Answer:
88.2
80(1+0.05)* 2
Step-by-step explanation:
The number of birds in the park in 1997 is given by the equation A = 88.2 birds
What is exponential growth factor?
The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the number of birds in 1997 be represented as A
Now , the equation will be
The number of birds in 1995 x₀ = 80 birds
The time n = 1997 - 1995 = 2 years
The percentage of increase r = 5 %
The number of birds A is calculated by exponential growth factor ,
Substituting the values in the equation , we get
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( 2 ) = 80 ( 1 + ( 5/100 ) )²
On simplifying the equation , we get
x ( 2 ) = 80 ( 1 + 0.05 )²
x ( 2 ) = 80 ( 1.05 )²
x ( 2 ) = 80 x 1.1025
x ( 2 ) = 88.2 birds
Therefore , the value of A is 88 birds
Hence , the number of birds is 88 birds
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Find the length of arc CD. Use 3.14 for pi. Round to the nearest tenth.
9.2
.......................
The length of arc is 9.1506 cm.
What is Length of Arc?The length of an arc refers to the distance along the curve of a circle between two points on that curve. It is a measure of the portion of the circumference of a circle or any other curved shape.
The Formula for Length of Arc is θ/360 x 2πr.
We have,
Radius = 7.9 cm
Angle = 66.4 degree
Now, length of Arc
= θ/360 x 2πr
= 66.4 / 360 x 2 x 3.14 x 7.9
= 0.18444 x 2 x3.14 x 7.9
= 9.1506 cm
Thus, the length of arc is 9.1506 cm.
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Do All slope triangles have a ratio of 1/5?
Mondays at pizza pan you can cheese to toppings at no extra cost for your pizza to tacos are mushroom sausage peppers and extra cheese how many different pizza's could you order
Answer:
We can order 35 different types of pizza based on the toppings.
Step-by-step explanation:
There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.
Find the missing side lengths, leave your answers as radicals in the simplest form. Show work please
Answer:
m and n are both equal to 10
Step-by-step explanation:
Because we see that the two of the angles here are 45 and 90, we know then that the third angle is also 45. This tells us that the sides m and n are of equal length.
With that in mind, we can simply use the Pythagorean theorem to find their values:
m² + n² = (10√2)²
given that m = n, then:
m² + m² = (10√2)²
2m² = (10√2)²
2m² = 100 × 2
2m² = 200
m² = 100
m = 10
So both m and n are equal to 10.
Find each value below.
Answer:
7.) x = 21
8.) y = 6
9.) angle F = 62 degrees
10.) TS = 10
Step-by-step explanation:
5y-2 = 28
5y = 30
y = 6
4x+6 = 90
4x = 84
x = 21
angle F = 90-28
angle F = 62 degrees
3z-8 = z+4
2z = 12
z = 6
TS = z+4 = 10
PLEASE HELP ILL DO ANYTHING
Answer:
B) 2 1/4
Step-by-step explanation:
Answer:
B.2 1/4
C.9/4
Step-by-step explanation:
2 1/4 is what shown
9/4=2 1/4
Triangle ABC is an isosceles with a base AC. The base angles are 60 degrees. Find the length of the base and the length of the altitude from the vertex angle. The length of each leg is 5
Answer:
base =5 because all angles=60, so an equilateral triangle
height=4.33
Step-by-step explanation:
height^2+1/2(5)^2=5^2
height^2+6.25=25
height^2=18.75
height=4.33
1.1
QUESTION 1
Simplify the following without using a calculator
1.1.1 -4 * (8-(-3)) +7
1.1.2 + 55-20-4
Answer:
−36.89
31.22
Step-by-step explanation:
Find the indicated side of the triangle
Answer:
It's a 30-60-90 triangle so x=6
Step-by-step explanation:
Answer:
90 I think bc I saw the right angle
Use addition to solve the system of linear equations. Include all of your work in your final answer.
Answer: No solutions
Step-by-step explanation:
You can either use substitution or elimination
You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions
I will give brainliest. Please help fast! (Solve for number 5)
Answer:
the area of the parallelogram is 120 units
what is GST?
answer fast
Answer:
Goods Serivces Tax
Step-by-step explanation:
Ted, the postman, has 110 letters to deliver. If Ted can deliver 10 letters in 5 minutes,
how long will it take Ted to deliver all his letters?
Answer:
55
Step-by-step explanation:
There are 11 tens in 110, so 11 times 5 is 55.
If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x.
Write the following algebraically using x as your unknown.
“I think of a number, multiply it by 2, subtract 3 and multiply the result by 4”
Answer:
8x - 12
Step-by-step explanation:
Let the number be x
multiply by 2
= x * 2 = 2x
Subtract 3 ;
2x-3
Multiply result by 4
=
4(2x -3) = 8x-12
A triangle has sides represented by 7, x, and x−1. If the perimeter is 28, find the length of the longest side.
Answer:
x (11 unit) is the longest side
Step-by-step explanation:
Given:
Sides;
7, x, and x−1
Perimeter = 28
Find:
Longest side
Computation:
Perimeter = sum of all sides
So,
7 + x + (x -1) = 28
2x + 6 = 28
x = 11
So,
x -1 = 11 - 1 = 10 unit
x (11 unit) is the longest side
To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the area of the rectangle in this composite figure?
A. 23cm
B. 112cm
C. 23cm^2
D. 112cm^2
Answer:
it is b
Step-by-step explanation:
What is the y-intercept of the function below?
y= 2x + 7????
Answer:
(0,7)
Step-by-step explanation:
This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.
From the equation, we see that (0,7) is the y-intercept.
Let me know if this helps!
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15
feet above him. What is Tristan's depth?
A
15 feet below the surface
B
18 feet below the surface
33 feet below the surface
D
48 feet below the surface
(0) А.
OB
OC
OD
Answer: 48 feet below the surface
Step-by-step explanation:
From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.
Tristan's depth will be represented as x.
Therefore, x - 33 = 15
x = 15 + 33
x = 48
Therefore, the answer is 48 feet below the surface.
Answer:
B 18 feet below
Step-by-step explanation:
So subtract 33-15 bechas depth means below and since tristan has less of a depth to go rather than Nick you would subtrac.
Hope this helped! :)
A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus?
Answer:
120000
Step-by-step explanation:
5 x 20 = 100%
6000 x 20 = 120,000
5
A school rewards students for good work by giving them merit points.
James has x merit points.
Sarah has three times as many merit points than James.
Robert has 68 fewer merit points than James.
ETTER
GRADE
Each merit point is worth 3 pence.
All three of the students have a total of £15.81
EFFECT
Work out how many merit points each student has.
Irk
James:
Your
Marks
Sarah:
Robert
Answer:
James = 119 points
Sarah = 357 points
Roberts = 51 points
Step-by-step explanation:
Given that :
James = x points
Sarah = 3x points
Roberts = x - 68 points
Each point = 3 pence
All students have a total of £15.81
1 pound = 100 pence
£15.81 pound = 1581 pence
3x + 3(3x) + 3(x - 68) = 1581
3x + 9x + 3x - 204 = 1581
15x - 204 = 1581
15x = 1581 + 204
15x = 1785
x = 1785 / 15
x = 119
Hence,
James = 119 points
Sarah = 119 * 3 = 357 points
Roberts = 119 - 68 = 51 points
Ir (2p-1,p) is a solution of the equation 9y + 12 = 10x, then find the value of p
Answer:
p = 2
Step-by-step explanation:
Since, (2p-1,p) is a solution of the equation 9y + 12 = 10x.
Therefore, plug x = 2p - 1 & y = p in the above equation.
9p + 12 = 10(2p - 1)
9p + 12 = 20p - 10
12 + 10 = 20p - 9p
22 = 11p
p = 22/11
p = 2
Henry Millie and Francis each have a savings account at the bank angry has $500.00 in his savings account Millie has $50.00 and Francis has $5,000.00 which correctly describes the value of their Banks
A. Henry has 1/10 as much money in his account as Francis and Millie have in their accounts
B. Henry has 10 times as much money in his account as Francis and Millie have in their accounts
C. Millie has 1/10 as much money in her account as Henry has in his account and a 100 times as much money as Francis has in her account
D. Francis has 10 times as much money in her account as Henry has in his account and a 100 times as much money as Millie has in her account
Answer:
d
Step-by-step explanation:
jake travels 6 hours for a total of 444 miles on 20 gallons of gas, rate for gallons and hours.
Answer: 5 gallons per hour.
Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)
[tex]\frac{30/6}{6/6}=\frac{5}{1}[/tex]
Therefore, our answer is 5.
Find the perimeter of the triangle below.
pls help!!!
Answer:
180
--
40*9 / 2
Hope this helps!!!
Tina plans to make wooden frames to put her two triangular art pieces in.
How much wood would she need fortriangle DFG?
Enter your answer in the box.
in.
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
54in
Step-by-step explanation:
i took the test
Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2
Answer: The first 6 terms are = 8, 10, 12,14,16,18
Step-by-step explanation:
The NTH term of an Arithmetic Sequence is given as
an = a1 + (n - 1 ) d
where a1 = First term given as 8 and
d= common difference given as 2
Therefore We have that
the first term
an = a1 + (n - 1 ) d = 8+(1-1) 2
a1= 8
second term=
an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2
= 8+ 2(1) = 10
3rd term
an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2
= 8+ 2(2)= 8 + 4=12
4th term
an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2
= 8+ 2(3)= 8+6=14
5th term
an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2
= 8+ 2(4)=8+ 8=16
6th term
an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2
= 8+ 2(5)=8 +10 =18
Which is the best estimate of the difference between 6 7 8 678 and 2 1 8 218
Answer: C.5
Step-by-step explanation:
HELP ASAP ASAP ASAP ASAP PLS HELP HELP
Answer:
i hope my answer help you
Step-by-step explanation:
1st=8+4=12
2nd the answer is to the nearest 7.06
3rd =2+2³.7=2+13=15
4th=(36÷(4+5))+25=36÷9+25=4+25=29
5th=16÷16+8-3=1+8-3=9-3=6
6th=8-2.4=5.6
A helicopter hovers 1500 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 32 degress. How far off the coast, to the nearest foot, is the island?
Answer:
937 feet
Step-by-step explanation:
tan32 = x/1500
0.625 = x/1500
0.625*1500 = 937.304
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Answer:
e. 9 ft
Step-by-step explanation: