Divide the amount spent by the weight:
6.28 / 3/4 = 8.37
Unit price is $8.37 per pound
In 2005 the population of a district was 35.700 with a continuous annual growth rate of approximately 4%, what will the population be in 2030 according to the exponential growth function? Round the answer to the nearest whole numberdo not include the unit in your answer.
Given:
Population is 2005 = 35,700
growth rate = 4% = 0.04
To find:
The population in 2030.
Solution:
The general exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is initial value, r is growth rate and t is time in years.
Let the initial year is 2005. So, number of years between 2005 to 2030 is
[tex]2030-2005=25[/tex]
Putting a=35,700, r=0.04 and t=25 in the above model.
[tex]y=35,700(1+0.04)^{25}[/tex]
[tex]y=35,700(1.04)^{25}[/tex]
[tex]y=35,700(2.665836)[/tex]
[tex]y=95170.3452[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 95,170[/tex]
Therefore, population of the district will be about 95,170.
Amount in 2030 is $95,169
Given that:
Amount invested = $35,700
Growth rate = 4% = 0.04
Time invested = 2030 - 2005
Time invested = 25 year
Find:
Amount in 2030
Computation:
A = P[1+r]ⁿ
Amount in 2030 = 35700[1+0.04]²⁵
Amount in 2030 = 35700[1.04]²⁵
Amount in 2030 = 35700[2.6658]
Amount in 2030 = $95,169
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PLS ANSWER BOTH PARTS FOR BRAINLIEST ANSWER !!
Chelsea is training for a race. From last month to this month, she decreased her average pace in minutes per mile by 12%. Write two different equations to epresent the relationship between p, Chelsea's average
pace last month, and n, Chelsea's new average pace.
Last month, Chelsea ran at an average pace of 7.5 minutes per mile. On average, how long, in minutes,
does it take Chelsea to run one mile this month?
Plz hurry brainliest garrunted
Which diagram represents a fraction equivalent to 75%?
Answer:
the third one, each square is 5%
Answer: C
Step-by-step explanation: 75% is 3/4. C has 20 squares, divided by 4 is 5, and 3 times 5 is 15. And 15 squares is shown in choice C.
Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]
Answer:
(a). 6 ; (b). $5 ; (c). Larry'c ; (d) at time they open their accounts.
Step-by-step explanation:
Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5
Tom's saving habits:
m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6
[tex]y_{T}[/tex] = 12x + 6
(a). $6
(b). $5
(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )
(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?
15x + 5 < 12x + 6
3x < 1
x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.
can someone help me
Answer:
C. y = 4/5x + 2
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
the slope is 4/5, because of rise/run
y-intercept is 2 as the line goes through 2 on the y-axis
Also it's 4/5 not -4/5 because negative means it's going down, the line in this graph is going up hence positive 4/5
in the expression 15- the sum of 6 and. 7 do you add or subtract first
Answer:
Add
Step-by-step explanation:
By the way this question was worded, I'm going to say add. If I were to write the expression out, I personally would write it like this:
[tex]15-(6+7)[/tex]
And parentheses always occur first.
Hope this helps!
10x^3+34x^2+20x
Factor the trinomial
[tex]2x*(5x^{2} +17+10)[/tex] is the answer I think
A boy is shopping at a sports store. He has $11 with which he wants to buy a t-shirt and some tennis
balls. The cost of the t-shirt is $5, and a can of tennis balls cost $2. Which number line represents the
number of cans of tennis balls he can buy?
Answer 3 cans of tennis balls unless there is tax
Step-by-step explanation:
Answer:
He can buy 3 cans of tennis balls sorry my brain is jacked today, so I am sorry if this is not enough
Step-by-step explanation:
what is 8 - 7 1/4 i need the answer fast
Answer:
3/4
Step-by-step explanation:
A map's scale is 2 cm = 35 miles. There are 17 cm between Atlanta and the border
of Georgia and Florida on the map.
How many miles are there between Atlanta and the border of Georgia and Florida?
Help I will make you a brainlist!!
What is the equation of the line with a y-intercept of -3 and a slope of 2?
y=-3x + 2
y = -2x - 3
y= 2x - 3
y= 3x + 2
Answer:
y = 2x - 3
Step-by-step explanation:
y = mx + b
slope is m, so m=2
y-intercept is b, so b= -3
============================================================
Given:-
Slope of the line -> 2Line's y-intercept -> -3To find:-
Equation of the lineRemember, slope-intercept form looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
Where
m stands for the slope
b stands for the y-intercept
in this case, m -> 2, and b-> -3
Plug in the values:-
[tex]\bigstar{\boxed{y=2x-3}[/tex]
=========================================================
note:-Hope everything is clear; if you need clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
40 POINTS PLEASE HELPPPPPPP ME !
Answer:
75/100
=15/20
3/4
The probability is3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Hope this helped have an amazing day!
Given:x-8>-3
Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}
Step-by-step explanation:
x - 8 > -3
x > -3 + 8 (add 8 to both sides)
x > 5
Hence 3.{x|x€R,x>5} is correct.
Need help with this!!!
Answer:
I'm gonna say 4 because 6 divided by 3 is 2
300/3x6
A,580
B.600
C601
D620
Answer:
B. 600
Step-by-step explanation:
300 / 3 = 100
100 x 6 = 600
Find the midpoint of the hypotenuse.
I need help with this homework
please help and give details!!
Answer:
The answer is A.
Step by step explanation
x²-1
Where
Roots (-1,0) (1,0)
Domain x€R
Range f(x)€ [-1,+infinity]
Minimum (0,-1)
Vertical intercept (0,-1)
how do you write a linear equation when given a graph or table? and how do you analyze key features of a function when given its graph?
please help thanks in advance
Answer:
43.25
Step-by-step explanation:
Since sides DF and FE are congruent, their opposite angles D and E are also congruent.
m<D + m<E + m<F = 180
x + x + 93.5 = 180
2x = 86.5
x = 43.25
Answer: 43.25
why are y'all doing school work so late
Answer:
fr
Step-by-step explanation:
its 1 am for me but I'm just bored and answering peoples questions lol but it's weird that they are doing school work now I was thinking that but was like oh well lol
Evan used half his paycheck for his car payment, then $125 for groceries. If he has $215 left, how much was his paycheck.
Answer:
680 dollars
Step-by-step explanation:
.5x - 125 = 215
.5x = 340
x = 680
2.5 gal/min=____ quart/hour
Answer: 600
Step-by-step explanation:
Jordan is running a race that is 13 miles long. From his training, he knows that it takes him 72 minutes for every 12 miles he runs and he runs each mile in the same amount of time.
How long will it take for Jordan to run the 13th mile in the race (assuming he runs at the same speed as the first 12 miles)?
Answer:
78 minutes
Step-by-step explanation:
72/12=6
6*13=78
A baseball diamond is 90 feet square (NOT 90 square feet!). Coach Jack Handley runs from first base to second base at 25 feet per second. How fast is he moving away from home plate when he is 30 feet from first base (Problem #3)? How fast is he moving away from home plate when he is 45 feet from first base (Problem #4)? Answers should be expressed in terms of feet per second.
Answer:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
Please help I needa finish this
Answer:
i think its d
Step-by-step explanation:
if you look up quadrilaterals you find shapes like rectangles, squares, and diamonds. if you look up parallelograms you find the same thing, so i think it's d. sorry if im wrong i havent done this stuff in a while
Answer:
I am sure the answer is C, if not I'm very sorry
5x +12=27
Solving a 2-step equation
Answer:
x = 3
Work below
Step-by-step explanation:
5x + 12 = 27
-12. -12
5x = 15
/5 /5
x = 3
Hope this helps!!
Answer:
3
Step-by-step explanation:
5x+12=27
subtract 12 from 12 and 27 to cancel the 12 you wan your number that has a letter by its self 12-12=0 12-27=15 then you divide what ever number that has a number by whatever number your left with so 15/5=3
Which fraction is equivalent to 2/4
Answer: 1/2
Step-by-step explanation:
2/4=1/2
Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.
Step-by-step explanation:
a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages
Let's assume the sons age as x.
Age of the man is 2x
Five years ago,
The man's age=9x
The sons age=4x
Then find the equation.
hope it was helpful.
I am not solving all cuz that u understand how to frame a equation.
Where were the two cars in relation to each other when they began traveling?
brainliest if helpful ^^
Answer:
The answer is A.
Step-by-step explanation:
As can be seen in the graph, car B starts at the "20" mark on the vertical axis, signifying that it starts 20 miles east of car A.
Hope this helped!
Answer:
Here you go sweetheart!
Step-by-step explanation: