Answer:
[tex]A(t) = 600(1.035)^8[/tex]
The ending balance is of $790.1.
Step-by-step explanation:
Compound interest:
The amount of money earned after t years, in compound interest, is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
$600 that earns 3.5% compound interest over 8 years
This means, respectively, that:
[tex]A(0) = 600, r = 0.035, t = 8[/tex]
So, the formula is:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 600(1+0.035)^{8}[/tex]
[tex]A(t) = 600(1.035)^8[/tex]
Ending balance:
The ending balance is:
[tex]A(t) = 600(1.035)^8 = 790.1[/tex]
The ending balance is of $790.1.
someone please help these questions are due at 11;59 today please help urgent
1)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 258.5-cm and a standard deviation of 2.3-cm. For shipment, 30 steel rods are bundled together.
Find the probability that the average length of a randomly selected bundle of steel rods is between 258.5-cm and 259-cm.
P(258.5-cm < M < 259-cm) =
Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
2)
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 127.1-cm and a standard deviation of 1.6-cm. For shipment, 6 steel rods are bundled together.
Find P17, which is the average length separating the smallest 17% bundles from the largest 83% bundles.
P17 =
-cm
Enter your answer as a number accurate to 2 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
1) P(258.5-cm < M < 259-cm) = 8.71%.
2) P17 = 125.57cm
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Question 1:
Mean of 258.5-cm and a standard deviation of 2.3-cm, which means that [tex]\mu = 258.5, \sigma = 2.3[/tex]
Find the probability that the average length of a randomly selected bundle of steel rods is between 258.5-cm and 259-cm.
This is the pvalue of Z when X = 259 subtracted by the pvalue of Z when X = 258.5.
X = 259
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{259 - 258.5}{2.3}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
X = 258.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{258.5 - 258.5}{2.3}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
0.5871 - 0.5 = 0.0871
0.0871*100% = 8.71%. So
P(258.5-cm < M < 259-cm) = 8.71%.
Question 2:
Mean of 127.1-cm and a standard deviation of 1.6-cm, which means that [tex]\mu = 127.1, \sigma = 1.6[/tex]
Find P17, which is the average length separating the smallest 17% bundles from the largest 83% bundles.
This is the 17th percentile, which is X when Z has a pvalue of 0.17. So X when Z = -0.954.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.954 = \frac{X - 127.1}{1.6}[/tex]
[tex]X - 127.1 = -0.954*1.6[/tex]
[tex]X = 125.57[/tex]
P17 = 125.57cm
Help please. Mathematics question 6.
[tex]{ :{ \implies { \tt{ \blue{ \frac{1}{4} x + 3 - \frac{1}{3} x + ( - 2)}}} }}\\ \\ \\ { : { \implies{ \blue{ \tt{ \frac{1}{4} x - \frac{1}{3} x + 3 - 2}}}}}[/tex]
[tex]{ : { \implies{ \tt{ \blue{ \frac{1}{4} x - \frac{1}{3} x + 1}}}}} \\ \\ \\ { : { \implies{ \tt{ \blue{ \frac{3x - 4x + 12}{12}}}}}} [/tex]
[tex]{ :{ \implies{ \blue{ \tt{ \frac{12 - x}{12}}}}}} \\ \\ \\ { : { \implies{ \blue{ \tt{1 - \frac{x}{12}}}}}} [/tex]
option ( D ) is correct
can somebody help me with math TwT:
question one 1: Which number(s) are 6 units from zero on a number line?
1. 3
2. 6
3. -6
4. 12
----------------------------------------------------------------------------
Question 2 ^^: Which comparison is not correct?
1. -3 < 4
2. 3 < 6
3. 1 > -9
4. -8 > -6
tell me the answers also for question 1 its either one or more than one answer ^^ ty and please don’t steal my points :(
1. 12 (i think)
i don't know about question 2
Answer: -8 > -6
Step-by-step explanation:
Help me help me pls!
Answer:
13.6 units (to 3 significant figures)
Step-by-step explanation:
C ( -4,6) and D (-4,-5)
the formula for distance is : √(x2 - x1)² + (y2-y1)²
in this case x1= -4 , x2= -4 and y1 =6 , y2 = -5
so substitute the values and you will get the answers
Type the expression that results from the following series of step
Start with Z, subtract y, then divide by x.
Answer:
z-y/x
Step-by-step explanation:
then z
then z-y
z-y/x
pleeeaassee First person get brainliest!!!!
Answer:
D. 32 inches 65-33=32 so its 32 inches
Step-by-step explanation:
There are 4 classrooms for fifth grade and 4 classrooms for sixth grade at a school. Each classroom has 20 students. A teacher is planning a field trip for some fifth and sixth grade students at this school. The teacher knows the following information:
90% of fifth and sixth grade students have permission to go on the trip.
4 teachers are going on the trip.
The school requires 1 parent volunteer for every 8 students going on the trip.
Part A
How many parent volunteers are needed to go on the trip?
Answer:
18
Step-by-step explanation:
Fifth grade has 80 students and sixth grade has 80 students. so if you get 90% of both then you have 72 and 72. Add and divide by 8 and you have the answer of 18 parent volunteers going.
Answer:
18 pls give brainliest i never get them :(
Step-by-step explanation:
Solve the linear system below using the substitution method.
y = 5x – 22
3x +2y=34
Answer:
Use photo math, it will explain all the steps
Answer:
x = 6 , y = 8 ( 6 , 8 )
Step-by-step explanation:
If we solve the linear system that you gave us,
y = 5x – 22
3x +2y=34
We get that x is 6 and y is 8.
In other words, since it's a point, it should be, ( 6 , 8 )
36 is 18% of what number
Answer:
200
Step-by-step explanation:
Do 36/0.18
200
This is the table answer this please
Answer:
so answer is b.42
Step-by-step explanation:
3 7
6 14
9 21
every time width increase by 3 length increase by 7 so:
12 28
15 35
18 42
8. What is the area inside of the track?
HELP PLEASE DUE IN 4 MINUTES
Answer:
8/3
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
this is the correct answer
Please help me solve this I’ll give you all my points
Answer:
170
Step-by-step explanation:
please help me. I can't find this out
Answer:
-1
-1
5
-1,3
7fufuviiviviv8h
Simplify the following fraction: 12/8
Answer:
3/2 or 1.5
Step-by-step explanation:
have a good day
Which function models the sum?
the table above represents what
Answer: exponential decay
Step-by-step explanation:
Exponential decay means that it's getting smaller and you can see that the numbers are getting smaller on the y axis.
Hope this helps :)
Stewart's pencil is 4.1 centimeters more than twice the length of Nora's pencil. Nora's pencil is 5.5 cm
long.
Which equation can be used to find s, the length of Stewart's pencil in centimeters?
AS = 2(4.1) - 5.5
CS = 2(4.1) + 5.5
В
S = 2(5.5) + 4.1
DS = 2(5.5) - 4.1
Answer:
S = 2(5.5) + 4.1
Answer: s= 2(5.5) + 4.1
A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?
I know it's 144 but 144 what?
Answer:
144in square
Step-by-step explanation:
can someone help and show the working out please x
For the shower multiply the amount of water per minute by number of minutes:
10.6 x 7 = 74.2 liters.
Calculate volume of the tube and the amount of water in it:
35 x 40 x 120 = 168,000 cubic cm.
Convert to liters:
168,000/ 1000 = 168 liters.
Savings = 168 - 74.2 = 93.8 liters
what is -1/8 - 6 7/8
Answer:
-7
Step-by-step explanation:
I am sorry if I got it wrong.
Find the inverse of the function.
f(x) = -3x + 7
The length of a rectangle is x feet more than its width. The area of the rectangle is 5x + 25. What is the width of the rectangle?
Answer:
w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Before we start the solving, we can make the following statements:
Area = l x w
Area = 5x + 25
therefore,
l x w = 5x + 25
Since the question states that the length is x more than the width, so we can make the following statement:
w = l + x
With this, we can substitute it to the first statement we made, l x w = 5x + 25,
l x (l + x) = 5x + 25
[tex]l^{2}[/tex] + lx = 5x + 25
lx - 5x = 25 - [tex]l^{2}[/tex]
x(l - 5) = 25 - [tex]l^{2}[/tex]
x = [tex]\frac{25 - l^{2}}{l - 5}[/tex]
From this, we can find w by substituting it in the statement we made earlier, w = l + x,
w = [tex]l + \frac{25 - l^{2}}{l - 5}[/tex]
Does anyone know the answer to this and how to solve it? I’m completely lost-
Answer:
314
Step-by-step explanation:
Does the line cuts through the diameter of the circle?
If so just apply π * 10^2 = 314.15 radius is just 20/2 = 10
What are the steps to solve a quadratic equation? (If you do not give a thorough explanation you will be reported.) Have a good day! :)
Answer:
See belowStep-by-step explanation:
first thing you didn't give any quadratic equation and also didn't allude which method you indeed however I'll give you two methods
factoringquadratic formulato get elaborately factoring method
see this question which is answered by me
https://brainly.com/question/22505331quadratic formula:
[tex] \displaystyle \: x = \frac{ - b \pm \: \sqrt{ {b}^{2} - 4ac } }{ 2a} [/tex]by using this formula we can solve quadratic very early
we just need to substitute the value of a,b and c and simply to get x
https://brainly.com/question/9701183?referrer=searchResultsExample 1 – Solve: Example 1
Step 1: Identify a, b, and c and plug them into the quadratic formula. In this case a = 1, b = –8, and c = 14.
Step 1
Step 2: Use the order of operations to simplify the quadratic formula.
Step 2
Step 3: Simplify the radical, if you can. In this case you can simply the radical into:
Step 3
Step 4: Reduce the problem, if you can. In this case you can reduce the entire problem by 2.
19) An airplane has 150 passengers. 48% of the passengers are traveling alone.
How many passengers are traveling alone?
Answer:
72 passengers
Step-by-step explanation:
What we know:
There are 150 passengers in total48% of the passengers are travelling aloneTo find how many passengers are travelling alone, multiply 150 by 48%.
48% ⇒ 0.48 as a decimal
150 × 0.48 = 72
Therefore, 72 passengers are travelling alone.
I hope this helps!
Answer:
72
Step-by-step explanation:
Work out the area of this circle. Give your answer in terms of pi and state its units.
9514 1404 393
Answer:
36π mm²
Step-by-step explanation:
You know that (ab)² = a²b². This tells you that ...
πr² = π(6 mm)² = π(6² mm²) = 36π mm²
The units of area are square millimeters (mm²).
_____
Additional comment
For a variety of reasons, I find it is often helpful to keep units of measure with the associated number. It serves as a check on the arithmetic, among other things. If the units don't make sense, chances are good that the math doesn't make any sense.
It should be fairly obvious that if linear dimensions are in millimeters, then the corresponding area dimensions will be square millimeters. (Volume will be cubic millimeters.)
In the math, the units can be treated in the same way as any other variable. This tells you, for example, that you can only add (or subtract) measures with the same units (like terms). Division can be used to cancel same units, or to get from volume to area, for example (mm³/mm = mm²).
the ratio of lampreys to oarfish in the marine aquarium was 27:22 if there were 162 lampreys in the aquarium how many oarfish were there
Answer:
132
Step-by-step explanation:
First divide the number of lampreys by the ratio.
162/27=6
Then multiply the result (6) by the oarfish part of the ratio
22*6=132
you can see that there is 8 cm in middle of the trapezoid. above the trapezoid, it says 6 cm, below the trapezoid, it says 11 cm. find the area of the trapezoid and answer this question in square cm.
Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height or distance between the two bases
A=h(b1+b2)/2
Here we have h=8cm, b1=6cm, and b2=11cm so
A=8(6+11)/2
A=8(17)/2
A=4(17)
A=68 cm^2
10 cm 5 cm What is the perimeter of this rectangle?
Answer:
30 cm
Step-by-step explanation:
To find the perimeter you will have to use the formula L2 + W2 = A
1. Multiply the length (let's say 10 cm) by 2
a. 20
2. Do the same for width (5 cm)
a. 10
3. Add together
a. 20 + 10 = 30 cm
(There is another way to do it but this is easier)
Hope this helps :)