The exponential function to model the predicted value of Bruce's investment account is
y = 6225 * 2^x.
What is an exponential function?The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
here, we have,
we know that,
An exponential function is written in the form - y=a*(b)^x
Here, y is the function, a is the base value b is the rate and x is time period.
now, we have,
from the given information, we get,
This equation uses the initial value of the account (6225)
and the base of the exponent (2) representing the account will double in value every decade.
if, we have,
the predicted value of Bruce's investment account is y.
time period is, x decades after starting the account.
So, the exponential equation will be -
y = 6225 * 2^x.
Therefore, the exponential equation is .
y = 6225 * 2^x.
To learn more about exponential function from the given link
brainly.com/question/12626186
#SPJ2
Please answer the question below
Someone please help!!! Due tonight, I’ll give brainliest!!!
Answer:
2 * 0.75 + 0.50 + 4 * 1.25
$7.00
Step-by-step explanation:
Expression
2 * 0.75 + 0.50 + 4 * 1.25
Evaluate
1.50 + 0.50 + 5.00
$7.00
Find the exact value of sin 0 if cos 0=-2/3 and 90º < 0 < 180°
Answer:
sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]
Step-by-step explanation:
cos = adjacent side/hypotenuse
Then, in a right triangle the adjacent = 2 and the hypotenuse = 3
By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2
9 - 4 = 5
opposite side = [tex]\sqrt{5}\\[/tex]
sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]
An easier way is to find sin(arccos (-2/3) = [tex]\frac{\sqrt{5} }{3}[/tex]
Note: Remember that the sin is positive in the 2nd quadrant.
What is the sum
No links please
Answer:
Step-by-step explanation:
he total amount resulting from the addition of two or more numbers, amounts, or items
Answer:
(2/5x+1/5x)+(5/8-1/4)
3/5x+(5/8-2/8)
3/5x+3/8
Solve.
7 Jordan shoots 100 3-point shots per basketball practice.
She makes 44 of these shots. What decimal represents the
number of shots she makes?
8 At a county fair, 9 people out of 1,000 earned a perfect score
in a carnival game. What decimal represents the number of
people who earned a perfect score?
Answer:
7. .44
8. .009
Step-by-step explanation:
7. 44 ÷ 100 = .44
8. 9 ÷ 1000 = .009
In March 2012, film director James Cameron climbed inside the Challenger Deep and descended into the deepest part of the Pacific Ocean, the Mariana Trench. After 12hour, the craft was approximately 2,750 meters beneath the ocean surface. Which equation describes the depth of the Challenger Deep in relation to sea level after 1 hour if they continue to descend at the same rate?
Answer:
hey guys!! answer is B!!
Step-by-step explanation
hope this helps!
Answer:
b give brainest
Step-by-step explanation:
May someone help me please ? I don't really understand this, and I need it turned in.
9514 1404 393
Answer:
x^2 +y^2 +6x -18y +65 = 0
Step-by-step explanation:
The short of it is that you're being asked to rewrite each of these standard-form equations into general form: f(x,y) = 0.
It can save you a little effort if you recall that the square of a binomial is ...
(a +b)² = a² +2ab +b²
Otherwise, you would use the distributive property to get ...
(a +b)(a +b) = a(a +b) +b(a +b)
= a² +ab +ab +b²
= a² +2ab +b²
__
For the given equation, expanding the squares gives ...
(x +3)² +(y -9)² = 5²
(x² +6x +9) +(y² -18y +81) = 25 . . . . . expand the squares
x^2 +y^2 +6x -18y +65 = 0 . . . . . . . . subtract 25; put in order of decreasing powers of the variables
Which of the following terms correctly describe the object below?
Check all that apply.
A. Square
B. Solid
C. Cube
D. Polygon
E. Prism
F. Pyramid
Its a solid and a cube
You were wrong with square because a square only has one face while a cube has 6.
You were also wrong with polygon because while polygons are 1-dimensional a cube is 3-dimensional
The following terms correctly describe the given object Square, Solid, Cube, Polygon.
Options A, B, C, D are correct.
What is a cube?A cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.
Square is a figure in which all four sides are equal.
Solid is a three dimensional figure.
A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Polygon is two dimensional figure with straight lines.
The following terms correctly describe the given object Square, Solid, Cube, Polygon.
Options A, B, C, D are correct.
Find out more information about cube here
https://brainly.com/question/14075440
#SPJ2
please help me with this!!
Answer: The answer is no, they are not proportional
Step-by-step explanation:
Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05
Find the missing length of the right triangle.
Jessica and Josh are selling entertainment books to raise money for the art room after school one book sells for $18 Jessica receive the prize for selling the most books in the school Jessica sold 13 times more books than Josh together they sold 280 books how many did each of them sell
Based on the question above, Jessica sold 260 books and Josh sold 20 books.
What is the math equation about?Let x be the number of books Josh sold
We know that:
Jessica sold 13x books
Together they sold 280 books
So we can set up an equation:
x + 13x = 280
14x = 280
x = 20
Josh sold 20 books
Jessica sold 13 * 20 = 260 books
Therefore Jessica = 260 books sold and Josh = 20 books sold.
Learn more about math equation from
https://brainly.com/question/17145398
#SPJ1
Simplify.
8-3(4-2x)
i’ll mark brainliest :)
Answer:
A. 6x - 4
Step-by-step explanation:
[tex]\sf 8-3(4-2x)[/tex]
Distribute:-
[tex]\sf 8+(-3)(4)+(-3)(-2x)[/tex]
[tex]\sf 8+-12+6x[/tex]
Combine Like Terms:-
[tex]\sf (6x)+(8+-12)[/tex]
[tex]\sf 6x+-4[/tex]
** + * - = -**
[tex]\sf 6x-4[/tex]
Therefore, option A. 6x - 4 is your answer!
_____________________
Hope this helps!
Have a great day!
what is the y-intercept of a line that passes through the points (2, -2.5) and (4, -2)?
Answer:
Step-by-step explanation:
To find the y-intercept, we can use the slope-intercept form of a linear equation which is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Since the line passes through the points (2, -2.5) and (4, -2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
To find the slope(m) we can use the rise over the run formula ,
m = (y2 - y1) / (x2 - x1) = (-2 - (-2.5)) / (4 - 2) = -0.5
then we can substitute the values in point-slope form
y - (-2.5) = -0.5 (x - 2)
And now we can use x = 0,
y = -0.5(0-2) -2.5 = 1.5
so the y-intercept of the line is 1.5
PLEASE I NEED HELP EVEN IF ANSWERED
Rewrite
5^2=25
as a logarithmic equations
Answer:
Step-by-step explanation:
Take the log of both sides:
log (5^2) = log 25, or
2 log 5 = log 25 or 2 log 5
Note that 5^2 = 25 is always true.
The admission fee to the carnival is $4. 50 for children and $7. 25 for adults. If a large group purchased 28 tickets and paid $159 how many adult tickets did they purchase?
The number of adult tickets purchased is 12.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Let no. of adult = x
No. of children = 28 -x
So, 7. 25 * x + (28 - x) *4. 50 = 159
⇒2.75x +126=159
⇒2.75x =33
⇒x=33/2.75
x=12
Hence, the number of adult tickets purchased is 12.
Learn more about arithmetic, by the following link.
https://brainly.com/question/13181427
#SPJ4
Please help thank you
Answer:
True
True
False
What is the volume of a
rectangular prism that has
a height of 3 inches, a
length of 7 inches, and a
width of 4 inches?
Answer:
84in
Step-by-step explanation:
Solve the equation.
4(x + 2) = 40
Answer:
X=9
Step-by-step explanation:
4x+8=40
4x=40-8
4x=32
X=9
Answer:
[tex]\small\mathfrak\green{here \: is \: your \: solution...} \\ \\ \small\mathfrak\green{4(x + 2) = 40} \\ \\ \small\mathfrak\green{4x + 8 = 40} \\ \\ \small\mathfrak\green{4x = 40 - 8 } \\ \\ \small\mathfrak\green{4x = 32} \\ \\ \small\mathfrak\green{x = 32 \div 4} \\ \\ \small\mathfrak\green{x = 8}[/tex]
[tex]\small\boxed{\mathfrak{ Hope \: it \: helps ....}}[/tex]
Your bike was originally purchased for $1,200. It loses about 8% of its original value each year. Write an equation to represent this exponential function with appropriate values.
Answer:
y= 1200(0.92)^x
Step-by-step explanation:
Given data
Cost price= $1200
Rate of decrease= 8%
Let the time be x
The expression that describes an exponential function is
y= ab^x
for decrease b= 1-r
y= 1200(1-0.08)^x
y= 1200(0.92)^x
Hence the expression is
y= 1200(0.92)^x
witch are linear and witch are not linear!?
Step-by-step explanation:
a linear relationship or function is described by
y = ax + b
that means that the difference from one y value to the next is defined by a constant ratio of y diff / x diff.
so, the first one is not linear.
because the difference ratios are not constant :
(1-0)/(1-0) = 1
(4-1)/(2-1) = 3
(9-4)/(3-2) = 5
the second one is linear.
the difference ratios are constant :
(1-0)/(1-0) = 1
(4-1)/(4-1) = 1
(9-4)/(9-4) = 1
the third one is not linear.
the difference ratios are not constant :
(3-1)/(3-2) = 2
(9-3)/(4-3) = 6
(27-9)/(5-4) = 18
the fourth one is linear.
the difference ratios are constant :
(5-1)/(4-2) = 4/2 = 2
(9-5)/(6-4) = 4/2 = 2
(13-9)/(8-6) = 4/2 = 2
The number of students at the start of the week that had a late library book was 200 students. By the end of the week there were only 80 students with a late library book? Is it a increase or decrease in by what percentage? 
On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is 500
obtained is 400
so, percentage - 400/500 X 100 = 80%
To know more about percentage visit:
https://brainly.com/question/29306119
#SPJ1
Do anybody know what this is need to do this by today D=29m
Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.
The solution is Option B.
Noise is easily filtered out without damage to the original signal because a narrow range of values is expected
What are digital signals?A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals
The three types of digital signals are
Continuous-Time/Analog Signal
Discrete-Time Signal
Digital Signal
Given data ,
The digital signals are a more reliable way to encode and transmit information than analog signals
Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity
The digital devices only record pieces of sound waves, not full waves.
Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.
Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected
To learn more about digital signals click :
https://brainly.com/question/22717116
#SPJ1
John worked out the problem below but got the wrong answer:
X + 18 < 22
X + 18 + 18 < 22 + 18
X<40
Explain his mistake and correct the problem for him.
Your answer:
Answer:
Step-by-step explanation:
He added 18 on both sides instead of subtracting 18 on both sides
X+18-18<22-18
X<4
The following are the ages (years) of 5 people in a room:
13, 13, 19, 23,19
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?
Answer:Answer:
the added person age is 26
Step-by-step explanation:
let the added person age is A
the six person mean is (23+19+12+21+13+A)/6=19
=> 88+A/6=19
=>A=(19×6)-88
there fore A=26
Answer:
39
Step-by-step explanation:
13 + 13 + 19 + 23 + 19 + x = 21
6
Combine like terms
(87 + x) / 6 = 21 Multiply both sides by 6
(87 + x ) = 21 * 6
87 + x = 126 Subtract 87 from both sides
x = 126 - 87
x = 39
The 6th person entering the room was 39
There are 9 red, 5 yellow, and 7 green jellybeans in a jar. Without replacement what is the probability of choosing a green jellybean followed by a red jellybean?
Answer:
3/14 chance first draw
Step-by-step explanation:
There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.
Probability the 1st draw is red = 3/14.
Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.
Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.
3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.
A square rug has an area 44ft. Power of 2Write the side length as a square root. Then decide if the side length is a rational number.
Answer: [tex]2\sqrt{11}\ ft[/tex], Irrational number
Step-by-step explanation:
Given
The square rug has an area of [tex]44\ ft^2[/tex]
The area of the square rug is [tex]\left( \text{Side length}\right)^2[/tex]
Suppose the side length is [tex]x[/tex]
[tex]\therefore x^2=44\\\Rightarrow x=\sqrt{44}\\\Rightarrow x=2\sqrt{11}\ ft[/tex]
As [tex]\sqrt{11}[/tex] is irrational, therefore, [tex]2\sqrt{11}[/tex] is not a rational number.
Water in a swimming pool is treated with two chemicals mixed in the ratio of 5: 4. The total volume of the chemicals is 48 litres. How much of each chemical is used?
d minus 2 = 4.6 please help meeee im not good at mathhh
[tex]d-2=4.6[/tex]
Add 2 to both sides:
[tex]d-2+2=4.6+2[/tex]
[tex]\fbox{d = 6.6}[/tex]
5. Refer to the figure below. (show work)
Given: UVWX is a parallelogram, m
A. Find m
B. Find UV.
C. Find m
D. Find YW.
Answer:
see explanation
Step-by-step explanation:
A
∠ UVX and ∠ WXV are alternate angles and are congruent , then
∠ UVX = ∠ WXV = 15°
∠ WVU = ∠ WVX + ∠ UVX = 24° + 15° = 39°
B
opposite sides of a parallelogram are congruent , then
UV = XW = 36
C
consecutive angles are supplementary , sum to 180° , then
∠ XUV + ∠ WVU = 180° , so
∠ XUV + 39° = 180° ( subtract 39° from both sides )
∠ XUV = 141°
D
diagonals bisect each other , so
YW = UY = 10