Answer:
This model predicts that population will be 315,842 in 9 years.
Step-by-step explanation:
Let the population of the city be represented by the function [tex]p(t) = 385,000\cdot e^{-0.022\cdot t}[/tex], where [tex]t[/tex] is the number of years from the present. The negative exponent means that such city is expected to experiment a sustained decrease. The predicted population in 9 years is determined by evaluating the function at [tex]t = 9[/tex]:
[tex]p(9) = 385,000\cdot e^{-0.022\cdot (9)}[/tex]
[tex]p(9) = 315,842.394[/tex]
[tex]p(9) = 315,842[/tex]
This model predicts that population will be 315,842 in 9 years.
A point-slope form of a line that has a slope of 4 and goes through (2, 1) is...
Answer:
[tex] \huge \orange{y - 1 =4(x - 2) } \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 1 = 4(x - 2)[/tex]
Hope this helps you
(1) prove that: 1 + 4 + 7 +………+ (3n – 2) = (3n – 1). ( n ≥ 1 )
The statement as given is not true. For n = 1, the left side is just the first term, 1, while the right side would be 3(1) - 1 = 2, and 1 ≠ 2.
I think what you meant to write was the equation
1 + 4 + 7 + ... + (3n - 2) = 1/2 n (3n - 1)
which can be easily proved by induction.
For n = 1, we have
1 = 1/2 (1) (3(1) - 1) → 1 = 1
which is of course true.
Now for the inductive step. Assume the equation holds for n = k, so that
1 + 4 + 7 + ... + (3k - 2) = 1/2 k (3k - 1)
and use this to show it holds for n = k + 1.
We would have
1 + 4 + 7 + ... + (3k - 2) + (3(k + 1) - 2)
which reduces to
1/2 k (3k - 1) + (3k + 1)
3/2 k² + 5/2 k + 1
1/2 (3k² + 5k + 2)
1/2 (k + 1) (3k + 2)
which is precisely what the formula gives on the right side for n = k + 1. QED
Need help with slope and y-intercept 7th grade
Answer: The second one y= 1.6x-5
Step-by-step explanation: I am in the 8th grade and learn this last week. You probably live in a different country. btw can i have brainliest?
Write an equation in point-slope form of the line having the given slope that contains the given point. m = -2, (4, -2)write an equation in point slope form of the line having the given slope that contains the given point m equals negative 2, (4,-2)
Answer:
Point-slope form: y+2=-2(x-4)
Please answer please fast
Answer:
c
Step-by-step explanation:
Answer:
As sample size increases, the margin of error decreases. As the variability in the population increases, the margin of error increases. As the confidence level increases, the margin of error increases.
so c i think
Step-by-step explanation:
which is the solution to the equation 0.5x+4.2=5.9
Answer:
x=3.4
Step-by-step explanation:
you want to subtract 4.2 from 5.9 so it will be 1.7. Then 1.7/0.5 and it will be 3.4
hope this helped
uhh jus look at the picture
Find f(2) if f(x) = 2x + 1
Answer: f(2)=5
Step-by-step explanation:
f(2)=2(2)+1=5
f(2)=5
A 29 foot ladder leans against a building so that the angle between the ground and the ladder is 77º. How
high does the ladder reach up to the side of building? Round to one decimal place.
ft
Answer:
5 √ 10 + 2 √ 5 ft high
Step-by-step explanation:Explanation:
Let h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20
h
=
20
sin
(
90
∘
−
18
∘
)
=
20
cos
18
∘
=
20
(
√
10
+
2
√
5
4
)
=
5
√
10
+
2
√
5
Need help asap isnt too hard i just dont understand
the is a. 21
Two Angles are Complementary when they add up to 90 degrees (a Right Angle).
The length of a diving board is 378 cm what is the length in meters?
mark brainliest
Answer:
3.78
Step-by-step explanation:
378/100 =3.78
100cm=1meter
Question 3
If the sales tax for the city of Los Angeles is 9,75%, how much tax would you pay for an item that costs $500.00?
Answer:
$48.75
Step-by-step explanation:
500.00 x 9.750=$48.75 sales tax
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answer:
46 jumps per minute
Step-by-step explanation:
TO find the number of jumps per minute, just divide the number of jumping jacks in 4 minutes by 4 and that equals 184/4 = 46
Answer: 46
Step-by-step explanation:
A project has an initial cost of $55,000, expected net cash inflows of $10,000 per year for 12 years, and a cost of capital of 11%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round intermediate calculations. Round your answer to the nearest cent.
Answer:
NPV= $9,923.56
Step-by-step explanation:
Giving the following information:
Initial cost= -$55,000
Cash flows= $10,000
Cost of capital= 11%
To calculate the net present value, we need to use the following formula:
NPV= -Io + ∑[Cf/(1+i)^n]
First, we need to discount the cash flows:
PV= Cfn / (1+i)^n
Cf1= 10,000/1.11= 9,009.01
Cf2= 10,000/1.11^2= 8,116.22
Cf3= 10,000/1.11^3= 7,311.91
......
Cf12= 10,000/1.11^12= 2,858.41
Total PV= $64,923.56
Now, the NPV:
NPV= -55,000 + 64,923.56
NPV= $9,923.56
What is 13758 to the nearest 10
Answer:
13760
Step-by-step explanation:
Jean junction is selling jeans at $25.00 and the tax sale rate is 8.25%. What is the total price you will pay
answer:
Amount of sales tax ≈ $2.06 dolla
Price with sales tax ≈ $27.06 dollars
8.25% × 25 =
8.25/100 × 25 =
0.0825 × 25 =
2.0625=
2.06;
Nikki’s Pizza Joint charges $14 for a super-duper cheese pizza and $2 for each extra topping. How many toppings can you order for $25?
Answer:
5 toppings
Step-by-step explanation:
The formula is y=2x+14 with x being the number of toppings and y the total price.
Plug in 25 as y to see how much x would be at that price.
25=2x+14
11=2x
x=5.5
You can't get half of a topping so you would have to round down to 5 toppings.
Answer:
you can order 4 toppings but if you wanted a specific answer, it would be 5.5
Step-by-step explanation:
you have 25, subtract 14, you have 11, divide 11 by 2, you get 5.5 but you cant get half so you have 4 if you round it
Ángel runs 3 per day what is the relationship between the number of days and how many miles he has run
Answer:
1:3, for every day he runs 3 miles
1:3
2:6
3:9
ect
Answer:
depending on how many days he runs you multiply by three see since he only ran one day he only ran 3 miles lest say he ran for 5 days in a row he has ran 15 miles in total because 5x3=15 so the equation would be 3x
Step-by-step explanation:
HELP THIS IS MY LAST QUESTION ! <3
The weight of an object on the moon varies directly as its weight on earth. A person who weights 27.4 lb on the moon weights 164.4 lbs on earth. How many pounds would be a 270 lb person weigh on the moon?
Answer:
45 lb
Step-by-step explanation:
You can simple use unitary methods.
It is a simple visualization:
27.4 on moon = 164.4 on earth
(27.4/164.4) on moon = 1 on earth
270(27.4/164.4) on moon = 270 on earth
45 on moon = 270 on earth
Or, use, unitary method,
=> 164.4/27.4 = 270/x
=> x = (270 × 27.4)/164.4
=> x = 45
Or, use the concept "weight becomes 1/6 of the real one(of that on earth)".
270 lb on moon = 270/6 = 45 lb
Find the measure of each acute angle.
xo
(3x + 2)°
(3x + 2) =
and
PLEASE HURRY THIS IS A TEST !!!
Answer:
x = 22
3x + 2 = 68°
Step-by-step explanation:
x + 3x + 2 = 90° because this is a right triangle
3x + 2 = 90
4x = 88 divide by 4
x = 22
3x + 2 replace x with the value we found
3×22 + 2 = 68°
How do you solve y=6x+8
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes △STU ~ △SVW?
Answer:
(2,0)
Step-by-step explanation:
it is
Answer:
(2,0)
Step-by-step explanation:
At a neighborhood cookout,
the ratio of children to adults
is 7:2. If there are 10 adults,
how many Total people are at
the cookout?
Answer 45
Step-by-step explanation:
Because 2 times 5 is 10 so 7 times 5 is 35 then add them together.
Nick Nora & Nancy have pets. One has a kitten, one has a puppy, one has a gerbil. Nora has a gerbil. Nancy is a cousin of the person with the kitten. Who has the puppy?
Answer:
Nick
Step-by-step explanation:
NICK HAS THE KITTEN BECAUSE NORA HAD A GERBIL AND NACY IS THE COUSIN OF THE PERSON WITH THE KITTEN SO THAT WOULD MEAN NANY HAS A PUPPY.
(800x800) plz help
gggggggggggggggg
Answer:
640000 is the answer ggggg
Answer:
640,000
Step-by-step explanation:
All you have to do is do 8 times 8 then add 4 zero's to your answer of 64 now when you add the zero's you get 640,000
A scale drawing has a ratio of 1:75 what does this ratio mean
Answer:
it means it could be this 1/75 or 1 to 75
Step-by-step explanation:
.
Which relation is not a function?
What is the measure of the angle BAC
62°
A
0 x
С
132°
(Here's a free one )
In the example shown, would you get the same sum if you used 12 as the common denominator? Explain. Alex rode his scooter from his house to the park. Later, he rode from the park to baseball practice. How far did Alex ride? ( 1/2 mile to the park from the house and 1/3 mild from the park to baseball practice)
Answer:
5/6
Step-by-step explanation:
Anita went to the store with her friend Myra, she paid $60 for 3 blouses. She bought 2 blouses for herself and one blouse for Myra. How much money does Myra owe Anita for one blouse?
Answer:
20 because she paid 20 for each shirt
Step-by-step explanation:
60/3=20
