p+20°
What is the value of p?
p=
3p
O
бр
Appreciate it a lot
Answer:
16°
Step-by-step explanation:
10p+20=180
10p=120
p=16
GIVING 100 POINTS PLEASE HELP I NEED IT DUE OR ELSE SHOW WORK AND ANSWER
Answer:1
Step-by-step explanation:
To help pay for culinary school, Keiko borrowed money from her credit union.
She took out a personal, amortized loan for $50,000, at an interest rate of 5.5%, with monthly payments for a term of 10 years.
For each part, do not round any intermediate computations and round your final answers to the nearest cent.
If necessary, refer to the list of financial formulas.
(a) Find Keiko's monthly payment.
$0
(b) If Keiko pays the monthly payment each month for the full term,
find her total amount to repay the loan.
$0
(c) If Keiko pays the monthly payment each month for the full term,
find the total amount of interest she will pay.
$0
X
If to help pay for culinary school, Keiko borrowed money from her credit union:
a. Keiko's monthly payment is $542.63.
b. The total amount to repay the loan is $65,115.60
c. The total amount of interest she will pay is $15,115.60
What is the monthly payment?(a) To find Keiko's monthly payment, we can use the formula for calculating the monthly payment for an amortized loan:
P = (r * A) / (1 - (1 + r)^(-n))
Where:
P =Monthly payment
A= loan amount
r = Monthly interest rate
n = Total number of payment
Plugging in the values for Keiko's loan, we get:
P = $50,000
r = 0.055 / 12 = 0.00458
n = 10 * 12 = 120
P = (0.055/12 * $50,000) / (1 - (1 + 0.055/12)^(-120)) = $542.63
(b) If Keiko pays the monthly payment each month for the full term, the total amount she will repay the loan will be:
Total amount = Monthly payment * Total number of payments
= $542.63* 120 = $65,115.60
(c) If Keiko pays the monthly payment each month for the full term, the total amount of interest she will pay will be:
Total interest = Total amount - Loan amount
=$65,115.60 - $50,000 = $15,115.60
So, Keiko will pay a total of $15,115.60 in interest over the 10-year term of the loan.
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9. Zola solved a question on her math test that. asked her to find the volume of the sphere shown
below in terms of T. Explain Zola's error and solve for the correct answer.
d=11 in
v-(-X5.5¹)
V=((16.5)
V = 22π in³
if d=11 in then the volume of the sphere=697.19
[tex]V=\frac{4}{3} \pi d[/tex]
[tex]V=\frac{4}{3} *\frac{22}{7} *5.5^{3} =697.19[/tex]
The amount of room a spherical occupies inside is its volume. Because every point on the sphere's surface is equally spaced from its center, the sphere can be considered a three-dimensional round solid object. The fixed point and fixed distance, respectively, represent the sphere's center and radius. V = 4/3 r3, where r is the radius and V is the volume, is the formula for a sphere's volume. The radius of a sphere is equal to half its diameter. A circle and a sphere are both round, if you compare them. As the sphere is a three-dimensional object rather than a two-dimensional circle, we can estimate its volume and surface area.
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100 POINTS PLEASE HELP
Consider the surface
Find the following partial derivatives
The value of dz/ dt using Chain Rule is (2t³ -10t² -4t + 5) [tex]e^ {1- t^2[/tex].
What is Chain Rule?The chain rule states that the derivative D of a composite function is given by a product, as D(f(g(x))) = Df(g(x)) ∙ Dg(x).
In other words, the first factor on the right, Df(g(x)), indicates that the derivative of f(x) is first found as usual, and then x, wherever it occurs, is replaced by the function g(x).
Given:
By chain rule we can write z= f(x, y) = f( x(t), y(t))
dz/ dt = df/ dx . dx/ dt + df/ dy. dy/dt
So, df/ dx = [tex]e^y[/tex]
df/dy = [tex]e^y[/tex] + (x+ y) [tex]e^y[/tex]
x(t)=5t, while y(t)=1-t², So,
So, dx/dt = 5
and, dy/dt = -2t
Now, dz/ dt = 5 . [tex]e^y[/tex] + -2t ( [tex]e^y[/tex] + (x+ y) [tex]e^y[/tex])
= (2t³ -10t² -4t + 5) [tex]e^ {1- t^2[/tex]
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Please anyone help me with this ?!!! Thank you:))!!
The solution is, he had 68 marvels.
What is addition?
Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
he added 36 marvels, now, he has 104 in total,
we have to find that, how many he had.
let, he had = x
so, we know, added = 36
i.e. now total is = x+36
ATQ, we get,
x+36 = 104
or, x = 104 - 36
or, x = 68
Hence, The solution is, he had 68 marvels.
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A recipe for a lemonade punch calls for 6 cups of lemonade for every 24 cups a punch circle the name of the student who wrote an equation that can be used to find X the percentage of lemonade in the recipe
Answer:
Elizabeth
Step-by-step explanation:
Her answer shows the ratio of 6:24- lemonade to punch.
Please help (brainless). A coffee cup holds 0.385 Liters. How many milliliters will 6 cups of coffee hold.
Answer:
Below
Step-by-step explanation:
.385 liters = 385 milliliters
SIX of these would be 385 ml * 6 = 2310 ml
Part B
Interest can be calculated on money invested and money borrowed. Based on her four options, in which account should
Brianna choose to invest her summer earnings?
Use your answers from Part A to justify your response. Explain your reasoning using complete sentences.
Based on the four options, Brianna should choose to invest her summer earnings in the Account 4 (compounded continuously) because interest is at highest in the account after like 3 years.
Why is interest higher when compounded continuously is used?Interest is higher in compounded continuously because it is calculated more frequently than in other compounding methods, such as annually or semi-annually. In continuous compounding, interest is calculated and added to the principal an infinite number of times over a given period, which results in a higher effective interest rate than other compounding methods.
This means that the amount of interest earned on an investment or loan increases more rapidly, which can result in greater returns for investors or higher costs for borrowers. Continuous compounding is often used in financial markets where small changes in interest rates can have significant impacts on returns, such as in the case of short-term bonds or options trading.
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On a recent fishing trip , Marty hooked a fish 12 feet directly under his boat . At the same time, he saw and eagle flying 50 feet above the boat. Which number sentence accurately compares these distances above and below the boat ?
Answer:
-12 +50
Step-by-step explanation:
Helping in the name of Jesus.
Can someone please help me with this math problem?
Determine if the relation is a function. If it is not, What are the two ordered pairs as proof?
Using the vertical line test we can see that this is not a function.
Is the relation a function?When we have a graph of a relation, one thing we can do to check if this is a function is do the vertical line test.
If you can draw a vertical line that intercepts the graph more than once, then it is not a function.
Here we can see a circle, multiple lines intercept the graph twice,so this is not a function.
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Answer:
attempt 1 out of 2 / problem 5 out of max 16
Jordan Chambers
Slopes of Parallel/Perpendicular Lines
Mar 03, 8:56:20 AM
Watch help video
Find the slope of a line parallel to the line whose equation is
5
�
−
3
�
=
18
5x−3y=18. Fully simplify your answer.
Answer:
d = |c1-c2|/√(a2 + b2).
Step-by-step explanation:
he diameter of a circle is 18 feet. What is the circle's area?
Answer:
Step-by-step explanation:
[tex]A=\pi r^2\\[/tex]
[tex]=\pi \times 9^2[/tex] (radius = 9 feet)
[tex]=81\pi[/tex]
[tex]\approx 254.47[/tex] feet
Question In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1)? Enter your answer in the box. Round to the nearest hundredth. units?
The length of the line segment that connects points at (5, 4) and (−3, −1) is found to be 9.43 units.
Explain about the distance formula?The distance formula is still a formula used to determine how far apart two places are from one another. The dimensions of these points are unlimited. For instance, you could need to determine the separation between two points in space, a plane, or a line (1, 2, or 3 dimensions) .Using the formula obtained from Pythagoras' theorem, distance can be computed.
The distance formula in coordinate geometry is:
(P, Q) = √ (x2 – x1)² + (y2 – y1)².
Given points: (5, 4) and (−3, −1)
d = √ (-3 - 5)² + (4 + 1)²
d = √ 64 + 25
d = √ 89
d = 9.43
Thus, the length of the line segment that connects points at (5, 4) and (−3, −1) is found to be 9.43 units.
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find the axis of symmetry for f(x)=x^{2}+12x+31
so since the squared variable is the "x", we're looking at a vertical parabola, and its axis of symmetry will be at the x-coordinate for its vertex, let's find its vertex then
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+31} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 12}{2(1)}~~~~ ,~~~~ 31-\cfrac{ (12)^2}{4(1)}\right) \implies \left( - \cfrac{ 12 }{ 2 }~~,~~31 - \cfrac{ 144 }{ 4 } \right) \\\\\\ \left( -6 ~~~~ ,~~~~ 31 -36 \right)\implies (\stackrel{ x }{-6}~~,~-5)\hspace{5em}\stackrel{ \textit{axis of symmetry} }{x=-6}[/tex]
Triangle RST is similar to triangle UVW. Find the measure of side UV. Figures are not drawn to scale
The triangle has 3 interior angles and 3 sides, the sum of interior angles is always equal to 180 degree. The measure of the side UV of a triangle is 4.2
Types of triangleon considering the length of the sides, the triangle is classified into different types
Acute triangle :All three angles of an acute triangle measure less than 90".Obtuse Triangle :One angle of an obtuse triangle measures more than 90%Right Triangle: One angle of a right triangle measures 90°Isosceles Triangle: two sides of an isosceles triangle have the same lengthEquilateral Triangle: All three sides of an equilateral triangle have the same lengthScalene Triangle: No sides of a scalene triangle are the same length.the sum of the interior angles of a triangle is always equal to 180°
given TR=2,WU=6,RS=1.4,UV=?
let UV be x,
x/1.4=6/2
cross multiply
2x=6*1.4
2x=8.4
x=8.4/2
x=4.2
hence UV=4.2
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Refer to the parallelogram at the right for Exercises 13 and 14
Justify your answers.
13. Suppose the base and height are each
multiplied by . What effect would this
have on the area? (3pts.)
10 ft
14 ft
12 ft
14. Suppose the side lengths are multiplied by 2. Describe the change in the
perimeter. (3pts.)
The area of the resulting figure is 4 times smaller than the area of the original figure.
And, When the side lengths are multiplied by 2, the perimeter is 2 times the original perimeter.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. And, Opposite sides of the rectangle are equal and parallel to each other.
We know that;
When two figures are similar, then ratio of its areas is also equal to the scale factor squared.
Hence, We can assume that the figure is a rectangle or a triangle;
Let
z = the scale factor
x = Area of the resulting figure
y = Area of the original figure
So, We get;
z² = x/y
Since, we have;
z = 1/2
Hence, We can substitute;
⇒ (1/2)² = x/y
⇒ x/y = 1/4
⇒ x = y/4
Therefore, The area of the resulting figure is 4 times smaller than the area of the original figure.
And, If the side lengths are multiplied by 2.
We get;
Perimeter = 2 (L + W)
= 2 (2L + 2W)
= 2 (2L + 2W)
Thus, When the side lengths are multiplied by 2, the perimeter is 2 times the original perimeter.
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the sum is -7 and the difference is 14
Answer:
please give more information like what to find
3.5, -10.5
Step-by-step explanation:
There is something that looks like a backwards y. If the "backwards y" (∠2)=98°, find the following angle measures.
Angles 1 = 2 = 3 = 98° and 4 = 82° are measured.
What angles are appropriate?The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The image serves as a right angle indicator. The angle formed when two chords cross paths inside of a circle is equal to half the sum of the chords' intercepted arcs. Hence, m1 = 50° and m2 = 130°.
The other angle measurements can be calculated using the diagram as follows:
∠1: ∠1 is a vertical angle to ∠2, so it is also 98°.
∠3: ∠3 is a corresponding angle to ∠2, so it is also 98°.
∠4: ∠4 and ∠2 form a straight angle, which means they add up to 180°. Therefore, ∠4 = 180° - ∠2 = 180° - 98° = 82°.
So, the angle measures are:
∠1 = ∠2 = ∠3 = 98°
∠4 = 82°
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Write the ratio as a fraction in lowest terms. Compare in inches. 3 feet to 55 inches
The ratio as fraction is 36/ 55.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
We have to find the ratio for 3 feet to 55 inches.
So, 3 feet to 55 inches
= 3 feet/ 55 inches
= 3 feet : 55 inches
= 3 x 12 inches : 55 inches
= 36 inches : 55 inches
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In a classroom 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts.
Answer:
Step-by-step explanation:
Blue shirts: [tex]\frac{1}{6}[/tex]×[tex]12=2[/tex]
White shirts: [tex]\frac{2}{3}[/tex]×[tex]12=8[/tex]
∴ there are 2 students(12-2-8=2) wearing a different shirt.
Please help me answer this
Answer:
x = 229
Step-by-step explanation:
x = 467 - 238
x = 229
The room has a width of 8 feet, a length of 12 feet, and a height of 9 feet. What is the greatest possible distance between two points on the walls in the room?
Answer:
The greatest possible distance between two points on the walls in the room is 17 feet.
Step-by-step explanation:
The room can be modelled as a rectangular prism with the following dimensions:
width = 8 ftlength = 12 ftheight = 9 ftThe greatest possible distance between two points on the walls in the room is the line between diagonally opposite corners. This is marked as the blue line (x) on the attached 3D diagram.
This distance is the hypotenuse of a right triangle with a base of the diagonal of the floor and a height of the height of the room.
The diagonal of the floor (marked "y" on the attached diagram) is the hypotenuse of a right triangle with legs of the width and length of the room. To calculate the diagonal of the floor, use Pythagoras Theorem.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
Substitute a = 8, b = 12 and c = y into the formula and solve for y:
[tex]\implies 8^2+12^2=y^2[/tex]
[tex]\implies 64+144=y^2[/tex]
[tex]\implies y^2=208[/tex]
[tex]\implies y=\sqrt{208}\; \sf ft[/tex]
Therefore, the diagonal of the floor (y) is √(208) feet in length.
We can now use Pythagoras Theorem again to find the length x.
Substitute a = y, b = 9 and c = x into the formula:
[tex]\implies y^2+9^2=x^2[/tex]
Substitute the found value of y and solve for x:
[tex]\implies (\sqrt{208})^2+9^2=x^2[/tex]
[tex]\implies 208+81=x^2[/tex]
[tex]\implies 289=x^2[/tex]
[tex]\implies x=\sqrt{289}[/tex]
[tex]\implies x=17 \sf \; ft[/tex]
Therefore, the greatest possible distance between two points on the walls in the room is 17 feet.
Siegell's Locksmith Shop is taking out a mortgage on a new building. It is going to be an interest-only, 12-year balloon mortgage for $350.000. The APR is 3.35%. The last payment will be the balloon payment of the full
principal.
a. Find the total number of monthly payments, not including the final balloon payment.[
b. Find the amount of each monthly payment if the payments are interest-only. Round to the nearest cent
c. Find the difference between the regular monthly payment and the balloon payment, to the nearest hundred dollars.
d. If the mortgage was not a balloon mortgage, what would be the amount of the monthly payment, rounded to the nearest cent?
Monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the total number of monthly payments, we need to multiply the number of years by 12 (the number of months in a year) and subtract 1 (for the final balloon payment).
So the total number of monthly payments is:
12 x 12 - 1 = 143
b. To find the amount of each monthly payment, we can use the formula
First, we need to convert the APR to a monthly interest rate by dividing by 12:
Monthly Interest Rate = 0.0335 / 12 = 0.002792
Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴³)
= $973.52
The monthly payment is $973.52.
c. The balloon payment is simply the full principal amount of $350,000. The difference between the regular monthly payment and the balloon payment is:
Balloon Payment - Monthly Payment = $350,000 - $973.52 = $349,026.48
The difference is $349,000.
d. To find the monthly payment for a 12-year, fully amortizing mortgage, we can use the same formula as in part b, but with a different Total Number of Payments:
Total Number of Payments = 12 x 12 = 144
Monthly Payment = (350000 x 0.002792) / (1 - (1 + 0.002792)⁻¹⁴⁴) = $3,331.87
The monthly payment for a fully amortizing mortgage would be $3,331.87.
Hence, monthly payment is $973.52, difference is $349,000 and monthly payment for a fully amortizing mortgage would be $3,331.87.
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Keisha can ride her skateboard two and one half miles an hour how far can you ride in 3/4 of an hour
Answer:
1 and 7/8.
Step-by-step explanation:
Two and a half= 5/2
5/2 x 3/4 = 15/8 = 1 7/8
Which graph shows a system of equations with one unique solution at (0, 5)?
Answer:
The 2nd graph
Step-by-step explanation:
We know
The solution is (0,5)
Looking at the options, we only see graph 2 has two lines intersecting at the solution point (0,5). So, the answer is graph 2.
EASY MATH POINTS! Answer from the screenshot :)
Answer: Y = X2
Step-by-step explanation:
A and C aren't proportional and D is increasng
The question is in the photo
The value of y, given that Triangle FEG is similar to Triangle IHJ is 10.
How to find the value of y ?Seeing as Triangle FEG is similar to Triangle IHJ, we can assume that angle EGF is the same as angle HJ1.
This means that 5 y + 8 is equal to 58 degrees.
The value of y is therefore :
5 y + 8 = 58
5 y = 50 - 8
y = ( 50 - 8 ) / 5
y = 50 / 5
y = 10
In conclusion, given the two similar triangles and the angles EGF and HJI, the value of y can be found to be 10.
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if S is 150% of T, then T is what percent of S+T
The percentage representation of T as part of S + T as required is; 40 percent.
What is the percentage representation of T as part of S + T?As evident in the task content;
S is 150% of T.
S = 150/100 × T
S = 1.5T.
Therefore, expressing T as a percentage of S + T as required is as follows;
= (T / (S + T)) × 100%
substitute S = 1.5T into the equation
= T / (T + 1.5T) × 100%
= (1/2.5) × 100%
= 0.4 × 100%
= 40%.
Ultimately, the variable T is 40 percent of S + T.
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Plssssss help--- Jordan bought 3 books and Felicia bought 5 books. They spent a total of $60. How much did each book cost if they were all the same price.
Step-by-step explanation:
$60÷8=$7.50
divide by 8 because 5+3=8
each book should of cost $7.50