In 2001, the population of a village was 900. The annual rate of increase is 0.6%, which function below represents the population in p years?
Answer:
y= 900(1.006)^p
Step-by-step explanation:
Given data
Population= 900
Rate of increase= 0.6%
Time= p years
Let the final Population be y
y= 900(1+0.006)^p
y= 900(1.006)^p
Hence the expression is y= 900(1.006)^p
PLEASE HELP. i have been working on this for an hour!!!
What is the distance across the lake?
Answer:
AB = 133m
Step-by-step explanation:
You can notice the ratio of AE to DE is the same as the ratio from BE to CE(3.5). We can also say angle AEB is congruent to angle DEC because they are vertical angles. Now, because of SAS similarity, you can say triangle AEB and DEC are similar. We can set up these proportions from the definition of similar triangles:
DE / AE = BE / CE = DC / AB
And we can plug in the values we have:
42 / 147 = 36 / 126 = 38 / AB
2 / 7 = 2 / 7 = 38 / AB
We can cross-multiply to get:
2AB = 7 * 38
2AB = 266
AB = 133 m
The total cost of 8 identical pens and 2 identical files is $32 The total cost of 3 such files is the same as the total cost of 4 such pens. Find the cost of each file
Answer:
$4
Step-by-step explanation:
Given that
total cost of 8 identical pens and 2 identical files is $32
And, the The total cost of 3 such files would be the same as the total cost of 4 such pens
We need to find out the cost of each file
So let us assume the following things
Pens be x
File be y
Now
8x + 2y = $32 ....(1)
3y = 4x.........(2)
y = 4x÷ 3
Now put the value of y in equation 1
8x + 1.33x = 32
x = $3.55
x = $4
The cost of each file based on the given information is $4
where:
Let the cost of a pen be xLet the cost of a file be ySimultaneous equationIf the total cost of 8 identical pens and 2 identical files is $32, hence;
8x + 2y = 32
If the total cost of 3 such files is the same as the total cost of 4 such pens, then;
4x = 3y
From the equation
8x + 2y = 32
2(4x) + 2y = 32
2(3y) + 2y = 32
8y = 32
y = 4
Since 6=4x = 3y
4x = 3(4)
4x = 12
x= 3
Hence the cost of each file is $4
Learn more on simultaneous equation here: https://brainly.com/question/6597041
please help, will give brainliest.
Answer:
13) 8r = 256; r = 32
14) f = 2(5)
15) 8t = 208; 208/8 = 26
Step-by-step explanation:
Please help no links
.The answer to the questions are:
1. 4/15 is 0.26 but it's repeated so put a line above it
2. 22/7
3. 0.1875
4. 43/ 26
5. 0.73 again put a line above
6. 0.1875
11/50 as a percentage
Step-by-step explanation:
4. Ito ay baluktot na gawaing may kinalaman sa pagpapayaman nang
ilegal.
Help please (: :). .
Answer:37.68
Brainliest pls
Answer:
The circumference of the circle is 75.36cm
Step-by-step explanation:
There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi
5. A ladder leans against a building. The top of the ladder touches the building 10 feet above the ground. The foot of the
ladder is 4 feet from the building. Find, to the nearest degree, the angle that the ladder makes with the level ground.
(3 points)
Answer:
68 degrees
Step-by-step explanation:
The ladder, the building and the ground together make up a right triangle with angle of elevation to be determined.
The side opposite this angle is 10 ft; the distance of the foot of the ladder from the building is 4 ft. Thus,
tan x = (opp side) / (adj side) = 10/4. Using the inverse tangent function, we find that the angle in question is
arctan (10/4) = 68 degrees
Answer to thisssssss
Answer:
[tex]\huge\boxed{P\approx267.75m}[/tex]
Step-by-step explanation:
Look at the picture in the attachment.
x it's the quarter of the circle with the radius r = 75m.
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
Therefore
[tex]x=\dfrac{1}{4}\cdot2\pi r=\dfrac{1}{2}\pi r[/tex]
Substitute r = 75m:
[tex]x=\dfrac{1}{2}\pi\cdot75=37.5\pi(m)[/tex]
The PERIMETER of the shaded region:
[tex]P=2\cdot75+37.5\pi=(150+37.5\pi)m\\\\\pi\approx3.14[/tex]
substitute
[tex]P\approx150+37.5\cdot3.14=150+117.75=267.75(m)[/tex]
What is the measure of WV?
A.) 21
B.) 42
C.) 84
D.) 104
Answer:
arc WV = 84 degrees
Step-by-step explanation:
Here, we want to get the length of the arc wv
We can use the angle arc relationship here
From what we have here, the value of the arc wv is the product of 2 and the angle facing it
Thus, we have it that;
Arc WV = 2 * angle WXV
arc WV = 2 * 42 = 84 degrees
If you work 11 hours per week and get paid 11.71 per hour how much do you get paid per month and per year
515 per month
6182 per year
Which is not equivalent to 8/12
16/24
24/48
4/6
24/36
Answer:
The second one, 24/48
Brainliest would be great!
Answer:
24/48
Step-by-step explanation:
ASAP need help look at picture thx !!
Answer:
G
Step-by-step explanation:
We can rule out F and H because those have decaying equations. If the answer was to be J, the first point would have been 1000.
Therefore, the answer is G.
A ball bounced 64% of the distance through which it had fallen. The bounce was 72 cm high. From what height was the ball dropped
Answer:
112.5cm
Step-by-step explanation:
Given data
Height of bounce= 72cm
Percentage of bounce= 64%
Let the distance be x
Hence
64% of x= 72
64/100*x= 72
0.64x= 72
x= 72/0.64
x= 112.5cm
Hence the distance is 112.5cm
Can somebody explain how to slove this
(it’s not 9+6=15 btw)
You start driving west for 9 miles, turn right, and drive north for another 6 miles. At
the end of driving, what is your straight line distance from your starting point?
Round to the nearest tenth of a mile.
Answer:
10.8
Step-by-step explanation:
It's helpful to draw a picture (see below)
Using the pathagoryous thereom was can solve for the missing side
6²+9²=c²
36+81=c²
117=c²
c=10.8
someone help please :(
Answer:
47 I believe
Step-by-step explanation:
What percent of the data is less than 10 texts?
Group of answer choices
25%
50%
75%
100%
Valerie saves 70% of the money she earns from gardening. How much will she save from a job that
pays her $56?
If the measurement of angle 2 is 120 degrees, what is the measurement of angle 7?
Answer:
The measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is
angles 2 and 7 equal 180 degrees. 180 = 2x + x
180 = 3x
x = 60
angle 7 is twice x
angle 7 = 120
Step-by-step explanation:
Look at the table below. What is the mode of the data
5 solve for x
6 find the measurement for each angle below
Answer:
5. x = 18°
6. 5x = 50°, 4x= 40°
Step-by-step explanation:
5. Both the angles shown above add up to 180, due to them being supplementary, so you get the following equation:
6x + 4x = 180
which simplifies to
10x = 180
meaning x is equal to 18.
6. The angle measures of 5x and 4x add up to 90 because they are complementary angles, giving us the equation below:
5x + 4x = 90
simplifying to
9x = 90,
and resulting in
x = 10
So 5x is equal to 50 and 4x is equal to 40.
La altura de una portería de futbol reglamentaria es de 2.4m y la distancia desde el punto de penalti hasta la raya de gol es de 10.8m. ¿Qué distancia recorre un balón que se lanza desde el punto de penalti y se estrella en el punto central del larguero?
Answer:
11.06 meters
Step-by-step explanation:
Given that
The height of a regulation soccer goal is 2.4 meters
And, the distance is 10.8 meters
We need to find out the hypothesis
Here we applied the pythagoreans theorem
So,
= √ (2.4m) ^2 + (10.8 m) ^2
= √5.76 m^2 + 116.64m^2
h = 11.06 m
Hence, the hypothesis is 11.05 meters
A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Suppose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?
Answer:
The grade of this sixth and (final) test would be 91.
Step-by-step explanation:
This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:
a₁ = 71
r = 4
a₆ = the sixth term that needs to be found out
n = 6
Formula of an arithemetic series:
aₙ = a₁ + r(n - 1)
a₆ = 71 + 4(6 - 1)
a₆ = 71 + 4(5)
a₆ = 71 + 20
a₆ = 91
Hence, the grade of this sixth and (final) test would be 91.
Hope this helps!
Neal estimated √50 by determining that the two perfect squares nearest 50 are 49 and 64. Select the two consecutive whole numbers that the √50 is between to complete the sentence. √50 is between and .
Answer:
7 and 8
Step-by-step explanation:
the perimeter of a yard is 25 yards. if the length of the yard is 5, what is the width of the yard?
Answer:
the width would be 7.5
Step-by-step explanation:
Answer: i believe it would be 7.5 because the perimeter is 25 and you just add cause your not finding the area
ANSWER BOTH!!! A. An international company has 18,600 employees in one country. If this represents 18.2% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.
B. A house on the market was valued at $316,000. After several years, the value decreased by 7%. By how much did the house's value decrease in dollars? What is the current value of the house?
Decrease in value: $
Current house value:$
Answer:
A. 102,198 employees
B. $22,120 decrease
$293,880 current value
Step-by-step explanation:
Find the probability of drawing a king from a standard deck of cards and then drawing a queen after the first card is replaced in the deck. HELP HELP HELP (fraction)
Answer:
1/169
Step-by-step explanation:
In a standard deck of cards, there are 4 kings and 4 queens, and there is a total of 52 cards. Probability is defined by the formula the number of desirable outcomes over the total outcomes. In the first draw, we have 52 total outcomes and 4 desirable (the 4 kings) that equal the fraction 4 / 52 or 1/13. We can do the same to find the probability of picking a queen next with replacement. That would equal 1/13 as well. The two events are independent because you are drawing the cards with replacement. Using the probability of independent events, the product of the probabilities at each stage is the answer: 1/13 * 1/13 = 1/169
Find the areas of the trapezoids.
Answer:
20 units
Step-by-step explanation:
The area of a trapezoid is (a+b/2)*h which in this case would be (2+8/2)*6
Bobby is playing hide-and-seek with Clarence and Heather. Clarence is hiding 75 feet south of
Bobby, and Heather is hiding due east of Clarence. If Bobby is 85 feet from Heather, how far
apart are Clarence and Heather?
Which mapping represents a function?