In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.
You invest $500 in an account that pays 6% interest compounded continuously. How
much will be in the account after 6 years?
=====================================================
Explanation:
We'll apply this formula
A = P*e^(r*t)
where,
A = account balance after t yearsP = initial deposit, aka principale = special constant roughly equal to 2.718 but it goes on forever without a pattern; it's better to let the calculator handle this value rather than type the decimal digits in.r = annual interest rate in decimal formt = number of yearsIn this case, we have
P = 500r = 0.06t = 6Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.
So...
A = P*e^(r*t)
A = 500*e^(0.06*6)
A = 716.66470728026
A = 716.66 dollars is the final answer
What is -1/2 times 1/4-3/8?
Answer:
The answer is -0.5
Step-by-step explanation:
2x+1=5x-8 Solving Equations with Many or No Solutions
Hello!
[tex]\large\boxed{x = 3}[/tex]
2x + 1 = 5x - 8
Solve by subtracting both sides by 2x:
2x - 2x + 1 = 5x - 2x - 8
1 = 3x - 8
Add 8 to both sides:
1 + 8 = 3x - 8 + 8
9 = 3x
Divide both sides by 3:
9/3 = 3x/3
x = 3
Answer:
x = 3
Step-by-step explanation:
1. Write the equation
2x + 1 + 5x - 8
2. Add 8 on both sides
2x + 9 = 5x
3. Get the variables together
9 = 3x
4. Solve for x and divide both sides by 3
x = 3
What speed would a plane average on a trip
of 4000 miles that took 6 hours?
(A) 150.0 miles per hour
(B) 666.6 miles per hour
(C) 366.6 miles per hour
(D) 1500.0 miles per hour
Answer:
B) 666.6 miles per hour
Step-by-step explanation:
To solve this question, divide the 4000 miles with the 6 hours to get an answer in units of X miles per hour.
4000 miles/6 hours = 666.6 miles per hour
In the data set below, what are the lower quartile, the median, and the upper quartile?
15 17 41 15 50 55 55 58 62 66
Answer:
its 55
Step-by-step explanation:
PLEASE SOMEONE HELP!!!!
Answer:
Area of Floor= (12*30)+ (20*10)
=360+ 200= 560
Ans C
PLZ ANSWER THIS I CANT FIGURE OUT THE SECOND ONE
(INSTANTANEOUS ROC)
I will give you brainiest if you answer it right
Answer:
Step-by-step explanation:
The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.
Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.
Please help I do not know how to do this
Answer:
About 33% of students prefer chocolate icecream
Step-by-step explanation:
The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.
hope this helps you :/
A triangular prism has a height of 9 meters and a triangular base with the following dimensions.
What is the volume of the prism?
- 420 m^3
- 288 m^3
- 324 m^3
- 432 m^3
Answer:
V = 432 m³
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)
Here b = 16 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²
Then
V = 48 × 9 = 432 m³
.
In the hands of someone with harmful intentions, how can analogies prove to be dangerous tools?
A)Analogies can create long-lasting confusion that prevents people from making decisions.
B)Analogies make significant connections seem far less powerful than they actually are.
C)Analogies meant to persuade or influence people are often disguised as explanations.
D)Analogies, even weak and misleading ones, can be powerful tools of persuasion.
Answer:
I believe, its D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please answer correctly!
answer:
16.24 or 12 square root of 18
Find the volume of the cone round your answer to the nearest tenth
Justine's city took a telephone poll about a plan to build a new hotel downtown. 420 people took the poll. 126 of them were in favor of the new hotel. What percentage of the people polled were in favor of the hotel?
What is the solution of 3x + y = 9 and 3x - 5y = 15?
Answer:
(10/3, -1)
Step-by-step explanation:
So there are two different ways.
First you could address for y and fitting it into the number cruncher. one condition for y1 and another for y2. At that point go second follow and press 5 and afterward press enter multiple times to discover the convergence.
the subsequent path is to tackle by hand. I would recommend address the primary condition for y and attachment the condition tackled for y into the other condition. so y = - 3x + 9 and 3x-5y=15. At that point you could do 3x - 5(- 3x+9) = 15. At long last address for x and plug in x into the two conditions to check whether you get a similar y esteem.
The appropriate response ought to be (10/3, - 1)
Answer:
x = 3 1/3, x = -1.
Step-by-step explanation:
3x + y = 9
3x - 5y = 15
Subtract second equation from the first to eliminate the 3x :
3x - 3x + y - (-5y) = 9 - 15
6y = -6
y = -1.
Plug y = -1 in first equation:
3x + -1 = 9
3x = 10
x = 10/3 = 3 1/3.
Sasha's grandma is going to sew this umbrella for Sasha. The umbrella is made of 4 identical triangles. If each triangle is 3 feet long and 4 feet high, how many square feet of fabric does Sasha's grandma need? Explain how you found your answer.
Answer:
Sasha's grandma will need 48 square feet of fabric to sew the umbrella.
Step-by-step explanation:
Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:
(3 x 4) x 4 = X
12 x 4 = X
48 = X
Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.
Let x and y be inversely related. If x is 5 when y
is 6, find y when x is 3.
Answer:
y=10
Step-by-step explanation:
x=k/y
constant of proportionality
k=xy
k=5*6
k=30
therefore x=30/y
if x=3 y=?
y=30/3
y= 10
A 3 digit number is such that twice the hundreds digit is more than the tens digit by 2.The digit is thrice the hundreds digit.When the digits are reversed, the number is increased by 594.Find the number.
Answer:
The number is -341
Step-by-step explanation:
Let the three digit number be represented as 100a+10b+c
Given
2a -b = 2 ---(1)
a = 3c ----(2)
100a+10b+c - 100c -10b -a = 594
99a -99c = 594 ---(3)
From 2 & 3 , we get -
99*a - (99*3*a) = 594
99*2 a = 594
a = -3
a = 3c, c = -1
2*-3 -b = 2, b = -4
Number is -341
HELP PLZ BRAINIEST TO WHOEVER RIGHT
Answer:
five-number summary
Step-by-step explanation:
Which equation has the solution x = 2?
A 2x-3=19
B 3x+2=8
C 4x-4=-4
D 5x+1=10
Answer:
The answer is B.
Step-by-step explanation:
You can solve this problem by plugging in 2 for x in the given equations.
2(2) - 3 = 19 is false
3(2) + 2 = 8 is true
4(2) - 4 = -4 is false
5(2) + 1 = 10 is false
can yall help me smart people
Answer:
D y>0
Step-by-step explanation:
(0,∞)
PLS HELP ME! . This pattern follows the rule multiply by 3, then subtract 4. What are the next two terms? 5, 11, 29
Answer:
83, 245
Step-by-step explanation:
Using the rule multiply by 3, then subtract 4
a₄ = 3 × a₃ - 4 = 3 × 29 - 4 = 87 - 4 = 83
a₅ = 3 × a₄ - 4 = 3 × 83 - 4 = 249 - 4 = 245
The next 2 terms are 83, 245
Please answer the question below fully will mark brainliest
Answer:
que es eso
Step-by-step explanation:
fuhwiheirj lo siento
what is the difference between 479,310 and 214,991?
Answer:
264,319
Step-by-step explanation:
A difference is a subtraction problem.
Subtract 214,991 from 479,310.
479,310 - 214,991 = 264,319
Which of the following are solutions to the inequality below? Select all that apply.
k ≥ 2
Answer:
as there are no choices I will explain k is 2 or bigger
Step-by-step explanation:
≥ means the number to the left is bigger or the same as the other so that means k is 2 or bigger
tom and tyler race starting at the bottom of their cuboids to reach a crumb in the bottom corner. If they take the fastest route, who wins?
Answer:
tie the answeris tie becauseit says tom AND tyler
Step-by-step explanation:
i think its tie or no one won
balança camereial
im fois apresenta superzonit
que
que, em detinterminads
Comincial
imparts Cats
الدم
۔
de
Answer:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.
Step-by-step explanation:
HELP ME NOW PLS WBAHS
Answer:
8
Step-by-step explanation:
you would add 1+3+4
Answer: The answer is 12
Step-by-step explanation: 4 x 3 x 1 just multiply all the number together
plss help n dont be a B n give me sum gæy link :|
Solve for x
-3x + 6 = 2x - 24
A) -30
B) -6
C) 6
D) 30
Answer:
6
Step-by-step explanation:
ok
Lets start by grouping like terms
we get
-5x=-30
divide -5 from both sides
x=6
Answer:
x = 6 or C) 6
Step-by-step explanation:
Step 1: We will subtract 2x from both sides.
−3x + 6 − 2x = 2x − 24 − 2x
To understand a bit better: -3x - 2x = -5x and 2x - 2x = 0 so it will end up looking like this:
−5x + 6 = −24
Step 2: We will subtract 6 from both sides.
−5x + 6 − 6 = −24 − 6
−5x = −30
Step 3: We will divide both sides by -5.
−5x/−5 = −30/−5
Both will equal to positive 6 so it is your x, I hope this somewhat helped you better understand the equation!
Which expression is equivaien. to 6 (3x + 4)?
Answer:
18x + 24
Step-by-step explanation:
6(3x + 4)
combine like terms
18x + 24
Each day Gianna practices penalty kicks with her older brother as the goalie. Yesterday she made 18/24 of her penalty kicks. Today she plans on shooting 36 penalty kicks. How many penalty kicks would Gianna have to make to successfully shoot an equivalent fraction as yesterday?
Answer: 27
Step-by-step explanation:
Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:
= 18/24 = 3/4 .
If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:
= 3/4 × 36
= 3 × 9
= 27 penalty kicks.