Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Ravi deposits $3200, how much will he have in the account
after six years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent
x
5
?
the answer is 4160$
After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.
Moneysaver's Bank offers a saving account with the features as,
Rate of interest = 5% annualTime of investment = 6 yearsPrincipal amount = $3200Expression to calculate the final amount when compounded continuously,
Final amount = [tex]P.e^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
By substituting the values in the expression,
Final amount = [tex]3200.e^{0.05\times 6}[/tex]
= 3200(1.3498588)
= 4319.548
≈ $4319.55
Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.
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The length of a rectangle is 6 in less than 3 times the width. If the perimeter is 36 in, what is the width of the rectangle?
Answer:
width = 6
Step-by-step explanation:
We can think of the width as x and the height as 3x-6. the perimeter formula is (width + height)*2, since we have x as width and 3x-6 as height, we can put it in the formula, which will get you (x + 3x-6)*2 = 36, if we devide both sides by 2, we'll get (x + 3x - 6) = 18, when we simplify it, we will get 4x-6 = 18, which can then be simplified into 4x = 24, which will get you that x = 6
Hope it helped :)
epic gamer question, i'll mark brainlist
Answer:
It has to be an isosceles because it has 2 congruent sides (and angles) in the same relative position. The two congruent angles both measure 30 degrees each; the total of degrees in any triangle is always 180. So, the other side has an angle measure of 120 degrees, which is more than 90. Therefore, it is
an obtuse isosceles
Select the correct answer
Consider the given solids with the dimensions shown. Which solids are similar?
Aonly figure 1 and figure 2
B.only figure 2 and figure 3
c.only figure 1 and figure 3
D. all three figures
E none of the figures
only figure 1 and figure 3 are similar.
What is similarity?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.
If we take the ratio of three side as
16:9:12
(4)²:(3)²:(2√3)²
Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.
If we take the ratio of three side as
64:36:48
(8)²:(6)²:(4√3)²
Comparing the ratios of both figure, the figure 3 has twice the measurement of figure 1 sides.
Hence, only figure 1 and 3 are similar.
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Simplify the following expression
3x + 2(x +6) -4 -2x
A. 3x + 2
B. 7x + 8
C. 3x + 8
D.7x + 10
Answer:
C
Step-by-step explanation:
3x+2(x+6)-4-2x.
First, we do the parenthesis.
This gives us: 3x+2x+12-4-2x.
Then, we reorder so like terms are together.
This gives us: 3x+2x-2x+12-4.
Then, we combine like terms.
This gives us: 3x+8, which is C.
Helps me please help help me
Answer:
(2, -6)
Step-by-step explanation:
1. The rule for reflecting a point across the y-axis is (x, y) -> (-x, y)
This means that when reflecting across the y-axis, the x-coordinate changes signs.[tex](-(-2),-6)[/tex] [tex](2,-6)[/tex]Therefore, the ordered pair that describes the location of C' is (2, -6).
Answer:
(2, -6)
Step-by-step explanation:
1. The following sets of data shows the mean marks of 43 interviewees from a certain job interview that was conducted by a HR Consulting Firm in Mombasa: 23, 45, 79, 15, 47, 64, 33, 26, 34, 46, 31, 29, 49, 25, 45, 43, 39, 45, 22, 26, 28, 36, 42 Using the concept of sampling distribution, what sample size will give at least a 0.95 probability that the sample mean is greater than $8 of the population mean?
Using the Central Limit Theorem, it is found that a sample size of 13 is needed.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For this problem, using a calculator:
The mean is [tex]\mu = 37.9[/tex]The standard deviation is [tex]\sigma = 14.07[/tex]The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 14.07[/tex]
[tex]\sqrt{n} = \frac{14.07}{4}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]
[tex]n = 12.37[/tex]
Rounding up, a sample size of 13 is needed.
A similar problem is given at https://brainly.com/question/24663213
Calculate the difference and enter it below. -9-(-10) Answer here
Answer:
-9-(-10)
=-9+10
=1
28. Marta Sanchez purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For all
purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her
purchases?
Answer:
$ 1.94
Hope I helped
BETWEEN WHAT TWO INTEGERS IS THE SECOND ZERO?
Answer:
between 2 and 3
Step-by-step explanation:
see how it crosses the x axis a little after 2, so it's between 2 and 3
what is perpendicular lines
Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D
Does this graph represent a function? Why or why not?
Ay
10
8
8+
2+
1
-10-8-64
2
+ c
240
-
ON
10
4
-8-
-8-
-10
O A. No, because it fails the vertical line test.
O B. Yes, because it passes the vertical line test.
O C. No, because it is not a straight line.
O D. Yes, because it passes the horizontal line test.
The answer would e number B.
50 pencils cost £3. How much would 8 pencils
cost
What is the answer
Answer:
0.48£
Step-by-step explanation:
(3x8)/50=0.48£
At a concert the ratio of adults to children is 4:5. There are 720 children in a concert how many adults are there?
BRAINLIEST QUEATION !!
Answer:
576 adults
Step-by-step explanation:
The 5 part of the ratio relates to 720 children, then
720 ÷ 5 = 144 ← value of 1 part of the ratio , then
4 parts = 4 × 144 = 576 ← number of adults
Answer:
576
Step-by-step explanation:
Adults : Children
4 : 5
x : 720
Let the number of adults be x.
Use cross multiplication.
[tex]4 : 5\\ x : 720\\[/tex]
[tex]4 *720=5*x[/tex]
[tex]\frac{4*720}{5} =\frac{5x}{5}[/tex]
4 × 144 = x
576 = x
Hope this helps you.
Let me know if you have any other questions :-)
find the prime factorization of each number. 52, and 41
Step-by-step explanation:
We will first find the prime factorization of 41 and 52. After we will calculate the factors of 41 and 52 and find the biggest common factor number .
Step-1: Prime Factorization of 41
Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:
41 = 411
Step-2: Prime Factorization of 52
Prime factors of 52 are 2, 13. Prime factorization of 52 in exponential form is:
52 = 22 × 131
Camila is collecting button pins. Camila started her collection with 20 button pins and collects 5 button pins per month. Let y represent the total number of button pins Camila has collected and x represent the number of months Camila collects button pins.
Graph this linear relationship.
Select two points to graph the line.
Step-by-step explanation:
Camilla started her collection with 20 buttons, meaning that this number is a constant, and that it will not change: (+20)
She then collects 5 buttons per month. Month is represented by the variable, x (given by the question), and there are 5 per month (so you multiply).
Set the equation:
Total pins = Amount of pins per month x amount of months + Amount of pins started.
y = 5x + 20
In this case, plug in the amount of months (x) to obtain your total (y):
When x = 0, y = 20
y = 5(0) + 20
y = 0 + 20
y = 20
When x = 1 , y = 25
y = 5(1) + 20
y = 5 + 20
y = 25
When x = 2, y = 30
y = 5(2) + 20
y = 10 + 20
y = 30
When x = 3, y = 35
y = 5(3) + 20
y = 15 + 20
y = 35
When x = 4, y = 40
y = 5(4) + 20
y = 20 + 20
y = 40
~
Note: This is a linear graph, so you can choose any of these given points (and more if you want to plot more). I would choose two that aren't too close to each other, unless you want a really small graph size.
Octavia is making cotton candy. She uses 17.5 cups of sugar to make 5 bags of cotton candy. At this rate, how many cups of sugar are used to make 1 bag of cotton candy?
Answer:
3.5 cups of sugar per bag.
Step-by-step explanation:
17.5/5
3.5 cups of sugar are used to make 1 bag of cotton candy
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 5 bags of candy = 17.5 cups of sugar needed
and, For 1 bags of candy
=17.5/ 5
=3.5 cups of sugar needed
hence, 3.5 cups of sugar are used to make 1 bag of cotton candy
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When bisecting segments and angles, which step is the same?
plzz help asap plzzzzz
Answer:
5.45 then 6.454 then 5425 then 12825
Step-by-step explanation:
which of the following are perfect cubes 1)3375 2)8000 3)6859
Answer:
all are perfect cubes
Step-by-step explanation:
you can just cube root the numbers and bom if it aint decimal its a perfect cube
Look at UVZ and WVZ in the image below.
Which of the following is the best description for this pair of angles?
A) supplementary
B) acute
C) straight
D) complementary
Answer:
A Supplementery
Step-by-step explanation:
they show on usa test prep
The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).
What are supplementary angles?Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.
For example, consider the following pair of angles:
Angle A measures 80 degrees.
Angle B measures 100 degrees.
The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.
As per the given figure, we have two angles UVZ and WVZ
As indicated in the image, the best description for the given pair of angles is supplementary.
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Colin got a new video game. He scored 31 points on the first level, 31 points on the second level, 31 points on the third level, and 31 points on the fourth level. What kind of sequence is this? both, neither ,arithmetic, geometric
Answer:
Both
Step-by-step explanation:
An arithmetic sequence is given by the next form:
[tex]a_{n} = a_{1} + (n-1)d[/tex]
Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.
So the given sequence is of the form, because the common difference between terms is 0.
[tex]a_{n} = 31 + (n - 1) 0 = 31[/tex]
A geometric sequence is given by the next form
[tex]ar^0, ar^1, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]
When [tex]r\neq 0[/tex]
In this occasion our [tex]a=31[/tex] and the [tex]r = 1[/tex]
So both sequence represent the given one.
Can someone help me solve these problems?
Answer:
Step-by-step explanation:
1) add all angles to 180
2) exterior angle = P + Q
i can add remaining ones also
use a calculator to find the square for 7.6
Answer:
Using a calcuator, [tex]7.6^{2} =57.76[/tex]
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
Shows me 57.76 well....Hope it helps!
Brainliest pls!
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please help asap and please give real answers
Answer:
x = 2, x = - 5
Step-by-step explanation:
To factor it, you can split the middle term to get:
x² - 2x + 5x - 10 = 0
Then, you can factor the first two and the last two to get:
x (x - 2) + 5(x - 2) = 0
And if you divide both sides by (x - 2) you get:
(x - 2) (x + 5) = 0
Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:
x - 2 = 0, x + 5 = 0
which results in:
x = 2, x = - 5
Type the correct answer in each box
The point on the number line shows the opposite of ____, or the opposite of the opposite _____.
Express 4/20 as a percentage.
Answer:
20%Step-by-step explanation:
Express 4/20 as a percentage.
4/20 = 1/5
100 * 1/5 = 20%
Answer:
20%
Step-by-step explanation:
Hey there,
[tex]\frac{4*5}{20*5}[/tex]
[tex]\frac{20}{100}[/tex]
= 20%
Hope this helps you.
Let me know if you have any other questions :-)
Taylor buys candy at the store that costs $1.50 per candy bar.
Create a table that could represent Taylor’s cost per candy bar.
Candy
Cost
0 /0
1 /1.50
? ?
? ?
? ?
Answer:
2/ 3.00
3/4.50
4/6.00
Step-by-step explanation:
Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)
AB =
BC =
AC =
Number of congruent sides=
Then classify the triangle
Isosceles, scalene or equilateral
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]
well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.
share £650 in the ratio of 4:9
Answer:
200:450 that would be the answer i believe