12800
Step-by-step explanation:
you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)
B
Set-up an equation and solve for x.
2x-12
H
C
x+9
12
D
+
|| || ||
0000
Answer:
2x – 12 + 12 = x + 9
2x = x + 9
x = 9
Help! Multiply (3.25 x 10−9)(6.7 x 1015). Write the final answer in scientific notation.
21.775 x 10−135
2.1775 x 10−134
21.775 x 106
2.1775 x 107
Answer:
D. 2.1775 x 10^7
Step-by-step explanation:
I just finished the quiz and got it correct
Hope its not to late!
Answer:
2.1775 x 107
Step-by-step explanation:
nina goes to the neighborhood store to buy 14 rolls of paper towels. if she pays $20.02 in all for the purchase, how much does one roll of paper towels cost?
Answer:
$1.43
Step-by-step explanation:
To find how much one roll of paper towels cost, we have to divide the total purchase ($20.02) by the number of paper towel rolls (14).
20.02 ÷ 14
= $1.43
One paper towel roll costs $1.43
Have a lovely rest of your day! :)
Write the equation of the line in slope-intercept form.
It has a coefficient of m = -1 and passes through the point (9, 4).
Answer:
y=-x+13
Step-by-step explanation:
m=-1
m is slope
point is (9, 4)
first use point slope equation
y-y1=m(x-x1)
y-9=-1(x-4)
distribute
y-9=-x+4
isolate the y variable
y=-x+13
Splash city water park has 14 different rides. Each customer goes on an average of 8.4 rides, with standard deviation of 2. The distribution of rides customers go on is normal. What percent of the riders go on more than 10 rides? Round to the nearest percent.
Using the normal distribution, it is found that 21% of the riders go on more than 10 rides.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 8.4, \sigma = 2[/tex]
The proportion of riders that go on more than 10 rides is one subtracted by the p-value of Z when X = 10, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (10 - 8.4)/2
Z = 0.8
Z = 0.8 has a p-value of 0.7881.
1 - 0.7881 = 0.2119 = 21.19% = 21%(rounded to the nearest percent)
21% of the riders go on more than 10 rides.
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Suppose that an angle is bisected to form two smaller angles that measure (3+30)° and (5+6)° . What is the measure of the original angle?
°
Based on the angles addition theorem, the measure of the original angle = 44°.
What is the Angles Addition Theorem?The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.
Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:
The measure of the original angle = (3+30)° + (5+6)°
The measure of the original angle = 33° + 11°
The measure of the original angle = 44°
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Which is the first error that Tomas made?
Answer:
on what nothing there
Step-by-step explanation:
k) pq (r² + 1) - r (p² + q²)
Answer:
pqr²−p²r−q²r+pq
Step-by-step explanation:
Let's simplify step-by-step.
pq(r²+1)−r(p²+q²)
Distribute:
=(pq)(r²)+(pq)(1)+−p²r+−q²r
=pqr²+pq+−p²r+−q²r
=pqr²−p²r−q²r+pq
help please
15 points
need by the end of today
9. Enrique would earn $7. 50 per hour. Option B
10. The number of girls that were at the assembly is 1390 . Option J
11. 40% of 60 is 24 . Option C
12. The simple interest is $72. 00 . Option F
13. The factory produces 1080 shoes on Tuesday. Option D
How to determine the value9. From the information given, we have;
He earns $420He works a total of 56 hoursHe would earn;
= 420/ 56
= $7. 50 per hour
10. We have that;
There are 1200 boys at the assemblyRatio of boys to girls is 20: 23The number of girls at the assembly would be;
= 23/ 20 × 1200
= 1. 15 × 1200
= 1380
11. Let the number be x
40% of x = 24
40/ 100x = 24
0. 4 x = 24
Make 'x' the subject
x = 24/ 0. 4
x = 60
12. The formula for simple interest is expressed as;
Simple interest = PRT / 100
Simple interest = 300 × 4 × 6/ 100
Simple interest = 7200/ 100
Simple interest = $72. 00
13. We have that;
Monday's production = 900 shoes
Tuesday's production = 900 + 900 × 20% = 900 × 20/ 100 = 18000/ 100 = $900 + 180
= $1080
Thus, the total amount Enrique earns per hour is $7. 50 .Option B
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The perimeter of a rectangle is 800 yards. What are the dimensions of the rectangle if the length is 50 yards more than the
width?
Answer:
The length is 225 yd, and the width is 175 yd.
Step-by-step explanation:
Let w = width.
Then the length = w + 50.
perimeter = 2(length + width)
800 = 2(w + 50 + w)
400 = 2w + 50
2w = 350
w = 175
w + 50 = 225
The length is 225 yd, and the width is 175 yd.
Answer:
225 * 175 yards,
Step-by-step explanation:
If the width is x then the length is x+50.
Perimeter = 2(width + length)
800 = 2( x + x + 50)
2x + 50 = 400
2x = 350
x = 175
So, the width is 175 yd and length is 225yd.
PLEASE HELP (at least c)
A machinist is required to manufacture a circular metal disk with area 715cm squared
. Give your answers in exact form. Do not write them as decimal approximations.
a) What radius, x , produces such a disk?
b) If the machinist is allowed an error tolerance of ±5cm2 in the area of the disk, how close to the ideal radius in part (a) must the machinist control the radius?
c) Using the ε / δ definition of a limit, determine each of the following values in this context:
f(x)=
a=
L=
ε=
δ=
The 715 cm² area of the disc and the ±5 cm² error tolerance, gives;
a) x = √(715/π) cm
b) The range for the radius is; [√(710/π) cm, √(720/π) cm]
c)
f(x) = π•x²
L = 715 cm²
E = 5 cm
d = √(5/π) cm
How can the variables in the [tex] \epsilon / \delta [/tex] definition of limits be found?Area of the circular metal disk = 715 cm²
a) Required; The disk radius
Let A represent the area of the disk and let x represent the radius, we have;
A = π•x²
Therefore;
x = √(A/π)
Which gives;
x = √(715/π) cm
b) Allowed area error tolerance = ± 5 cm²
The allowed range of values for the area is therefore;
710 ≤ A ≤ 720Which gives;
√(710/π) ≤ x ≤ √(720/π)
c) From the [tex] \epsilon / \delta [/tex] definition of limits, we have;
[tex] \lim\limits_{x → √(715/π)} f(x) = 715 [/tex]
Which gives;
f(x) = A = π•x²
L = 715
|f(x) - L| < E = 5 cm
|x - √(715/π)| < d = √(5/π)
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Four lines are plotted on the coordinate plane.
Line 1
-10
Line 1
Line 2
Line 3
-10
O Line 4
10
Which line shows a proportional relationship?
Line 2
Line 3
Line 4
Answer:
Line 3
Step-by-step explanation:
Proportional relationship:
• They are straight lines that have a constant slope
• The line must pass through the origin at (0,0)
• The y intercept is zero
The only line passing through the origin at the point (0,0), is Line 3
A rock sample containing an isotope with a half-life of 28 million years has an initial mass of 184 grams. how much time has elapsed after three half-lives?
The half life period is the time in which only half of the given population remains. It can be represented through this equation:
[tex]f(t)=a\times(1/2)^{\frac{t}{h}}[/tex]
t = time passeda = y-intercepth = half lifeSolving the QuestionWe're given:
h = 28 million yearsa = 184 grams (this is the initial mass, after 0 time has passed)For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.
This can be calculated simply by multiplying the given half-life by 3:
28 million years x 3
= 84 million years
Answer84 million years
The 10th term of arithmetic sequence is three and common difference is three find the third term
Answer:
-18
Step-by-step explanation:
From 3 to 10th term is 7 d's ( d = common difference)
3 - 7d = third term
3 - 7(3) = -18
The real estate agent's base salary is $21,000. They also receive 5% commission on total sales. How much in total sales do they have to make in order to earn $70,000 in one year?
======================================================
Work Shown:
x = amount of sales
0.05x = five percent of sales to represent commission earned
21,000+0.05x = add on the base salary to get total salary
21,000+0.05x = 70,000
0.05x = 70,000-21,000
0.05x = 49,000
x = (49,000)/(0.05)
x = 980,000
----------
Check:
If the real estate agent sold $980,000 worth of property, then s/he earned 5% of 980,000 = 0.05*980,000 = 49,000 dollars in commission.
The total salary for the year is 21,000+49,000 = 70,000 dollars. The answer is confirmed.
Which choice shows 17+14+ 13 rewritten correctly using the commutative
property and then simplified correctly?
Answer:
Could I see the available choices?
Step-by-step explanation:
Answer:
didnt have the choices but any that would have it as the same problem different order
Step-by-step explanation:
17+14+13=13+14+17=14+13+17=14+17+13=17+13+14=13+17+14
Money is borrowed at 18% simple interest. after one year, $610.06 pays off the loan. how much was originally borrowed?
The original amount borrowed was $517.
Simple Interest is the method to calculate the interest charged for a given number of years and given rate , in simple interest the principle remains same for each year.
Simple interest =[tex]\frac{P*R*T}{100}[/tex]
where P= principle, R=rate in % , T= time
We know that Amount= Principle+ Simple Interest........(1)
According to the question
Amount=$610.06
Rate=18%
time = 1yr
Substituting the value in equation (1) we get
[tex]610.06=P+\frac{P*18*1}{100}[/tex]
[tex]610.06=\frac{100P+18P}{100}[/tex]
[tex]610.06=\frac{118P}{100}[/tex]
[tex]61006=118P[/tex]
[tex]P=\frac{61006}{118}[/tex]
[tex]P=517[/tex]
Therefore , The original amount borrowed was $517.
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Please help in this questions there a pic for it.!
For 13 through 15 find the final answer
16 Just put final two answers, separate answers with a comma
Please help I really need it.
The amount of tax deductions in one payment period and one year based on a Social Security tax rate of 6.2% and Medicare tax rate of 1.45% are;
13. Kim's weekly Medicare deductions is $7.888
Her annual Medicare deductions is $410.176
14. Jeffrey's annual Social Security tax deductions is $3,517.0616
15. Kareem's annual Medicare tax deductions is $606.97
16. A. Parker's annual Social Security tax deductions is $4,836
B. His annual Medicare tax deductions is $1,131
Which method can be used to calculate the tax deductions?According to the accounting firm BGM website,in the year 2022, an employee is expected to pay a tax of 6.2% of the first $147,000 of wages, for Social Security, and a Medicare tax of 1.45% of the first $200,000
13. Kim's gross weekly salary is $544.
Given that 544 × 52 = 28,288 < 200,000, we have;
Kim's Medicare deduction for one pay period is 0.0145 × $544 = $7.888
Kim receives her payment weekly, therefore, multiplying by 52 gives;
Annual Medicare tax;
52 × $7.888 = $410.176
14. Jeffrey's semimonthly salary = $2,181.80
Jeffrey's tax deductions for Social Security for one pay period is therefore;
0.062 × $2,181.80 = $135.27160
The number of semimonthly payment periods in a year = 26
Jeffrey's annual Social Security tax deductions is therefore;
26 × $135.27160 = $3,517.061615. Kareem's gross biweekly salary is $1,610
Kareem's Medicare deductions per pay period is therefore;
0.0145 × $1,610 = $23.345
The number of biweekly pay periods in a year is 26
Kareem's total Medicare deductions for the year is therefore;
$23.345 × 26 = $606.9716. Parker's gross monthly salary is $6,500
A. Parker's Social Security deductions for one month is therefore;
0.062 × $6,500 = $403
The deductions in a year is therefore;
$403 × 12 = $4,836B. Parker's Medicare deductions for one month is given by the equation;
0.0145 × $6,500 = $94.25
Parker's Medicare deductions for one year is therefore;
12 × $94.25 = $1,131Learn more about tax deduction calculations here:
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Brittney is 4 years older than Dakota. The variable b stands for Brittney's age. Which expression stands for Dakota's age?
A. 4b
B. 4 - b
C. b + 4
D. b - 4
The table shows the amount a restaurant is donating to a local school based on various dinner bills. Is the amount of donation proportional to the dinner bill? If so, what would be the donation for a dinner bill of $50? If not, explain.
The ratio of the donation to the bill in a table from a similar question is constant, which gives;
The amount donated is proportional to the dinner billIf the dinner bill is $50, the amount donated will be $9How can a professional relationship between the variables be established?The possible values in the table as obtained from a similar question are as follows;
Dinner Bill ($) Donation ($)
25 4.50
30 5.40
35 6.30
40 7.20
Let B represent the dinner bill, and let D represent the donation.
The amount of donation is proportional to the dinner bill if each corresponding value of D/B is constant.
Checking gives;
4.5/25 = 5.4/30 = 6.3/35 = 7.2/40 = 9/50
Which gives;
D/B = 9/50
D = 9/50 × BTherefore
The amount donated is proportional to the dinner billIf the dinner bill is $50, we have;
B = 50
Which gives;
D = 9/50 × 50 = 9
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Evaluate Piecewise Functions, please help asap! Thank you!
Answer:
4, -1, 5, -2
Step-by-step explanation:
The difference of two natural number is 2. The sum of their squares is 100.Find the numbers.
The required two numbers are 6 and 8.
Let us denote the required numbers by c and d.
Given that the difference between two natural numbers is 2.
If we assume d > c, then d – c = 2
⇒ d = 2 + c → equation 1.
Also given that the sum of their squares is 100.
⇒ c² + d² = 100
⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)
⇒ 2c² + 4c + 4 = 100
⇒ 2c² + 4c = 96
⇒ 2c(c+2) = 96
⇒ c(c+2) = 48
Using the factorization for 48, we get 6 × 8 = 48
⇒ c = 6
⇒ c+2 = 8
⇒ d = 8
Therefore, the required two numbers are 6 and 8.
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Jorge Rodriguez earns an annual salary of $48,000. What are his weekly wages?
Answer:
923.08
Step-by-step explanation:
48000/52 weeks
Answer:
923.08
Step-by-step explanation:
There are 52.1429 weeks in a year, so divide.
find the sum or standard form of 10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰
Answer:
6
Step-by-step explanation:
10⁰=1
9⁰=1
7⁰=1
5⁰=1
3⁰=1
1¹⁰⁰=1
so,
10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰=1+1+1+1+1+1=6
Answer:
6
Step-by-step explanation:
We are working with exponents
Any number to the power of 0 is 1
a^0 = 1
1 to a power is 1
10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰
1 + 1 + 1 + 1 + 1 + 1
6
SOLVE SOLVE SOLVE SOLVE
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
The given expression is [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }[/tex].
We need to divide and simplify the given expression.
How to divide binomial by monomial?Division of polynomials by monomial means dividing the polynomials which are written as numerators by a monomial which is written as denominators to find their quotient.
Split the denominators to each numerator and cancel out the common terms and simplify.
Now, [tex]\frac{18x^{3}y^{2}+9x^{2} y^{5}}{3x^{2} y^{2} }=\frac{18x^{3}y^{2}}{3x^{2} y^{2}} +\frac{9x^{2} y^{5}}{3x^{2} y^{2}}[/tex]
=6x+3y³
The given expression is simplified as 6x+3y³. Therefore, option A is the correct answer.
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Help me with this please
The correct option is the first one, (1.176*10¹) is 14.7 times larger than (8*10⁻¹)
How many times larger is the first number than the second number?Here we want to see how many times larger is (1.176*10¹) larger than (8*10⁻¹), we can see that both numbers are in scientific notation.
To check that, we just need to take the quotient between the two numbers, we will get:
(1.176*10¹)/(8*10⁻¹) = (1.176/8)*(10¹/10⁻¹)
(1.176/8)*(10¹/10⁻¹) = (1.176/8)*(10¹⁻⁽⁻¹⁾) = (1.176/8)*10² = 0.147*10²
Now, returning to standard notation, we can rewrite:
0.147*10² = 14.7
The correct option is the first one, (1.176*10¹) is 14.7 times larger than (8*10⁻¹)
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A basketball player's free throw percentage is 82.5%, or 0.825.
Write this as a fraction.
A. Identify the place value of the last digit in the terminating
decimal. Use this to determine the denominator of the
fraction. The digits to the right of the decimal point are
the numerator of the fraction.
0.825 = 825
Answer:
The 5 is in the thousandths place.
825/1000
Step-by-step explanation:
Simplified this would be 33/40
825/1000 Divide the top and bottom by 25
Sophia finished 32 pages of a book. She calculated that she finished 90 more pages than she has yet to read. How long is her book?
Answer:
270
Step-by-step explanation:
From (1) and (2), we get,
> y + 90 = 2/3X
> 1/3 X + 90 = 2/3X
> 90 = 1/3 X
> X = 270
Therefore
-1. 64 as a mixed number in simplest form
Answer:
Step-by-step explanation:
What is the domain and range of the function below?
