Answer:
Growth
Step-by-step explanation:
since the (1.05) is bigger than 1 it is growth but if it was lower then 1 it would be decay .
The exponential function represents the growth and the percentage rate of increase is 5%
What is an exponential function?The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given exponential function y = 920(1.05)ˣ
since the base value of the function is greater than 1 then the function shows growth.
for the rate of increase,
let x = 0 for the initial value
y = 920(1.05)ˣ = 920(1.05)⁰ (a⁰ = 1)
y₀ = 920
now x =1
y = 920(1.05)ˣ = 920(1.05)¹
y₁ = 966
percent increase = 100(y₁ - y₀)/y₀
percent increase = 100(966 - 920)/920
percent increase = 100 x 0.05 = 5%
Hence the growth of function at the rate of 5%.
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A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16t^2 + 5t + 15 to find the time it takes for the ball to reach the maximum height of the ball. Round to the nearest tenth
A. 0.2 seconds
B. 0.1 seconds
C. 0.3 seconds
D. 0.9 seconds
Answer:
0.2 seconds
Step-by-step explanation:
The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward. The maximum value of b(t) occurs at the vertex. The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.
Answer:
A) 0.2 seconds
Step-by-step explanation:
[tex]b(t)=-16t^2+5t+15[/tex]
[tex]v(t)=-32t+5[/tex] <-- Take the derivative
[tex]0=-32t+5[/tex] <-- Set equal to 0
[tex]-5=-32t[/tex]
[tex]\frac{5}{32}=t[/tex]
[tex]t=\frac{5}{32}[/tex]
[tex]t\approx0.2[/tex]
Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).
Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]
pls pls pls help im very behind
the options for A) 0 24.5 39.2 44.1
the options for B are the same for A
Answer: A is 24.5
B is 0
Step-by-step explanation:
The first 3 sec are increasing. On sec 4 it starts to decrease. .
A ream of paper contains 480 sheets. Each sheet is 0.014 cm thick. Find the thickness of the ream of paper.
Answer:
19.2 cm
Step-by-step explanation:
480×0.014
=19.2
Write the other side of this equation so it’s true for all values of x 1/2(6x - 10) - x=
Answer:
i think 1/2(6x-10)-x = 2x-5
Please help me with percentages.
Answer:
I think the answer would be 10%.
Will mark brainly!! :)
If f(2) for f(x) = [tex]\frac{2}{x-1}[/tex]+6 is 8. then what is [tex]f^{-1} (8)[/tex]
Answer:
2
Explanation:
we get inverse functions by interchanging places of domain and range of the original fuction so rhe domain becomes a range and the range becomes a domain.
so if 2 belongs to the domain of the original fuction and its corresponding element in the range is 8, we simply interchange between 2 and 8 in order to solve the fuction without any subistitution in the original function.
A triangle has side lengths of 2 feet, 5.4 feet, and 5 feet. The angle measures are 90 degrees, 73 degrees, 17 degrees. Another triangle has side lengths of 3 feet, 8.1 feet, 7.5 feet. The angle measures are 90 degrees, 73 degrees, 17 degrees. Are the triangles similar? If so, what is the scale factor going from the top triangle to the bottom triangle?
Answer:
Yes. The factor is 3/2 (=1,5)
Step-by-step explanation:
They have all the 3 angles congruent, so they are similar. You calculate the scale factor by dividing the hypotenuse (for example) of the second triangle by the hypotenuse of the first one.
Answer:
1) yes 2) 1.5
Step-by-step explanation:
have a nice day! <:
the probability of selecting a green ball from a bag is a 1 out of 8. If you select 3 balls, what is the probability of at least one of them being green?
Answer:
3/8
Step-by-step explanation:
simply multiply 1/8 by 3/1
3X1 is 3 and 8X1 is 8 so 3/8
(3x-16) = (6x+7) = (11y-32)
Answer:
11y = -32
Step-by-step explanation:
2y-7.4y=141.36
solve for y
Pls help plss
Right answer = Brainliest
Wrong answer = Reported
Answer:
Step-by-step explanation:
1. 15/50 = 3/10
2. 8/24 = 1/3
3. 14/49 = 2/7
4. 6/63 = 2/21
5. 18/81 = 2/9
PLEASE HELP ME
7. (37:10) Kevin finds Buzz's life savings. If Buzz
had $47 and had been saving for 17 years, how
much could we expect him to save in 30 years?
Based on the information given, the amount that he'll be expected to save in 30 years will be $83.
From the question given, since Buzz had $47 and had been saving for 17 years, the amount saved per year will be:
= $47/17
= $2.7647
Therefore, the amount that'll be saved in 30 years will be:
= 30 × $2.7647
= $82.941
= $83
The amount saved will be $83.
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One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?
Answer:
He had $210.1 after deductions.
Step-by-step explanation:
Add his regular pay and overtime pay together
$375.50 + $65.50 = $441
Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.
$441 - $230.90 = $210.1
Can someone help please !
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].
Solve for the 4th root of 16.
16=4*4=(2*2)(2*2)=2
Need help please if anyone one can help me now I will like that. Thanks
mr farmer rectangular land measures 2000 meters by 3000 meters. if he walks around the perimeter of his land, how far does he walk
Answer:
10000 meters
Step-by-step explanation
To find perimeter you add the length of each side of the shape. Since the land is a rectangle there are two pairs that are parrallel, being 2000 and 3000. Making the distance 2000 + 2000 + 3000+ 3000 = 10000
Hope this helps!
Please help I only have an hour.
Answer:
Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]
Step-by-step explanation:
[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]
X = 4 – 1 = 3
Y = 4 – 2 = 2
[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]
Equation of the line:
y = 0.66666666666667x + 1.3333333333333
or
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
When x=0, y = 1.3333333333333
When y=0, x = -2
The width of the rectangle is 50% of its length. What is the area of the rectangle?
Answer:
area = length x half of length
Step-by-step explanation:
whatever the length of the rectangle is, replace it with 'length'
for example if the length was 6cm, it would be:
length x half of length = area
6cm x (6/2) = area
6cm x 3cm = area
18cm² = area
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
the answer should be 2
Step-by-step explanation:
8×13=104
208÷104=2
Answer:
w = 2
Step-by-step explanation:
V_rectangular prism = l * w * h
208 = 13 * w * 8
208 = 104 * w
w = 208/104
w = 2
-Chetan K
Ryan equation for the perimeter
Find two numbers that round to 387.4 when rounded to the nearest tenth.
To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?
Answer:
1100
Step-by-step explanation:
because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100
Answer:
1,100
Step-by-step explanation:
were u get 8 from and 17.6 u need to show ur work
I don’t understand what this question is asking for but here is what I understood.
8 comes after 7 and before 9
17.6 comes after 17.5 and before 17.7
hope it helps…?
. Macy's mom gives her $100 for her birthday. She buys shirts that're $15 each and pairs of pants that're $25 each. Which expression can be used to calculate how much money she has left? (Use s for shirts and p for pants.) *
Answer:
100-(15s+25p)
Step-by-step explanation:
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
What is the area of the figure?
Answer:
doc
Step-by-step explanation:
sdsc
Please answer circle theorem question.
Many thx.
Answer:
x = 125
Step-by-step explanation:
Tangents from an external point to a circle are congruent , that is
CA = CB
Then Δ ABC is isosceles with base angles being congruent
∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°
∠ ABC and x are adjacent angles on a straight line and sum to 180° , so
x = 180° - 55° = 125°
Then x = 125
Are quantity and amount are same thing, if no so tell the difference ?
no spam
Answer:
No Amount should be used when you're talking about a singular noun that CAN'T be measured. ... –Quantity should be used for an inanimate, single or plural noun that CAN be counted or measured.Step-by-step explanation:
Hope this helps you !!!Help me please ******
Answer:
it is
Step-by-step explanation:
The parallel horizontal sides are the same length, so the figure is a parallelogram.
Solve for W
4w^2+9w= -2
Answer:
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]
Step-by-step explanation:
[tex]4w^2+9w=-2[/tex]
[tex]4w^2+9w+2=0[/tex]
[tex]w^2+9w+8=0[/tex]
[tex](w+1)(w+8)=0[/tex]
[tex](4w+1)(w+2)=0[/tex]
[tex]w_1=-\frac{1}{4},w_2=-2}[/tex]