Answer:
155,588
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = growth rate
N = number of years 2021 - 2014 = 7
130,000(1.026)^7 = 155,587.6
rounding off to the nearest whole number is 155,588
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares
Can anyone do this thanks
Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?
Answer:
63462 pies
Step-by-step explanation:
De la pregunta anterior, debemos encontrar el área del sector
La fórmula se da como:
θ / 360 × πr²
Dónde:
θ = 45 °
radio = 402 pies
Área del sector =
45/360 × π × 402²
= 63461.742399 pies
Aproximadamente el área de la ocupada por el parque = 63462 pies
The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.
Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?
Indicate all such statements.
A The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
B The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
C The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.
Answer:
The answer is "Option A"
Step-by-step explanation:
Using the range difference to calculate the maximum and minimum value.
The range of the chinstrap penguins are:
[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]
The range of the Gentoo penguins are:
[tex]R(g) = Max(g) - Min(g) = 15.4[/tex]
For point A:
[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]
equate both of them
[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]
It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).
Therefore, the Max is picked for g for all penguins and the minimum is picked for c.
Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]
Therefore, it will be determined as the option.
For point B:
In estimating the range the median height cannot help.
For point C:
In order to calculate the variety, the connection between both the mean height cannot be sued.
what is the corrct answer
48 ÷ (7 x 5 - 3 x 9) whoever gets the answer right, gets brainliest and 47 points. please help fast!
48 ÷ (7 x 5 - 3 x 9)
= 48 ÷ (35 - 27)
= 48 ÷ 8
= 6
Step-by-step explanation:
only half of your points for each answer ;)
Answer: 6
Step-by-step explanation:
Because of PEMDAS, you do 7x5 which is 35 than 3x9 which is 27. Then you subtract those and get 8. After you finish what's in the parenthesis, you divide 48 by 8 which is 6.
Someone pls answer #3 and 4
Will reward brainliest to the first most accurate answer ASAP.
Answer:
hiii my pic lol (✿^‿^)(✿^‿^)(✿^‿^)(✿^‿^)
ahhh help its PLATO
'la
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
Jessie made 312 energy bars. She puts 24 bars in each bag. She plans to sell the bags for $6 each. How much will she earn if she sells all of the bags? Will give brainliest.
Answer:
she will make 78 dollars
Step-by-step explanation:
312 divided by 24 is `13
13 times 6 is 78
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
please help me solve this..
Answer:
5
Step-by-step explanation:
Let a = number of pieces of chocolate bought by Amin.
Let b = number of pieces of chocolate bought by Bob.
b = 2a
(a - 3)(b - 3) = 14
ab - 3a - 3b + 9 = 14
a(2a) - 3a - 3(2a) = 5
2a^2 - 3a - 6a = 5
2a^2 - 9a - 5 = 0
(2a + 1)(a - 5) = 0
2a + 1 = 0 or a - 5 = 0
a = -1/2 or a = 5
Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.
a = 5
Answer: 5
x/3 + 1/1
pls answer if you know
Answer:
[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]
Step-by-step explanation:
[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]
Answer:
[tex] \frac{x + 3}{3} [/tex]Step-by-step explanation:
[tex] \frac{x}{3} + \frac{1}{1} \times \frac{3}{3}[/tex][tex] \frac{x }{3} + \frac{3}{3} [/tex][tex] \frac{x + 3}{3} [/tex]Hope it is helpful....Write an inequality that represents the graph.
Help plz
Use substitution to determine whether the system below has no solutions, infinitely many solutions, or one solution.
15x + 5y = 20
y = 8 − 3x
Group of answer choices
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
15x+5y=20 8-3x
substitute one unknown quantity into the elimination
15x+5(8-3x)=20
solve the equation
nosolution
if someone answers this i won’t drop out
Answer:
d
Step-by-step explanation:
Multiply the binomials: (8a - 3b) (3a - 8b)
Answer:
24a²-73ab+24b²
Step-by-step explanation:
(8a - 3b) (3a - 8b) =
24a²-64ab-9ab+24b²
= 24a²-73ab+24b²
Use the following function rule to find f(8). f(x) = (-4 + x)2
f(8) =
Answer:
16
Step-by-step explanation:
f(x) = (-4 + x)^2
Let x=8
f(8) = (-4 + 8)^2
Parentheses first
= 4^2
Then powers
= 16
Please help me with this question!!
Answer:
ok so for g times h you would have to foil it and then you would multiply it by f of X
The coordinates of p and q are p(3,5) and q (7,1). Find the gradient of pq
Hi there!
[tex]\large\boxed{\text{Gradient = -1}}[/tex]
We can find the slope using the slope formula:
Slope = (y2-y1)/(x2-x1)
Plug in the given coordinates:
Slope = (1 - 5)/(7 - 3)
Simplify:
Slope = -4/4
Slope = -1
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
Answer:
Two real distinct solutions
Step-by-step explanation:
Hi there!
Background of the Discriminant
The discriminant [tex]b^2-4ac[/tex] applies to quadratic equations when they are organised in standard form: [tex]ax^2+bx+c=0[/tex].
All quadratic equations can be solved with the quadratic formula: [tex]x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].
When [tex]b^2-4ac[/tex] is positive, it is possible to take its square root and end up with two real, distinct values of x.
When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.
When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.
Solving the Problem
[tex]3x^2+5x=-1[/tex]
We're given the above equation. It hasn't been organised completely in [tex]ax^2+bx+c=0[/tex], but we can change that by adding 1 to both sides to make the right side equal to 0:
[tex]3x^2+5x+1=0[/tex]
Now that we can identify the values of a, b and c, we can plug them into the discriminant:
[tex]D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13[/tex]
Therefore, because the discriminant is positive, the equation has two real, distinct solutions.
I hope this helps!
What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? Enter your answer as a decimal in the box. radians
Answer:
17.1972degrees
Step-by-step explanation:
length of an arc = theta/360 * 2πr
Substitute the given angle;
1.2 = theta/360 * 2(3.14)(4)
1.2 = theta/360 * 25.12
1.2/25.12 = theta/360
0.04777 = theta/360
theta = 360 * .04777
theta = 17.1972
Hence the required angle is 17.1972degrees
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
the formula is C=2√πA
so simplifying that would give us c=2(4π)
simplify again and we get c=8π
BNATT73ZGEZZU63F
free reedem code
Thanks! But what is it for??
Answer:
Thanks I got my free thing from this code that points out where to redeem it
Step-by-step explanation:
Jacqui likes to travel to the beach on weekends. She starts at her house, drives d miles, and then spends t hours walking the remaining w miles to get to the beach. Jacqui drives three times as long as she walks during the trip. The equation below represents Jacqui's average speed, a, in miles per hour, when traveling to the beach. a=d+w/3t+t What is the meaning of 3t + t3t+t in the equation above? -The total time that Jacqui spends traveling to the beach -The time that Jacqui spends driving to the beach -The total distance that Jacqui travels to the beach -Jacqui's maximum speed during her trip Jacqui's average speed during one trip to the beach was 3636 miles per hour. If Jacqui drove 70 miles and the entire trip to the beach took her 22 hours, how many miles did she walk to get to the beach?
Answer:
The answer is below
Step-by-step explanation:
1) Average speed is the ratio of the total distance travelled to the total time taken. Hence it is given by:
Average speed = total distance / total time
Total distance = d miles + w miles
Jacqui drives three times as long as she walks during the trip, hence:
time spent driving = 3t
Total time = 3t + t
Average speed = total distance / total time
a = (d + w) / (3t + t)
2) (3t + t) represents the total time that Jacqui spends traveling to the beach.
3) Given that a = 36 miles per hour, total time = 2 hours
a = total distance / total time
36 miles per hour = total distance / 2 hours
total distance = 72 miles
Total distance = distance walk + distance drove
72 = distance walk + 70
Distance walk = 2 miles
if x= 3-2^2 then find the value of x^2+1÷x^2
X = 3-2^2
Simplify x:
3-4 = -1
X = -1
Replace x in the equation and solve:
(-1) ^2 + 1 /(-1)^2
(-1)^2 = 1
Simplify to get 1 + 1/1 = 1+ 1 = 2
The answer = 2
I need this ASAP. Thanks
Answer:
-6
Step-by-step explanation:
since x = - 5 is < 3
for x < 3,
f(x) = 3x + 9
placing the value of x as - 5
f(x) = 3× (-5) + 9
= -15 + 9
= - 6A new car is purchased for 18,000 dollars. The value of the car depreciates at 11.5% per year. What will the value of the car be, to the nearest cent, after 10 years?
Answer:
Step-by-step explanation:
The exponential decay function is
[tex]v(t)=a(b)^t[/tex] where b, the rate of decay, for us is (1 - .115) and a is the original value of the car which, for us, is 18000. t is the time in years. Using this information to write the equation we need to solve for the value when the car is 10 years old:
[tex]v(t)=18000(.885)^t[/tex] and we sub in 10 for t:
[tex]v(t)=18000(.885)^{10[/tex] which simplifies to
v(t) = 18000(.2947356754) so
v(t) = 5305.24
What’s the line of y= -1/2x+2
Answer:
A picture of the graph is attached
Step-by-step explanation:
A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. The barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
What is the sign of -x/-y when x > 0 and y > 0?
Answer:
pretty sure its positive
Step-by-step explanation:
hope this helps, have a great day!
Answer:
A is correct
Step-by-step explanation:
if we know that both x and y are positive, they are both going to be negative
and since we know that, -x divided by -y is the same as saying something negative divided by something negative which is ALWAYS positive because negatives cancel out leaving the answer positive something, something
