cost per person, so for x persons, it will be [tex]C \times x[/tex]
Thus, total cost = cost for x persons + delivery cost
or
[tex]y = C \times x + d\\\\[/tex]
Subtracting 'd' from both sides and then dividing both sides by 'x', we get
[tex]C = \dfrac{y-d}{x}[/tex]
Thus, the cost per person for company A is given as: [tex]C = \dfrac{y-d}{x}[/tex]where C is cost per person and d is one time fixed delivery fee.
Learn more about forming equations here:
https://brainly.com/question/11938672
Please help me !!!!!!!!!!!!!!!
What is the value of the digit 9 in 71.92
Answer:
.90
Step-by-step explanation:
?
What is the solution to the system of linear equations graphed below?
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
Graph the linear function using slope intercept form
y=2x+6
A line has a slope of 1 and passes through the point (8, 1) . What is its equation in slope -intercept form?
Answer:
Step-by-step explanation:
y - 1 = x - 8
y = x - 7
Every pupil in a class either swims or rides a horse three fifths of the class swim and three fifths ride horses five pupils both swim and ride horses how many pupils are in the class
Its one of these [ 15 Or 20 Or 25 Or 30 Or 35 ]
Answer:
Equestrianism (from Latin equester, equestr-, equus, 'horseman', 'horse') commonly known as horse riding (British English) or horseback riding (American English),includes the disciplines of riding, driving, or vaulting with horses. This broad description includes the use of horses for practical working purposes, transportation, recreational activities, artistic or cultural exercises, and competitive sport.
Please show work so i know how you got your answer
Answer:
24
Step-by-step explanation:
7 5/6 x3 =23.5
Check for understanding:
Use < or > to compare the following: 45.112_45.15 (Explain your answer)
Answer:
you use the < sign because 45.112 is less than 45.15
Step-by-step explanation:
Hi, can someone help me?
Answer:
No, no puedo ayudarte aunque te deseo buena suerte
Answer:
the price !!
Step-by-step explanation:
the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!
a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"
i really hope this helps!
Solve for x: -3x +10 = 31
Answer:
x= -7
Step-by-step explanation:
-3x=21 . subtract 10 from 31
then you divided by 3
x= -7
What is the value of F(x)=3X^2 + 4 when x = -3
Answer:
31
Step-by-step explanation:
f(-3)= 3(-3)2+4= 3(9)+4= 27+4= 31
if my answer helps please mark as brainliest
hi find the distance in the coordanite plane between the two points and show ur work
1 (5, -8) and (5,2)
2 (-8, -2) and (7, -2)
3 (9, 10) and (9, -2)
4 (11 , 6) and (-7, 6)
Answer:
The distance between (5, -8) and (5,2) is: d = 10 units
Step-by-step explanation:
Note: I will solve the first question as the procedure solution for the remaining questions is exactly the same.
Given the points
(5, -8)(5,2)Determining the distance between (5, -8) and (5,2)
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
substitute (x₁, y₁) = (2, 3) and (x₂, y₂) = (2, -5)
[tex]=\sqrt{\left(5-5\right)^2+\left(2-\left(-8\right)\right)^2}[/tex]
[tex]=\sqrt{\left(5-5\right)^2+\left(2+8\right)^2}[/tex]
[tex]=\sqrt{0+10^2}[/tex]
[tex]=\sqrt{10^2}[/tex]
[tex]=10[/tex] units
Therefore, the distance between (5, -8) and (5,2) is: d = 10 units
4x – 2y = 10
у=-2x-1
Answer:
I love algebra
The ans is in the picture
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x - 2(-2x - 1) = 10
4x + 4x + 2 = 10
8x + 2 = 10
8x = 8
x= 1
y = -2(1) - 1
y = -2 - 1
y = -3
(1, -3)
2x + 7y =3 what is x and what is y
2x + 7y = 3
2x = 3 - 7y
x = [tex]\frac{3x-7}{2}[/tex]
2x + 7y = 3
7y = 3 - 2x
y = [tex]\frac{3 - 2x}{7}[/tex]