Answer:
b. P = 56,382(1+0.012)^t
The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The population P after 2010 is an exponential growth function of the form:
[tex]P = P_{0} (1 + r)^t[/tex]
where P₀ is the initial population,
r is the annual growth rate as a decimal, and
t is the time in years.
Byu given information P₀ = 56,382,
r = 0.012, and
t is the number of years after 2010.
The equation that defines the population in Smalltown t years after 2010 is:
[tex]P = 56,382(1 + 0.012)^t[/tex]
Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]
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Find the domain and range of the function:
fx) = -√5-x-3
Domain:
Range:
DONE
Answer:
Domain: [tex]x\leq 2[/tex]
Range: (∞,0)
Step-by-step explanation:
List three different combinations of coins, each with a value of 30% of a dollar
Answer:
1 Quarter + 1 Nickel , 3 Dimes , 30 Pennies , 15 Pennies + 1 Nickel + 1 Dime , 10 Pennies + 2 Nickels + 1 Dime ... There are many different ways to make 30 cents with certain coin combinations.
Step-by-step explanation:
Find the solution set of the inequality
- 4x +35> 2−4x+35>2minus, 4, x, plus, 35, is greater than, 2
xxx
Answer:
[tex]\boxed{\textsf{ Hence the solution set is$ \bf{\bigg( \dfrac{33}{4},\infty \bigg) }$}}.[/tex]
Step-by-step explanation:
A inequality is given to us and we need to find the solution set. So the given inequality to us is ,
-4x + 35 >2[tex]\bf\implies -4x + 35 > 2 \\\\\bf\implies -4x > 2-35 \\\\\bf \implies -4x > -33 \\\\\bf \implies x >\dfrac{-33}{-4}\\\\\bf \implies x > \dfrac{33}{4} \\\\\bf\implies \boxed{\pink{\bf x \in \bigg(\dfrac{33}{4}, \infty \bigg) }}[/tex]
★ Hence the solution set is x € ( 33/4 , ∞ ).Answer:
Step-by-step explanation:
5
Find the measure of the indicated angle
Answer:
36°
Step-by-step explanation:
(6x)° + 54° = 90°
(complementary angles)
(6x)° = 90°- 54°
(6x)° = 36°
Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.
Answer:
x < 11
Step-by-step explanation:
Taking the problem piece by piece;
five is greater than
5 >
the result of taking six away from x
x - 6
Solve for x;
5 > x - 6
5 + 6 > x
11 > x
x < 11
Point A is located at (-1.4). Point B is located at (3,2). What is the slope of the line that passes through these two points (Make sure your slope is
reduced, if possible)?
6
Answer:
Y = -1/2x + 7/2
Step-by-step explanation:
slope = -1/2
Write the equation 3x+2y=8 in general form. SHOW YOUR WORK PLEASE
Answer:
3x+2y-8=0
Step-by-step explanation:
The equation 3x+2y=8 in general form is 3x + 2y - 8 = 0 respectively.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
We are given that the equation 3x+2y=8.
The equation of straight line is written as y = mx + c
3x+2y=8.
2y = 8 - 3x
y = 8/2 - 3/2x
y = 4 - 3x/2
Hence, the general form is 3x + 2y - 8 = 0.
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In triangle ABC, ∠Ais a right angle and m∠B=45°. Fnd BC. Give EXACT answer. (Hint: Exact means the radical form.)
I need help with a few trig questions
HELPPP IT'S DUE IN 30 MINUTES I"LL MARK YOU THE BRAINLIEST!!!
You are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception. You want to fill each pouch with of a cup of confetti, and you have a total of 210 fluid ounces of confetti. You need enough pouches for 120 guests.
Which equation can you use to determine whether you have enough pouches for 120 guests?
number of pouches = 210 +
number of pouches = 210 –
number of pouches = 210 × 8 ×
number of pouches = 210 ÷ 8 ×
number of pouches = 210 ÷ 8 ÷
Answer:
you have 26 cups so i think its the 4th one or the 5th one
Step-by-step explanation:
Hope this helps!
(6b+9)–(6b+5)
.
.
.
.
.
.
.
.
Answer:
4
Step-by-step explanation:
If 12x – 20 =
10x + 20 what is the value of 3x ?
Answer: 3x=60
Step-by-step explanation:
12x-20=10x+20
X=20
3(20)= 60
1. How many groups of days are in 1 week?
Write a division equation to represent the question.
Type your equations in the box below.
Answer:
(14 groups)
14 divided by 7 = 2
Therefore 14 is your answer
Step-by-step explanation:
lol that's all I got
Find the Surface Area of the following figure:
16 ft
10 ft
7 ft
Answer:
1120
Step-by-step explanation:
Triangular prism please help
Answer:
C
Step-by-step explanation:
50,60,72 find the 8th term airthmetic and geometric sequence
Answer:
8th term is 179.15904
Step-by-step explanation:
The sequence is geometric with a common ration = 6/5
r = 60/50 = 72/60 = 6/5
Use the formula
[tex]a_{n} = ar^{n - 1}[/tex]
In your case a = 50, r = 6/5 and n = 8
[tex]a_{8} = 50(6/5)^{8 - 1} \\ = 50(6/5)^{7} \\ = 50(279936/78125)\\ = 179.15904[/tex]
7 more than twice z ..............................................................
Answer:
2z+7
Step-by-step explanation:
2*z+7
2z+7
A biologist estimates that the human body contains 90 pounds of water for every 100 pounds of body weight. At the rate estimate the number of pounds of water in a child who weighs 80 pounds
Answer:
72 lb
Step-by-step explanation:
Write and solve an equation of ratios:
80 pounds x
----------------- = ------------------
100 pounds 90 pounds
Cross multiplying, we get (100 pounds)x = 7200, or x = 72 pounds.
The 80 pound child's weight includes 72 pounds of water.
solve the following equation
3(y – 2) + 2y = 9
Answer:
3( y - 2) + 2y =9
Step-by-step explanation:
It equals 3.
Answer:
y=3
Step-by-step explanation:
3(y-2)+2y=9
3y-6+2y=9
Isolate the variable y by transposing
3y+2y=6+9
5y=15
Simplify
y=3
Solve each equation. Leave the answer as an improper fraction. 16x^2 = 49
Answer:
7/4
Step-by-step explanation:
Answer:
The Answer would be 7/4 as an Improper fraction
Step-by-step explanation:
Solve the equation: 12(x + 8) = 11x - 5 What is the solution?
Answer:
We conclude that the solution is:
[tex]x = -101[/tex]Step-by-step explanation:
Given the equation
[tex]12\left(x\:+\:8\right)\:=\:11x\:-\:5[/tex]
Expand 12(x + 8): 12x + 96
[tex]12x+96=11x-5[/tex]
Subtract 96 from both sides
[tex]12x+96-96=11x-5-96[/tex]
Simplify
[tex]12x=11x-101[/tex]
Subtract 11x from both sides
[tex]12x-11x=11x-101-11x[/tex]
Simplify
[tex]x=-101[/tex]
Therefore, we conclude that the solution is:
[tex]x = -101[/tex]Franco said that when the speed and distance are known,you only have to multiply them to get the time. Is Franco's statement correct? Explain why or why not.
Answer:
No, you have to divide
Step-by-step explanation:
Speed = distance/time
distance/speed = time
A fence is to be enclosed around a square park of side 15m. Atleast how many metres of fencing are needed?
Answer: 60 m
Step-by-step explanation:
The park is said to be square which means that all of its sides are equal.
If the fence is supposed to be put around the park, it is an indirect question asking for the perimeter of the square.
Perimeter of a square:
= 4 * length
= 4 * 15
= 60 m
simple math true and false. not that hard. 11th grade math though
Answer:
True
Step-by-step explanation:
If my eyes don’t fail me, it‘s true.
Sorry in advance if it’s wrong :<
Answer: True
Step-by-step explanation:
Which equation has the same solution as x^2+10x+9 = 4
If you like vampire diaries plz tell me DAMON OR STEFAN......
Answer:
i like both of them
Step-by-step explanation:
a metal pipe is 77 cm long the inner diameter of the cross section is 4 cm and the outer diameter is 4.8 cm find the (i) inner curved surface area (ii) outer curved surface area (iii) total surface area
Answer with full step by step explaination
Answer:
Step-by-step explanation:
outer area=
first need to find the circumference of outer diameter
= π×4.8
= 15.079644.... cm
to find the outer curved area you would then do
= 77×15.079644
(ii) =1161.13264 cm²
inner curve area
circumference= π×4
=12.5663706.... cm
77×12.5663706
(i) =967.610537 cm²
total surface area=
as the outer and inner curved areas are already found only the top and bottom surfaces need to be
= area of larger circle
=π×4.8²
=72.382294.... cm²
smaller circle
=π×4²
=50.2654824.... cm²
72.382...-50.265
=22.1168116 x 2
=44.2336232 cm²
total surface area
(iii)= 2172.9768 cm²
(round this to however many decimals you need)
I hope this is understandable and useful!
also how many marks is this for?
X, Y and Z are partners in a firm in the ratio of 1/2 :1/3:1/6
Y retires from business and
X and Z purchase his share of profit in the ratio of 3:2. Find out new ratio
Answer:
6:2
Step-by-step explanation:
X share from old ratio is 1/2
Y share from old ratio is 1/3
Z share from old ratio is 1/6
Now, we are told Y retires and that X and Z purchase his shares.
Thus;
Amount X took from Y = 1/2 × 1/3 = 1/6
Amount Z took from Y = 1/6 × 1/3 = 1/18
Thus, new share of X is now; 1/6 + 1/2 = 2/3
New share of Z is now; 1/18 + 1/6 = 4/18 = 2/9
Ratio is now X:Z = 2/3 : 2/9 = 6:2
Hi could you help pls it is due tonight at 11:59 and its 10:47
Answer:
The slope is 1 or 1/1
Step-by-step explanation:
Solve it by using rise over run.
Hope this helps! :)
Help ASAP Glven the system of equations, what is the value of the system determinant?
2x+y=8
X-y=10
y=4x+3
2x-3y=21
SHOW YOUR WORK
Step-by-step explanation:
y = 4x+3
2x-3y = 21
2x -3(4x+3) = 21
2x -12x -9 = 21
-10x = 21 + 9
-10x = 30
x = -3