Based on the annuity payment that Marie will make and the number of years, the nt value that she will use in her formula is 360 months.
How to find the nt value?The nt value is the number of periods that Marie will need to pay her annuity payment. This value can be yearly, monthly, weekly and even daily.
As the mortgage compounds monthly in this instance, the nt value will need to be monthly as well.
To find the nt value, the formula is:
= Number of years x number of compounding periods per year
= 30 x 12 times a year
= 360 months
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Answer:
360
Step-by-step explanation:
i did that and i got it right
Admissions to Carowinds cost $45 per person. Each person spent $10 for a meal. There is a parking fee of $12 for an entire family. How many people went on the trip ito Carolwinds if the total amount spent was $287?
Step-by-step explanation:
5 people went on the Carowinds trip.
please help!!!! Worth 80 points!
All the identifiers that are included when identifying significant digits are-
All non zero digits are significantZeros between two other significant digits are significantZeros to the left of the first nonzero digits in a decimal are not significantZeros at the end of a number to the right of a decimal point are significantZeros at the end of a number without a decimal point are assumed to be not significant.What is defined as the significant digits?Each of the digits of a number starting with the digit farthest to a left that is not zero as well as ending with the digit farthest to a right that is neither zero or is a zero but is considered exact.
For the given options.
Except option 1 every option is correct.
All non zero digits are significantZeros between two other significant digits are significantZeros to the left of the first nonzero digits in a decimal are not significantZeros at the end of a number to the right of a decimal point are significantZeros at the end of a number without a decimal point are assumed to be not significant.To know more about significant digits, here
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(a)At Cheng's Bike Rentals, it costs $42 to rent a bike for 9 hours.How many dollars does it cost per hour of bike use? dollar per hour (b)A color printer prints 14b pages in 6 minutes.How many minutes does it take per page? minute per page
Answer:
a. 4.67 dollars per hour
b. 0.43 minutes per page
Explanation:
Part a.
To know the cost per hour of bike use, we need to divide the total cost by the number of hours, so:
[tex]\frac{Cost}{Hours}=\frac{\text{ \$42}}{9\text{ hours}}=\text{ \$4.67 per hour}[/tex]So, the cost is 4.67 dollars per hour
Part b.
In the same way, the number of minutes per page can be calculated as the division of the number of minutes by the number of pages, so:
[tex]\frac{\text{ Minutes}}{Pages}=\frac{6\text{ minutes}}{14\text{ pages}}=0.43\text{ minutes per page}[/tex]So, it takes 0.43 minutes per page.
graph g(x). please and thank you!
Answer: The graph is below
======================================================
Explanation:
If x = 0, then,
g(x) = -x+1
g(0) = -0+1
g(0) = 0+1
g(0) = 1
Therefore, x = 0 leads to y = 1. The point (0,1) is on the g(x) line.
Now try x = 1
g(x) = -x+1
g(1) = -1+1
g(1) = 0
The point (1,0) is also on the g(x) line.
Draw a line through the points (0,1) and (1,0)
Then erase the portion that is to the left of x = -4
This is because g(x) is only graphed when x > -4; i.e. we're only graphing stuff to the right of x = -4.
We'll have an open hole when x = -4 since we aren't including it as part of the graph.
See below.
How many different committees can be formed from 11 teachers and 36 students if the committee consists of 2 teachers and 2 students?
The number of different committees that can be formed is 34,650.
How many different committees can be formed?First, we know that there are 11 teachers and the committee needs to have two teachers, so let's find the number of combinations here.
Remember that if we have a set of N elements and we need to select K of these, the number of different selections is given by:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case we would have N = 11 and K = 2, so we get:
[tex]C(11, 2) = \frac{11!}{(11 - 2)!*2!} = \frac{11*10}{2} = 11*5 = 55[/tex]
There are 55 combinations.
For the students we do the same thing, here we have 36 students and we need to select two, so:
[tex]C(36, 2) = \frac{36!}{(36 - 2)!*2!} = \frac{36*35}{2} = 630[/tex]
So we have 55 combinations for the teachers and 630 for the students, then the total number of different committees is:
C = 630*55 = 34,650
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PLEASE HELP!!! PLEASE HURRY!!!
Answer:
C.
Step-by-step explanation:
as M is right over the middle of LN, this is an isoceles triangle (both legs are equally long).
so, we need to calculate only one leg and then double it fit both legs.
we get e.g. LM via Pythagoras.
LM is the Hypotenuse of the right-angled triangle with half of LN and the height to M being the legs.
so,
LM² = height² + (LN/2)² = 3² + 6² = 9 + 36 = 45
LM = sqrt(45) = 6.708203932... units
the perimeter is the sum of all 3 sides :
LN + LM + MN = LN + 2×LM = 12 + 2×sqrt(45) =
= 25.41640786... units
amy eans £10 per hour. she gets a raise, and her new hourly rate is £11.5. what is the percentage change in her hourly rate?
Answer:
The percentage change is 15%
Step-by-step explanation:
Can I have brainliest?
find the probability not rolling factors of 3 on a die
Answer:
1/6 chance
Step-by-step explanation:
The temperature has been dropping 2 degrees Celsius per hour since midnight. If the temperature is 13 degrees at midnight, what is the temperature at 3:00AM?
If the temperature is 13 degrees at midnight, then the temperature will be 6 degrees at 3:00 AM.
Temperature at midnight = 13 °
Temperature drop per hour = 2 °
We need to find the temperature at 3:00 AM
Number of hours till then = 3 hours.
Temperature drop will be calculated by using multiplication.
Temperature drop = 2 × 3 = 6°
Temperature ate 3:00 AM = 12 - 6 = 6°
Therefore, we get that, if the temperature is 13 degrees at midnight, then the temperature will be 6 degrees at 3:00 AM.
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is 3 13/28 bigger than 3 17/20
Answer: 3 17/20 is bigger than 3 13/28
Step-by-step explanation:
2 ways:
1) Turn the fractions into decimal form.
13/28 = 0.464
0.464 + 3 = 3.464
17/20 = 0.85
0.85 + 3 = 3.85
2) Check which one is bigger
3.85 is bigger than 3.464 because the tenth place is bigger than the second number.
Second way:
1) Remove the 3s.
Both equations have three, so you could remove both sides three
3 13/28 ? 3 17/20
13/28 ? 17/20
2) Multiply both bottom expressions by itself.
(The numbers that its multiplying equals to 1. When multiplying a number by 1, it stays the same.)
13/28 * 20/20 = 260/560
17/20 * 28/28 = 476/560
3) Compare the fractions
260/560 ? 476/560
260/560 < 476/560
The number in the fraction is bigger
Answer:
No, 3 ¹³/₂₈ is smaller than 3 ¹⁷/₂₀.
Step-by-step explanation:
Convert both mixed numbers into improper fractions:
[tex]\implies 3 \frac{13}{28}=\dfrac{3 \times 28+13}{28}=\dfrac{97}{28}[/tex]
[tex]\implies 3 \frac{17}{20}=\dfrac{3 \times 20+17}{20}=\dfrac{77}{20}[/tex]
The lowest common multiple of 28 and 20 is 140.
Therefore, multiply the numerator and denominator of each improper fraction by the same number to make both denominators 140:
[tex]\implies \dfrac{97 \times 5}{28 \times 5}=\dfrac{485}{140}[/tex]
[tex]\implies \dfrac{77 \times 7}{20 \times 7}=\dfrac{539}{140}[/tex]
Therefore, as 539 > 485:
[tex]\implies \dfrac{539}{140} > \dfrac{485}{140}[/tex]
[tex]\implies \dfrac{77}{20} > \dfrac{97}{28}[/tex]
[tex]\implies 3 \frac{17}{20} > 3 \frac{13}{28}[/tex]
Therefore, 3 ¹³/₂₈ is smaller than 3 ¹⁷/₂₀.
Complete the table and find the value of each vehicle at the end of the indicated year.Car ACar BCar Value at the Endof the Indicated Year1st2nd3rd4th 5th
Let's look at car A first.
As already solved, just after it is purchased its value decreases 20%.
Purchased at $30000, its value inmediatly decreases to $24000 ($30000 -
0.2*$30000 = $24000).
We know the yearly depreciation for car A os $2000.
Then, at the end of the first year, its value will decrease from $24000 to $24000 - $2000 = $22000.
Every year its value decreases $2000. Followint the same logic, at the end of the second year its value will decrease from $22000 to $22000 - $2000 = $20000 and so on. Now, we can build the table:
End of first year: $24000 - $2000 = $22000
End of second year: $22000 - $2000 = $20000
End of third year: $20000 - $2000 = $18000
End of fourth year: $18000 - $2000 = $16000
End of fifth year: $16000 - $2000 = $14000
Pls help
Find the surface area of the cylinder.
In the picture there is a cylinder with height 5 inches and diameter 4 inches. The surface area of cylinder is 87.62.
Given that,
In the picture there is a cylinder with height 5 inches and diameter 4 inches.
The surface area of a cylinder is the area that is enclosed by the flat bases and the curving surface of the cylinder. The cylinder's total surface area includes the area of the curving surface as well as the areas of the two circle-shaped bases of the cylinder.
The surface area of cylinder is 2πr²+2πrh
r is radius which is diameter/2
r=4/2=2
h is 5
Surface area of cylinder= 2πr²+2πrh
=2π×2²+2π×2×5
=8π+20π
=28π
=28×3.14
=87.92
Therefore, the surface area of cylinder is 87.62.
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Part 1Simplifyeach fraction. Some fractions can be simplified more than once A 110/390
Given the fraction below
[tex]\frac{110}{390}[/tex]To simplify the above fraction, we will divide both the numerato
Which mapping diagram is not a function?
Mapping diagram (D) is not a function.
What is a function?A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. Four broad categories can be used to classify different types of functions. Dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.So, an option which is not a function:
According to the given image, we can easily point out that option (D) is not a function.As the f(x) has two mirror images g(x) which is not possible, and hence option (D) is not a function.Therefore, mapping diagram (D) is not a function.
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Simplify (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² - 5x + 3y).
The simplified form for (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² -5x + 3y) is (5x² + 0y² - 10x + 4y - 2xy).
At least one squared term must be present because a quadratic is a second-degree polynomial equation. It is also known as quadratic equations. The answers to the issue are the values of the x that satisfy the quadratic equation. These solutions are called the roots or zeros of the quadratic equations. The solutions to the given equation are any polynomial's roots. A polynomial equation with a maximum degree of two is known as a quadratic equation, or simply quadratics.
How is an equation made simpler?The equation can be made simpler by adding up all of the coefficients for the specified correspondent term through constructive addition or subtraction of terms, as suggested in the question.
Given, the equation is (3x² + 2y² - 5x + y) + (2x² - 2xy - 2y² -5x + 3y)
Removing brackets and the adding we get,
3x² + 2x² + 2y² - 2y² + (- 5x) + (- 5x) + y + 3y + (- 2xy) = (5x² + 0y² - 10x + 4y - 2xy)
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A designer builds a model of a bicycle. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:7. (a) Find the ratio of the height of the model to the height of the original. (b) Find the ratio of the surface area of the model to the surface area of the original. (c) Find the ratio of the volume of the model to the volume of the original. Write these ratios in the format m:n.
Given
Scale Factor of 2:7
When the scale factor is a:b
Recall the following
[tex]\begin{gathered} \text{The ratio of the sides is} \\ a:b \\ \; \\ \text{The ratio of the area is} \\ a^2:b^2 \\ \; \\ \text{The ratio of the volume is} \\ a^3:b^3 \end{gathered}[/tex]Given that the ratio is is 2:7 then we have the following
[tex]\begin{gathered} \text{The ratio of the height of the model to the height of the original is} \\ 2:7 \\ \; \\ \text{The ratio of the surface area of the model to the surface area of the original is} \\ 2^2:7^2\Longrightarrow4:49 \\ \; \\ \text{The ratio of the volume of the model to the volume of the original is} \\ 2^3:7^3\Longrightarrow8:343 \end{gathered}[/tex][tex]undefined[/tex]
What is the range of this quadratic function
The range of the equation of the function given as y = x^2 + 4x + 7 is y >= 3
How to determine the range?The equation of the function is given as
y = x^2 + 4x + 7
Differentiate the function with respect to x
So, we have
y' = 2x + 4
Set the differentiated function to 0
So, we have
2x + 4 = 0
This gives
2x = -4
Divide by 2
x = -2
Substitute x = -2 in the equation y = x^2 + 4x + 7
So, we have
y = (-2)^2 - 4 x 2 + 7
Evaluate
y = 3
The leading coefficient is positive
This means that the vertex is a minimum
So, we have the range to be
y >= 3
Hence, the range is y >= 3
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Find the equation of a line that contains the points (-2, 2) and (-6,-5). Write the equation in slope-intercept form, usingfractions when required
Explanation
Lets first find the slope:
[tex]m=\frac{2-(-5)}{-2-(-6)}=\frac{2+5}{-2+6}=\frac{7}{4}[/tex]Now let's use the point-slope formula:
[tex]\begin{gathered} y-2=\frac{7}{4}(x-(-2)) \\ y-2=\frac{7}{4}(x+2) \\ y-2=\frac{7}{4}x+\frac{7}{2} \\ y=\frac{7}{4}x+\frac{7}{2}+2 \\ y=\frac{7}{4}x+\frac{7}{2}+\frac{4}{2} \\ y=\frac{7}{4}x+\frac{11}{2} \end{gathered}[/tex]Answer
[tex]y=\frac{7}{4}x+\frac{11}{2}[/tex]Mr. Michael’s class sold fruit cups for $1.55 each and Mr. Lee’s class sold bottles of sports drink for $1.09 each. Together, the classes sold 97 items and earned $120.45 for their school.
Question 1
Let x represent the number of fruit cups sold and let y represent the number of bottles of sports drinks sold.
Write and solve a system of equations that models the problem.
Enter your answers in the boxes to correctly complete each equation.
Question 1
Let x represent the number of fruit cups sold and let y represent the number of bottles of sports drinks sold.
Write and solve a system of equations that models the problem.
Enter your answers in the boxes to correctly complete each equation.
= 120.45
= 97
Question 2
How much money did Mr. Michael's class earn?
Enter your answer in the box.
$
Question 3
How much money did Mr. Lee's class earn?
Enter your answer in the box.
$
Answer:
Question 1:
x + y = 97
$1.55x + $1.09y = $120.45
Question 2:
32
Question 3:
65
Step-by-step explanation:
phew, way to long to explain why. A brainliest would be nice :)
x^2=49 which numbers are solutions to the equation
So we need to solve the following equation for x:
[tex]x^2=49[/tex]We can apply a square root to both sides but it is important to remember the following property. For any given number a we have:
[tex]\sqrt[]{a^2}=\lvert a\rvert[/tex]Which means that:
[tex]\sqrt[]{a^2}=a\text{ and }\sqrt[]{a^2}=-a[/tex]So for our case we have:
[tex]\begin{gathered} \sqrt[]{x^2}=\sqrt{49} \\ \lvert x\rvert=7 \\ x=7\text{ and }x=-7 \end{gathered}[/tex]Then the solutions are 7 and -7.
2 5/8 divided by 2 1/4
Answer:
Step-by-step explanation:
[tex]2\frac{5}{8} =\frac{2 \times 8+5}{8} =\frac{21}{8} \\2\frac{1}{4} =\frac{2 \times 4+1}{4} =\frac{9}{4} \\2\frac{5}{8} / 2\frac{1}{4} \\=\frac{21}{8} /\frac{9}{4} \\=\frac{21}{8} \times \frac{4}{9} \\=\frac{7}{6} \\=1\frac{1}{6}[/tex]
X+2y=8, -3x-2y=12 how do you solve the system of equations with cramers rule
Using Cramer's rule, the solution to the system of equations is given as follows:
x = -10, y = 9.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the problem.
There are multiple ways to solve a system of equations, and one of them is Cramer's Rule, in which we use the determinants of matrices to find the solutions.
In the context of this problem, the system is:
x + 2y = 8.-3x - 2y = 12.The matrix for the system is:
[tex]M = \left[\begin{array}{cc}1&2\\-3&-2\end{array}\right][/tex]
Hence it's determinant is:
|M| = 1(-2) - (-3)(2) = -2 + 6 = 4.
The matrix for x is given by:
[tex]M_x = \left[\begin{array}{cc}8&2\\12&-2\end{array}\right][/tex]
Hence it's determinant is:
|Mx| = 8(-2) - 2(12) = -16 - 24 = -40.
The matrix for y is given by:
[tex]M_y = \left[\begin{array}{cc}1&8\\-3&12\end{array}\right][/tex]
Hence it's determinant is:
|My| = 12 - (-3)(8) = 12 + 24 = 36.
Then the solutions are given as follows:
x = |Mx|/M = -40/4 = -10.y = |My|/M = 36/4 = 9.More can be learned about a system of equations at https://brainly.com/question/24342899
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solve thw variable 6/18=×/36
6/18=×/36
solve for x
x=(6/18)36
x=6(36/18)
x=6(2)
x=12
what is a possible value for the missing term of the geometric sequence? 43____2107
Answer:
150
Step-by-step explanation:
Ms. Lantz recently participated in the Rocket Run 5k. The distribution of finishing time for females is approximately normal with a mean of 57 minutes with a standard deviation of 8 minutes. According to the Houston Chronicle, a healthy female person should be able to run a 5K in less than 50 minutes.
Part C: Ms. Lantz’s finishing time was 0.85 standard deviations below the mean. What was her finishing time?
Answer:____ minutes
Ms. Lantz would need to finish in 50.28 minutes to be eligible for the Houston Marathon.
How to find her finishing time?The relationship between a score and the mean over a set of scores is simply quantified by a Z-Score, which is a measurable statistic.
A Z-score can explain to a trader why a value is unusual or average for a given set of data.
A Z-score below 1.8 suggests that a company is on the verge of bankruptcy, while a score closer to 3 shows that the company is doing well financially.
Solution:
The z-score is calculated using the formula:
z = (x - μ)/σ
μ = Sample's average
σ = Sample's standard deviation
The values are as follows:
μ equals 57 minutes.
σ = 8 minutes
Probability equals 20%, or 0.20.
Determine the z-score for 0.20 using the negative z-table.
Z score is -0.84.
To find x, enter the values into the z formula.
z = (x - μ)/σ
-0.84 = (x - 57)/8
Simplifying;
x = -6.72 + 57
x = 50.28 minutes
Thus, Ms. Lantz would need to complete the Rocket Run 5k in 50.28 minutes in order to be eligible for the Houston Marathon.
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The distance an object travels is determined by how fast it goes and for how long it moves. If an object's speed
remains constant, the formula is d=rt, where d is the distance, r is the speed, and t is the time.
If you drive at 50 miles per hour for 5 hours, how far will you have traveled?
a. 200 miles
b. 10 miles
c. 250 miles
d.300 miles
Answer:
c. 250 miles
Step-by-step explanation:
[tex]d=(50)(5)=250[/tex]
Elena is traveling to visit her grandparents who live 125 miles away.
a. Elena stops for lunch 2/3 of the way. How far has Elena traveled?
b. Elena enters the city where her grandmother lives after 110 miles. Is she more or less than 9/10 of the way there?
PLS PLS PLS HELPP
a . After stopping for lunch Elena has travelled 50 miles.
b . She is less than 9 / 10 to her grand mother's location after travelling for 110 miles.
How to find the number of miles she travelled?She is traveling to visit her grandparents who live 125 miles away.
a.
She stops for lunch 2/3 of the way.
The distance she has travelled after she stopped for lunch can be calculated as follows:
distance in miles = 2 / 5 × 125
distance in miles = 2 × 25
distance in miles = 50 miles
b.
She enters the city where her grandmother lives after 110 miles.
Hence,
9 / 10 × 125 = 1125 / 10 = 112.5 miles
Therefore, she is less than 9 / 10 of her way there.
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if graph of g(x)is the graph of the parent function f(x)=x translated 3 units upward,then the y-intercept of the function g(x) is __
Answer: (0,3)
Step-by-step explanation:
The y-intercept for f(x)=x would be (0,0). Therefore, if we translate it up by three to get g(x), then the y coordinate would go up by 3, resulting in (0,3).
Question 4 of 10 The function a(b) relates the area of a trapezoid with a given height of 12 and one base length of 9 with the length of its other base. It takes as input the other base value, and returns as output the area of the trapezoid. a(b)-12.b+9 Which equation below represents the inverse function b(a), which takes the trapezoid's area as input and returns as output the length of the other base?
The answer to the given function is [tex]B(a)= a/6-9[/tex].
What is a trapezoid?A trapezoid, also referred to as a trapezium, is an open, flat object with 4 straight sides and 1 set of parallel sides. A trapezium's bases are its parallel sides, while its legs are its non-parallel sides.
Given :
[tex]A(b)= 12( b+9)/2[/tex]
where, A(b) is the trapezoid's area
and b is the other base value
On solving the above equation further we get ;
[tex]A= 6(b+9)[/tex]
[tex]A/6= b+9[/tex]
this implies we get;
b= [tex]A/6-9[/tex]
Now convert this into function notation we get
[tex]B(a)= a/6-9[/tex]
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A rectangle garden is 9ft longer than wide. It’s area is 580ft2. What are it’d dimensions?
The dimensions of the rectangular garden are 20 feet and 29 feet respectively.
How to determine the dimensions of the rectangleIt is vital to note that the formula for the area of a rectangle is expressed as;
Area = lw
Where;
l is the length of a rectanglew is the measure of the width of a rectangleFrom the information given, we have that;
Area = 580ft²
Length = 9 + width
L = 9 + w
Substitute the values into the formula, we have;
580 = (9 +w)(w)
expand the bracket
580 = 9w + w²
Make into quadratic equation
w² + 9w - 580 = 0
Factorize the equation
w² + 29w - 20w - 580 = 0
Factor the common terms
w( w + 29) - 20(w + 29) = 0
Then,
w + 29 = 0
w = -29
and w - 20 = 20 feet
We have the expression of length as l = 9 + w
Length, l = 9 + 20
Length, l = 29 feet
Thus, the values are 20 feet and 29 feet
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