$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
The populations of Cities A and B are 1.6 x 10^5 and 1,070,000, respectively. The population of City C is twice the population of City B. The population of City C is how many times the population of City A?
Answers
Answer:
13
Step-by-step explanation:
First find the population of city c 1,070,000 times 2 = 2140000
Round 2140000 to the nearest hundred thousands = 2,100,000
Third find how many places the decimal moves which is 6 places
Fourth scientific notation of 2,100,00 is 2.1 times 10^6
Fifth divided city c by the population of city a
2.1x 10^6 divided by 1.6 x 10^5
2.1 / 1.6 rounded is 1.3
10^6 divided by 10 ^ 5 is 10
Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13
The population of city c is about 13 times the population of city a
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Answers
9514 1404 393
Answer:
Each strawberry contains 4 calories
Step-by-step explanation:
The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.
Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).
The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.
The appropriate choice is ...
Each strawberry contains 4 calories
Answer:
its 4 calories, A
Step-by-step explanation:
i just got it right on edge
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
Answers
iven: PA = PC and BA = BC. Use the diagram to find the length described.
Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?
pabc
AC is
cm in length.
Answers
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[tex]BA = BC = 12[/tex]
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[tex]AC = BA + BC[/tex]
[tex]AC = 12 + 12[/tex]
[tex]AC = 24[/tex]
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1/4(z 3z) 7=−z 1 please help with this ive been stuck
Answers
Answer:
z=0
Step-by-step explanation:
if the equation was 1/4(3z)7=-1z
In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.
Answers
Answer:
66°
Step-by-step explanation:
tan β = [tex]\frac{4.1}{1.8}[/tex]
β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°
a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal
Answers
Answer:
Step-by-step explanation:
Given
A metal block has a mass = 60kg
volume = 0.5 meter cube
Solution
Density=masala volume
Density=60/0.5
Density of the metal=120kg/m^3
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars
Answers
Step-by-step explanation:
If one dollar can buy a bottle of mineral water, then;
$1 = 1 bottle
To determine the amount of mineral water you can drink with at most 20 dollars, we will say;
$20 = x bottle
Solving both equality postulate;
$1 = 1 bottle
$20 = x bottle
Cross multiply
1 * x = 20 * 1
x = 20
Hence about 20 bottles of mineral drink can be bought with at most 20 dollars
Answer: 39
Step-by-step explanation:
You exchange $20 for twenty bottles of mineral water.
[Drank: 20
Exchanged: 20/2=10]
[Drank: 20+10
Exchanged: 10/2=5]
[Drank: 20+10+5
Exchanged: 4/2=2]
[Drank: 20+10+5+2+1
Exchanged: 2/2=1]
Drank in total: 20+10+5+2+1+1
which is = 39
Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?
Answers
Answer:
Note. There is a mismatch between the graph and the equation
------------------------------
As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s------------------------------
If we go by the equation, then:
f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 seconds36x-2 + 34x+2 = 180 solve
Answers
Answer:
First, collect the like terms
36x+34x=180+2-2
Solve,
74x=180
x=180/74
2.43243243243
When you round it, it will be approximately,
x≅2.43
Step-by-step explanation:
I hope it helped please give me brainliest
Answer:
[tex]x = \frac{18}{7} [/tex]
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
Answers
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
Find the values of x and y.
X= __
Y= __
Answers
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
Find the value of x that makes m ∥ n .
Answers
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7
Answers
Answer:
A=3√5
B=11√7
Step-by-step explanation:
5√5-2√5
5-2√5
3√5
B) 8√7+3√7
8+3√7
11√7
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answers
Answer:
B
Step-by-step explanation:
i got it right
someone please help
Answers
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answers
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
Find the value of x that makes A||B.
22 = 3x - 20 and 25 = x + 20
x = [?]
Enter
Answers
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[tex]angle \: 2 \: = angle \: 5[/tex]
[tex]3x - 20 = x + 20[/tex]
Add sides 20
[tex]3x - 20 + 20 = x + 20 + 20[/tex]
[tex]3x = x + 40[/tex]
Subtract sides x
[tex] - x + 3x = - x + x + 40[/tex]
[tex]2x = 40[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]
[tex]x = 20[/tex]
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what is f(x)=5x-12 what is f(2)?
Answers
Answer:
f(2) = -2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 5x - 12
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = 5(2) - 12Multiply: f(2) = 10 - 12Subtract: f(2) = -2Answer:
f ( 2 ) = - 2
Step-by-step explanation:
Step 1:
f ( x ) = 5x - 12 Function
Step 2:
f ( 2 ) = 5 ( 2 ) - 12 Input x
Step 3:
f ( 2 ) = 10 - 12 Multiply
Answer:
f ( 2 ) = - 2
Hope This Helps :)
Is this true or false? Ill give brainliest
Answers
i think true because 0,4 on there is correct and so is 2,0
i am in need of assistance
Answers
A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
Answers
The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?
Answers
We know, distance between two points A( p,q) and B(r,s) is given by :
[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between P an Q is :
[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]
Distance between Q and R is :
[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]
Distance between R and S is :
[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]
Therefore, total distance is 11 + 12 + 2 = 25 units.
Hence, this is the required solution.
Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?
Answers
Answer:
17 rides
Step-by-step explanation:
30-8=22
22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17
Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7
Answers
Answer:
slope(m)=change in y/change in x
-7=y-(-2)/x-(-7)
-7=y+2/x+7
-7(x+7)=y+2
-7x-49=y+2
-7x-49-2=y
-7x-51=y (B)
Find the hypothesis for side a 16 side b 20
Answers
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
What is the solution to this system of linear equations?
x + y = 4
x − y = 6
Answers
Answer:
x=5 , y= -1
Step-by-step explanation:
You can see that one of the y's is negative while the other is positive, so you can add them together.
Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.
Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.
You can simplify that into x=5. This gives you the answer for x
Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.
Simplified, y= -1
Therefore, x= 5 and y=-1
Answer:
(5,-1)
Step-by-step explanation:
Got it right on edge cause of the guy above me
work out area of this semi circle with diameter 10
Answers
Area of a circle is pi x r^2
R is the radius which is have the diameter: r = 10/2 = 5
Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.
A semi circle is half a full circle
Area of the semi circle = 78.5/2 = 39.25 square units.
A student has some $1 and $5 bills in his wallet. he has a total of 15 bills that are worth $51. How much of each type of bill does he have?
Answers
Answer:
# of 5 dollar bills: 9
# of 1 dollar bills: 6
Step-by-step explanation:
9•5 = 45
1•6 = 6
To Check: 45 + 6=51
Find the slope:
(-7, 4), (13, 4)
O 20
O Zero
O Undefined
Answers
Answer:
Zero
Step-by-step explanation:
it is to correct answer because I did this before and one of my classes also subscribe to my channel bye
4-4=0
13-(-7)=20
And since there is no number above the 20 it is zero