Annabelle invested $5,900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $7,440?
Answer:
Step-by-step explanation:
Continuous compounding has the form
[tex]A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12[/tex]
Therefore it will take 12 years for the value of the account to reach $7,440.
What is Compound Interest ?Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
Annabelle invested amount $5900
Final Amount $7440
Rate = 2% compounded continuously
When compounded Continuously ,
[tex]\rm A = P e^{rt}\\\\\\t=\dfrac{ln \frac{A}{P}}{r}\\\\\\\\t=\dfrac{ln \frac{7440}{5900}}{0.02}\\\\t= 12[/tex]
it will take 12 years for the value of the account to reach $7,440.
To know more about Compound Interest
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PLEASE ANSWER QUICKLY THX
this is harder than 1213321+2143 jk
What is a reasonable metric unit for the capacity of a large lake
Answer:
Liters and milliliters are metric units for measuring capacity
Step-by-step explanation:
Answer:
liters
Step-by-step explanation:
Sharon is using a calculator to find out how many hours she has spent on a certain job.She divides,and her display reads:
what does it read????
i want to answer the question but i dont have any information
I will give extra points please help
Answer:
6 > x
Step-by-step explanation:
The given inequality is :
18 > 12+x
We need to graph the solution.
Subtract 12 from both the sides,
18-12 > 12+x-12
6 > x
The attached figure shows the solution to the given inequality.
Please help i don’t know if I’m doing this right
Answer:
x = 41
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 40^2 = c^2
81 + 1600 = c^2
c^2 = 1681
c = 41
Step-by-step explanation:
In order to find the hypotenuse of a right triangle, you must remember the theorem:
a² + b² = c².
40 to the second power is 1600, and 9 to the second power is 81.
Add these together for a total of 1681, but you're not done yet. We need to find what multiplied by itself equals 1681, since c is to the second power.
The square root is 41, so x is 41.
it takes 4.5 ounces to my a copper pipe fitting. American pipe estimates they produce an average of 25.4 fittings per week. How much copper will it take to make fittings for the whole year?
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?
=============================================================
Explanation:
Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.
Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.
From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%
So we get (0.15%) + (2.35%) = 2.5% which is the answer
Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.
Answer and explain please ILL MARK BRAINLIEST
Answer:
the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.
Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)
What is the area of this figure?
Question 10 options:
124 in2
112 in2
184 in2
Answer:
112 in2
Step-by-step explanation:
6 x 4 / 2 + 10 x 10 = 24 / 2 + 100
12 + 100 = 112 in2
Hope that helps!
What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
I NEED THIS ASAP
Answer:
[tex]H = 53.30[/tex]
Step-by-step explanation:
Given
[tex]Side\ 1 = 7x + 41[/tex]
[tex]Side\ 2 = 5x[/tex]
Required
Determine side x
The hypotenuse (H) is calculated using:
[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]
[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]
Substitute 9 for x:
[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]
[tex]H^2 = 10816 + 2025[/tex]
[tex]H^2 = 12841[/tex]
So:
[tex]H = \sqrt {2841[/tex]
[tex]H = 53.30[/tex]
Evaluate: 2 x 30 - 24 divid 3 A.4 B.8 C.12 D.52 please help it would mean a lot <3
Answer:
52
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
2 x 30 = 60 - 24 = 36 divided by 3 is 12
Waitrose-
Budging-
Please answer ASAP
Answer: Budging because if you 3.25 + 2 = 5.25 and that
more than the Budging so therefore it's Budging.
and on Budging you get a discount.
Step-by-step explanation:
What is the perimeter of square ABCD?
This is how you do it.
Use the distance formula to find the distance from A to B, B to C, C to D and D to A. Then add up all 4 distances to find the perimeter.
please help me !! find the missing side and round to the nearest tenth !!
Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.
Answer:
0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
Step-by-step explanation:
1/5 divided by 4
=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
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Hope this helped!!what happened to tansen when he sang the deepak raga with great vigour
[tex]7x5[/tex]
What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.
Hi!!!
B. the point lies directly on the regression line.
Hope this helped!
Have a good day:)
The point lies directly on the regression line.
Option B is the correct answer.
What is a regression line?A regression line is a straight line that represents the relationship between two variables in a scatter plot.
In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.
We have,
When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.
If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.
This can occur when the data point falls directly on the regression line, as in option B.
Thus,
The point lies directly on the regression line.
Learn more about regression lines here:
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In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.
Dawn removes two cards, without replacement.
What is the probability that Dawn removed two black cards?
What is the probability that Dawn removed a diamond and a spade?
What is the probability that Dawn removed two face cards?
Answer:
Byhrnegngrnhumhrnim jmmumtjmmtjmtj
Can anyone please help with this? I will love you forever
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
What is (10x+30)+(7x+14) ?
Answer:
17x + 44
Step-by-step explanation:
Start by combining like-terms: 10x + 7x = 17x ; 30 + 14 = 44
Left with: 17x + 44
Answer:
Remove the parentheses
10x + 30 + 7x + 14
Add the like terms
17x + 44
Solution
17x + 44
Step-by-step explanation:
Please mark the Brainliest
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
7w
Step-by-step explanation:
1w + 1w +5w = 7w, add all of the w's up
Eight hundred and eighty-six ten-thousandths in decimal
Ms. Sanchez drove 19 1/2 miles 2/3 hour. What was her speed in miles per hour
Answer:
hi
hi hi hi hi hi h hi hi hi hi hi hi hi
Step-by-step explanation:
Answer:
29.25 / 29 1/4 MPH (Miles Per Hour)
Step-by-step explanation:
2/3 of an hour equals 40 minutes, so 19 1/2 miles is 40 minutes. 20 minutes is 1/3 of an hour, which is the missing amount of 2/3. Divide 19 1/2 miles by 2 to get 9 3/4 miles (which is how far Ms. Sanchez can go in 20 minutes). multiply by 3 to get 29 1/4 Miles Per Hour.
students recorded the total number of pages and chapters in each of several books on the scatterplot. Based on the sbcatterplot, which is the best prediction of the number of chapters in a book with 200 pages
Answer:
7
Step-by-step explanation:
Answer: 7
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Its not because the system is y = 16, x = 7.
Step-by-step explanation:
so it will be, (16, 7)
sorry if wrong.
PLS SOMEONE HELP!! DUE TODAY
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
m<Y > m<Z > m<X
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
Camden estimates his backpack weighs 9 pounds with his books. It actually weighs 12 pounds. What is the percent error of his estimate?
Answer:
25%
Step-by-step explanation:
percentage error formula: difference in error/actual digit× 100/1(12-9/12) × 100(3/12) ×100(1/4) ×10025%tfewfgeeffeefefefwefwewwefewewfefwfew
Answer:
I understand your pain
Step-by-step explanation: sadge
ASAP BRAINLY I WON'T GET FULL GRADE IF ITS MISSING!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. Trapezoid.
2. Rectangle, Parallelogram
3. Rhombus, Parallelogram
4. Rectangle, Parallelogram, Square
5. No, a figure cannot have more than one parallel side and exactly one parallel side at once.
Step-by-step explanation:
Hope ths helped.