Answers
Answer:
In t years after 2019 there are going to be 39,523,462*(1.172)^t people.
Step-by-step explanation:
For a) We have a starting amount of 39,523,462 people in 2019, if each year it grows at a rate if 1.72% then 1 year after 2019 would have 39,523,462*1.172 people. In 2 years we would have 39,523,462*1.172*1.172 or 39,523,462*1.172^2 people etc. We could conclude that after t years there would be 39,523,462*1.172^t people. In part b) just calculate this when t=11 and round this to the nearest whole number, I think you can do it yourself.
Related Questions
how many solutions does the following system of equations have y=2x+2 & 2y=4x+4
Answers
Step-by-step explanation:
The answer is : Infinitely many solutions (because they lie in each other)
Andy's little brother has a toy box that
contains 2 blue race cars, 1 green race car,
and 1 red race car. Andy removes 2 race cars
from the toy box without looking. If Andy
removes a blue car first and does not replace
it, which best represents the sample space
for the cars Andy removes?
Answers
Answer:
c.
Step-by-step explanation:
The solution is Option C.
Sample space is set A = { blue , blue } , { blue , green } , { blue , red }
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the sample space be represented as set A
Now , the equation will be
The number of blue cars = 2 blue cars
The number of green cars = 1 green car
The number of red cars = 1 red car
So , the total number of cars = 2 + 1 + 1 = 4 cars
Now , Andy removes 2 race cars from the toy box without looking
Let the first removed car be a blue car
So , the second car can have any value including a blue , green or white
And , the sample space is given by set A
Set A = { blue , blue } , { blue , green } , { blue , red }
Hence , the set is { blue , blue } , { blue , green } , { blue , red }
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Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).
Answers
Answer:
(f◦g)(−1) = -14
Step-by-step explanation:
First solve for g(x). g(x) = -1 - 6 = -7. Then plug -7 into f(x). f(x) = (-7)(2) = -14
2. A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000, how much did you pay for the car originally? *
Answers
Answer:
Step-by-step explanation:
Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
the other using a rotation and a dilation.
M
N
LO
R
Q
Timo concluded:
"It's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations,
so the quadrilaterals are not similar."
Answers
Answer:
c
Step-by-step explanation:
The two quadrilaterals LMNR and PQNO are not similar. Timo tried to map one figure onto the other using rotation and dilation methods. He concluded that they are not similar because the rigid transformations like rotation preserve congruence and dilation will not change the shape but it changes its size. So, this results in no congruence.
What is rigid transformation?Rotations, reflections, and translations are known as rigid transformations. They do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.What is dilation?Dilation is not a rigid transformation, since they change the size of a figure. Dilation would not change the shape but changes the sizeThis would give us a similar, but not congruent figure.Here Timo used rotation and dilation on the two quadrilaterals LMNR and PQNO. So, this resulted in a change in the size of the quadrilaterals. Because of this, Timo concluded that "it's not possible to map LMNR onto PQNO using a sequence of rigid transformations and dilations, so the quadrilaterals are not similar".
Learn more about rigid transformations and dilation here:
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To find the quotient of 3 divided by 1/6 multiply 3 by what
Answers
Answer:
I am not fully sure but i think you multiply it by 6
Step-by-step explanation:
Because 3/ [tex]\frac{1}{6}[/tex] is 18 and if you multiply 3 times 6 you get 18
give five equivalent fractions for 4/7
Answers
Answer:
8/14, 12/21, 16/28, 20/35, 40/70
Step-by-step explanation:
Which is true about the polynomial –8m3 + 11m?
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 2.
It is a binomial with a degree of 3.
It is a binomial with a degree of 3.
It is a binomial with a degree of 2.
Answers
Answer:
Binomial with a degree of 3
Step-by-step explanation:
-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.
so the answer is : binomial with a degree of 3
The correct answer is: "It is a binomial with a degree of 3."
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
The polynomial -8m³ + 11m is a binomial with a degree of 3.
A polynomial is an expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and the coefficients are constants.
The degree of a polynomial is the highest power of the variable in the polynomial.
In this case,
The polynomial has two terms, or it is a binomial.
The highest power of "m" in the polynomial is 3, which means that the degree of the polynomial is 3.
Therefore,
The correct answer is: "It is a binomial with a degree of 3."
Learn more about polynomials here:
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Find the value of cos(2.78°) to the nearest hundredth.
Answers
Answer:
cos 2.78 = 1
Step-by-step explanation:
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answers
Answer:
Step-by-step explanation:
slope (m) = 1
y-intercept (c) = - 1
Writing in slope intercept form
y = mx + c
y = x - 1
hope it helps :)
Decimal equivalent of 143%
Answers
Answer:
1.43 as a decimal
Step-by-step explanation:
%143 = 1.43
I dont understand this at all, I need the right anwser and Explanation please.
Answers
Answer:
a = 7; b = ⁷/2
Step-by-step explanation:
Recall the acronym, SOHCAHTOA
We would apply trigonometric ratio formula in finding a and b.
Reference angle [tex] (\theta) [/tex] = 60°
Opposite side to the reference angle = [tex] \frac{7\sqrt{3}}{2} [/tex]
Adjacent side = b
Hypotenuse = a
✔️To find a, we would apply SOH, which is:
[tex] sin (\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin (60) = \frac{\frac{7\sqrt{3}{2}}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{\frac{7\sqrt{3}{2}}{a} [/tex] (sin 60 = √3/2)
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \frac{\sqrt{3}}{2} = \frac{7\sqrt{3}{2a} [/tex]
Cross multiply
[tex] \sqrt{3}*2a = 7\sqrt{3}*2 [/tex]
[tex] 2a\sqrt{3} = 14\sqrt{3} [/tex]
Side both sides by √3
[tex] 2a = 14 [/tex]
Divide both sides by 2
a = 14/2
a = 7
✔️To find b, apply TOA, which is:
[tex] tan (\theta) = \frac{opp}{adj} [/tex]
Plug in the values
[tex] tan (60) = \frac{\frac{7\sqrt{3}{2}}{b} [/tex]
[tex] \sqrt{3} = \frac{\frac{7\sqrt{3}{2}}{b} [/tex] (tan 60 = √3)
[tex] \sqrt{3} = \frac{7\sqrt{3}{2}*\frac{1}{a} [/tex]
[tex] \sqrt{3} = \frac{7\sqrt{3}{2b} [/tex]
Cross multiply
[tex] \sqrt{3}*2b = 7\sqrt{3} [/tex]
[tex] 2b\sqrt{3} = 7\sqrt{3} [/tex]
Divide both sides by √3
[tex] 2b = 7 [/tex]
Divide both sides by 2
b = 7/2
help please, how do I answer these types of questions?
Answers
A line that includes the point (10, 0) has a slope of
5
What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
I need helppppppp !!!!!!! Due in 5 mins
Answers
9514 1404 393
Answer:
y = 1/5x -2
Step-by-step explanation:
When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)
y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form
_____
Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.
if your monthly salary is $2,543, what is your annual salary
Answers
2543 x 12 = 30,516
rep viuen
Write two numbers that multiply to the value on top and add to the value on bottom.
-32
4
Answers
Answer:
8 and -4
Step-by-step explanation:
8*-4=-32
8+(-4)=4
Which statement completes step 6 of the proof?
Coordinate plane with line f at y equals 3 times x plus 1 and line g at y equals negative one third times x plus 1. Triangle JKL is at J negative 1 comma negative 2, K 0 comma 1, and L 0 comma negative 2. Triangle J prime K L prime is at J prime negative 3 comma 2, K 0 comma 1, and L prime negative 3 comma 1.
Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.
Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.
Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.
Step 4 segment JK lies on line f and has a slope of 3.
Step 5 segment J prime K lies on line g and has a slope of negative one third.
Step 6 ?
A. The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
B. The slopes of segment JK and segment J prime K are congruent; therefore, lines f and g are parallel.
C. The product of the slopes of segment KL and segment K L prime is −1; therefore, lines f and g are perpendicular.
D. The slopes of segment KL and segment K L prime are congruent; therefore, lines f and g are parallel.
Answers
Answer:
a) the product of slopes of segment jk and segment j prime k is -1 therefore line f and g are perpendicular
Answer:
The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
Step-by-step explanation:
Just took the test and its correct!! :)
Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?
Answers
Answer:
For this case we can apply the following proportional rule:
Step-by-step explanation:
1/7 nuts. x
------------ = ----------
1/5 cake. cake
and solving for x we got:
x = 1/7
------- = 5/7 nuts
1/5
then the answer for this case would be 5/7 nuts
your welcome
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis.
y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)
Answers
Answer:
[tex]V=47239.2\pi [/tex]
Step-by-step explanation:
We are given that
[tex]y=\sqrt{x}[/tex]
y=0
[tex]x=81[/tex]
When y=0 then x=0
Using shell method
Volume of solid
[tex]V=2\pi \int_{a}^{b}xf(x)dx[/tex]
Using the formula
Volume of solid
[tex]V=2\pi \int_{0}^{81} x(\sqrt{x})dx[/tex]
[tex]V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx[/tex]
[tex]V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}[/tex]
[tex]V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})[/tex]
[tex]V=47239.2\pi [/tex]
Help. I need to take sticky tack off my shoe. What do I do?
Answers
Answer:
Got any Brillo Pads? If not, I suggest scrubbing hard with an abrasive sponge and dish soap, preferably Dawn. WHAT DID YOU DOOO? lol
Step-by-step explanation:
Answer:
hot water and use a butter knife and dig it off
Step-by-step explanation:
get really hot water pour it on the bottom of ur shoe and use the knife to dig it off
hope this works it works for me
have a great day :)
also use dish soap
HELP PLSSSSSS!!! answer all pls
Answers
Answer:
See below.
Step-by-step explanation:
STEP 1: If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.
STEP 2: The terms decrease by 3/16 for each step.
RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16
The operation for increasing by the same amount every step is addition.
The operation for decreasing by the same amount every step is subtraction.
STEP 3: The rule is that the terms decrease by 3/16 at each step.
So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.
Reformat them and you have 1, 13/16, 5/8.
So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.
4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
three shirts cost $200, find the cost of each shirt and sweater.
Answers
Answer:
Form an equation:
let x be the price of a shirt
Then, the price of a sweater would be x - 5
So you would have:
4(x - 5) + 3x = 200
simplify
4x - 20 + 3x = 200
7x - 20 = 200
add 20 to both sides
7x = 220
divide both sides by 7
x = about 31.43
That means the cost of the sweater would be 31.43 - 5 = 26.43
Mary ordered dinner for 10 people.Three people ordered the 4.75 chicken dinner, two people ordered the 4.95 fish dinner and five had beef dinner at cost of 6.75 each. What was the average cost of each dinner at Mary's party
Answers
Answer: 5.79
Step-by-step explanation:
From the question,
3 people ordered the 4.75 chicken dinner. The cost will be:
= 4.75 × 3
= 14.25
2 people ordered the 4.95 fish dinner. The cost will be:
= 4.95 × 2
= 9.9
5 had beef dinner at cost of 6.75 each. This cost will be:
= 6.75 × 5
= 33.75
Total cost will be:
= 14.25 + 9.9 + 33.75
= 57.9
Therefore, the average cost of each dinner at Mary's party will be:
= Total cost / Number or people
= 57.9 / 10
= 5.79
OMG PLS— THIS IS DUE AT 8PM—
Answers
Answer:
so good
Step-by-step explanation:
so good
What is the discriminant of this equation?
3x2 + 8x = 0
Answers
“3x2” means 3x⋅2
“3x^2” means 3x²
3x²+8x = 0
Discriminant = 8²-4(3)(0) = 64
what is laugh???????
Answers
Answer:
Nevetni
Step-by-step explanation:
It meaning hungary : nevetni
Answer:
Expression of people when they are happy
Step-by-step explanation:
Hope it help
Mark brainliest
Thanks
help me pls i need help asap
Answers
Answer:
no babe
Step-by-step explanation:
PLEASE HURRY‼️‼️‼️
A Lime bike charges $2 for
a flat fee plus $0.50 a
minute. A different bike
charges $3.80 for a flat
fee plus $0.20 a minute.
After how many minutes
(x), will the price (y) be
the same for both bikes?
Answers
Answer:
5 minutes
Explanation:
.5x + 2 = y
.2x + 3.8 = y
.5x + 2 = .2x + 3.8
-.2x -.2x
.3x + 2 = 3.8
-2 -2
.3x = 1.8
.3 .3
x = 5
After 5 minutes, both bikes will be at the same price.
50 percent of blank is 30
Answers
Answer:
50%of balnk is 30
the blank is 15 because
50x30/100 gives you what you don't have
so 50x30/100=15
The blank would be 15
Step-by-step explanation:
divided 2) Ellie made $253 for 22 hours of work. She makes $11 per hour so Identify the error:
Answers
Answer:
Ellie should have made 253$ in 23 hours in time. If she worked for 22 hours, then she made 242$.
Step-by-step explanation:
253$ / 11$= 23 hours
22 hours X 11$= 242 hours