Answers
A) the initial population is 30, which is given in the equation.
B) replace t with the number of years and solve:
5 years = 60
10 years = 120
15 years = 241
C) the population is doubling every 5 years
Related Questions
carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?
Answers
Answer:
Rocco mowed 1 lawn a week.
Step-by-step explanation:
If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.
Thus Rocco mowed 1 lawn a week.
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answers
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
Anna wrote a pattern starting at 0 and following the rule "add 2." Niko wrote a pattern starting at 0 and following the rule "add 4." Which shows the two patterns?
0, 2, 4, 6, 8,... Niko: 0, 4, 8, 12, 16,...
0, 2, 4, 6, 8,... Niko: 4, 8, 12, 16, 20,...
0, 2, 4, 6, 8,... Niko: 0, 4, 6, 8, 10,...
2, 4, 6, 8, 10,... Niko: 4, 8, 12, 16, 20,...
Answers
Answer:
The first one is the right answer
Step-by-step explanation:
Hope this helps have a good day
Answer:
the first one is right
Step-by-step explanation:
write the following in the form Ax^2+Bx+C=y
Answers
Answer:
13). y = x² + 6x + 8
14). y = 2x² + 8x - 12
Step-by-step explanation:
13). Vertex form of a parabola is given by,
y = a(x - h)² + k
Here (h, k) is the vertex of the parabola.
Equation of a parabola with vertex (-3, -1) will be,
y = a(x + 3)² - 1
Since, y-intercept of the parabola is y = 8
In other words, parabola is passing through (0, 8)
8 = a(0 + 3)² - 1
8 = 9a - 1
9a = 9
a = 1
Therefore, equation of the parabola will be,
y = (x + 3)² - 1
y = x² + 6x + 9 - 1
y = x² + 6x + 8
14). Equation of a parabola with vertex (-2, -20)
y = a(x + 2)² - 20
Since, y-intercept of the parabola is (0, -12),
-12 = a(0 + 2)² - 20
-12 + 20 = 4a
4a = 8
a = 2
Therefore, equation of the parabola will be,
y = 2(x + 2)² - 20
y = 2(x² + 4x + 4) - 20
y = 2x² + 8x + 8 - 20
y = 2x² + 8x - 12
Solve the equation. 4(x + 5) - 4 = 4
Answers
Answer: How to solve your question
Your question is
4
(
+
5
)
−
4
=
4
4(x+5)-4=4
4(x+5)−4=4
Solve
1
Distribute
4
(
+
5
)
−
4
=
4
{\color{#c92786}{4(x+5)}}-4=4
4(x+5)−4=4
4
+
2
0
−
4
=
4
{\color{#c92786}{4x+20}}-4=4
4x+20−4=4
2
Subtract the numbers
3
Subtract
1
6
16
16
from both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
Solution
=
−
3
Step-by-step explanation: I got this from a website but i hope this helps!!!!
4x+20-4=4
4x+16=4
4x=4-16
4x=-12
X=-3
An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, 30 taxi drivers receive a bottle of the additive to use the next time they fill their gas tank. The drivers then compare their gas mileage with the additive to their gas mileage before the additive was used.
What is the response variable in this scenario?
the age of the car
the 30 cars used in the study
the use of the additive
the gas mileage after the additive is used
Answers
Answer:
The answer is D. the gas mileage after the additive is used
Step-by-step explanation:
I got 100% on edg!
Answer:
d
Step-by-step explanation:
edge2o2o
A teacher had 39 students in her classes. If each student completed 73 problems which expression shows about how many problems she'd have to grade?
Answers
As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than 10 hours per week, but wants to make at least $200 per week. The inequalities 20x + 25y ≥ 200 and
x + y < 10 represent the situation. Which is true of the graph of the solution set? Check all that apply.
Answers
Answer:the line x+y<10 has a negative slope and a positive y intercept
The line representing 20x+25y>200 is solid and the graph is shaded above line
The overlapping region contains the point (4,5)
Step-by-step explanation:
;)
Answer:
The answers are B, C, and E.
Step-by-step explanation:
I got it right on edge
[tex]\sqrt{x + 12} = x+5[/tex]
Answers
We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)
From [tex]\sqrt{x+12}=x+5[/tex]
Completing the square for both sides.
[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]
Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.
[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]
But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2
Therefore, the answer is (-9-√29)/2
Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.
Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5
A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.
B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.
C) Lourdes dog gained weight every month because it is getting older.
D) Lourdes dog lost weight every month because the change in May is a negative number.
Answers
Answer:
A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers
Estimate the square root of 5 to the nearest tenth
Answers
Answer:
Step-by-step explanation:
It's about +- 2.2. It equals 2.236067977 but can be rounded to 2.2. When you square root, the answer could be positive or negative.
The square root of 5 to the nearest tenth is 2.2.
We have to find out the square root of 5 that should be the nearest tenth.
So, the following procedure should be followed:
[tex]= \sqrt{5}\\\\= 2.2360679[/tex]
= 2.2
Therefore we can conclude that the square root of 5 to the nearest tenth is 2.2.
Learn more about the square root here: brainly.com/question/9664917
Draw lines to match each fraction,
decimal, or percent on the right to an
equivalent number on the left.
Answers
Answer:
0.45 = 9/20
38% = 19/50
27/50 = 0.54
0.68 = 17/25
80% = 4/5
Step-by-step explanation:
$1,580 at 10% for 8 years
Answers
Hope this helps you
What is the range of h
Answers
grab the image of the rectangle DEFG reflection across the line x= 3
Answers
Answers:
D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units
Answers
Answer:
3 and 1/2 units
Answer:
3 and 1/2 units
Step-by-step explanation:
hope this helps you lol
E
In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.
Answers
Answer:
93.83%
Step-by-step explanation:
2350 - 1200 = 1150
1150/1200 * 100 = 95.83%
What is the error in: -6/7 + -1/2 = -12/14 + -7/14 = -19/28 and how do you fix it?
Answers
Answer:
DRFHDFG
Step-by-step explanation:
6=6+4
Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.
Answers
Answer:
M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.
What is the standard deviation?The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.
Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.
Let X denotes the weekly salary of her mother.
X ~ Normal(740,432)
Let Y denotes the weekly salary of her father.
Y ~ Normal(535,252)
and X and Y are independent.
the average weekly salary of your parents combined = E(X+Y)
= E(X) + E(Y) = 740 + 535 = 1275
the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474
the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739
Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ5
How much cinemeters is 5 inches
Answers
Answer:
5 inches is equal to 12.7 centimeters.
Step-by-step explanation:
There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.
Answer:
12.70 cm hope it is right
Step-by-step explanation:
Which substitution method should be the best used to solve which system of equations
Answers
Answer: 6x+2y=1
Step-by-step explanation:
because it just is
PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU
Answers
Answer:
it is c
Step-by-step explanation:
the lines are parallel to each other
needs to be done quickly pls.
Answers
Answer:
50 Degrees
Step-by-step explanation:
wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba wooba
Answers
Answer:
wooowooowowowowowowowowow
Step-by-step explanation:
Answer:
epic ninja
Step-by-step explanation:
ninja
Solve the proportion. 8/11 = 4/y + 2
Answers
Answer:
The answer is Y = - (22)/(7 )
Step-by-step explanation:
The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude
please fast tell me
Answers
Answer:
1). Option (b)
2). Option (d)
3). Option (d)
Step-by-step explanation:
Question (1)
For Pythagoras triplet,
(Largest number)² = (Number 1)² + (Number 2)²
a). 5² = 5² + 2²
25 = 25 + 4
25 = 29
Not True.
b). 5² = 3² + 4²
25 = 9 + 16
25 = 25
True.
c). 10² = 1² + 5²
100 = 1 + 25
100 = 26
Not true.
d). 2² = 2²+ 2²
4 = 4 + 4
4 = 8
Not true.
Therefore, Option (b) is correct.
Question (2)
1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Therefore, Option (d) is the answer.
Question (3)
Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.
a). 6 + 3 > 2 ⇒ 9 > 2 [True]
6 + 2 > 3 ⇒ 8 > 3 [True]
2 + 3 > 6 ⇒ 5 > 6 [False]
Triangle is not possible.
b). 2 + 8 > 3 → 10 > 3 [True]
8 + 3 > 2 → 11 > 2 [True]
2 + 3 > 8 → 5 > 8 [False]
Triangle is not possible.
c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
5.5 + 2.5 > 2.5 → 8 > 2.5 [True]
2.5 + 2.5 > 5.5 → 5 > 5.5 [False]
Triangle is not possible.
d). 3 + 6 > 7 → 9 > 7 [True]
3 + 7 > 6 → 10 > 6 [True]
7 + 6 > 3 → 13 > 3 [True]
These are the sides of a triangle.
Therefore, Option D is the answer.
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answers
Answer:
Step-by-step explanation:
What is MR? Explain.
Answers
Answer:
MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go " 4 6 6 4" and you add those together and get 20
PLZ HELP WILL GIVE BRAINLIEST
Answers
the answer is c
Step-by-step explanation:
it is because you have to times 3 and 4 and 3 and 9
Answer:
The answer is 27/ 12x - 9 = 28
Step-by-step explanation:
All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.
3 ( 4x - 9 ) = 28 = 12x - 27 = 28
Hope this helped.
♡(ŐωŐ人)
Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)
Answers
Answer:
55
Step-by-step explanation: