Given:
Initial population = 100 algae
Growth rate = 30% per day.
Time = 5 days
To find:
The future amount of population.
Solution:
The exponential growth model is
[tex]y=a(1+r)^t[/tex]
where, a is the initial value, r is the rate of interest in percent and t is time period.
Substituting the given values, we get
[tex]y=100(1+\dfrac{30}{100})^5[/tex]
[tex]y=100(1+0.30)^5[/tex]
Now, solve this.
[tex]y=100(1.30)^5[/tex]
[tex]y=100(3.71293)[/tex]
[tex]y=371.293[/tex]
Therefore, the future value is 371.293 algae.
Answer:
Future amount rounded = 371
Step-by-step explanation:
I = Initial population = 100 algae
R = Growth rate = 30% per day.
T = Time = 5 days
[tex]Future Amount = I(1+r)^{t\\[/tex]
[tex]Future Amount = 100(1+0.30)^{5}[/tex]
[tex]Future Amount = 100(1.30)^{5}[/tex]
Future Amount = 371.293 = 371
I’m having doubts about my answer can someone help me?
Write an algebraic expression for 2 less than one-third of the points the Panthers scored.
I put (1/3•p) - 2
Is that correct?
I’ll give brainliest
Is it bad to have a math assignment you don't get?
Answer:
Yes, if yo get an assignment that you don't get, ask the teacher to explain it to you.
Step-by-step explanation:
Is the following number rational or irrational?
– 1
Choose 1 answer:
A
Rational
B
Irrational
Answer:
B.
Step-by-step explanation:
Irrational as π is irrational.
I need help ASAP please help me
Answer:
y=2x
Step-by-step explanation:
It goes up by 2 units every x value so
Answer:
y=2x is your correct answer
Step-by-step explanation:
Plz help I am failing in math and only have a week!!
Answer:
11. Slope of the line is 7/10.
12. Slope of the line is [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
11. Given points are:
(-6, 1) and (4, 8)
Slope of a line is given by the formula;
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{8-1}{4-(-6)}[/tex]
m = [tex]\frac{7}{4+6}[/tex]
m = [tex]\frac{7}{10}[/tex]
Slope of the line is 7/10.
12. Given points are:
(2, -3) and (5, -4)
Slope of the equation is;
m = [tex]\frac{-4-(-3)}{5-2}[/tex]
m = [tex]\frac{-4+3}{3}[/tex]
m = [tex]\frac{-1}{3}[/tex]
Hence,
Slope of the line is [tex]-\frac{1}{3}[/tex].
Mary wins £400.
She gives 50%- to her mother.
Many gives 20%, to her sster
She keeps the rest
Work out how much each person receives
What will be the answer in the finish box
Answer:
Step-by-step explanation:
In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4
In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25
In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17
In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6
In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13
Please help on this will mark the first answer brainliest
Answer:
The equation is 3n + 13 = 40 The triplets are 9 years old
Step-by-step explanation:
I need help on all of number 2!!!!
9514 1404 393
Answer:
a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞
Step-by-step explanation:
Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.
If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.
__
a) -2x -10 = -6x +4x -8 ⇒ -2x -10 = -2x -8 . . . . 0 solutions
b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution
c) -1/4x -7/2 = -3x -4 . . . . 1 solution
d) 2x -8 +x = 3x -6 -2 ⇒ 3x -8 = 3x -8 . . . . ∞ solutions
e) 3 -2/5x -12/5 = 2 -2/5x ⇒ -2/5x +3/5 = -2/5x +2 . . . . 0 solutions
f) 6x -6 +21 = 6x +15 ⇒ 6x +15 = 6x +15 . . . . ∞ solutions
Answer:
a)3x+7x-8=18
3x+7x=18+8
10x=18+8
10x=26
x=13/5
b)-8+2x=12x-3
-8+2x-12x=-3
2x-12x=-3+8
-10x=-3+8
-10x=5
x=-1/2
e)4/3x-18+2/3x=7/3x+9
4x-54+2x=7x+27
6x-54=7x+27
6x-7x-54=27
6x-7x=27+54
-x=27+54
-x=81
X=-81
d)-2x-4/5 +8/5 =3x-3
-2x-4+8=15x-15
-2x+4=15x-5
-2x-15x+4=-15
-2x-15x=-15-4
-17x=-15-4
-17x=-19
x=19/17
Step-by-step explanation:
Selena went to our Diner. She ordered a hotdog and cheeseburger. How much did she spend at lunch?
Answer:
13.75
Step-by-step explanation:
6.25+7.50=13.75
Answer:
$11.05
Step-by-step explanation:
The hot dog is $3.55, and the cheeseburger is $7.50. Thus, adding them together, the whole total is $11.05.
Hope this helps
in a school, 56% of the 850 students are girls. work out the number of girls in the school
Answer:
476 girls
Step-by-step explanation:
total students : 850
56% of 850 = 476
Can u guys help me with this... Thanks ❤️
Answer:
90 divided by 15
Step-by-step explanation:
= 6
So 90/15=6 6 Friends
Answer:
90/15=6 so you gave 6 friends paper clips.
Step-by-step explanation:
take 90 and divide it by 15 and you'll get the amount of friends..(im not sure if this is right though but hopefully it is!) <3 hang in there!
Josh plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
8. Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya charges for x hours of tutoring are modeled with the function shown. 30x, 06. Who will charge more to tutor for 5.5 hours, Oscar or Latoya? How much more?
Answer:
a. Oscar charges more to tutor for 5.5 hours than Latoya.
b. Oscar charges more by a difference of $1.00 for tutoring 5.5 hours.
Step-by-step explanation:
Charges by Oscar:
1st hour of tutoring = $25
Additional hour or fraction = $15
For tutoring for 5.5 hours, Oscar charges:
1st hour of tutoring = $25
4.5 hours of additional tutoring = $75 ($15 * 5)
Total charges = $100
Charges by Latoya:
= 30x, 0.6, where x = hours of tutoring
Total charges = 30 * 5.5 * 0.6 = $99
Therefore, Oscar charges more for tutoring 5.5 hours than Latoya by $1 ($100 - $99).
Can someone answer this please
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not.
Answer:
Yes, he is correct
Step-by-step explanation:
if you translate each letter ABCDE to A"B"C"D"E" exactly how he stated it turns out right. For example, C just go 8 squares up and then 10 to the right and do the same for the rest.
Answer:
Michael is incorrect; The shape would have to be flipped at some point, seeing as point B on ADCDE is on the bottom of the shape, whereas point B" on A"B"C"D"E" is on the top of the shape.
Hope this helps, have a nice day!
Step-by-step explanation:
Wait a sec... I'm Michael, so am I right or am I wrong...? (Big confuse)
For one week, Xavier rode his bike 5,25 miles each weekday and a total of 13 miles on the
weekend. How many total miles did Xavier ride his bike that week?
5.25 + 13
= 18.25
Xavier rode his bicycle for a total of 18.25mi in one week.
What is 6,374 in expanded form?
Answer:
6000+300+70+4
Step-by-step explanation:
6000 plus 300 = 6300
70 plus 4= 74
6300+74=6374
Answer:
6,000
+ 300
+ 70
+ 4
-------------
6, 3 7 4
Step-by-step explanation:
blank + blank = internal energy
Answer:
kinectic + electric = internal
Step-by-step explanation:
Internal energy U of a system or a body with well defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules. Internal energy also includes the energy in all the chemical bonds.
Answer:
The internal energy of a system is identified with the random, disordered motion of molecules; the total (internal) energy in a system includes potential and kinetic energy. This is contrast to external energy which is a function of the sample with respect to the outside environment (e.g. kinetic energy if the sample is moving or potential energy if the sample is at a height from the ground etc). The symbol for Internal Energy Change is ΔU .
Energy on a smaller scale
Internal energy includes energy on a microscopic scale
It is the sum of all the microscopic energies such as:
translational kinetic energy
vibrational and rotational kinetic energy
potential energy from intermolecular forces
One gram of water at zero °Celsius compared with one gram of copper at zero °Celsius do NOT have the same internal energy because even though their kinetic energies are equal, water has a much higher potential energy causing its internal energy to be much greater than the copper's internal energy.
Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.
Answer:
I say it is 16.8
Step-by-step explanation:
40 x 42
100
= 16.8
The total number of chairs in the audience is 105.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.
Let, 'x' be the total number of chairs.
Therefore, 40% of 'x' is 42 which can be numerically expressed as,
(40/100)×x = 42.
0.4x = 42.
x = 42/0.4.
x = 105.
So, The total number of chairs in the audience is 105.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
4(f + 1) = 12
what does f equal
Answer:
f=2
Step-by-step explanation:
4(f+1)=12
4f+4=12
-4 -4
4f=8
f=2
Answer
F = 2
Step-by-step explanation:
Distributive property: 4f+4=12
-4 -4
Subtraction property of equality: 4f=8
/4. /4
Division property of equality: f=2
1 Adrian is buying a new radio.
The radio is on sale.
The sale price of the radio is 20% off the normal price.
The radio Adrian buys is slightly damaged.
The shop takes an extra 15% off the sale price due to the damage.
Work out the overall percentage reduction of the price of the radio.
Total 5 Marks
Answer:
35
Step-by-step explanation:
20 + 15 = 35
hope this helps
really need help on this so please help as soon as you can thanks
Answer:
Option A
Step-by-step explanation:
From the last triangle given in the picture,
x° = 45° + 85° [By the definition of exterior angle of a triangle]
x = 130°
Another way to get the value of x,
By triangle sum theorem,
45° + 85° + y° = 180°
y° = 180° - 130°
y = 50°
And (x° + y°) = 180° [linear pair of angles]
x + 50 = 180
x = 130°
Therefore, x = 130° because 180 - (45 + 85) = 50 and 180 - 50 = 130
Option A is the answer.
46.32 - 31.16 rounded
Answer:
15
Step-by-step explanation:
sweet
Please help I really need it
Answer:
the slope is 3
Step-by-step explanation:
Answer:
m = -1/3
Step-by-step explanation:
You have the right idea with the rise and run. We have a run of 15 and a rise (or I guess in this case, a decline) of -5. Slope is rise over run:
-5/15 = -1/3
This means we have a slope of -1/3.
Alternatively, we could just the points and put them into the slope formula.
We have the points (0,25) and (15,20). We can substitute those values into the formula:
m = y₁ - y₂ / x₁ - x₂
m = 25 - 20 / 0 - 15
m = 5/-15
m = -1/3
Works all the same.
The owner of a plant nursery wrote down the number of roses on each bush Roses per bush 115 5 25 45 078 4 5 6 6 269 0223 what the smallest number of roses
Answer:
4
Step-by-step explanation:
Select other ways to express 2:12
Answer:
12 after 2
Step-by-step explanation:
I got this correct on ed2020
Answer:
ratio
Step-by-step explanation:
IF YOU ANSWER THE THE QUESTIONS I WILL MARK YOU THE BRAINILY PLSSS HELP
Answer:
4. Obtuse
5. Right
6. Acute
Step-by-step explanation:
Pythagorean Theorem.
a^2 + b^2 = c^2
a + b > c = Acute
a + b < c = Obtuse
a + b = c = Right
please can you help me! I will mark brainliest!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:
The coordinates of the community center are (5, −1). Who has a house in the same
quadrant as the community center?
1. Dan
2. Joe
3. Lee
4. Roy
Answer: Roy
Step-by-step explanation:
(5, -1) has a positive x value and negative y value. Therefore, it is in the 4 quadrant which is the bottom right corner. In this case, Roy is the only one in the 4 quadrant where the community center is.
Answer:
its in between joe and dan
Step-by-step explanation:
5. Jada is making circular birthday invitations for her friends.
The diameter of the circle is 12 cm. She bought 180
cm of ribbon to glue around the edge of each invitation.
How
many invitations can she make?
Answer:
Step-by-step explanation:
Jada is making circular invitations
we have d=12 cm, the radius r=6
she needs to find out the circumference
C=2x3.14x r
C=2x 3.14x6=37.68
180/37.68=4.77
she can make just 4 invitations
Point J(-4,-6) and point K(4,4) are located on a coordinate grid
Which measurement is closest to the distance between point J and point K in units?
A) 18 units
B) 6 units
C) 13 units
D) 9 units