Answer:
(a) The population in 2000 is 450
(b) 15% decreases each year
Step-by-step explanation:
Given
[tex]P = 450(0.85)^t[/tex] --- since 2000
[tex]P \to Population[/tex]
[tex]t \to years[/tex]
Solving (a): The population in 2000
First calculate t
[tex]t = 2000 - 2000[/tex] --- years since 200
[tex]t = 0[/tex]
So, we have:
[tex]P = 450(0.85)^t[/tex]
[tex]P = 450 * 0.85^0[/tex]
[tex]P = 450 * 1[/tex]
[tex]P = 450[/tex]
Solving (b): Rate of population decrease
A function that decreases is represented as:
[tex]P(t) = a(1 - r)^t[/tex]
Where
[tex]r \to[/tex] rate of decrement
Compare [tex]P(t) = a(1 - r)^t[/tex] and [tex]P = 450(0.85)^t[/tex]
[tex]1- r = 0.85[/tex]
Collect like terms
[tex]r = 1 - 0.85[/tex]
[tex]r = 0.15[/tex]
Express as percentage
[tex]r = 15\%[/tex]
A bag contains 6 white marblesw and 4 black marbles.a marble is drawn from the bag and then a second marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw and another white marble on the second draw
Answer:
60.5%
Step-by-step explanation:
60% white, 40% black
The first draw you have a 60% chance drawing a white marble, the second time you have a 55% chance since you already drew one in the first round. so i think it is 60.5%% chance drawing white on both rounds since I add 60+55=121. 121/200=60.5%
Answer:
1/3
Step-by-step explanation:
lol can u help me.. JEJDJJSJSNS
Answer:
i belive the correct answer should be A .im not 100 precent sure its, either a or c
Step-by-step explanation:
Please help me I will give branliest! Find the indicated trig ratio and write your answer as a simplified fraction. Image attached
[tex]cosec( \theta) = \frac{1}{sin( \theta)} [/tex]
[tex]sin( \theta) = \frac{opposite}{hypotenuse} [/tex]
[tex]cosec( \theta) = \frac{hypotenuse}{opposite} [/tex]
[tex]cosec( \theta) = \frac{21}{4 \sqrt{5} } [/tex]
Find the rate charged for customers for each serving?
Answer:
3.00
Step-by-step explanation:
irs 3.00 iiiiiiiiiiiiiiiiiiiiiiiiiiiii
convert 70/100 to a decimal
Answer: convert 70/100 to a decimal
70 divided by 100 is gonna give us 0.7
The Answer is gonna be 0.7
This is the right Answer :3
I hope you are having a great day :3
Explanation :
70/100
=7/10
=0.7
Answer:
0.7
Step-by-step explanation:
Given:
70/100
7/10
0.7
Which operation should be used to solve x + 3 = 7?
A) -3
B) x 3
C) + 3
D) ÷ 3
Answer:
÷3
Step-by-step explanation:
&$#*×&×$;$:$&;%%:#,¿×€$:%
Answer:
A
Step-by-step explanation:
when doing algebra like this, you need to isolate the variable using its reverse operation. For + its -. For - its +. For * its /. For / its *.
Luis evaluated the expression \large 3^5+6^3, but he made a mistake. His work is shown below:
Answer:
Step-by-step explanation:
In first line he multiplied exponent times base but we should multiply base times its exponent.
correct solution
3^5+6^3
=3*3*3*3*3+6*6*6
=243+216
=459
Please help me solve this math. It’s due soon
Answer:
the awnser would be a I'm pretty sure
Step-by-step explanation:
make the other side the same ones so like take the bottom 8 and duplicate it to the top. do the same thing with the 6 but put it on the left side. and then combine 12 + 18 and there you go.
A laptop is on sale for 15% off. if the original price of the laptop was L, what is the sale price in terms of L?
a) 0.85L
b) 8.5 L
c)0.15L
D) L-15
4 cups to 22 cups ratio
Answer:
1:5.5
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities?
у< 3х
y< 5
A. (1,3)
B. (9,4)
C. (4,10)
D. (-12,50)
Answer:
[see below]
Step-by-step explanation:
I used a graphing program to graph the given system. I also graphed the points given.
Options B's choice lies in the double shaded area, so it would be a solution to the system.
See the graph attached!
Hope this helps you!
Can someone help me out with my math homework my grades are baddddd
Answers:
Area of figure 2 = 150 square cmWX = 25/6 cm (exact)WX = 4.167 (approximate)It's not clear which version of WX your teacher wants, so I provided both of them.
============================================================
Explanation:
Focus on the perimeters. The jump from 36 to 30 means the linear scale factor is 30/36 = 5/6
This means,
WX/YZ = 5/6
WX/5 = 5/6
6WX = 5*5
6WX = 25
WX = 25/6 which is exact
WX = 4.167 approximately
---------------
The linear scale factor is 5/6, so the area scale factor is (5/6)^2 = 25/36.
The area of figure 1 is 216 cm^2, making the area of figure 2 to be 216*(25/36) = 150 cm^2
What is the sun of the interior angles in the figure shown?
- 210
- 510
- 720
- 1080
Answer:
720°
Step-by-step explanation:
(180° x 6) - 360° = 720°
checking:
(right side) 2 angles 90° = 180°
(left side) 0ne pair of supplementary angles = 180°
(center) One angle 180° + ?°
One angle 180° - ?°
Equals 2 angles 180°
Total = 720°
Which graph represent the inequality x >15
Line segment TU has endpoints (-7,10) and (-6,-5). What is the length of TU to the NEAREST TENTH?
Answer: 15 units
Step-by-step explanation:
Given
The endpoints of the line segment are [tex](-7,10)\ \text{and}\ (-6,-5)[/tex]
The length of the line segment is given by the distance formula i.e.
[tex]d=\sqrt{\left( x_2-x_1\right)^2+\left( y_2-y_1\right)^2}[/tex]
Insert the values,
[tex]\Rightarrow d=\sqrt{\left( -6+7\right)^2+\left( -5-10\right)^2}\\\Rightarrow d=\sqrt{1^2+\left( -15\right)^2}\\\Rightarrow d=\sqrt{1+225}\\\Rightarrow d=15.0\ \text{units}[/tex]
Therefore, the length of line segment TU is 15 units
The measure of an angle is 2.8.what is the measure of its complementary angle
Answer:
87.2º
Step-by-step explanation:
Complimentary angles total 90º
c + 2.8 = 90
c = 90 - 2.8
c = 87.2º
Answer:
87.2°Step-by-step explanation:
When angles are complementary, it means that they both add up to 90°.
In this case, one of the angles measures 2.8°.
So, to find the other one, we subtract 2.8 from 90.
90 - 2.8 = 87.2
The measure of the complementary angle is 87.2°
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Find each probability below -- as a fraction, decimal and percent
Will give brainliest
Answer:
I was not sure to what decimal point to round it to
a) Fraction: 2/7 Decimal: 0.28571 Percent: 28.571 %
b) Fraction: 5/7 Decimal: 0.71428 Percent: 71.428 %
c) Fraction: 1/7 Decimal: 0.14285 Percent: 14.285 %
Answer:
a.)
Fraction: 2/7
Decimal: 0.29 (rounded to nearest tenth)
Percent: 28.57%
b.)
Fraction: 5/7
Decimal: 0.7143
Percent: 71.43%
c.)
Fraction: 1/7
Decimal: 0.143 (rounded to nearest hundredth)
Percent: 14.29% (rounded to nearest tenth)
Nancy bought an extra-large bag of 1,100 beads to make necklaces. When she got home, she found another bag with 700 beads in it. If she uses all of the beads and uses 50 beads per necklace, how many necklaces can she make? A. 22 B. 14 C. 36 D. 400
Answer: C
Step-by-step explanation:
Given
Nancy bought the bag with 1100 beads to make necklaces
She found another bag with 700 beads
So, the total number of beads is the sum of two i.e. 1800 beads
It takes 50 beads per necklace
The number of necklaces that can be formed is
[tex]\Rightarrow \dfrac{1800}{50}\\\\\Rightarrow 36\ \text{Necklaces}[/tex]
does anybody know the answer?
Answer:
Its 2!
Step-by-step explanation:
will give brainlyist if quick
Answer:
0
Step-by-step explanation:
1/2 times 4 is 2 and 2 minus 2 is 0
Answer:
y=0
Step-by-step explanation:
Substitute x in place of x
y=[tex](\frac{1}{2} *4)-2[/tex]
y=2-2
y=0
447.593 + (9.247 x 66.6) + (3.098 x 161) - (4.330 x 14)
Answer:
1501.6
Step-by-step explanation:
_____z_______________
Answer:
447.593+1054.0082x
Step-by-step explanation:
Hope this helps.
I DONT KNOW LOL PLS HELO AGAIN FOR MY TEST.. I am trying to score a good score but I understand nothing
5 questions!!! 6 total but the last question will be separate will be giving 35 points to correct answer. Links will be ignored. I will mark brainliest!
Answer:
Step-by-step explanation:
1)down 8 up 10
2)11.2
3)9+9+9+9+9=45
4)middle
5)77.0
HELP DUE IN 10 MINS!
Which equation has the following: Center (0, -3) and radius: square root of 11.
A. x2 + (y - 3)2 = 11
B. x2 + (y - 3)2 = 121
C. x2 + (y + 3)2 = 11
D. x2 + (y + 3)2 = 121
Answer:
[tex]\text{C. }x^2+(y+3)^2=11[/tex]
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex].
What we're given:
radius of [tex]\sqrt{11}[/tex] center at [tex](0,-3)[/tex]Substituting given values, we get:
[tex](x-0)^2+(y-(-3))^2=\sqrt{11}^2,\\\boxed{\text{C. }x^2+(y+3)^2=11}[/tex]
WILL GIVE BRANLIEST! Find the value for the variable of the missing side. Round your answer to the nearest TENTH
Answer:
11.1
Step-by-step explanation:
We have the hypotonouse but need the opposite side
We will therefore use SOH
sin(68)=x/12
12sin(68)=x
x=11.1
Answer:
x=11.1
Step-by-step explanation:
12sin(68)
x=11.1
Mabel runs a website, and she wonders how people navigate to her website. She suspects that 50% of
visitors arrive from a web search, 25% arrive from links on social media, and 25% arrive directly by
entering the website's address. She plans to take a random sample of visitors and record how they
navigated to the site in order to perform a x? goodness-of-fit test on the results.
lare
Answer:
20 total visitors
Step-by-step explanation:
Answer:
20 total visitors
Step-by-step explanation:
got it right on khan academy:
the diagram shows a right-angled triangle what is the value of h? 24
Answer:
Picture please, and thank you.
Please answer this to the best of your ability
Answer:
Step-by-step explanation:
I-- (3,-1)
K-- (-3,-5)
L-- (-3,-4)
J-- (2, -5)
Answer:
Angle I: (3,-1)
Angle J: (2,-4)
Angle K: (-2,-4)
Angle L: (-2,-3)
Step-by-step explanation:
I counted each unit down from each angle till I got to the x axis then counted down how many units it took to get from the angle to the line.
I REALLY NEED HELP T-T
Answer:
option A : 7x - 1
Step-by-step explanation:
Area of the shaded region = [ Area of bigger rectangle] - [Area of smaller rectangle ]
Therefore, Area of bigger rectangle = length * breadth = (x - 1)(x + 5)
Therefore, Area of smaller rectangle = length * breadth = (x + 1)(x - 4)
Area of shaded region = [(x - 1)(x + 5)] - [(x + 1) ( x - 4)
= [x(x + 5) - 1(x + 5)] - [x(x - 4) + 1( x - 4)]
= [ x^2 + 5x - 1x -5] - [ x^2 - 4x + 1x - 4]
= x^2 + 5x - 1x - 5 - x^2 + 4x - 1x + 4 ....(after removing the brackets)
= x^2 - x^2 + 5x + 4x - 1x - 1x - 5 + 4.....( as (+ x^2 )and (- x^2 )get eliminated due to opposite signs)
= 9x - 2x - 1
= 7x - 1
So, option A: 7x - 1 is the correct answer.
A baker uses 4 berries for every muffin which equation can be used to find the number of berries b needed to make m muffins
Answer:
b = 1/4m
Step-by-step explanation:
A baker uses 4 berries for every muffin which equation can be used to find the number of berries b needed to make m muffins
Given :
Berries = b
Muffins = m
4 berries for every muffin
4b = m - - - (1)
Th number of berries to make m muffins:
Make b the subject :
Divide both sides by 4
b = m/4