The population of a certain city be modeled by y=7870(1.01)^x where x is the number of years since the city was founded and y is the population.
Answers
Answer:
B.
Step-by-step explanation:
We are given the function:
[tex]y=7870(1.01)^x[/tex]
Which represents the population of a certain city x years after it was founded.
The y-intercept is the y-value when x = 0. So:
[tex]y(0)=7870(1.01)^0=7870(1)=7870[/tex]
If x = 0, this means that zero years have passed since the city was founded.
So, the y-intercept represents the initial amount of people when the city was founded (in this case, there were 7870 people).
The correct answer is B.
Related Questions
if the length of the longest side of the rectangle is 20cm find the shaded area to the nearest hundredth PLEASE HELPP !
Answers
Answer:
150pi
Step-by-step explanation:
lets just say the two circles are 10 and 10 in diameter. so, one square is 5 radius. The square is 25pi area. so two are 50pi area. the area of the rectangle is 200, so 150pi
Please tell me if I'm wrong D:
Maggie has $15.00 and will begin earning an allowance of $10.00 per week. Jess has $5.00 and will begin earning an allowance of $15.00
per week.
When will maggie and jess have the same amount of money and how much money will they have?
PLEASE HELP
Answers
maggie originally had $15.00 so her $10.00 allowance times two weeks allowance equals $35
jess originally had $5.00 so his $15.00 allowance times 2 weeks equals 35
x^(2)-7x=44 solve for x-intercepts.
Answers
Answer:
-4, 11
Step-by-step explanation:
X-intercepts occur at y=0:
x^2-7x-44=0
(x-11)(x+4)0
so we have -4 and 11.
Let f(x) = -x + 3
Find f(2)
f(3)=
Answers
Answer:
1
Step-by-step explanation:
f(2) = -2+3
=1
Solve the equation. Check your solution and show all your work.
very confused about this and how to execute it to be honest
Answers
Answer:
t = 19 1/4
Step-by-step explanation:
24 1/2 = t + 5 1/4
49/2 = t + 21/4
t + 21/4 = 49/2
t = 49/2 - 21/4
t = 98/4 - 21/4
t = 77/4
t = 19 1/4
24.5 = t + 5.25
subtract 5.25 from both sides
19.25 = t
19.25 = 19 1/4
Carson drew a line perpendicular to the x-axis through (7,-3). What is its equation and its slope?
Answers
Answer:
equation is x = 7
slope is undefined
Step-by-step explanation:
Answer:
perpendicular to the x-axis means a vertical line. So, all of its points have x-coordinate of 7
The slope of vertical lines is undefined.
Step-by-step explanation:
Henry picked 278 pears. He is putting the pears in a boxes that each hold 50 pears how many boxes will be able to fill completely
Answers
Answer:
278 divided by 50 is about 5 and a half so 5 would be your answer because he is completely filling 5 boxes.
A group of five friends goes to a show each ticket cost nine dollars and the friends share popcorn the cost six dollars which shows the total cost?
Answers
Answer:
9x5+6
Step-by-step explanation:
5 people x $9 ticket + the $6 popcorn
plz help
use The information provided to answer the following questions
Answers
By evaluating the derivative with respect to t of the height function h(t),
which is h’(t)=-2t+4,
we can find the turning point of the quadratic graph by solving h’(t)=0.
-2t+4=0
t=2
Therefore, we can know that when t=2, Sally’s potato attains its maximum height, which is
-(2^2)+4(2)+5
=9
Given that Sam’s potato has been 10 unit high, Sam’s potato went higher than Sally’s did.
=======================
Part B
Note that the for all t where h(t)>0, the potato is still in the air.
So all we need to do is to solve h(t)>0.
-t^2 + 4t + 5 > 0
t^2 - 4t - 5 < 0
(t + 1)(t - 5) < 0
Therefore we get -1 < t < 5.
But t represents time so it can’t be negative.
So the overall solution is 0 < t < 5.
Therefore the total flying time of Sally’s potato is 5 units.
Because the flying time of Sam’s potato is 3.5 units,
Sally’s potato stayed in the air longer.
8th grade math, please help.
Answers
Answer:
x=25
Step-by-step explanation:
It is because it alternates with the angel m<25⁰
HOPE IT HELPS
Answer:
X=, 25°
Because alternative interior angles are equal
Is a 20% markup equal to a 20% markdown
Answers
Answer:
no
Step-by-step explanation:
Answer:
no because markup is going up/ increasing and markdown is going down (decreasing)
Step-by-step explanation:
Pleaseee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
4
Step-by-step explanation:
In a parallelogram AO and OC are equal. Therefore you should set up the equation 3x-4=8. When you add 4 to both sides you get 3x=12. When you divide both sides by 3 you get x=4
Given isosceles ABC, median BD to base AC. Prove ADB=CDB. AB=, AD=, BD=, ADB=
PLEASE GIVE IN A STATEMENT REASON
Answers
Answer:
1. AB=CB def of isosceles triangle
2. AD=CD DEF of median
3. BD=DB reflexive property
4. ADB=CDB SSS
Step-by-step explanation:
ummmm its just the right answer trust
Answer: 102
Step-by-step explanation: math
In PITI what does P stand for?
O A. Principal
O B. Prepayment
O C. Payment
O D. Penalty
Answers
Answer:
O A. Principal
Step-by-step explanation:
happy to help ya :)
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
Answers
In the above figure, m∠A = 32° and m∠B = (2x + 14)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B? A. x = 22, m∠B = 44° B. x = 22, m∠B = 58° C. x = 67, m∠B = 148° D. x = 54, m∠B = 58°
Answers
Complementary angles have a sum of 90
32+2x+14=90
2x+46=90
2x=44
x=22 the second angle is 58
2(22)+14=58
2x + 8y = 28
2x + 8y = 29
e?
Answers
Answer:
The question is unclear. what is e?
Find the measure of the indicated angle to the nearest degree
A) 18°
C) 48°
B) 42°
D) 26°
Answers
Answer:
The answer is option C
Step-by-step explanation:
To find the indicated angle we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 37
The hypotenuse is 41
So we have
sin ? = 37/41
? = sin-¹ 37/41
? = 64.4805
? = 64° to the nearest degree
Find AE if AB=12, AC=16, and ED=5.
Answers
Answer:
the ratio is 12:16=3/4
So AE:5+AE=3/4
4AE=15+3AE
AE=15
Step-by-step explanation:
The length of the line segment AE is 15 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In a triangle if one segment is parallel to one side of a triangle divides the other two sides in the ratio of their corresponding lengths.
Given, AB = 12, AC = 16 and ED = 5, hence BC = AC - AB = 4.
Therefore, AB/BC = AE/ED.
12/4 = AE/5.
4AE = 60.
AE = 15 units.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
Ruby is buying chocolates for her friends. The candy store charges $13.80 for a box of chocolates, and each additional piece of chocolate costs $0.23. Ruby has $21 to spend. She buys x additional pieces along with a box of chocolates.
Which inequality correctly represents the given situation?
A.0.23x + 21 ≤ 13.8
B.13.8 + 21 ≤ 0.23x
C.13.8 + 0.23x ≤ 21
D.13.8 + 0.23x ≥ 21
Answers
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
hope I helped!!
Let me know if you need an explanation:)
The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The length and side of each rectangle can be represented as a difference of squares. What is the perimeter of one of the rectangles?
Answers
Answer:
[tex]Perimeter = 12y[/tex]
Step-by-step explanation:
Given
[tex]Area = 18y^2 - 8[/tex] -- two rectangles
Required
Determine the perimeter of one of the rectangles
First, calculate the area (A) of 1 rectangle
[tex]A =\frac{1}{2}Area[/tex]
[tex]A =\frac{1}{2}(18y^2 - 8)[/tex]
[tex]A =9y^2 - 4[/tex]
Express as difference of two squares
[tex]A =(3y - 2)(3y+2)[/tex]
Area is calculated as:
[tex]A = Length * Width[/tex]
So, by comparison:
[tex]Length = 3y - 2[/tex]
[tex]Width = 3y + 2[/tex]
The perimeter is:
[tex]Perimeter = 2 *(Length + Width)[/tex]
[tex]Perimeter = 2 *(3y-2+3y+2)[/tex]
Collect Like Terms
[tex]Perimeter = 2 *(3y+3y-2+2)[/tex]
[tex]Perimeter = 2 *(6y)[/tex]
[tex]Perimeter = 12y[/tex]
Mr Nicolo goes on a diet. At the start of the diet he weighs 89.2 kg. He wants to weigh 72.5 kg.
After one month he has lost 4.6 kg. How much more does he have to lose?
Answers
Answer: 80.6 kg
Step-by-step explanation:
Find the slope of the line passing through the points (7, 7) and (7, -8) find the slope of the line passing through the points (-6, 7) and (9, 7)
Answers
Step-by-step explanation:
to work out gradient
change in y ÷ change in x
first lines gradient
(7 - - 8) ÷ (7 - 7) = 0
second lines gradient
(7 - 7) ÷ (9 - - 6) = 0
need help................
Answers
827537517172763 kahvxjx
If the ratio of tables to chairs in the school cafeteria is 2 to 5 and there are 154 total objects, how many chairs are there?
A) 110
B) 44
C) 116
D) 120
Will give BRAINLIST
Answers
Answer: The ratio of tables to chairs is 44 chairs.
At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole
casts a shadow that is 9 feet long. How tall is the flagpole to the nearest foot?
A.4 feet
B.7 feet
С.8 feet
D.19 feet
Answers
Answer:
D 19 feet
Step-by-step explanation:
Let x = height of flagpole
tan 65 = x/9
9tan 65 = x
x = 19.3 ≅ 19 ft. to the nearest foot
What is the y-coordinate for the solution to the system of equations?
{y=1/2x−4
{y=−2x+1
Answers
Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
the crowd at a sporting event is estimated to be 3000 people. the exact attendance is 2486 people. what is the percent error? pls help :)
Answers
Answer:
%error is the difference between the expected and actual 3000-2486=514 514/3000= 17.33% errorI need help on this question please!
Answers
Answer:
150
Step-by-step explanation:
5^2=25
6 times 25=150
Hope I helped!
9/14 decimal rounded to the nearest hundredth
Answers
Answer:
It's 0.64 you really couldn't just look this up?
Step-by-step explanation:
just put 9 divided by 14 in your calculater and round