Answer:
13 to 50
Step-by-step explanation:
1). 78 / 300 = 13 / 50 or 26 %
$6000 is invested in an account that earns 4.5% annual interest, compounded continuously. What is the value of the account after 8 years.
Answer:
Convert 4.5% to a decimal. 6000,0.045, 8 years
Step-by-step explanation:
I used math--way
The value of the account after 8 years with continuous compounding is approximately $8593.76.
To find the value of the account after 8 years with continuous compounding, we can use the formula for continuous compounding:
A=P⋅e rt
Where:
A is the amount of money accumulated after
t years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (in decimal).
t is the time the money is invested for, in years.
e is the base of the natural logarithm, approximately equal to 2.71828.
Given:
P=$6000
r=4.5%=0.045 (in decimal)
t=8 years
Substituting the values into the formula:
A=6000⋅e 0.045⋅8
Now, let's calculate this:
A=6000⋅e 0.36
A≈6000⋅2.71828 0.36
A≈6000⋅1.432292989
A≈8593.757934
Rounding to two decimal places, the value of the account after 8 years with continuous compounding is approximately $8593.76, which is slightly different from the provided answer of $8532.60. This discrepancy might be due to rounding differences or calculation variations.
How does the average rate of change for a square root function behave, for
intervals of fixed lengths over the domain, as the endpoints of the intervals
increase?
The average rate of change for a square root function decreases as we look at intervals of fixed lengths over the domain and the endpoints of those intervals increase. This is due to the property of the square root function where it's an increasing function but at a decreasing rate.
Explanation:The average rate of change of a function measures how the output (y-value) changes in comparison to the input (x-value). For a square root function like f(x) = √x, as we look at intervals of fixed lengths over the domain and as the endpoints of those intervals increase, the average rate of change decreases.
This happens because the slope of the tangent line to the function (which represents the rate of change) gets progressively less steep as x increases. Square root functions are increasing functions but at a decreasing rate. For example, the slope between the points (1,1) and (4,2) on the function f(x) = √x is 1/3, but between (4,2) and (9,3), it's 1/5, indicating a decrease in the rate of change.
Learn more about Average Rate of Change here:
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Help Plzzzz
A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 4.5 square centimeters, how tall is the section?
Answer:
3.6 cm
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2)*h
We know the area of 4.5 and the top is 1 and the bottom is 1.5
4.5 = 1/2 (1+1.5) h
4.5 = 1/2 (2.5) h
4.5 =1.25h
Divide each side by 1.25
4.5/1.25 = 1.25h/1.25
3.6 =h
Answer:
[tex]3.6 \: \: cm[/tex]
Step-by-step explanation:
[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Someone answer ASAP please
Answer:
the answer is a
Step-by-step explanation:
distribute the minus sign on the second set of parenthesis and combine like terms
HA
Jin recorded the ages (in years) for a sample of 4 zebras from a wildlife preserve. Here are the ages:
2,9, 14, 15
The mean of these ages is 7 = 10 years.
What is the standard deviation?
Round your answer to two decimal places.
8,
years
Answer:
5.94
Step-by-step explanation:
Given the following information:
Ages of 4 zebras from a wildlife
2,9, 14, 15=> the sample mean of this date is
= [tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
=[tex]\bar X = \frac{2+9+14+15}{4}= 10[/tex]
The standard deviation can be determined by using this formula:
[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}[/tex]
<=> [tex]s = \sqrt{\frac{(2-10)^2 +(9-10)^2 +(14-10)^2 +(15-10)^2}{4-1}} =5.94[/tex]
Angle A and Angle B are
supplementary. ', angle A is 37
degrees, what is the measure of
angle B?
Answer:
143°
Step-by-step explanation:
supplementary = add to 180°
180°-37°=143°
Hope this helps :)
Find the surface area of the following composite shape.
Answer:
130.3 ft²
Step-by-step explanation:
Surface area is the sum of areas of outer faces
2 rectangles + 2 triangles + curved surface area of the cylinder
2(4×6) + 2(½×6×5) + 2×3.14×(2/2)×4
48 + 30 + 25.12
103.12 ft²
The bar graph shows the number of students who earned each letter grade on a written report.Which statement about the graph is true?
It's probably A (I can't tell you for certain, because I can't see the image, but the other options seem illogical).
The bar graph presents the number of students who received each letter grade on a written report, enabling a clear comparison of quantities.
The statement about the graph that is true: The bar graph displays the number of students who earned each letter grade on a written report, making it suitable for comparing quantities. For example, the bar that represents the number of students who received an A appears to be shorter than the bar for students who received a C, indicating fewer students got an A.
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x-7)
f(x) = (x + 2)(x + 7)
f(x) = (x – 3)(x + 7)
f(x) = (x + 3)(x – 7)
Answer: f(x) = (x + 3)(x – 7)
Step-by-step explanation: Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)
f(x) = a(x-h)² + k from vertex, h is 2 y is -25 from intercept, x is 7 f(x) is 0
to find a, 0 = a(7-2)² +(-25) 0 = a(7-2)² -25 add 25 to both sides
25 = a(5)² 25 = 25a 25/25 = a 1=a (seems useless but verifies implied "a"coefficient is 1)
f(x) = a(x-h)² + k solve to get the quadratic form
f(x) = (x-2)² -25 (x - 2)² is x² -4x +4
f(x) = x² -4x +4 -25 simplify
f(x) = x² -4x - 21 then factor
f(x) = (x + 3)(x - 7)
Answer:
f(x) = (x + 3)(x - 7)
PLEASE SIMPLIFY! 30 Points!!!
[tex] \frac{3 \sqrt{5} }{ \sqrt{15} } = 3 \times \sqrt{ \frac{5}{15} } = \frac{3}{ \sqrt{3} } \\ [/tex]
Someone help in math?
Answer:
10.44
Step-by-step explanation:
two coordinates are (1,-1) and (-9,-4)
use the distnce formula = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
The population of Portland Oregon has recently grown to more than 500,000. What is the order of magnitude for the number of people in Portland?
Answer:
Order is 6
Step-by-step explanation:
The population of Portland Oregon has recently grown to more than 500,000.
The order of magnitude for the number of people in Portland means the power of 10. It means that we need to write 500,000 in form of 10 to the power. So,
[tex]P=500,000[/tex]
It contains 6 zeroes. It means,
[tex]P=5\times 10^6[/tex]
So, the order of magnitude for the number of people in Portland is 6.
i need help please
Answer:
-6
Step-by-step explanation:
The y-int is the point where the line crosses the y axis
Going by intervals of 2, it crosses at -6
:)
Below is the graph of a trigonometric función. It has a maximum point at (-pi, 6.8) and a minimum point at(pi,1.2)
What is the midline equation of the function?
Answer:
4
Step-by-step explanation:
trust me bro
Can someone help me please
Answer:
x = 39
Step-by-step explanation:
To solve for x, we have to get it by itself in the equation.
In this problem, we have to do the opposite of subtraction and add 36 to the left and right side of the equation.
3 + 36 = x - 36 + 36
36 + 3 is equal to 39 and -36 + 36 cancels out.
This leaves us with 39 = x.
kala is in charge of planning a reception for 3400 people. she is trying to decide which snacks to buy. she has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results Brownies for 54 people, pretzels for 56 people potato chips for 52 people other for 63 people. based on the above sample predict the number of the people at the reception whose favorite snack will be brownies. round your answer to the nearest whole number. do not round any intermediate calculations
Answer:
816
Step-by-step explanation:
Find total number of people asked by adding all the people.
54 + 56 + 52 + 63 = 225
So, 54 out of 225 people have their favorite snack as brownies.
We need to find out how many it is for 3,400. We can do that by cross multiplying.
54 = x (did it like this so it's better visually)
225 3400
Multiply both sides by 3,400 and divide to get:
x = 816
47 points!!!!!!
if one zero is irrational, the other zero is:
-ration
-irrational
-non real
Answer
non real
Step-by-step explanation:
Answer:
non real
Step-by-step explanation:
What is the discriminant D of the equation?
n2+2n−2=0
Enter your answer in the box.
D =
Answer:
12
Step-by-step explanation:
Hint: This should be n^2+2n−2=0. The coefficients are a = 1, b = 2 and c = -2.
The discriminant is b^2 - 4ac = 4 - 4(1)(-2) = 12
1 point
11. What is the lateral surface area of the rectangular pyramid below?
19 ft
18 ft
8 ft.
20 ft
Answer:
684 ft^2
Step-by-step explanation:
You can find the area of the middle rectangle by using:
[tex]A=LW[/tex]
[tex]A=18*20[/tex]
[tex]A=360[/tex]
You can find the area of a triangle by using:
[tex]A=\frac{BH}{2}[/tex]
Triangle 1: A=90
Triangle 2: A=72
2(72+90)+360
324+360
684
idk if my answer is right pls help will give like and brainliest
Answer:
Yes that would be correct!
Step-by-step explanation:
You need 5a and 34 are needed in the equation and so is the x symbol
Answer:
Step-by-step explanation:
I need help on both of these math problems
Answer:
How do I do this. Also What Grade are you in so I can better help you.
Step-by-step explanation:
I'm Very Sorry.
In a particular game, a spinner with four equally-sized sectors labeled 1, 4, 6, and 8 is spun twice. One turn is considered 2 spins of the spinner.
If the sum of the spins is even, you move forward 6 spaces. Otherwise, you move back 2 spaces.
What is the mathematical expectation for the number of spaces moved in one turn?
3 spaces forward
1 space backward
3 spaces backward
1 space forward
Answer:
P(sum is even) = 1/16 + 9/16 = 10/16
= 5/8
P(sum is odd) = 3/8
E(x) = (5/8)(6) + (3/8)(-2) = 3
The mathematical expectation for the number of spaces moved in one turn is 3 spaces forward.
A sample of bacteria was placed in a petri dish. The number of bacteria changes exponentially over time.
The graph describes the number of bacteria over time in hours).
Answer:
50
Step-by-step explanation:
Its initial size was 50, because that is the y-intercept. From 50, it increases, so it can't be anything above 50.
Answer:
Step-by-step explanation:50
Find the slope of the line between these two points.
(−4, 7), (−6, −4)
Answer:
5.5
Step-by-step explanation:
gradient = (7-(-4))/(-4-(-6)) = 11/2 = 5.5
Suppose a normal distribution has a mean of 26 and a standard deviation of
4. What is the probability that a data value is between 28 and 35? Round your
answer to the nearest tenth of a percent.
O A. 27.6%
O B. 29.6%
O c. 23.6%
OD. 25.6%
Answer: 29.6%
Step-by-step explanation:
A cone with radius
2
22 units is shown below. Its volume is
29
2929 cubic units.
Find the height of the cone.
Answer:
6.9
Step-by-step explanation:
Can you guys help me with this question?
If the number of bacteria in a colony doubles every 105 minutes and there is currently a population of 45 bacteria,what will be the population by 315 minutes from now?
Answer:
180
Hope this helps :)
360
Step-by-step explanation:
1st minute => 45 bacteria
105th minute => 45 x 2 = 90 bacteria
210th minute => 90 x 2 = 180 bacteria
315th minute => 180 x 2 = 360 bacteria
PLZ HELP ME ITS 5:00 AND ITS DUE AT 6:00 PLZ HELP
Answer:
your answer is d (-0.75, -1.0)
Answer:
(-.75, -1)
Step-by-step explanation:
Draw a line down from V and to the left from t and see where they meet
The x coordinate is the same for V and the Y coordinate is the same as T
(-.75, -1)
what is the area of this triangle?
Answer:
i think it's 16
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The bottom triangle is a 3,4,5 meaning that 8 being the whole base minus 3 is 6. The height of the triangle is 4, 6*4 is 24. 3*4 is 12. When you combin ethem together you get 36.