The Amount after one year is $5,483.288.
We have,
P = 5300
R= 3.4%
T= 365 days
As, the formula for compound interest is
A = P( 1 +r/n\()^{nt\)
A = 5300 ( 1 +3.4%/365\()^{365\)
A= 5300 ( 1 +0.034/365\()^{365\)
A = 5300 x 1.03458270988
A= $5,483.288
Learn more about Compound Interest here:
https://brainly.com/question/14295570
#SPJ1
please what is the answer
quick!
Answer:
21/100 is the correct answer.
Hope it helps.....
Answer:
\(\frac{21}{100}\)
Step-by-step explanation:
When adding fractions, make sure that both denominators are the same
To do this multiply \(\frac{1}{10}\) by 10 to make it into \(\frac{10}{100}\)
\(\frac{10}{100} + \frac{11}{100}\) = \(\frac{21}{100}\)
Select the correct answer.
Answer:it might be A
What is 3.59 rounded to the nearest whole number?
Answer:
its 4 ezy
Step-by-step explanation:
please mark as brainlists
A rope is 50 meters long. It is cut into two pieces and one piece is 8 meters longer than the other. What are the two lengths?
Show work please
Answer:
21 meters and 29 meters
Step-by-step explanation:
x + (x + 8) = 50
2x + 8 = 50
2xc = 42
x = 21
x + 8 = 29
In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
Learn more on confidence interval: https://brainly.com/question/15712887
#SPJ1
I just need helping answering this one if you will
Answer:
\(discount = \frac{1}{2} \times 39.95 \\ \: \: \: \: \: \: \: = 19.975 \\ sale \: price = 39.95 - 19.975 \\ = 19.975\)
Step-by-step explanation:
Hope that this is helpful.
Last week, the school snack shop sold 60 granola bars for $0.25 each and 100 muffins for $0.50 each. In addition, 7 complete lunches were sold for $5.00 each. What was the total amount of these sales
Answer:
100$
Step-by-step explanation:
60 ×0.25 =15
100×0.50=50
7×5.00=35
15+50+35=100
the unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears
The unit rate for Option A is $4.4 per pound of gummy bears.
The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.
The unit rate is used to determine how much an item costs per unit of measure.
To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.
Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.
For more such questions on gummy bears
https://brainly.com/question/25831000
#SPJ8
Here is the complete question given below:
The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.
show full solutions.15. Name the indicated parts of this diagram.
Given:
A circle with a center at C.
Required:
We need to find the names of the given parts.
Explanation:
Recall that radius is a line segment extending from the center of a circle to the circumference.
Line segment AC extends from the center C of a circle to the circumference.
\(AC=Radius\)Recall that the arc of a circle is defined as the part of the circumference of a circle.
AE is the part of the circumference of a circle.
\(AE=Arc\)Recall that a straight line segment joins and is included between two points on a circle.
D and E are two points on a circle.
A straight line DE line segment joins and is included between two points D and E on a circle.
\(DE=Chord\)Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.
AB is tangent.
\(AB=Tangent\)Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
\(\measuredangle ADE=\text{ Inscribed angle.}\)Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.
\(\measuredangle ACE=\text{ Central angle}\)Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.
\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Final answer:
\(AC=Radius\)\(AE=Arc\)\(DE=Chord\)\(AB=Tangent\)\(\measuredangle ADE=\text{ Inscribed angle.}\)\(\measuredangle ACE=\text{ Central angle}\)\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)y+2=1/2(x+2) graph this equation!!
Answer:
See attached.
Step-by-step explanation:
A rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters?
I need step-by step work?
The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Area of rectangle = 0.35x0.2 = 0.07 square km
1 km = 1000 m
1 square km = 1000000 square m
Area of rectangle = 0.07x1000000 square m
Area of rectangle = 70000 square m
Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
Tell whether c = 3 is a solution of c + 7 = 10.
a) Yes
b) No
Answer:
a) Yes
Step-by-step explanation:
Because, 3+7=10
Answer: yes
Explanation: In this problem, to determine whether c = 3
is a solution to the equation, we substitute 3 in for c.
So we have (3) + 7 = 10.
Simplifying the left side of the equation, (3) + 7 is 10.
So we have 10 = 10 which is a true statement so our answer is yes.
The height h of an object thrown from the top of a ski lift 1240 feet high after t seconds is h=-16t2 +32t+1240. For what times is the height of the object at least 1000 feet?
←
The height of the object is at least 1000 feet from seconds to seconds.
Check the picture below.
so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.
\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)
now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.
So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark happened between 0 and 5 seconds.
Solve kx - 3 = 5 for x.
A. x = 8 - k
B. x = 8k
C. x=2/k
D. x= 8/k
Answer: D
Step-by-step explanation:
I just got it wrong and D was the answer
nodadnotoday is my Spotify tho
13. I have 22 nickels, dimes and quarters worth $3.45. There are twice as many quarters as nickels. Find the number of each coin.
Answer:
12 nickels 4 dimes 3 quaters
Step-by-step explanation:
Point C has a coordinate of (-4, -6) and point D has a coordinate of (1, -6), how far are they apart?
The distance between points C and D is given as follows:
5 units.
How to calculate the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
The coordinates for this problem are given as follows:
(-4, -6) and (1, -6).
Hence the distance is given as follows:
\(D = \sqrt{(-4 - 1)^2 + (-6 - (-6))^2}\)
D = 5 units.
More can be learned about the distance between two points at https://brainly.com/question/7243416
#SPJ1
Two beetles sit at the top edge of the house roof. The roof has two faces. The first face is such that the horizontal shift by 3 cm along this face means 2 cm shift vertically. Simultaneously the beetles start moving downwards, the first beetle by the first face, the second – by the second face of the roof. First beetle moves twice as fast as the second beetle. Find the altitude of the second beetle above the first beetle when they will be 72 cm apart horizontally, if the second face of the roof
has the same incline as the first face.
Answer:
I 728.Two beetles sit at the verticesAandHof a cubeABCDEFGHwith edge length40√110 units. The beetles start moving simultaneously alongACandHFwiththe speed of the first beetle twice that of the other one.....ADCBEFGH✈s✈s. . . . . . . . . . . . . . . . . . . . . . . . ......................................................................What will be the shortest distance between the beetles?29.In the diagram,4PQRhas an area of 960 square units. The pointsS,TandUare the midpoints of the sidesQR,RPandPQ, respectively, and the linesPS,QTandRUintersect atW.......PQRSUTNMLW✓✓✼. . . . . . . . . . . . . . .....................The pointsL,MandNlie onPS,QTandRU, respectively, such thatPL:LS= 1 : 1,QM:MT= 1 : 2 andRN:NU= 5 : 4.What is the area, in square units, of4LMN?30.A 40×40 white square is divided into 1×1 squares by lines parallel to its sides.Some of these 1×1 squares are coloured red so that each of the 1×1 squares,regardless of whether it is coloured red or not, shares a side with at most one redsquare (not counting itself). What is the largest possible number of red squares?
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
A table of values of a linear function is shown below. Find the output when the input is n. input: 1 2 3 4 n output: 3 1 -1 -3
We have the points of a linear function and need to find the equation that represent.
Because it is a linear function, we can find its equation with two points.
We get the points (1,3) and (2,1):
\(\begin{gathered} We\text{ call input as x and output as y:} \\ P_1=(x_1,y_1)=(1,3),P_2=(x_2,y_2)=(2,1) \\ y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1) \\ y-3=\frac{(1-3)}{(2-1)}(x-1) \\ y-3=-\frac{2}{1}(x-1)=-2(x-1) \\ y=-2x-2\cdot(-1)+3 \\ y=-2x+2+3 \\ y=-2x+5 \end{gathered}\)We can check that the points (3,-1) and (4,-3) also satisfy the equation that we found above:
\(\begin{gathered} \text{For point (3,-1):} \\ y=-2\cdot3+5=-6+5=-1 \\ \text{For point (4,-3):} \\ y=-2\cdot4+5=-8+5=-3 \end{gathered}\)The above shows that the points satisfy the equation.
So, for input=n the output is:
\(\text{output}=-2\cdot n+5\) Graph the following inequality
y≤ ¹/2x-4
The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have the Inequality y≤ 1/2 x -4.
Now, we plot the inequality on the Graph as shown by the red region.
As, the inequality intersect the axis at (0, -4) and (8, 0).
Thus, the solution is (0, -4) and (8, 0).
Learn more about Inequality here:
https://brainly.com/question/27895856
#SPJ9
If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
To learn more on Inequalities click:
https://brainly.com/question/28823603
#SPJ1
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
For more questions on isolate
https://brainly.com/question/11389214
#SPJ8
What is the image point of (-4,-3) after a translation left 1 unit and
down 2 units?
Answer:
The new point would be (-5,-5)
Step-by-step explanation:
i have big brain
Answer: (-5, -5)
Step-by-step explanation:
-4 + -1
-3 + -2
-5, -5
Cameron sorts 56 books into groups of 5, but has some books left over
How many books are left over?
Cameron has 1 book left over after sorting it into group of 5
To determine the number of book left,
we need to first divide 56 by 5 [56 ÷ 5]
Quotient = 11
then find the remainder which is 1
therefore there os only 1 book left over
To know more about Word Problems refer to this link
https://brainly.com/question/28128441
Complete inequiality using < or > of |-92| and |-114|
Answer:
/-92/</-144/
Step-by-step explanation:
The absolute value of -92 is 92
The absolute value of -144 is 144
92 is less than 144
*I couldn't find the absolute value lines sorry
what is the place value of 6 in the hundredths place
Answer:
.06
Step-by-step explanation:
I need the value of x
Answer:
9.9
Step-by-step explanation:
Optional (extra) info to understand length of other leg:
This triangle is an iscoceles, how can I (or we) tell?? Well, the angles of a triangle always add up to 180° and we know the angles of 2 corners, 90° and 45° so we can do this to find the last angle where "c" is the unknown corner:
180 - (90 + 45) = c
180 - 135 = c
45 = c
so "c" is also equal to 45° so we can decisively conclude that this figure is an iscoceles triangle.
How to find x:
Use the pythagorean theorem
c = √a² + b²
Then calculate using that equation
c = √7² + 7²
c = 9.9
In this case "c" is for the length of hypotenus but the image asks for x so
x = c
and
c = 9.9
so
x = 9.9
Hope this helps!
Have a nice evening!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
it x = 9.9
Step-by-step explanation:
Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
a 8 1/2 foot board Is cut Into 2 1/2 foot lengths. how many sections will you have
Answer:
3 whole but 3.4 as a decimal
Step-by-step explanation:
Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment
m
(Round to one decimal place as needed)
ample Get more help-
HW Score: 39.53%, 17 of 43 points
O Points: 0 of 6
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 105 0 min After treatment, the 14 subjects had a
mean wake time of 782 min and a standard deviation of 24 1 min Assume that the 14 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the
mean wake time for a population with drug treatments What does the result suggest about the mean wake time of 105 0 min before the treatment? Does the drug appear to be effective?
The result suggests that the mean wake time might have really reduced since the values barely fall above 100 min as in before treatment with a high degree of confidence. thus , the drug is effective.
Confidence interval is written in the form as;
(Sample mean - margin of error, sample mean + margin of error)
The sample mean represent x , it is the point estimate for the population mean.
Margin of error = z × s/√n
Where s = sample standard deviation = 21.8
n = number of samples = 17
Now the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score
then the degree of freedom, df for the sample.
df = n - 1 = 17 - 1 = 16
Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01
α/2 = 0.01/2 = 0.005
Therefore the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995
the t distribution table, z = 2.921
Margin of error = 2.921 × 21.8/√17
= 15.44
The confidence interval for the mean wake time for a population with drug treatments will be; 90.3 ± 15.44
The upper limit is 90.3 + 15.44 = 105.74 mins
The lower limit is 90.3 - 15.44 = 74.86 mins
Learn more about confidence interval here:
https://brainly.com/question/16148560
#SPJ1
The side of a square is 7 m with a possible error of 0.05 m. Use differentials to approximate the maximum relative error in calculating the area of the square. Remember that the area of a square with side length s is A
Answer:
Step-by-step explanation:
Given :
Length of the side of a square = 7 m
Possible error = 0.05 m
Area of the square of side s is \($A=s^2$\)
Therefore, \($\frac{dA}{ds} = 2s$\)
or dA = 2s . ds
dA = 2 x 7 x 0.05
= 0.7
Therefore, the percentage error is given by :
\($=\frac{dA}{A}\times 100$\)
\($=\frac{0.7}{49}\times 100$\)
= 1.4 %