Please help if you can
Answer: w < 24
Step-by-step explanation:
You first take the - 3 on the left side and transfer over to the other side adding 3 more to the 3
Then you want to get rid of 1/4 by multiplying both sides by 4 multiplying 6 x 4 giving...
w < 24
Question 1 (Essay Worth 10 points)
(05.01 HC)
n
Larry and Peggy are making decisions about their bank accounts, Larry wants to deposit $350 as a principal amount, with an interest of 4% compounded quarterly
Peggy wants to deposit $350 as the principal amount, with an interest of 6% compounded monthly. Explain which method results in more money after 2 years. Show all
work.
$394.51 is future value of money after 2 years.
What future value means?
A current asset's future value (FV), which is based on an estimated rate of growth, is its value at a later time. Investors and financial planners use the future value to project how much an investment made now will be worth in the future.The method that results in more money after 2 years is Peggy's investment.
Which method results in more money in 2 years?
The formula for calculating the future value of an investment:
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
Future value of Larry's investment: $350 x [1 + (0.04/4)]^(4 x 2) = $379
Future value of Peggy's investment: $350 x [1 + (0.06/12)]^(12 x 2) = $394.51
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upper and lower bound of a number rounded to nearest whole
The upper and lower bounds of each of the numbers are;
1a) Upper bound of 6 = 6.5
Lower bound of 6 = 5.5
b) Upper bound of 83 = 83.5
Lower bound of 83 = 82.5
c) Upper bound of 152 = 152.5
Lower bound of 152 = 151.5
The range as intervals of inequality are;
i) 5.5 ≤ x ≤ 6.5
ii) 82.5 ≤ x ≤ 83.5
iii) 151.5 ≤ x ≤ 152.5
What is the Upper bound and lower bound of the number?The procedure to identify the upper and lower bounds is;
1) Identify the place value of the degree of accuracy stated.
2) Divide this place value by 2.
3) Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound.
ai) Since it was approximated to the nearest whole number, then we say that the place value of the degree of accuracy is 1.
Divide by 2 to get; 1/2 = 0.5
Upper bound of 6 = 6 + 0.5 = 6.5
Lower bound of 6 = 6 - 0.5 = 5.5
ii) Since it was approximated to the nearest whole number, then we say that the place value of the degree of accuracy is 1.
Divide by 2 to get; 1/2 = 0.5
Upper bound of 83 = 83 + 0.5 = 83.5
Lower bound of 83 = 83 - 0.5 = 82.5
iii) Since it was approximated to the nearest whole number, then we say that the place value of the degree of accuracy is 1.
Divide by 2 to get; 1/2 = 0.5
Upper bound of 152 = 152 + 0.5 = 152.5
Lower bound of 152 = 152 - 0.5 = 151.5
bi) The range as an inequality is;
5.5 ≤ x ≤ 6.5
ii) The range as an inequality is;
82.5 ≤ x ≤ 83.5
iii) The range as an inequality is;
151.5 ≤ x ≤ 152.5
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PLS HELP!!!
Marcus was offered a position which pays a salary of $250 every week and a 25-cent commission for each ice cream cone he sells. Marcus sells an average of 128 ice cream cones each week. How much will Marcus make in the new position? Compare this to how much he made for a week at his current job. Should he take the new position? Why or why not? (5 points)
Answer:
His salary will be $282
Step-by-step explanation:
There is not written the salary of his current job, so i can't answer all questions.
anywwy for the first one you just have to do:
[tex]250 + 128 \times 0.25[/tex]
and the results is $282
In the figure above, what is the value of x?
x=y because they are opposite corners at the top
(x⁴)²x‐³______x⁵x⁹I'm trying to do this exercise in this exercise book preparing me for a GED I have in November I have not done math in 20 years could you help me with this exercise I have like 10 exercises so much for this and if you can help me step by step so I know how to do the this one then I could do the other ones myself I would greatly appreciate it
write an equation of a line that is perpendicular to the line y-8=4(x-5)
Equation of the new perpendicular line is [tex]y - y_{1} = -\frac{1}{4} (x- x_1)[/tex]
How to calculate the new perpendicular line?
The given equation is:
y- 8=4 (x-5)
This equation is of the point- slope form
[tex]y- y_{1}= m(x-x_{1})[/tex]
y - 8 = 4( x-5 )
So, the slope (m) is m = 4
The points [tex](x_1,y_1) = (5,8)[/tex]
Hence, slope of the line perpendicular to the given line is
m = [tex]-\frac{1}{4}[/tex]
The equation of the new perpendicular line is :
[tex]y- y_{1}= m(x-x_{1})\\\\y - y_{1} = -\frac{1}{4} (x- x_1)[/tex]
Since the points through which the line passes is not given.
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Find the slope of the line that passes through the given points. Write the slope in simplest form
(2.-2).(-7. - 5)
Slope:
Solve the inequality for X
-24X is less than or equal to 2X -10 is less than -6
The solution to the inequality expression is 5/13 ≤ x < 2
How to determine the solution to the inequality?The inequality expression is given as
-24x is less than or equal to 2x -10 is less than -6
Rewrite the expression properly as follows
-24x ≤ 2x - 10 < -6
Expand the expression
So, we have the following expression
-24x ≤ 2x - 10 and 2x - 10 < -6
Evaluate the like terms in the above statements
So, we have
-26x ≤ - 10 and 2x < 4
Divide the constants by the coefficient of x
So, we have
x ≥ 5/13 and x < 2
Rewrite as
5/13 ≤ x and x < 2
Combine the inequalities
5/13 ≤ x < 2
Hence, the solution is 5/13 ≤ x < 2
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The circulation of a newsletter decreased from 6500 to 3575. What was the percentage decrease in circulation?
Answer:
Step-by-step explanation:
6
Which of the following shows the power of a Quotient Property?
The power of a quotient states that if you power a quotient, the result is equal as if you had powered the numerator and denominator by the same index separatelly before makinf the division
[tex](\frac{a}{b})^2=\frac{a^2}{b^2}[/tex]A parabola can be drawn given a focus of
(3, -9) and a directrix of y = -5. Write
the equation of the parabola in any form.
The equation of parabola is y = -8(x -3)² - 9.
Define parabola.A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given Data
Focus = (3, -9)
Directrix: y = -5
The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.
The parameter of the parabola is the separation between the focus and the directrix, so
p = -9 - 3
p = -12
p = 12
The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).
Since a parabola moves in the opposite direction of y, its equation is
y -(-9) = -2(4(x -3)²)
y + 9 = -8(x-3)²
y = -8(x -3)² - 9
The equation of parabola is y = -8(x -3)² - 9.
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The weight of 6 eggs is 258 grams. Identify the constant of proportionality of total weight to number of eggs.
45
39
41
43
Answer: 45
Step-by-step explanation:
how do you solve for percents
Answer:
for calculator steps
Step-by-step explanation:
-Find out what 1% of the whole amount (B) is - to do this you divide it by 100.
-Once you know the value of 1% you can multiply this amount by the number of percent you want to find.
-If you want to find 10% of 50 you divide 50 by 100.
-From this you know that 1% of 50 is 0.5
-So to find 10% you just multiply 0.5 by 10
-0.5 x 10 = 5
-10% of 50 = 5
A sloppy joe restaurant gave 9 napkins for every 8 items ordered. If someone bought 16 items. How many napkins would they get
18 because 9x2=18
Hope this helped
Answer:
ur answer is 18
9 napkins every 8 items
8x2=16 then since u have 16 and u get 9 napkins every 8 items u get 18 bc
9×2=18
The area of a rectangle is x^2-3x-18.What are the dimensions?
Factor the trinomial to find a possible combination of dimentions that the rectangle could have:
[tex]x^2-3x-18[/tex]To factor the trinomial, remember that the following product of binomials is equal to:
[tex](x+a)(x+b)=x^2+(a+b)x+ab[/tex]Then, we need to find two numbers a and b such that their product is equal to the constant term -18 and their sum is equal to the linear coefficient -3.
Since the product is negative, one number is negative and the other is positive.
Since the sum is negative, the greatest number is negative.
Two numbers whose difference is 3 and whose product is 18 are 6 and 3.
Notice that:
[tex]\begin{gathered} -6+3=-3 \\ (-6)(3)=-18 \end{gathered}[/tex]Then:
[tex]x^2-3x-18=(x-6)(x+3)[/tex]Therefore, the dimensions of the rectangle, are:
[tex](x-6)\text{ and }(x+3)[/tex]Isaac factored 8x^2-20x-12 to (8 x+4)(x-3) and claims this is the correct answer because his factored solution simplifies back to the original quadratic expression. is Issac's statement correct? please explain.
If we multiply the second expression by using the distributive property and it matches the first expression, then Isaac is correct.
The distributive property is:
[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]Let's use this property to multiply out the 2nd expression:
[tex]\begin{gathered} (8x+4)(x-3) \\ =\mleft(8x\mright)\mleft(x\mright)-\mleft(8x\mright)\mleft(3\mright)+\mleft(4\mright)\mleft(x\mright)-\mleft(4\mright)\mleft(3\mright) \\ =8x^2-24x+4x-12 \\ =8x^2-20x-12 \end{gathered}[/tex]This expression is exactly the same as the original expression. Thus, Isaac is correct.
Answer:
Isaac's statement is correct
a machine produces 6 pairs of jeans in one hour work out how many hours it would take to make 39 pairs
the question is:Lin's dad bought a tablet. He pays the same amount each month for a subscription to a movie streaming service. The graph represents how much money he has spent, y, for the tablet and x months for the service. the slope of the line is 10.
The equation of a line is y=mx+b
m is the slope
b is the y intercept
Looking at the graph, the y intercept is 10 because the line crosses the y-axis at 10
Since they said the slope is 10, the equation of the line is:
y=10x+10
the edges of a cube are expanding at a rate of 5 centimeters per second. how fast is the surface area increasing
The surface area is increasing at the rate of (60 x + 150) cm² per second.
Let the side of the cube be x cm.
s = x cm
Surface area of the cube will be:
S = 6 x² cm²
Now, we are given that, the side of the cube is expanding 5 cm per second.
So, the side of the cube after 1 second will be:
s' = x + 5 cm
Surface area will be:
S' = 6 (x + 5)² cm²
S' = (6x² + 150 + 60 x) cm²
Change in the surface area is:
ΔS = (6x² + 150 + 60 x) cm² - 6 x² cm²
ΔS = (60 x + 150) cm²
Therefore, the surface area is increasing at the rate of (60 x + 150) cm² per second.
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Use the given information to write an equation to represent the linear relationship in point-slope form.
A polar bear gained 0.4 kilogram each week after it was born. After 3 weeks, it weighed 1.7 kilograms.
The polar bear has a birth weight of 0.5 kilogram.
The linear equation is y = x + 0.4t
Given,
The weight gained by polar bear each week after it was born = 0.4 kg
The weight of polar bear after 3 weeks = 1.7 kilo grams
We have to write an linear equation to represent this ;
Here,
y be the weight of polar bear
x be the initial weight
t be the number of week.
So,
the equation be like;
y = x + 0.4t
Then,
1.7 = x + 0.4 x 3
x = 1.7 - 1.2 = 0.5
The polar bear has a birth weight of 0.5 kilogram.
The linear equation is y = x + 0.4t
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On a math test, Sarah has to identify all the coefficients and constants of the expression 4+n+7m. Sarah identifies the only coefficient as 7 and the only constant as 4.
Answer:
Step-by-step explanation:
doesn't that mean that n & m are variables
Answer:
Step-by-step explanation:
The answer is 7The answer is 4 and nHer error was that she only put 4 as the constant but constants are both numbers and letters on their own.The mean cost of a box of cheerios oat crunch is $4. 00 and the variance is. 35. If the price increases by 25 cents a box, what is the new variance?.
The new variance for the data is 0.35 .
In statistics and probability theory, variance is the predicted squared deviation of a stochastic process from its mean or actual values.
Dispersion, or how far apart from the mean a set of data are from one another, is measured by variance.
A few ideas that involve variance are descriptive statistics, parameter estimation, testing hypotheses, quality of fit, and Monte Carlo sampling.
Variance is a vital tool in the fields where statistical data analysis is widely used.
The standard deviation squared is a measure of the variance, which is also referred to as the second systematic of a distribution and the correlation between the random variable and itself.
We know that variance = (standard deviation)²
When the value of the data increases by 25 cents a box , then the standard deviation will remain the same as the mean will only increase and the change in mean has no effect on the SD.
Hence the variance will effectively remain the same.
therefore the new variance is 0.35
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Can someone pls help
ADJACENT SIDE IS THE SIDE WHICH THE ANGLE IS LYING ON WE CAN LITERALLY SEE THAT THE ANGLE □ IS LYING ON SIDE EF MEANING SIDE EF IS THE ADJACENT SIDE.
SECOND OPTION IS THE ANSWER.
Can somebody help with number 10
Check the picture below.
Do the ratios 11 14 and 1 2 form a proportion?
Answer:No
Step-by-step explanation:
Cross multiply
11x2=22; 14x1=14
14 and 22 are not equal, Thus it does not form a proportion.
The length of the square is 12in what is the area of the shaded region
The square has sides of 12 in and the area of a square is side × side. The area of the shaded region exists 144 sq. in.
How do we find the area of a square?The area of a square can be estimated by squaring the number describing the measure of the side of the square.
The area of a shape exists as the number of unit squares needed to completely cover it. Therefore, it exists calculated and expressed in square units.
The area of a square exists equivalent to (side) × (side) square units. The area of a square when the diagonal, d, exists given exists d²÷2 square units.
The square has sides of 12 in and the area of a square is side × side. Therefore, the area exists 12² which is 144 sq. in.
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The water level of a lake rose by 1 1/4 in. during a 1 1/2-week-long wet spell. Simplify the complex fraction below to find the average rate at which the water level changed every week.
The average rate at which the water level changed every week is 5/6 inches.
What is a fraction?It should be noted that a fraction is represented as a/b. In this case, a implies the numerator and b is the denominator.
In this case, the water level of a lake rose by 1 1/4 in. during a 1 1/2-week-long wet spell
The average rate at which the water level changed will be:
= The fraction at which it rose / Number of weeks
= 1 1/4 ÷ 1 1/2
= 5/4 ÷ 3/2
= 5/4 × 2/3
= 10/12
= 5/6
It rose at 5/6 inches every week.
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True or False. These two expressions are equivalent.
6x + 10 and 2(x+5)
true or false
Answer:
Step-by-step explanation:
These two equations are not equivalent. 2(x+10) can be simplified to 2x+10, which would not be equal to 6x+10. So, the answer to your question would be false.
Katie is building a model of a building based on a scale of 1 cm = 4 ft. If the model of the building is 41 cm tall, what is the height of the actual building
Answer: 164ft
(this is for the extra characters)