Answer:
The answer is A
Step-by-step explanation:
y=-0.5x + 225
This is because every month 50 cents which can be written as 0.5 is taken off the account so it would be negative. Since X = the number of months, you would multiply it by 0.5, hence -0.5x. Since 225 is the orginial balance you would add that.
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Find the slope of the line containing the pair of points.
(8,-2) and (1,7)
Answer:
-9/7
Step-by-step explanation:
∆ y = 7-(-2) = 9
∆ x = 1-8 = -7
m = ∆y/∆x = -9/7
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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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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At its farthest point, the moon is
252,088 miles away from Earth.
Jillene said the moon is about
250,000 miles away from Earth.
To what place did Jillene round
the distance?
The moon is 252,088 miles from Earth at its farthest point. The Jilene travel distance rounding the corner is 250000 miles.
Given that,
The moon is 252,088 miles from Earth at its farthest point.
According to Jillene, the moon is located roughly 250,000 miles from Earth.
We have to find where did Jillene travel distance rounding the corner.
From the given,
We have distance as 252088 miles.
We can say the approximation of the given miles.
Which we can approximately write as
250000 miles
Therefore, the Jilene travel distance rounding the corner is 250000 miles.
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A tulip is 2 inches tall after 1 week, 5 inches after 2 weeks, and 8 inches after 3 weeks. Which functions shown below can be used to determine the height, f(n), of the tulip in n weeks. 1. f(n) = 3n-1 2. f(n) = 3+2(n-1) 3. f(n) = f(n-1) + 3 where f(1) = 2
The answer is option(1) i.e, f(n) = 3n-1, This question is of Arithmetic Sequence
What is Arithmetic Sequence?
Arithmetic Sequence the difference between one term and the next is a constant. Formula is,
aₙ = a + (n-1)d
aₙ = the nᵗʰ term in the sequence
a = the first term in the sequence
d = the common difference between terms
According to question the sequence is,
2 inches, 5 inches, 8 inches .....
where, a = 2
d = 5 - 2 = 3
Now, put these value in formula i.e, aₙ = a + (n-1)d
aₙ = 2 + (n - 1) * 3
= 2 + 3n - 3
= 3n - 1
Therefore, the answer is option(1) i.e, f(n) = 3n-1.
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Got an rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 76 cents for each mile driven. Goes. Had to pay $216.27 when he returned the truck. For how many miles did he drive the truck?
Solution
[tex]\begin{gathered} 20.96+0.76m=216.27 \\ \\ \Rightarrow0.76m=216.27-20.96 \\ \\ \Rightarrow m=\frac{195.31}{0.76}=257\text{ miles} \end{gathered}[/tex]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
Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period.
$60000 to be accumulated in 11 years; annual payments of 4173$.
The interest rate needed is approximately ___%
The interest rate is approximately 5.23%.
Interest is the amount paid over and above the principal amount to a lender or depositor by a borrower or financial institution at a predetermined rate in the domains of finance and economics (the amount borrowed).
It differs from any fees the borrower may be required to pay to the lender or another party. It also contrasts from dividends, which are paid out to shareholders (owners) by a company from its profit or stockpile, but not at a predefined rate but rather on a pro rata basis as a portion of the reward received by risk-taking businesspeople when the revenue obtained exceeds the overall expenses.We know that the amount from an loan is calculated by the formula
[tex]A=P[\frac{(1+i)^n-1}{i}][/tex]
Now we will substitute that values to calculate the value of i.
putting the values we get that the value of i is 0.05229...
Therefore the rate of interest is approximately 5.23%.
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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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If MJ is 25 ft. long and M'J' is 5 feet long, what was the scale factor, k?
The scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5
If MJ is considered as the original figure, it is 25 ft. long.
The image of MJ, M'J' is 5 feet long
Scale factor is generally understood as the number of times the dimensions of the image is enlarged or diminished
Scale factor = Dimension of the new image ÷ Dimension of the original shape
Scale factor = M'J' length/ MJ length
k = 5/25
k = 1/5
The value of scale factor = 1/5, which means the new image is diminished.
Therefore the scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5.
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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:
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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Ta'Niyah and Aaron are racing around a track. Ta'Niyah started the race with a 50 feet head start. Ta'Niyah runs at a pace of 48 feet per second. Aaron runs at a
pace of 32 feet per second. Write an inequality to represent when Ta'Niyah's distance is greater than Aaron.
Answer:
123
Step-by-step explanation:
did it in my head
(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
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.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
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]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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In the figure above, what is the value of x?
x=y because they are opposite corners at the top
a machine produces 6 pairs of jeans in one hour work out how many hours it would take to make 39 pairs
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
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
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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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
at the beginning of the day the stock market goes up 30 1/2 points .at the end of the day the stock market goes down 120 1/4 points what is the total chnage in the stock market from the day beginning of the day to the end of the day. PLSSS HURRY ITS INPORTANT PLSSSSSSSSSSSSSSSSSSSSSSSS HURRY
The total chnage in the stock market from the day beginning of the day to the end of the day is -89 3/4 points.
How to calculate the value?A stock market simply means the market where shares and stocks are sold.
In the information illustrated, at beginning of the day the stock market goes up 30 1/2 points and at the end of the day the stock market goes down 120 1/4 points.
The change will be the the operation of the numbers through the use of addition when it goes up and subtraction when it comes down. This will be:
= 30 1/2 - 120 1/4
= -89 3/4
The change is -89 3/4 points.
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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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Someone please help????
Answer:
11.68 m^2
Step-by-step explanation:
area of triangle = 1/2(b)(h)
b = 7.3, h = 3.2
1/2(7.3)(3.2) = 11.68
Answer:
11.68m
firstly remember area of triangle is half multiplied by base multiplied by height
Find the slope of the line that passes through the given points. Write the slope in simplest form
(2.-2).(-7. - 5)
Slope:
5y+6x=40
3y-8x=-46
x=
y=
Answer: (x,y) = (175/29, 22/29)
Step-by-step explanation:
solve the equation
y = 8 - 6/5x
3y - 8x = -46
substitute the value of y
3(8 - 6/5x) - 8x = -46
solve the equation
x = 175 / 29
substitute the value of x
y = 8 - 6/5(175/29)
solve the equation
y = 22/29
answer: (x,y) = (175/29, 22/29)
Can somebody help with number 10
Check the picture below.