A. 8,010 × 34
D. 34 × (8,000 + 10)
E. (30 + 4) × 8,010
PLEASE HELP!
The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially. How many grams of the substance are left after 300 years?
a) 5039.684g
b) 2828.427g
c) 3000g
d) 2000g
Answer:
B) 2828.427g
Step-by-step explanation:
Hope this helps!
Expand the expression.
t(–1.2w + 3)
Answer:
-2.5
Step-by-step explanation:
srry if I'm wrong...........
The expression t(–1.2w + 3) can be expanded as -1.2wt + 3t.
What is an expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given expression,
t (-1.2w + 3)
Using distributive property
-1.2wt + 3t
Hence, -1.2wt + 3t is the expanded form of the expression t(–1.2w + 3).
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Helene invested a total of $1,750 in two simple-interest bank accounts. One account paid 4% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $82. Find the amount invested in each account.
Answer:
The amount invested in the account paid 4% is $1150
The amount invested in the account paid 6% is $600
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
P is the amount investedr is the rate in decimalt is the time∵ Helene invested a total of $1,750 in two simple-interest bank accounts
∴ P1 + P2 = 1750 ⇒ (1)
∵ One account paid 4% annual interest
∴ r1 = 4% = 4/100 = 0.04
∵ The other paid 6% annual interest
∴ r2 = 6% = 6/100 = 0.06
∵ The total amount of interest she earned after 1 year was $82
∴ I1 + I2 = 82 ⇒ (2)
∵ t = 1
∵ I1 = P1 × (0.04) × 1
∴ I1 = 0.04 P1
∵ I2 = P2 × (0.06) × 1
∴ I2 = 0.06 P2
→ Substitute them in equation (2)
∴ 0.04 P1 + 0.06 P2 = 82 ⇒ (3)
Now we have a system of equations to solve it
→ Multiply equation (1) by -0.06 to make the coefficients of y equal in
values and different in signs to eliminate it
∵ -0.06(P1) + -0.06(P2) = -0.06(1750)
∴ -0.06 P1 + -0.06 P2 = -105 ⇒ (4)
→ Add equations (3) and (4)
∵ (0.04 P1 + -0.06 P2) + (0.06 P2 + -0.06 P2) = (82 + -105)
∴ -0.02 P1 + 0 P2 = -23
∴ -0.02 P1 = -23
→ Divide both sides by -0.02
∴ P1 = 1150
→ Substitute the value of P1 in equation (1) to find P2
∵ 1150 + P2 = 1750
→ Subtract both sides by 1150 to find P2
∴ P2 = 600
∴ The amount invested in the account paid 4% is $1150
∴ The amount invested in the account paid 6% is $600
HELP PLZZZZZ ASAP
What is the new price of a clock that is on sale for 25% off the original price of $30.00?
$25.00
$22.50
$23.50
$7.50
Answer: $22.50
Step-by-step explanation:
25% of 30 = 7.5
30 - 7.5 = 22.50
Answer:
$22.50
Step-by-step explanation:
$30.00 x %25 or .25 = $7.50
$30.00 - $7.50 = $22.50
which algebraic of an transformation on a coordinate grid does not preserve congruence
Answer:
rotation
Step-by-step explanation:
Find the slope of the line
y = 9/4x - 9/2
Answer:
The slope is 9/4.
Step-by-step explanation:
In the equation y=mx+b, the slope is m. In you're case, the m=9/4.
c) (2x3 + 5x2 - 4x – 5) ÷ (2x + 1) calculate using long division
Nech sa páči dúfam že pomôže
What is a fraction form of 1.40?
Plz help I don’t under stand how to get this common ratio
Answer:
2 over 5
Step-by-step explanation:
Common ratio =
7/ (35/2) = (14/2) / 7
Our answer became 2/5
Mr. Hawkins is covering a wall with
wallpaper. The room measures 14 feet by 12
feet in a rectangular shape. Each square foot
of wallpaper costs $2.90. What is the cost of
adding wallpaper to the room
Answer:
The total cost of adding wallpaper to the room is $487.20
Step-by-step explanation:
Basically, how I got the answer is:
1. The shorter sides of the rectangle are 12 and the longer sides are 14.
2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.
3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.
Hope this helps! :)
The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.
The formula to find the area of a rectangular shape is,
Area of a rectangular shape = Length × Width
Given that,
Length of the wall = 14 feet
Width of the wall = 12 feet
Substituting the given measurements to the formula, we get,
Area of the wall = 14 × 12 = 168 feet²
Also, given that,
Cost for each square foot of wall = $2.90
Cost for 168 square feet = $2.90 × 168
= $487.20
Hence the total cost for adding wallpaper to the room is $487.20.
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What are the X and y intercepts?
Answer:
2,1
Step-by-step explanation:
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at dilferent
times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best-fit line is y = 73.6 --
67.8x, where x is the number of hours spent driving and y is the distance, in miles, from the retailer.
Which of the following statements are true? Select all that apply.
The distance from the retailer decreases with time.
The distance from the retailer increases with time.
OOOOO
The distributor is 73.6 miles away from the retailer
The distributor is 678 miles away from the retailer
The truck is traveling at a rate of 67.8 miles per hour.
Answer:
B. The distance from the retailer decreases with time, D. The distributor is 73.6 miles away from the retailer, E. The truck is traveling at a rate of 67.8 miles per hour.
Answers: B, D, E.
Step-by-step explanation:
algebra 1 please help
Answer:
that seems hard
Step-by-step explanation:
i cant see the pic tho
Which is the best estimate for the percent equivalent to StartFraction 3 Over 8 EndFraction?
Answer:
The answer is 38%.
Mike got 31 out of 50 for a test.
The pass mark is 60%.
Did Mike pass the test?
Answer:
Yes Mike passed the test.
Step-by-step explanation:
31/50 is equal to 62% which is higher than the needed mark to pass.
Answer:
Yes
Step-by-step explanation:
Change denominator to 100 by multiply both denominator and numerator by 2, so 31*2= 62, so he passed the test.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. As the size of a sample increases, the mean of the distribution of sample means increases.
Answer:
False
-As the size of the sample increases, the mean of the distribution of sample doesn't change.
Step-by-step explanation:
From central limit theorem, as the size of a sample size increases, the sample mean and sample standard deviation will be far much more closer in value to the population mean(μ) and standard deviation(σ).
Thus, as the size of the sample increases, there will be no changes to the mean of the distribution of the sample mean.
Can you help me find x and y intercept?
I dont understand how to do it.
Answer:
The y-intercept is where the line crosses the y-axis, and the x-axis is where the line crosses the x-axis. For example, the y-intercept for Line A is 2 because it crosses the y-axis at (0,2) on the coordinate plane.
Step-by-step explanation:
Answer: y= 12 and x= is a value
Step-by-step explanation:
x=2+7=x
y= 7+5=y which is 12
There are 3,072 books in the school library. If 96 students team up to read all the books and each student reads the same number of books, how many books will each student need to read? *
Answer:
32
Step-by-step explanation:
Equivlency:
3072/96 =32
Raymond drove from San Antonio to Dallas in 5.2 Hours. It is 390miles from San Antonio to Dallas. If Raymond drove at a constant rate of speed, and did not stop on the trip, how fast was Raymond driving?
Answer:
75 mph
Step-by-step explanation:
The speed of Raymond from San Antonio to Dallas is given by S = 75 mph
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of Raymond from San Antonio to Dallas be S
Let the distance between San Antonio to Dallas be represented as D
Now , the value of D = 390 miles
Let the time taken for Raymond to travel D miles be T = 5.2 hours
Now , the speed is = Distance / Time
On simplifying , we get
The speed of Raymond from San Antonio to Dallas S = D / T
The speed of Raymond from San Antonio to Dallas S = 390 / 5.2
The speed of Raymond from San Antonio to Dallas S = 75 mph
Hence , the speed is 75 miles per hour
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A cylinder has a height of 9 inches and a diameter of 12 inches. What is its volume?
Answer:
The volume of the cylinder is 4071.5
May I have brainliest please? :)
What postulate would you use to prove PQR TSR?
Answer:
SAS
Step-by-step explanation:
You have two pairs of congruent sides that are congruent.
The included angles are vertical angles, so they are congruent.
That means you have two sides and the included angle in each triangle.
Answer: SAS
Which scenario could be represented by this graph?
a. Randy turns the oven off. After heating his food for 10 minutes, he turns the oven off. The a-axis represents time; the y-axis represents the oven temperature.
b. Randy places a thermometer inside a beaker of water and brings it to a boil. When the water begins boiling, he turns off the heat and waits until the water returns to room temperature. The x-axis represents time; the y-axis represents the temperature reading.
c. Randy turns off the oven. After the oven returns to room temperature, he waits 10 minutes and then turns the oven back on. The x-axis represents time; the y-axis represents the oven temperature
d. Randy place is a thermometer inside a beaker of water and brings it to a boil. the x-axis represents time; the y-axis represents the temperature reading
Answer:
The answer is C
Step-by-step explanation:
When he turned the oven off the temperature dropped. Then is stayed at a steady 0° until he turned it back on, causing the graph to move up again because the temperature rose.
Answer:
The answer is C
Step-by-step explanation:
When he turned the oven off the temperature dropped. Then is stayed at a steady 0° until he turned it back on, causing the graph to move up again because the temperature rose.
What is the best estimate of the quotient of 118.6 ÷ 29
Answer:
4.1Step-by-step explanation:
The quotient id the output of the value when 29 is divided by 118.29
On dividing;
118.6/29 = 4 + {26/29}
4 + {26/29} = 4 + 0.08966
4 + 0.8966 = 4.08966
Hence the best estimate will be the estimate of the value to the nearest one decimal place and that is 4.1.
Subtract. Write the difference in simplest form.
(5n - 3) - (-2n + 7)
Answer:
Simplifying
(5n + -3) + -1(-2n + 7) = 0
Reorder the terms:
(-3 + 5n) + -1(-2n + 7) = 0
Remove parenthesis around (-3 + 5n)
-3 + 5n + -1(-2n + 7) = 0
Reorder the terms:
-3 + 5n + -1(7 + -2n) = 0
-3 + 5n + (7 * -1 + -2n * -1) = 0
-3 + 5n + (-7 + 2n) = 0
Reorder the terms:
-3 + -7 + 5n + 2n = 0
Combine like terms: -3 + -7 = -10
-10 + 5n + 2n = 0
Combine like terms: 5n + 2n = 7n
-10 + 7n = 0
Solving
-10 + 7n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10
Combine like terms: 0 + 10 = 10
7n = 10
Divide each side by '7'.
n = 1.428571429
Simplifying
n = 1.428571429
Answer:
79-10
Step-by-step explanation:
Brainliest please.
a linear graph passes through the point (6,4) and has a slope of 1/3 what is the x-intercept of the graph?
Answer:
74
Step-by-step explanation:
what fraction of 5 liter is 1500 ml
Is the sum positive negative or zero without adding -8+20
Answer:
positive
Step-by-step explanation:
-8+20 will have a positive sum because the positive number 20 is greater than the negative number 8
Answer:
Positive
Step-by-step explanation:
Without adding you can tell wether a number is positive or negative with addition because it is basically a number line. Think of subtracting -8 from 0 which would give you -8. Now add 20 to it causing it to get out of the negatives and become positive.
In Taxland, the first $20,000 of income is exempt from tax. There is a 12% tax rate on income between $20,000 and $50,000, and a 16% tax rate on all income over $50,000.
Mr. Taxi earns $90,000. His average tax rate is
and his marginal tax rate is
.
Write your answer as a percent with one decimal point: for example 2.6%
Answer:
16.0%
16.0%
Step-by-step explanation:
Given that :
First $20,000 is exempt from tax
$20000 to $50000 = 12% tax rate
Over $50000 = 16% tax rate
Earning = $90000
Since earning is greater than $50000
Tax rate = 16% = 0.16
Average tax rate = tax paid / taxable income
Tax paid = 0.16 * 90,000 = $14,400
Average tax rate = 14,400 / 90,000
Average tax rate = 0.16 = 16%
Marginal tax rate :
Change in tax paid / change in earning
Suppose ; amount earned increases to 95,000
Tax paid = 95000 * 0.16 = 15200
Change in tax paid = (15200 - 14400) = 800
Change in earning = 95000 - 90000 = 5000
= 800 / 5000
= 0.16 = 16%
Marginal tax rate = 16%
which points are separated by distance of 6 units?
A. (1,3) (6,3)
B. (7,2) (1,2)
C. (8,1) (1,1)
D. (5,6) (4,6)
After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. In order to correct this problem, you need to:_______.a. increase the population standard deviation b. increase the level of confidence c. increase the sample size d. increase the sample mean e, none of these would help
Answer: C. Increase the sample size
Step-by-step explanation: The confidence interval is a interval estimate of two numbers. From the question, the width confidence interval
Can be modified into a more narrow margin by reducing the standard error. The standard error is the value obtained from the division of standard deviation and the square root of sample size. Hence, a decrease in the standard error will give a more narrow confidence interval estimate. The standard error can be reduced by increasing the denominator of the standard error formula which is the sample size.