Answer:
o.2222
Step-by-step explanation:
just divide one by five
hope that helps
Nicks lunch cost $14.75 tax was 1.03 and he left a tip of 2.50 how much did he pay for his lunch
Answer:
$18.28
Step-by-step explanation:
To complete this problem is a straightforward answer:
First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!
A young executive is going to purchase a vacation property for investment purposes. She needs to borrow $128,000.00 for 25 years at a 5.3% annual interest rate, with interest compounded monthly, and will make monthly payments of $770.82. (Round all answers to 2 decimal places.)
Create an amortization table to answer the following:
a) What is the unpaid balance after 9 months? $
b) Over the 9 months in part (a), how much total interest did she pay?
Answer:
(a) After 9 months, the unpaid balance is $125,874.09.
(b) Over the 9 months, she paid a total of $4,918.56 in interest.
To create the amortization table, we can use the formula for calculating the monthly payment of a loan:
P = (r * A) / (1 - (1 + r)^(-n))
where:
P = monthly payment
r = monthly interest rate
A = loan amount
n = total number of payments
In this case, we have:
A = $128,000.00
n = 25 years * 12 months/year = 300 months
r = 5.3% / 12 = 0.00441666667
Using the formula, we can calculate the monthly payment:
P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))
P = $770.82
Now, we can create the amortization table:
If y = 5x + 1 is changed to y = 2x +
1, how would the graph of the new function compare with the first one?
Answer Choices:
It would be steeper.
It would be shifted down.
It would be less steep.
It would be shifted left.
The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.
Thus, the correct option is: It would be less steep.
What is graph?In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.
The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.
The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.
However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.
Thus, the correct option is: It would be less steep.
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You are given that z > 2. Write an inequality for each expression.
a) 2z+ 9
b) 3(z - 4)
c) 4+2z
d) 5(3z-2)
a) The inequality for the expression 2z + 9 is 2z + 9 > 13.
b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The inequality for the expression 4 + 2z is 4 + 2z > 8.
d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.
a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:
2z > 2 * 2
2z > 4
Adding 9 to both sides:
2z + 9 > 4 + 9
2z + 9 > 13
Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.
b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:
3z - 3 * 4
3z - 12
Since we are given that z > 2, we can substitute z > 2 into the expression:
3z - 12 > 3 * 2 - 12
3z - 12 > 6 - 12
3z - 12 > -6
Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:
4 + 2z > 4 + 2 * 2
4 + 2z > 4 + 4
4 + 2z > 8
Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.
d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):
5 * 3z - 5 * 2
15z - 10
Considering the given inequality z > 2, we can substitute z > 2 into the expression:
15z - 10 > 15 * 2 - 10
15z - 10 > 30 - 10
15z - 10 > 20
Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.
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You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?
The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
What is invested amount?An investment is a payment made to acquire the securities of other firms with the intention of making a profit.
We are assuming the interest will be compounded annually
\(\rm A = P(1+\dfrac{r}{n})^{nt}\)
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
P = $7000
r = 3% = 0.03
t = 10 years
n = 1
\(\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}\)
After calculating:
A = $9407.41
I = A - P = 9407.41 - 7000 = $2,407.41
Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
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x÷2/3=3/4 solve for X
Answer:
x= 0•5
Step-by-step explanation:
x÷2/3=3/4
3/2x=3/4
x= 3/4 ÷2/3
x = 0•5Yesterday, 15 guests at a hotel called for room service, and 105 guests did not call for room service. What percentage of the guests at this hotel called for room service yesterday?
Drag and drop the relationships below to classify them as being a function or not a function?
A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.
Determine the domain of a piece wise function?Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.
Determine the range of a piece wise function?Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.
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Work out volume of this sphere leave your answer in terms of pi
Answer:
36pi
Step-by-step explanation:
Volume formula = 4/3 × pi × r^3
Achiote oil recipe graph (helppp rnnn)
Answer: Oil cup| Achiote seeds
8 | 16
2 | 4
How i find it:If pour 2 cups of oil on a 0.5 seeds then they just have to make a cross product to find for 8
8*0.5/2=2
and for the second it is enough to make a product of cross with the information that we have already in the table
8*4/2=16
write a recursive formula for the sequence 15,26,48,92,180, ... find the next term
Question #8
Answer:
The nth term is Tn = 2[T(n- 1) -2]
The next term is 356
Step-by-step explanation:
Given
Terms: 15,26,48,92,180
Solving (a) : The recursive n term
We have:
T1 = 15
T2 = 26 = 13 * 2 = (15 - 2) * 2
T3 = 48 = 24 * 2 = (26 - 2) * 2
T4 = 92 = 46 * 2 = (48 - 2) * 2
T5 = 180 = 90 * 2 = (92 - 2) * 2
So, the nth term can be represented as:
Tn = [T(n-1) - 2] * 2
Tn = 2[T(n-1) - 2]
The next term is the 6th term.
So, substitute 6 for n in the above formula.
T6 = 2 * [T(6 - 1) - 2]
T6 = 2 * [T5 - 2]
Substitute 180 for T5
T6 = 2 * (180 - 2)
T6 = 2 * 178
T6 = 356
Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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The equation y= 10x represents a proportional relationship what is the constant of proportionality
Answer:
constant of proportionality = 10
Step-by-step explanation:
Direct proportion equation :
y = kx, where k is the constant of proportionality
Please help me please
Answer:
486 square inches
Step-by-step explanation:
Zoey surveyed 580 of the students in her school about their favorite color. 35% said their favorite color was purple. How many students' favorite color was purple?
Answer:
203 students surveryed purple as their favorite color
Step-by-step explanation:
Let's set this up like a fraction
Percentages are always out of 100 so the denoninator will be 100
Since the number of students who's favorite color is equal to 35%, we will equal both fractions together
Variable x = number of students for purple
x/580 = 35/100
Cross multiply
x × 100 = 580 × 35
100x = 20,300
Isolate the variable by dividing both sides by 100
x = 203
203 students surveryed purple as their favorite color
Divide $70 in these ratios 8:5:1
Give the digits in the tens place and the tenths place.
97.42
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
Find x where 2/3 of x added to 9 gives 30
SAT scores are normally distributed, with a mean of 500 points and a
standard deviation of 100 points. Suppose you take the SAT. Several weeks
later, you receive your results, which show that you reached the 90th
percentile for the math portion.
Recalling that SAT scores are always expressed as multiples of 10, how many
points did you get on the test?
A.600
B.630
C.130
D.590
E.690
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.
The solution as follows;
Let be X: scores of SAT
P(X ≥ x) = 0.9
P((X - 500)/100 ≥ (x - 500)/100) = 0.9
P(Z ≥ z) = 0.9
z = 1.28
1.28 = (x - 500)/100
128 + 500 = x
x = 628
Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.
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select the correct word form for 444,404
Answer:
FOUR HUNDRED FORTY-FOUR THOUSAND FOUR HUNDRED FOUR
Step-by-step explanation:
Answer:
The correct word form is:
Four hundred and forty-four my four hundred and four
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r=p/4(c+k) for k, please help, thank you!
Answer:
\(k=\frac{-cp+4r}{p}\)
Step-by-step explanation:
\(r=p/4(c+k)\)
\(\frac{r}{p/4} =c+k\)
\(\frac{r}{p/4} -c=k\)
\(-cp+4r=kp\)
\(\frac{-cp+4r}{p} =k\)
How did they get the vertex i need assistance
Step-by-step explanation:
The general formula of a quadratic equation is
\(a {x}^{2} + bx + c\)
while the general formula for finding the vertex is
\(a({x - h})^{2} + k\)
first of all, you have to set the value of
\(x = \frac{ - b}{2a} \)
From the given equation, a = 2; b = -12 and c = 13. therefore, x = -(-12)/2(2) = 12/4 = 3
The 3 gotten is the answer for the value of h. To get k, substitute the value of h into the quadratic equation.
k = 2(3)^2 - 12(3) + 13 = -5
Therefore, the Vertex is V(h,k) = V(3,-5)
Ethan ran 3/4 miles. Megan ran 7/8 miles. How much further did Megan run? Answer in simplest form.
Answer:
2/16 or 0.625
Step-by-step explanation:
Find a common denominator for the two fractions. It will be 16. 3/4=12/16
7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875
.875-.25=.0.625
\(\large\boxed{\frac{1}{8}\ \text{miles}}\)
We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.
Multiply both the numerator and the denominator in \(\frac{3}{4}\) by \(2\) to get \(\frac{6}{8}\), which is equivalent. Now, both numbers have a denominator of \(8\) and can be subtracted.
Now, simply subtract the numerators, leaving the denominator alone.
\(\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}\)
helpppppppppppppppppp
Answer:
step 10 5 to the 10th power
Solve 2(2x – 3)2 = 32.
Please help me with this question
Answer:
y = -1/2 x - 1
Step-by-step explanation:
A (-2,0)
B (0,-1)
slope = (-1-0)/(0-(-2)
-1/2
y intercept = -1
y = -1/2 x - 1
Answer:
y = e^(-1/2x -1)
Step-by-step explanation:
You want the equation for y(x), which is graphed as a straight line on a semi-log scale.
GraphLet z = ln(x). The graph shows a straight line with a z-intercept of -1 and a slope of "rise"/"run" = -1/2. That means the slope-intercept equation for this line can be written as ...
z = -1/2x -1
EquationUsing z = ln(y), we can find the equation for y by taking antilogs:
ln(y) = -1/2x -1
y = e^(-1/2x -1)
__
Additional comment
The attached graph shows y = f(x) and the line ln(y).
Write 5y to the 3rd power without exponents
Answer:
5y*5y*5y
Step-by-step explanation:
uhh no explanation cuz logic
The 3rd power of the term 5y without exponents is 125.y.y.y
What is power of any number?If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times
The given term is 5y,
To find the third power of 5y,
The cube of 5y = (5y)³
To write the 3rd power without exponents,
Simplify the term (5y)³.
(5y)³ = 5y x 5y x 5y
= 125 y.y.y
The required 3rd power of 5y without exponents is 125.y.y.y.
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In the figures below the cube shaped box is 6 in wide and the rectangular box is 10 inches Long 4 inches wide and 4 inches high how much greater is the volume of the cube shaped box than the rectangular box a 50 cubic inches B 60 cubic inches C 56 cubic inches d66
The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.
Define volume.Volume and capacity are two crucial ideas that are both fundamental and among those fundamental ideas that need to be thoroughly grasped. These ideas are a few that every youngster needs to comprehend from an early age. Different items will be displayed, especially when it comes to geometry in math, for which the volume and capacity must be computed. With a few practize problems, this will also enable the pupils to successfully solve bigger and more difficult problems. We come across a great deal of three-dimensional objects in our daily lives that take up a certain amount of space. The total amount of space that a material occupies is referred to as its volume.
Given
In the figures below the cube shaped box is 6 in wide and the rectangular box is 10 inches Long 4 inches wide and 4 inches high
Volume of cube box
= 6³
= 216
Volume of rectangular box
= 10 ×4×4
= 160
Difference
= 216 - 160
= 56
The volume of the cube-shaped box is 56 cubic inches larger than the volume of the rectangular box.
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Which definition best describes a linear pair?
A. A pair of angles that combine to form a straight angle
B. A pair of angles whose sum is 360°
O C. A pair of opposite angles formed by intersecting lines
D. A pair of angles whose sum is 90°
SUBMIT
Answer:
A or C
Step-by-step explanation:
well, two angles are a linear pair if the angles are adjacent and the two unshared rays form a line. The linear pair postulate states that two angles that form a linear pair are supplementary
Hope this helps
Linear pair example below:
Find the y-intercept of the line through the points P(6, -6) and Q(8,-1)
Answer:
(-21,0)
Step-by-step explanation: