Answer: When r= 9.5% , time = 7.3 years
When r= 2.5% , time = 27.7 years
Step-by-step explanation:
Exponential equation for compounded continuously:
[tex]A=Pe^{rx}[/tex] , where P= Principal value invested , r= rate of interest, x= time
Given : P= $6,000
A = 2P= 2 ($6,000) = $12,000 (i)
When r= 9.5%= 0.095
[tex]A= 6000e^{0.095x}[/tex] (ii)
From (i) and (ii)
[tex]6000e^{0.095x}=12000\\\\\Rightarrow\ e^{0.095x}=2\\\\\Rightarrow\ \ln e^{0.095x} =\ln 2\\\\\Rightarrow\ 0.095x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.095}=7.296284210\approx7.3 \text{ years}[/tex]
For r= 2.5% = 0.025
[tex]6000e^{0.025x}=12000\\\\\Rightarrow\ e^{0.025}=2\\\\\Rightarrow\ \ln e^{0.025x} =\ln 2\\\\\Rightarrow\ 0.025x=0.693147\\\\\Rightarrow\ x=\dfrac{0.693147}{0.025}=27.72588\approx27.7 \text{ years}[/tex]
What is the slope and y-intercept of the equation 3(y-2) + 6(x+1) - 2 = 0?
Answer:y
y=−2x+2/3
SLOPE:-2
Y-INTERCEPT:2/3
Step-by-step explanation:
HELPP
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week. How many tickets were sold last week for the school play?
Answer:
120/100
Step-by-step explanation:
I just know it, trust me
True or False
The graph of y=2x is similar but also different from the graph
of y=2x−7.
Group of answer choices
True
False
Explain the reasoning of your answer above.
PLEASE HURRY!!!
Answer:
false bc the y intercept is in a different place which in return would alter the entire equation
Answer:
False. This is because -7 is not apart of the given equation, thus the equation is not similar. (rule of slope intercepts)
J(-7, -7), K(-9, 1), L(-1, -1)
Classify the triangle
The given triangle is an acute triangle and this can be determined by using the distance formula and the Pythagorean theorem.
Given :
Coordinates of triangle are --- J(-7, -7), K(-9, 1), L(-1, -1)
The following steps can be used in order to classify the given triangle:
Step 1 - First, determine the distance between the points.
[tex]\rm JK = \sqrt{(-9+7)^2+(1+7)^2} = \sqrt{4+64} = \sqrt{68}[/tex]
[tex]\rm KL = \sqrt{(-1+9)^2+(-1-1)^2} = \sqrt{64+4} = \sqrt{68}[/tex]
[tex]\rm JL = \sqrt{(-1+7)^2+(-1+7)^2} = \sqrt{36+36} = \sqrt{72}[/tex]
Step 2 - In order to classify the given triangle, the Pythagorean theorem can be used.
[tex]\rm H^2 = P^2 + B^2[/tex]
Step 3 - Substitute the values of P, H, and B in the above expression.
[tex]\rm (\sqrt{72} )^2 = (\sqrt{68} )^2 + (\sqrt{68} )^2[/tex]
Step 4 - Simplify the above expression.
72 < 136
Therefore, the given triangle is an acute triangle.
For more information, refer to the link given below:
https://brainly.com/question/989117
Jimmy, Johny and Jolly went to the market to buy some presents for Secret Santa celebration at school. Three of them together spent $560. If Johny spent twice as much Jolly did and Jimmy spent $30 less than Johny did, how much did each of them spend?
Answer:
Step-by-step explanation:
I think they both spend 300$
1. Find the value of k.
A. 17
B. 73
C. 118
D. 107
Answer:
Its B
Step-by-step explanation:
you have to add 45 and 62 to get 107 and then subtract 107 from 180
Hope this helps
pls mark brainliest
Sue and Kim loved their skittles! Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles. Using the ratio table below.help Kim determine the number of calories for 80 grams of Slides
Answer:
320 calories
Step-by-step explanation:
Ratios.
let's say calories= c
grams = g
160c:40g
? :80g
So if you look at the grams, you see an increase by *2.
so the get: ?
you need to multiply 160 by 2.
can someone help me with this and can someone tell me what operation it is
Answer:
12.78
Step-by-step explanation:
63.65 divided by 5 = 12.7
Answer:
Equation:63.65÷5=12.73
A)$12.73
Step-by-step explanation:
Division is this symbol ÷
Your problem directly states to divide the amount in money by the amount of children
Given f (x) = 6 (1- x), what is the value of f (-5)?
Answer: 36
Step-by-step explanation:
1) substitute x for 6
get f(-5)=6(1--5)= 6+30=46
Answer:
f(-5)=6(1-(-)5) f(-5)=6×6
f(-5)=36 Hope this will be helpful
what is the slope of the linear table below?
Answer:
A. 2/3
Step-by-step explanation:
Plot the points, so you visualize rise/run.
When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).
HURRY PLEASE HELP!!!!!!
the answer choices are
A. 55
B. 40
C. 60
Answer:
A. 55
Step-by-step explanation:
hope this helps have a good day :)
The product of 3a2 – 5a + 2 and (-4x) when x = 0 is :
Answer:
the answer should be this
Plz help with this it would mean a lot
Answer:
y=1.4x
Step-by-step explanation:
It goes up by 2.8 each 2 values of x therefore 1.4 per value of x
On a 1 mile track, Runner A has made 6 laps in the time it took runner B to make 2 laps. If Runner A is running 8 mph faster than Runner B, how fast is each of them running?
9514 1404 393
Answer:
A: 12 mphB: 4 mphStep-by-step explanation:
The ratio of speeds is ...
A speed : B speed = 6 : 2
The difference is 6-2 = 4 ratio units, which corresponds to a difference of 8 mph. Then each ratio unit stands for 8/4 = 2 mph.
The ratio of speeds is then ...
A speed : B speed = 6 : 2 = 12 mph : 4 mph
Runner A is running 12 mph; runner B is running 4 mph.
find slope please help I’ll mark brainliest
A local hamburger shop sold a combined total of 721 hamburgers and cheeseburgers on Thursday. There were 71 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?
Answer:771-71/2= 350 hamburgers and 350 +71 cheeseburgers
Step-by-step explanation:
Please help and explain
Answer:
c
Step-by-step explanation:
when the baby is 2 months it will prolly weigh 370
Assume there are 11 voting districts in the county. Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election. If she has an equal chance of 60% to win any one district, what are her chances of winning the election?
Answer:
53.3%
Step-by-step explanation:
Here we will use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.
P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰
P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004
P = 0.533
Does -3 and -2 make a right triangle
Answer:
There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse
Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit:
y = 0.338x − 1.387.
Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?
A. 10
B. 55
C. 63
D. 72
Answer:
C. 63
Step-by-step explanation:
Based on a sample survey, a grocery store employee states that 5 out of 14 shoppers buy wheat cereal. If there are 1,400 shoppers in one day, how many do NOT buy wheat cereal?
Answer:
9,000 shoppers
Step-by-step explanation:
14,000÷14=1,000 1,000×5=5,000 14,000-5,000=9,000
The length of a car is 18 ft and the width is 7ft.
If a model of a car is 9 in long, how wide is it?
Answer:
3.5 inches
Step-by-step explanation:
9 = 18 divided by 2
7divided by 2 = 3.5
Answer:
is 27 for the width and for how long is 9+9=18
Step-by-step explanation:
Identify the expression which represents the calculation “subtract 3 from 15, then divided by 6
Answer:
[tex]\frac{15-3}{6}[/tex]
Step-by-step explanation:
You would start by writing the expression for “subtract 3 from 15", which would be [tex]\frac{15-3}{6}[/tex], then you would add on "then divided by 6", which would make it
Answer:
Step-by-step explanation:
15-3/6
15-3 over 6
12/6
2
Simplify the fraction 36/8
Answer:
4 4/8
Step-by-step explanation:
36 can go into 8, 4 times. With 4 left over so the answer is 4 4/8.
Answer:
[tex]4\frac{1}{2}[/tex]
Step-by-step explanation:
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5
Answer:
3
Step-by-step explanation:
which expression is equivalent to 4x^2+(5x-7x^2)-4-(3x+5)
Answer:
[tex]-3x^{2} + 2x - 9[/tex]
I hope this helps!
246 divided by 3 using rectangular model
Answer:
82 is the answer
Step-by-step explanation:
hope it help you
Please help! I am struggling in my math course.
Answer:
That is a function so type y
Step-by-step explanation:
This is a one to one relationship and each input has one output so pick the 4th bubble D
I hope this helps
What is the first step in solving for z in the equation
5z−4=26?
Answer:
Step-by-step explanation:
This is the completed answer.
5z - 4 = 26
5z−4+4=26+4
5z=30
Divide both sides by 5.
5z/5 = 30/5
z=6
) Use a generating function for modeling the number of different election outcomes in an election for class president if 25 students are voting among four candidates. Which coefficient do we want
Answer:
The answer is "[tex]x^{25}[/tex]"
Step-by-step explanation:
In four candidates, student participants are voting.
For design the range of votes, it must employ a dividend growth.
Total students = 25
Total choices to vote = 4
The role generation is: [tex]G(x) = (1 + x+x^2 + ....+ x^{25})^4[/tex]
In order to obtain the various results, they need to analyze the term coefficient [tex]x^{25}[/tex].
