Answer:
1:3
Step-by-step explanation:
A person places $6520 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a nfitural
logarithm, and r is the rate of interest, determine the amount of money, to the nearest
cent, in the account after 3 years.
Given:
Principal value = $6520
Annual rate of interest = 2.5% compounded continuously.
Time = 3 years
To find:
The amount of money after three years.
Solution:
Formula for the value of the amount is:
[tex]V=Pe^{rt}[/tex]
Where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.
Putting [tex]P=6520,r=0.025,t=3[/tex], we get
[tex]V=6520e^{(0.025)(3)}[/tex]
[tex]V=6520e^{0.075}[/tex]
[tex]V=7027.80466[/tex]
[tex]V\approx 7027.80[/tex]
Therefore, the amount of money after three years is about $7027.80.
In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million people every four days). The world population was estimated to be 5.3 billion in 1990. Use the linear model to predict the world population in 2025. a. According to the model, in 2025 the world population will be 84,937,500,000 b. According to the model, in 2025 the world population will be 8,493,750,000 c. According to the model, in 2025 the world population will be 5,302,607,000 d. According to the model, in 2025 the world population will be 8,037,500,000
Answer:
According to the model, in 2025 the world population will be 8,493,750,000
Step-by-step explanation:
Rate at which population was growing per year = 0.09125 billion
Initial population figure in 1990 = 5.3 billion
World population prediction in 2010 ;
Predicted population figure :
Initial population + (population growth value per year * number of years)
number of years = (2025 - 1990) = 35 years
Predicted population figure in 2025 :
5.3 + (0.09125 * 35)
5.3 + 3.19375
= 8.49375 billion.
8,493,750,000 by 2025
Answer:
b
Step-by-step explanation:
edge 2021
The graph of f(x)=cos(x) is transformed into a new function, g(x), by stretching it vertically by a factor of 3 and shifting it 2 units up.
What is the equation of the new function g(x)?
Enter your answer in the box
g(x)=
Answer:
I think 3cosx+2 would be g(x)
I need help checking over this
Answer:
3
Step-by-step explanation:
2xy⁴ + 2x²y - 3y² + 10x³
In descending order
2xy⁴ + 10x³ + 2x²y - 3y²
Now, In this polynomial the second term is 10x³ and it's degree is 3
Thus, The answer is 3
-TheUnknownScientist
PLEASE HELP!!! ITS DUE TODAY AND IM THE ONLY ONE WHO NEEDS TO FINISH IT
Answer:
1. C 2.H 3.G 4.E 5.B 6.D 7.A
Step-by-step explanation:
1. C
2.H
3.G
4.E
5.B
6.D
7.A
Leave a like if this answered your question.
I will mark braliest if you answer and no links pls.
Answer:
You are correct.
Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3
Answer:
No solution.
Step-by-step explanation:
y = -2x + 1
y = -2x + 3
y can't be equal to two different values at once.
A and B are both positive integers. Which expression is equivalent to - A-(-B)?
B-A
-A-B
A-B
A+B
Help
Answer: B-A
Step-by-step explanation:
We know that it is -A - (-B)
The negative sign on the A stays as it is, eliminating choices A-B and A+B.
For the sign in front of B, a double negative creates a positive. - (-B) is essentially -1 x -B, which is B. You can check this through your calculator.
Therefore, the answer is -A+B, or B-A. Hope it helps!
Which expression is equivalent to 50 – 40 - 2?
Answer: = 8
Step-by-step explanation: Hope this help :D
HELP ASAP!! No links or photos please. Don't answer if you don't know it
1 ) Determine if the following side lengths represent a right triangle.
.
a=3
b=5
c=9
a
Yes
b
No
Answer:
b no
Step-by-step explanation:
c^2 =[tex] \sqrt{a {}^{2} +b {}^{2}}
9 + 25 \: is \: not =81[/tex]
For Bill's birthday his mom is bringing donuts to school.
She has a coupon to get 2 dozen donuts for $8.00.
How much would just one dozen donuts cost at this price?
Let c represent the cost of the donuts.
Equivalent ratios:
One dozen donuts would cost
Which of these strategies would eliminate a variable in the system of equations?
10x + 4y = -2
52 - 2y = 2
Choose all answers that apply:
A
1
Multiply the top equation by
2
then add the equations.
Add the equations.
Multiply the bottom equation by 2, then subtract the bottom equation from the top equation.
A laundry basket has 24 t-shirts.Four are navy,12 are red,and the remaining are white.what is the probability of selecting a green shirt?
Answer:
0%
Step-by-step explanation:
Because theres no green shirts in the basket.
Colin is training for a triathlon and needs to swim a certain distance for today's workout. If he swims at the rec center pool, he will complete a 264-yard warmup and then swim laps in a lane that is 34 yards long. If Colin swims at the indoor pool at his gym, he will complete a 120-yard warmup, plus a main set that consists of 35 yards per lap. If Colin swims the correct number of laps, he can complete the same distance in either pool. How long will Colin's workout be in total? How many laps will that take?
Answer:
Jason is training for a triathlon and needs to swim a certain distance for ... If he swims at the rec center pool, he will complete a 200-yard warmup and then swim laps in a lane that is 20 yards long. If Jason swims at the indoor pool at his gym, he will complete a ... How long will Jason's workout be in total? 1.
Step-by-step explanation:
what is “four is an even number” in mathematical sentence?
Answer:
4 is even; 4 can be divided by 2 and the quotient is whole.
Step-by-step explanation:
If a number is even, it can be divided by 2 and the quotient is a whole number. 4 can be divided by 2 and the quotient is whole, so we can say 4 is even.
The given statement is true.
The given statement is “four is an even number”.
What is an even number?Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2. For example, 2, 4, 6, 8, 10, and so on.
The statement “four is an even number” is true.
Therefore, the given statement is true.
To learn more about an even number visit:
https://brainly.com/question/13015902.
#SPJ1
Barry's family traveled 5 7 of the distance to his uncle's house on Saturday. They traveled 1 2 of the remaining distance on Sunday. What fraction of the total distance to his uncle's house was traveled on Sunday?
Answer: [tex]\dfrac{1}{7}[/tex]
Step-by-step explanation:
Suppose total distance is [tex]x[/tex]
Distance traveled on Saturday is [tex]\frac{5}{7}[/tex] of total distance i.e.
[tex]\Rightarrow \dfrac{5}{7}\times x=\dfrac{5x}{7}[/tex]
Remaining distance is
[tex]\Rightarrow x-\dfrac{5x}{7}=\dfrac{2x}{7}[/tex]
Distance traveled on Sunday is
[tex]\Rightarrow \dfrac{1}{2}\times \dfrac{2x}{7}=\dfrac{x}{7}[/tex]
Now, the fraction of the total distance traveled on Sunday is one-seventh
[tex]\Rightarrow \dfrac{1}{7}[/tex]
What is a simpler form of (3x+1)(x+4) ?
Answer:
That is the simplest form.
Step-by-step explanation:
[tex]3x^2+13x+4[/tex] = (3x+1)(x+4)
Answer:
The equation is already simplified!
Step-by-step explanation:
credits to the user jlinnartz for pointing out my mistake! kudos to the explanation above!!! :)
Find the area of the triangle.
A. 90m2
B. 67.5m2
C.45m2
D.33m2
Answer:
Step-by-step explanation:
Answer:
45 m²
Step-by-step explanation:
6 x 15 x 0.5 = 45
identify the arc length of TV◠ in terms of π.
Answer:
3.67
Step-by-step explanation:
A window is in the shape of a kite. Caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. What are the dimensions of the layer of film he will apply?
Show Your Work And Hurry I Have 30 Minutes. A kite is broken into 2 triangles. Each triangle has a base of 18 inches and a height of 7 inches.
9 inches in width and 7 inches in height
9 inches in width and 14 inches in height
18 inches in width and 7 inches in height
18 inches in width and 14 inches in height
Answer:
C) 18 inches in width and 7 inches in height.
Answer:
C.
Step-by-step explanation:
hope it helps
if g(x)=11x+3 find g(x+7) and g(x)+g(7).
Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
SOMEBODY PLZ ANSWER!
This graph is from a publication of the Centers for Disease Control and Prevention (2017). The y-axis shows the percentage living with diabetes.
The Board of Directors of a medical school wants to use the trend to predict the percentage in 2020 so that they can help train enough doctors to handle the growing numbers. Use a visual estimate of the line of best fit to make a prediction. Do you think your estimated line of best fit will be accurate? Explain why or why not.
Answer:
My estimate is around 16 million cases by 2020
Step-by-step explanation:
I used the formula of rise over run
(The "Rise over Run" formula is y2-y1/x2-x1)
I used 2010's total of cases 22 million and 1960's 4 million
Now I subtract 2010 and 1960
Which is 40 or 4 in this case
Then I subtracted 22 million by 4 million which is 5.5
Round 5.5 to 6 (Since it is an estimate)
Divide 6 and 4
6/4= 1.5 which I rounded to 2 million now I start at 1960's 4 million case and add 2 million for 10 year or multiply 6 by 2 which is 12 and add it by 4 which is 16
Hence 16 million
Hope this helps
Determine the zeros of the quadratic function
f(x) = (x + 6)^2 – 9
[tex]{ \huge{ \underline{ \rm{Given}}}}[/tex]
[tex]{ \large{ \sf{f(x) = (x + 6) {}^{2} - 9 = 0}}}[/tex]
[tex]{ \large{ \bf{ \underline{Formula = { \underline{a {}^{2} - b {}^{2} = (a + b)(a - b)}}}}}}[/tex]
[tex]{ \large{ \sf{(x + 6) {}^{2} - (3) {}^{2} = 0}}} [/tex]
[tex]{ \large{ \sf{(x + 6 + 3)(x + 6 - 3) = 0}}}[/tex]
[tex]{ \large{ \sf{(x + 9)(x - 3) = 0}}}[/tex]
[tex]{ \large{ \therefore{ \sf{Zeros = x ={ \boxed{ \sf( - 9 \: \: and \: - 3)}}} \: \: Ans.}}}[/tex]
D'wayne plans to wallpaper 72.5% of a 60-square-foot wall. how many square feet of the wall does D'wayne plan to wallpaper? find 72.5% of 60.
Answer:
D'wayne plans to wallpaper 43.5 square feet of the wall.
Step-by-step explanation:
72.5% = 72.5/100 = 0.725
mulitiply that by 60
= 43.5 square feet
which expression is equivalent to(4-2x)(4+2x)?
a. (16- 2x)²
b. (16+2x)²
c. 4-4x²
d. 16-4x²
e. 16-8x+4x²
f. 16-8x-4x²
g. 16-16x-4x²
Answer:
d. 16 - 4x^2
Step-by-step explanation:
(4-2x)(4+2x)
= 16 - 4x^2
A bag contains 4 red marbles and 2 white marbles. A marble is selected, returned to the bag, and then another marble is selected. Find P(red, then white).
Answer:
2/9
Step-by-step explanation:
This year, a ticket to the opening day of an amusement park costs $156. Three years ago, the cost was $74. What is the percent of change?
A: 52.6% increase
B: 52.6% decrease
C: 110.8% increase
D: 110.8% decrease
(please help I'm begging ya'll ;-;)
Guys help me plsss :((((
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please help!!
I don’t know what to do
Answer:
x = 14.4
Step-by-step explanation:
Similar means that the figures are proportional to each other. Because of this, we can form a problem. [tex]\frac{9}{5}[/tex] (the short side lengths) = [tex]\frac{x}{8}[/tex] (the long side lengths). Now we can solve this by cross-multiplying. If we multiply 9 · 8 we get 72, and 5 · x is 5x. 72 = 5x. Now divide both sides by 5. 72 ÷ 5 = 14.4. Therefore, x should be equal to 14.4. Does this make sense?
6 in.
Find the volume of this
Cylinder.
10 in.
cubic inches
Volume of Cylinder = ar2 x h
Use 3.14 for a.
Do NOT round your answer.
======================================================
Work Shown:
r = 6 = radius
h = 10 = height
pi = 3.14 approximately
[tex]V = \pi*r^2*h\\\\V = 3.14*6^2*10\\\\V = 1130.4[/tex]
The volume of the cylinder is approximately 1130.4 cubic inches.
