Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answers
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
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Related Questions
a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
Answers
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
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simplify 5^-2
please help me! i don't know how to do it and its due today
Answers
0.04
jndjnwjnc jwnfjnjwfjn jn jnwjnj njnfjbfwhijfkwb jnj nwjnjfjwkf n
What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8
Answers
Answer:
x=4 Postive
Step-by-step explanation:
See the steps below:)
please answer this question
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{3}{7}[/tex] a × - [tex]\frac{21}{15}[/tex] b ( cancel 3 and 15 and 7 and 21 )
= a × - [tex]\frac{3}{5}[/tex] b
= - [tex]\frac{3}{5}[/tex] ab
(b)
3xy(5x²y² - 4yz) ← multiply each term in the parenthesis by 3xy
= 15x³y³ - 12xy²z
What is another way to write this??
Answers
Answer:
b is the answer
....................
Answer:
B.
Step-by-step explanation:
The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4
I need this in 10 mins I’m BEGGING HELP
Answers
Answer:
148.5 in^2
Step-by-step explanation:
First, get the area of the rectangle
A = 15*12
A = 180
Now the area of the triangle, with the base at 3.5
A = h b/2
A = 9 * 3.5/2
A = 15.75
Since you have 2 halves, add them together., 31.5
Substract 31.5 from 180
Answer:
180 in
Step-by-step explanation:
Because if you multiply 15×12 it gives you 180
when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.
a. 18 treats
a. 19 treats
c. 14 treats
d. 16 treats
Answers
Answer:
18 treats
Step-by-step explanation:
If she gives 2/5 of 30 = 12
so 3/5 of 30 is 18 (also 30-12 =18)
How many sides does a regular polygon have if each of its interior angles is 165 degree.
Answers
Complete step-by-step answer:
Thus, the regular polygon with interior angle each measuring 165∘ is a 24-sided polygon.
Please help me!
Find the indicated sum for each sequence.
S9 of –9, 36, –144, 576, ...
Answers
Answer:
the answer is to multliply it by -4
Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%
Answers
Answer:
$42.50
Step-by-step explanation:
discount reduces the price of the good
discount value = 15% x 50 = 0.15 x 50 = 7.5
sales price = 50 - 7.5 = 42.50
Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next
Answers
Answer:
y - x= - 13 -------(1)
- 4x + 3y = -51 -------(2)
(1) => y = - 13 + x
Substitute y in (2)
- 4x + 3( - 13 + x) = -51
- 4x - 39 + 3x = -51
- x = -51 + 39
- x = -12
x = 12
Substitute x in (1)
y = - 13 + x = -13 + 12 = - 1
x = 12, y = -1
ILL GIVE YOU BRAINLIEST!!
Answers
Answer:
10[tex]\pi[/tex]
Step-by-step explanation:
Length of arc = [tex]\frac{theta }{360} * 2\pi r[/tex]
= [tex]\frac{150}{360} * 2 \pi * 12\\[/tex]
= [tex]10\pi[/tex]
What is the difference between the highest percent of votes received by student in the lowest percent of votes received by a student? Round to the nearest whole number if needed.
A. 20%
B. 8%
C. 35%
D. 15%
Answers
Answer:
A) 20%
Step-by-step explanation:
The total votes are:
40 + 70 + 60 + 90 = 260
Rebecca has the highest percent of votes which is 90 votes. To find the %:
90/260 ≈ 34.62%
Amy has the lowest percent of votes which is 40 votes.
40/260 ≈ 15.38%
Finding the difference:
34.62 - 15.38
19.24
So, it's around 20%
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
Answers
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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HELP ME PLEASEESWSAS
Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47
Answers
Answer:
6.7
Step-by-step explanation:
x² = 45
x = 6.7
is the answer
4 – (3 – 5) =
Possible Answers:
A. -4
B. -2
C. 6
D. 12
Answers
Answer:
6
Step-by-step explanation:
4 – (3 – 5) =
PEMDAS says parentheses first
4 – (-2) =
Subtracting a negative is like adding
4 +2
6
Answer:
2-
Step-by-step explanation:
.....................................................................
Which statement describes the linear graph
Answers
Answer:
B.
Step-by-step explanation:
Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Answers
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?
Answers
Answer:
i believe the answer is 1/9, sry if im wrong
Step-by-step explanation:
Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!*
Answers
Answer:
about 1.18 is the closest is what i got
Step-by-step explanation:
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Answers
Answer:
Step-by-step explanation:
Sp of an article= Rs 2300
profit%=15%
let Cost Price of an article be X
SP=CP+PROFIT %*CP
2300=X+15/100*X
2300=100X+15X/100
2300*100=115X
230000/115=X
2000=X
Therefore cost price of an article is Rs 2000.
Please help me this is due tomorrow thank you
Answers
Answer:
The answer is option B.
Step-by-step explanation:
Answer: D
Step-by-step explanation:
The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all
Hope this helps
Solve -2y+1=y-5
Y=6
Y=-6
Y=-2
Y=3
Answers
Answer:
y=2
Step-by-step explanation:
-2y+1=y-5
Add 2y to each side
-2y+2y+1=y+2y-5
1 = 3y -5
Add 5 to each side
1+5 = 3y-5+5
6 = 3y
Divide each side by 3
6/3 = 3y/3
2 =y
Answer:
y=2
Step-by-step explanation:
Move y to the other side by subtracting by y on both sides:
-y-2y+1=y-y-5
-3y+1=-5
Move the 1 to the other side by subtracting by 1 on both sides:
-3y+1-1=-5-1
-3y=-6
Divide -3 on both sides to eliminate the -3 on y
-3y/-3=-6/-3
y=2
The value of which of these expressions is closest to e?
Answers
Answer:
the answer is D
Step-by-step explanation:
Got it wrong on the A*pex test D is the correct answer
1+(1/30)30
hey! i’ll give brainliest please help
Answers
Answer:
It would be a simple sentence, since it is a single clause by itself.
Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.
Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?
Answers
Answer:
the answer is 114
Step-by-step explanation:
pleaseeeee helppppp!!!!! I have to turn this in...!!!
Answers
Oscar rides his skateboard 58
5
8
mile in 14
1
4
hour. How fast, in miles per hour, does he ride his skateboard?
Answers
Answer:
about 4.1 miles per hour
The owners of a large pet store have determined that 65\ee, percent of their customers own dogs. They select 151515 customers at random to survey. Let DDD be the number of customers they survey who have dogs.What type of variable is DDD
Answers
Answer:
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Step-by-step explanation:
For each customer, there are only two possible outcomes. Either they have dogs, or they do not. The probability of a customer having a dog is independent of any other customer. This means that D is a binomial random variable.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
65% of the customers have dogs:
This means that [tex]p = 0.65[/tex]
15 customers:
This means that [tex]n = 15[/tex]
What type of variable is D?
D is a binomial random variable with [tex]p = 0.65, n = 15[/tex]
Answer:
binomial
Step-by-step explanation:
Determine the surface area of the cylinder in terms of π.
602π cm2602π cm2
812π cm2812π cm2
308π cm2308π cm2
518 cm2
Answers
Explanation: sa= 2pi (r^2) + 2pi (r)h Diameter is 8cm so radius is 4cm
Sa=2pi(4^2)+ 2pi(4) 17
Sa= 32pi + 136pi
Sa= 168 pi 2cm