$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double
Answers
Answer:
The formula you'll need is:
Years = ln (total / principal) / rate
ln means natural log
Years = ln (2,000 / 1,000) / .045
Years = ln (2) / .045
Years = 0.69314718056 / .045
Years = 15.4033
Step-by-step explanation:
Related Questions
I need help, confused.
Answers
Answer:
x=90
Step-by-step explanation:
it is a square so: 360/4=90
Let f(x)=|x| and g(x)=x+2. What are the domain and range of (f•g)(x)?
Answers
Answer:
Step-by-step explanation:
f(x) = | x |
g(x) = x + 2
y = | x + 2 |
Domain: all real numbers
Range: y ≥ 0
Given: m ∥ n, x ∥ y, and y ⊥ m. Use the diagram to find the angle measure.
Answers
Answer:
180
Step-by-step explanation:
m<2 + m<3 = 90
m<5 + m<6 = 90
m<2 + m<3 + m<5 + m<6 = 90 + 90 = 180
Answer: 180
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answers
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
[tex] \longrightarrow [/tex] l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
[tex]\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in[/tex]
[tex] \therefore [/tex] Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
Which of these is equivalent to 8: 5
3:4
3:7
4:2
4:3
Pls help
Answers
Answer:
I'm not 100% if its right but I think its 4:2.
Step-by-step explanation:
Answer:
the closest one i think is 4:3(dont get mad at me if its wrong)
Step-by-step explanation:
What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?
Answers
Answer:
Step-by-step explanation:
Given
slope =6/5
point =(5, -4)
So
the equation of the line =
(y-y1)=m(x-x1)
Where X1=5,y1=-4,m=6/5
Put the values
(Y+4)=6/5(x-5)
5(Y+4)=6(x-5)
5y+20=6x-30
5y-6x=-30-20
-6x+5y=-50
6x-5y=50.
So the equation of the line is 6x-5y=50.
Explain why the vertical line does not represent a linear function.
y
5
G C
1
2 2
4 5 r
The vertical line has
for the input I
> EMERGENCY
Answers
Answer:
Its my first answer but may i have a brainlist please im new
Step-by-step explanation:
Hello help with question please :)
Answers
Answer:
A
Step-by-step explanation:
slope is (y2-y1)/(x2-x1)
anyhow that comes out to -3/2
the only place that actually applies is in A
Answer:
A
Step-by-step explanation:
6=-3/2×-2+3
6=3+3
6=6
-3=-3/2×4 + 3
-3=-6+3
-3=-3
a. Find (f + g)(x).
b. Find (f + g)(3).
Use the functions f(x)=x+5 g(x)=2x+1
Answers
Answer:
Step-by-step explanation:
[tex](f+g)(x) =f(x) + g(x)\\f(x) = x+ 5\\g(x) = 2x + 1\\(f+g)(x) = x+ 5 + 2x + 1\\(f+g)(x) = 3x + 6\\\\(f+g)(3) = 3(3) + 6 = 15[/tex]
Find the difference between 7/10 and 1/5.
Answers
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
Convert the expression (5x + 2)(x - 7) from factored form to standard form
Answers
(5x)(x) = 5x^2
(5x)(-7) = -35x
(2)(x) = 2x
(2)(-7) = -14
5x^2 - 35x + 2x - 14
Now combine like terms.
5x^2 - 33x - 14.
This is the right answer because it is now in the form of ax^2 + bx + c
Answer:
(5x + 2)(x - 7) = 5x² - 33x - 14Step-by-step explanation:
[tex](5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14[/tex]
Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.
Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331
Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.
Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.
Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.
Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.
Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.
Answers
Answer/Step-by-step explanation:
Part A: The function that would best describe Option A is a linear function. This is because an increase in x would have a corresponding additive increase in y. With each increasing year, the value of Option A increases by $100. This is how we know Option A would be a linear function.
Part B: a(t) = y.
a(t) = a + 100t
Part C: The function that would best describe Option B is an exponential function. Unlike linear functions, an increase in x would have a corresponding multiplicative increase in y. Each value of Option B shares a common ratio of 1.1.
Part D: b(t) = y.
b(t) = b(1.1)^t
Part E: a(20) = a + 100(20)
1100 + 2000 = 3100
b(20) = b(1.1)^20
1100(1.1)^20
= 7400
There is definitely a significant difference between the value of Bridgette’s investment in both options. The difference between the values of each option after 20 years is 4300. Bridgette is better off using Option B if she wants more money at the end.
Hope this helps!
The info is in the picture
Answers
Answer:
no it isn't the inverse.
what is 2+2-3+7-9+23-6+78-34+89
what does that equal
Answers
2+2-37-9+23-6+78-34+89 = 149
Answer:
149
Step-by-step explanation:
2+2-3+7-9+23-6+78-34+89
2+2+7+23+78+89=201
3-9-6-34=52
201-52
149
2.5 miles into _______inches
Answers
This means that you would have to multiply 63,360 by 2.5 which will give you... 158,400inches
Hope this helped:)
P(x) = 3x³+ 2x²-x what is the value of P(2)
Answers
Answer:
polynomial is -1
so answer is-1
help me please i turn this in 5 minutes
Answers
Answer:
Its B
Step-by-step explanation:
50/10=5
Answer:
B. The store made a profit of $5.00 per store.
Step-by-step explanation:
As you can see on the graph, there is a point (200 , 40).
now i will use this equations:
200/40 = x
40 = number of shirts sold
200 = profit made from 40 shirts
x = amount of money per shirt sold.
200/40 = 5
Each shirt is sold for $5.00
Help!! I gotta turn it in a few minutes
Answers
Answer: 4/21
Step-by-step explanation:
1/7 = 6/42
2/3 = 28/42
28+6=34
42-34=8
8/42=4/21
Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.
Answers
=============================================
Work Shown:
(2a^2+b)(3a-3b)
c(3a-3b) ..... let c = 2a^2+b
3ac-3bc .... distribute
3a(c)-3b(c)
3a(2a^2+b)-3b(2a^2+b) .... plug in c = 2a^2+b
3a(2a^2)+3a(b)-3b(2a^2)-3b(b) ... distribute
6a^3+3ab-6a^2b-3b^2
6a^3-6a^2b+3ab-3b^2
You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.
PLS HELP!!
Find the value of x. Show any calculations used to find your answer.
Answers
========================================
Work Shown:
(small vertical)/(large vertical) = (small horizontal)/(large horizontal)
8/x = 16/40
8*40 = x*16 .... cross multiply
320 = 16x
16x = 320
x = 320/16 .... divide both sides by 16
x = 20
Note: there are other proportions you could set up such as 8/16 = x/40. The key here is that whatever equation you set up, it must cross multiply to 16x = 320 so that you get the same solution.
*10 points* ANSWER ASAP WILL MARK AS BRAINLIEST!!
Do you have to regroup to find each sum?
Choose Yes or No.
38 + 12
29 + 15
28 + 7
27 + 12
Answers
Answer:
1) yes
2)yes
3) yes
4) no
Step-by-step explanation:
Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as . So, of 60 is 15.
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as . So, of 70 is 23.3.
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as . So, of 60 is 12.
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as . So, of 60 is 30.
Answers
Step-by-step explanation:
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2. So 1/2 of 60 is 30
Answer:D
Step-by-step explanation:
MORE.FREE.POINTSS.
"I'm a cowboyy babyy"
this ones less points, BUT STILL
Answers
Answer:
thx may i have brainliest to plz i so close to next rank
Step-by-step explanation:
Answer:
bbbbbbbbbbbbbbbbbb
Step-by-step explanation:
popppppppppppppppppppppppppppppp
In 1902, the yearly attendance at a major league baseball park was 3.4×10^5 people. One hundred years later, the yearly attendance was 1.7×10^6 people. How many times greater was the attendance in 2002 than in 1902?
Answers
Answer:
1,360,000
Step-by-step explanation:
1,700,000-340,000 = 1,360,000 or 1.36×10^5
Find the midpoint of the segment with the following endpoints.
(5,5) and (1,1)
Answers
Answer:
(3,3)
Step-by-step explanation:
x=(5+1)/2=3
y=(5+1)/2=3
Find the value of x!!!!!
Answers
Going across the line will give you the same number, being 58. Same thing for 76.
Same thing as before. 76+58= 134
180-134 = 46
X=46
I attached a photo of the answer
What do you need to add to 5 7/8 to make 8
Answers
Answer:
[tex] 2 \frac{1}{8} [/tex]
Step-by-step explanation:
[tex]8 - 5 \frac{7}{8} \\ \\ = 8 - \frac{5 \times 8 + 7}{8} \\ \\ = 8 - \frac{40 + 7}{8} \\ \\ = 8 - \frac{47}{8} \\ \\ = \frac{8 \times 8 - 47}{8} \\ \\ = \frac{64 - 47}{8} \\ \\ = \frac{17}{8} \\ \\ = 2 \frac{1}{8} [/tex]
Step-by-step explanation:
5 7/8+x=8
x=8-5 7/8
l.c.m of denominators=8
=3 3/8
Please please help me i'm begging you!
Answers
Answer:
A is 8 ounces/ 12 cupcakes is 12 cupcakes/8 ounces I'm not sure about C and D is 18 cupcakes for 12 ounces of frosting
Step-by-step explanation:
There are three fourth grades classrooms (A, B, and C) at the local elementary school. Room A contains 12 children, Room B contains 18, and Room C contains 24 children. All the fourth graders get together to play a game in the middle of the day. The teachers want the children to be on teams with their own classmates but all the teams also need to be of equal size. Can you find the largest size of the teams so that each team contains only children from the same classroom?
Answers
Answer:
The largest size of the teams would be 6 if you wanted all teams to be the same size and consist of only members from their own room.
Step-by-step explanation:
In order to solve this, you need to find the greatest common factor. The highest number that can go into 12, 18, and 24 evenly would be 6.
Answer:
2 teams of 6 for class A, 3 teams of 6 for class B. and 4 teams of 6 for class C
Step-by-step explanation:
We are given the total amount of students in each class. 12,18,24. In order to separate these we have to find the common denominator among all the classes total numbers. 6 is a common denominator between them all as we can break it down to the number thats most common. Take the total number of students in each class and divide it by six. That is the total number of groups to be equal among them all.
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answers
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
