Answer:
Step-by-step explanation:
1. Product means multiplying sign in math
23*39=897
2. Answer: 897
hello can someone help me pls
The size of the angle x = 54 degrees
The regular pentagon is given
Number of sides of the pentagon = 5
O is the center of the pentagon
The sum of all the angle around a point is 360 degrees
From the figure we can see that the it equally divided by 5 parts
The measure of each angle = 360/5
= 72 degrees
Consider the corresponding triangle
Sum of all the interior angles of the triangle is 180 degrees and the two sides of the triangle is equal, therefore it is an isosceles triangle
Then,
x + x+ 72 = 180
2x + 72 = 180
2x = 180- 72
2x = 108
x = 108/2
x = 54 degrees
Hence, the size of the angle x = 54 degrees
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46 ---> ? ---> ? = 460
complete this function machine by usin two of the functions shown below
a) times by a 100 b) divide by 10 c) times by 10,000 d) divide by 1000 e) times by 10
f) times by a thousand
Answer:
e)times by 10
Step-by-step explanation:
collects like term
?=x
x=460÷46
=10
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The quadratic function has only maximum value :
[tex]F(x)_{min}[/tex] = 30
x = 3
There is no minimum value of the quadratic function.
Given,
In the question:
The quadratic function is given as:
F(x) = [tex]-3x^2+18x +3[/tex]
Determine whether the following quadratic function has a maximum or a minimum value. Then find the maximum and minimum value of the function.
Now, According to the question:
The quadratic function is given as:
F(x) = [tex]-3x^2+18x +3[/tex]
Take out the leading coefficient
F(x) = -3[tex](x^2-6x)+3[/tex]
Complete the square:
F(x) = [tex]-3(x^2+(2(-3))x + (-3)^2)+(3-(-3)^2))[/tex]
Express the function in vertex form
F(x) = [tex]-3(x-3)^2+30[/tex]
To find the maximum value
[tex]F(x)_{min}[/tex] = 30
x = 3
For Minimum value:
F(x) = [tex]-3x^2 +18x +3[/tex]
Rewrite the function by completing the square
F(x) = [tex]-3(x-3)^2+30[/tex]
The graphs always open downwards
So, There is no minimum value of the quadratic function.
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Use the diagram. What is measure angle 2 + measure angle 3?
Enter the correct value in the box.
measure angle 2 + measure angle 3 = ?
Answer:
The red symbol drawn over ∠2 and ∠3 indicates that the two angles total 90°. Therefore:
[tex]m\angle{2}+m\angle{3}=90^{\circ}[/tex]
0. Given a standard 4 color band resistor, what color code is needed on the 4 bands to have a 0.34
Ohm resistor with a tolerance of ± 10% ?
The colour code needed is silver, green, red and blue for the tolerance of ± 10% on the 4 color band resistor.
What is defined as the term resistor?A resistor is a device that controls or restricts how much electrical current can pass across a circuit in an electronic device. A specified voltage can be supplied via resistors to an active device like a transistor.For the given question;
The most popular type of resistor is the 4-band resistor. The first two bands just provide the first two digits of a resistance value, just as a three band resistor. For a 4 band resistor colour coding, we may start by first locating the tolerance band since it is typically gold or silver. The third band stands for the multiplier whereas the fourth band symbolises tolerance. Due to the widening difference between the tolerance band as well as the multiplier band, the tolerance band may also be easily distinguished.Since it is silver in this instance, the resistor colour code table indicates a tolerance of ± 10% .
Thus, the colour code needed is silver, green, red and blue for the 0.34
Ohm resistor with tolerance of ± 10%.
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You win 50 tickets, 12 tickets, and 16 tickets at
an arcade. You are able to buy 3 of the same item with 3 tickets left over.
How many tickets does 1 item cost?
Answer:
25
Step-by-step explanation:
First, we add 50, 12, and 16, which gives us 78. Then, we remove 3 from the answer, giving us 75. Then, divide 75 by 3.
Answer = 25.
(ps: sorry for any spelling mistakes, i dont really type answers alot)
If you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, You win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with 3 tickets left over.
Number of tickets won,
= 50 + 12 + 16
= 78 tickets
Number of items bought = 3 items
Let the cost of 1 item be 'x' tickets.
The cost of 3 items = 3x
By the amount, we can buy 78 tickets as,
3x = 78
x = 26
Thus, if you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
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Level J > N.1 Convert rates and measurements: customary units W5N convert 31 yards=_____ inches
Answer:
Example 1 : Convert 2 feet into inches. Solution : Here, we convert bigger unit into smaller unit. So we have to multiply. 2 feet = 2 x 12 inches = 24 inches Example 2 : Convert 3.5 yards into inches. Solution : Here, we convert bigger unit into smaller unit…
the area of a traingular garden can be no more than 120 feet. the base of the traingle is 16 feet. what is the height of the traingle
The height of the triangle is 15 feet.
What is the simple definition of a Triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the interior angles of a triangle add up to 180 degrees. It is the polygon with the fewest sides.
What is a right-angled Triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest side of the three sides, known as the hypotenuse, is the third side.
What is the area of the Right-Angled Triangle?The formula for the area of a right-angle triangle is A = (½)×b×h square units.
Let the height of the triangle be h
Given:- The area (A) of the triangle is 120 ft^2.
The base (b) of the triangle is 16 feet.
From the formula, we know that area of the triangle is:-
A = (½)×b×h
By substituting the values of A and b
[tex]120=\frac{1}{2}*16*h\\ h=(120*2)/16\\h=15[/tex]
Hence the height of the triangle is 15 feet.
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Can anyone answer this question?
The equation of the graph in vertex form is: y = 1x – 3| + 5.
How to Write the Equation of a Graph?The graph in the diagram above is a graph of an absolute value equation. The equation can be expressed as y = a|x – h| + k (vertex form), where the vertex is represented as (h, k).
The vertex of the graph is the coordinate of the point where the two straight lines meet.
Given the graph above, the vertex is at point (3, 5). Therefore:
h = 3
k = 5
The graph opens up, so the value of a = 1.
Substitute h = 3 and k = 5 into y = a|x – h| + k:
y = 1|x – 3| + 5
y = 1x – 3| + 5
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White and solve a system of inequalities to model the following situation:
A retail store manager makes comty cloth facemasks for his employees during covid.
He has enough money to buy $100 worth of fabric.
Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric.
It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask.
He only has 15 hours available to work on masks.
He wants to maximise his time and resources.
How many of each type of mask should he make
The system of inequalities for this situation are
Cost inequality = $4x + $6y ≤ $100
Time inequality = 30x + 60 ≤ 900
And the retailer should make 10 single layer and 10 2-layer mask by using the available time and cost.
System of inequalities
When two or more algebraic expressions are compared using the mathematical symbols like <, > ≤, or ≥, then they form an inequality. They are the mathematical expressions in which both sides are not equal.
Given,
A retail store manager makes cotton cloth facemasks for his employees during Covid. He has enough money to buy $100 worth of fabric. Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric. It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask. He only has 15 hours available to work on masks. He wants to maximize his time and resources.
Here we need to find the system of inequalities and we also need to find each type of mask should he make.
Let us consider x be the number of single layer mask and y be the number of 2 layer mask.
Then based on the given cost, the cost inequality is written as,
$4x + $6y ≤ $100.
Here we know the time taken for each mask making, so, in the inequality form, it can be written as,
We know that,
1 hour = 60 minutes
So, 15 hours = 900
Therefore, the inequality of time is written as,
30x + 60 ≤ 900
While we plot these values on the graph then we get the graph like the following,
Here the blue line represent the time inequality and the red line represents the cost inequality.
Through the given graph, we have identified that the retailer should make 10 single layer and 10 2 layer mask by using the available time and cost.
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please help me out on this ASAP!!
The value of k for which the quadratic equation 4s² - 4s + (k - 2) has one real solution is:
k = 16.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by the rule presented as follows:
y = ax² + bx + c
The discriminant of the quadratic function is given as follows:
Δ = b² - 4ac.
The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:
Δ > 0: two real solutions.Δ = 0: one real solution.Δ < 0: two complex solutions.In this problem, the equation is given as follows:
4x² - 4s + (k - 2) = 0.
Hence the coefficients are given as follows:
a = 4, b = -4, c = k - 2.
Hence the discriminant is:
Δ = (-4)² - 4(4)(k - 2)
Δ = 16 - 16k + 32
Δ = 48 - 3k
It has one real solution if Δ = 0, hence:
48 - 3k = 0
3k = 48
k = 48/3
k = 16.
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Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
32 kg to 56 kg
Answer:
4/7
Step-by-step explanation:
32:56
32÷2=16
56÷2=28
16:28
16÷2=8
28÷2=14
8:14
8÷2=4
14÷2=7
4:7
32:56 ~ 32/56
=4/7
ABCD is a quadrilateral.
Work out the length of BC.
Give your answer correct to
1 decimal place.
Optional working
Ansv
+
cm
B,
7.5 cm
A
5 cm
38°
D
13 cm
A quadrilateral is a polygon with four sides, the length of BC for the given quadrilateral will be 8.1.
What is quadrilateral?A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.
In other meaning, a quadrilateral is a kind of polygon in which four sides, for example, rectangle, square, and parallelogram are quadrilateral.
As per the give quadrilateral,
In triangle ACD.
Apply Pythagoras' theorem,
BD = √(5²+7.5²) = 9.0123
In triangle BDC by cosine law,
Cos38° = ((DB)²+(DC)² - (BC)²)/(2×DB×DC)
Cos38° = (9.0123²+13²- (BC)²)/(2×9.0123×13)
Cos38° = (250.25- (BC)²)/(234.32)
(250.25- (BC)²) = 184.646
(BC)² = 65.60
BC = 8.1
Hence, "A quadrilateral is a polygon with four sides, the length of BC for the given quadrilateral will be 8.1".
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Complete question attached below ;
Write an equation in slope-intercept form for the line that passes through the given point
and is parallel to the graph of the equation.
(1,-3); y=-2r+5
Answer:
equation: y= -2x-1
Step-by-step explanation:
y= -2x+b
-3= -2(1)+b
-3= -2+b
b= -1
equation: y= -2x-1
An object attached to a coiled spring is pulled down a distance, lal, from its rest position and then released. Assuming that the motion is simple harmonic with period T,
write a function that relates the displacement, d, of the object from its rest position after t seconds. Assume that the positive direction of the motion is up.
|a| = 3; T = 8 seconds
below
Answer: The general form for an equation that models a wave is this: (+/-) a (sin/cos) (2π(x-p)/T), where a is your amplitude, p is your phase shift, and T is your period. The (+/-) becomes + if the graph is to start in the positive direction, and - if it is to start in the negative direction. The (sin/cos) becomes sine if the graph is to start at 0 before being shifted, while it becomes cosine if the graph is to start at the amplitude.
In this case, our graph starts out negative, and at the amplitude with no phase shift, so the (+/-) becomes -, (sin/cos) becomes cos, and p is zero. Substituting in the values given in the problem, a = 9 and T = 7, we find this equation: d = -9cos(2πt/7).
Step-by-step explanation:
mr. bray prepares a list of 434343 us presidents, 888 of whom died in office. then 181818 of his students each select a president at random (there can be repeats) for their creative writing assignments. what is the probability that at least one of the students select a president who died in office? round your answer to the nearest hundredth.
There is a 0.97541 or 97.541% probability that at least one student will choose a president who passed away in office.
Take into account the details offered.
43 US presidents are listed by Mr. Bray, 8 of them passed away while in office.
Consequently, p= 8/43.
If 8 of the 43 presidents died while in office, then 43-8=35 presidents survived.
q= 35/43
Let X represent how many presidents have passed away while in office.
The probaility that at least one student will choose a president who passed away in office is:
P(X[tex]\geq[/tex]1 ) = 1 -P(X=0)
P(X[tex]\geq[/tex]1 ) = 1 -¹⁸c₀(8/43)⁰(35/43)¹⁸
By using Combinations Formula,
By solving we get,
P(X[tex]\geq[/tex]1 ) = 0.97541
As a result, there is a 0.97541 or 97.541% chance that at least one student will choose a president who passed away in office.
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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
question 1 a sample random sample of 6 bulbs was selected from a lot of 100 for the purpose of estimating its quality. the life of each bulb selected was measured by letting the bulb until it burned out. the results from the test are as follows: bulb number life duration (hours) 1 950 2 1210 3 1070 4 840 5 1420 6 980 a.) estimate the average life of the bulbs in the lot. b.) estimate the total life bulbs in the lot c.) estimate the proportion of bulbs in the lot with life exceeding 1000 d.) estimate the number of bulbs in the lot with life exceeding 1000
a) The average life of the lot is 1078.33 hrs, b) the total life is 107833.33 hours, c) a proportion of 1/2 bulbs have a life exceeding 1000 hrs while d) an estimation of 50 bulbs have a life exceeding 1000 hours.
It is given that the number of bulbs in a given lot is 100.
The number of bulbs in the sample selected is 6
The life of the sample bulbs was
no. life (hours)
1 950
2 1210
3 1070
4 840
5 1420
6 980
a)
The average life of the bulbs can be calculated by
the sum of the lives of the sample/ no. of samples
= (950 + 1210 + 1070 + 840 + 1420 + 980) / 6
= 1078.3333 hrs
b) The total lives of the bulbs in the lot will be
average life X no. of bulbs
= 1078.3333 X 100
= 107833.33 hrs
c)
We can gain the proportion of the bulbs that have a life exceeding 1000 hrs by the given sample
The bulbs
2, 3, and 5 have lives exceeding 1000 hrs.
Hence, out of 6 bulbs, 3 have lives exceeding 1000 hrs.
Therefore the proportion
= 3/6
= 1/2
d)
The number of bulbs in the lot with a life exceeding 1000 will be
proportion X no. of bulbs
= 1/2 X 100
= 50 bulbs
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Determine if the given sequence is an arithmetic sequence. If it is, identify the common difference.
5, 4, 3, 2, ...
Is this an arithmetic sequence?
Ο No
O Yes
Select the correct choice and fill in any answer boxes in your choice below.
O A. The common difference is
O B. There is no common difference.
Answer:
Is this an arithmetic sequence?
Yes.
Is there a common difference and if so, what is it?
Yes, there is a common difference : 1
The common difference is 1
Peggy is planting a garden. The garden is 103 feet wide by 7 feet long. What is the area of the garden?
Answer: 721 ft
Step-by-step explanation:
formula for area is a=l*w
Given: w=103, length=7
103*7=721
Answer: The answer 721. When you are finding an area of something you must multiply the length and the width so the information given.
103 x 7 = 721 feet long
Here is the real problem:
It's sloppy as long as you understand the concept : )
what is 112/200 as a percentage
Answer:
56%
Step-by-step explanation:
112/200 as a percentage
112/200 = 0.56
0.56 as a percentage:
0.56 * 100 = 56%
Answer::
To do percentages with fractions,
divide the numerator by denominator to get a decimal,
so for example, your question, 112/200
112/200 is 0.56 decimal, and then to make it percent,
we multiply by 100,
how does that work?
you move two places to the right because 100 has two zeros
so 0.56 would be 56,
therefore the percent of 112/200 would be 56%
Have a good day! <3
Write the equation of a line in point slope form that has a slope of 2 and passes through the point (-2,5)
Answer:
y=2x+9
Step-by-step explanation:
Fill in the equation
5=2(-2)+b
Solve for b
5 = -4+b
9 = b
Put the original equation
y=2x+9
A car completes a journey at an average speed of 40 km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60 km/h?
quickly please!
The answer average speed is120KM/h
What is speed?
The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.
Given in the question a car travels in 40Km/h
Total distance will be 's' = speed * time.
The total round trip avg speed is 60km/h
So time is taken to reach = s/40 hr
And time is taken to return back = s/x hr
The total time is given = 2s/60
We can write 2s/60 = s/40+s/x
⇒ 1/x = 1/30-1/40
⇒1/x = 1/120
⇒x = 120 KM/hour
Hence the, the average speed in the return journey is 120KM/hour.
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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time. The price f(x), in dollars, of product A after x years is represented by the function below: f(x) = 12500(0.82)x Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points) Part B: The table below shows the price f(t), in dollars, of product B after t years: t (number of years) 1 2 3 4 f(t) (price in dollars) 5600 3136 1756.16 983.45 Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Step-by-step explanation:
so, after clarification from your side, we know
f(x) = 12500 × (0.82)^x
so, with every new year we are multiplying the value of the previous year by 0.82.
in other words
f(n) = f(n-1) × 0.82
with f(0) = 12500
because anything to the power of 0 equals 1.
A
so, the price is decreasing every year, because any multiplication with a positive value smaller than 1 decreases the original number.
multiplying an amount by a decimal number like 0.82 creates exactly 82% of the original amount because 1 represents 100%.
that means the value decreases every year by 100 - 82 = 18% compared to the value of the previous year.
B
1 5600
2 3136
3 1756.16
4 983.45
remember, Part A showed always an 18% decrease over the previous year.
from 5600 to 3136, this was a change of
100% = 5600
1% = 100%/100 = 5600/100 = $56
the price difference was 5600 - 3136 = 2464
how many % was that decrease ?
as many as how often 1% fits into 2464 :
2464 / 56 = 44%
that was much more than Part A.
from 3136 to 1756.16, this was a change of
100% = 3136
1% = $31.36
the price difference was 3136 - 1756.16 = $1,379.84
how many %
1,379.84 / 31.36 = 44%
again.
from 1756.16 to 983.45, this was a change of
100% = 1756.16
1% = $17.5616
the price difference was 1756.16 - 983.45 = 772.71
hire many %
772.71 / 17.5616 = 43.99997722...%
and again 44% (just a little rounding uncertainty).
so, product B recorded a much greater percentage change in value over the previous year than product A :
44% to 18%
graph the following inequality:
Please help thx
The equations y=3+2 and y=2x+1 both will meet at x=3
What is inequality?A difference between two values indicates whether one is smaller, larger, or simply not equal to the other.a b asserts that a and b are not equal.If a b, then a must be less than b.When a > b, an is greater than b. (those two are known as strict inequality)If a and b are divided, a must be smaller than or equal to b.When a and b are together, an is greater than or equal to b.Acc to our question-
Given, 3x−2<2x+1⇒3x−2x<1+2⇒x<3orx∈(−∞,3)The lines y=3x−2 and y=2x+1 both will intersect at x=3 Clearly, the dark line shows the solution of 3x−2<2x+1.Hence,The lines y=3x−2 and y=2x+1 both will intersect at x=3
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Solve the inequality. Graph the solution.
−8≤2/5(k−2)
Solve the inequality. Graph the solution.
−8≤2/5(k−2)
Answer: K is greater than or equal to 18
Step-by-step explanation:
Answer:k>=-18
Step-by-step explanation:
Rewrite so k
is on the left side of the inequality.
2/5⋅(k−2)≥−8
Multiply each term in
2/5⋅(k−2)≥−8 by 5/2 to eliminate the fractions.
k−2≥−20
Move all terms not containing
k to the right side of the inequality.
k≥−18
The result can be shown in multiple forms.
Inequality Form:
k≥−18
HELP ME PLS IM STRUGGLING
1. If 1(-1) for the polynomial f(z) = 2z+z²-5 is-2, can you use the Factor Theorem to find the other factor?
No, because (x+1) is not a factor of the polynomial f(z) = 22 +2²-5,
Yes, because (x + 1) is a factor of all degree 4 polynomials.
No, because-2 is not an irrational number.
Yes, because-2 is the opposite of the leading coefficient of f(z) = 2x¹ +2²-5.
Answer: yes, because -2 is the opposite of the leading coefficient
Step-by-step explanation:
Assume the following:
• x + y = L
• x^2 + y^2 = M
Assuming L and M are constants, evaluate x^3 + y^3 in terms of L and M.
Please show work
If x + y = L and [tex]x^2+y^2[/tex] = M and the vales of L and M are constants, then the value of [tex]x^3+y^3[/tex] in terms of L and M is [tex]x^3+y^3=L^3-3(\frac{L^2-M}{2} )(L)[/tex]
The given values are
x + y = L
[tex]x^2+y^2[/tex] = M
We know the value of
[tex](x+y)^3=x^3+y^3+3xy(x+y)[/tex]
Rearrange the terms and convert to the suitable form
[tex]x^3+y^3=(x+y)^3-3xy(x+y)[/tex]
The value of x + y = L
Substitute the value of x + y in the equation
[tex]x^3+y^3=L^3-3xy(L)[/tex]
Here we have to find the value of xy
We know
[tex](x+y)^2=x^2+y^2+2xy[/tex]
Rearrange the terms and convert to suitable form
[tex]2xy=(x+y)^2-(x^2+y^2)[/tex]
Substitute the values in the equation
2xy = [tex]L^2-M[/tex]
xy = [tex]\frac{L^2-M}{2}[/tex]
Substitute the value of xy in the equation
[tex]x^3+y^3=L^3-3(\frac{L^2-M}{2} )(L)[/tex]
Hence, if x + y = L and [tex]x^2+y^2[/tex] = M and the vales of L and M are constants, then the value of [tex]x^3+y^3[/tex] in terms of L and M is [tex]x^3+y^3=L^3-3(\frac{L^2-M}{2} )(L)[/tex]
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bruce bought two books.one book costs $4 more than three times than the other.they both equal 72$
Bruce paid $17 and $55 respectively for each of the books
How to determine the cost of each book?From the question, we have the following statements:
Number of books = 2One book = $4 more than three times the other.Both books = 72$Represent the books with the variables x and y
So, we have the following equations
x = 4 + 3y
x + y = 72
To start with;
We can substitute 4 + 3y for x in the equation x + y = 72
So, we have the following representation
4 + 3y + y = 72
Evaluate the like terms
4 + 4y = 72
Collect the like terms in the above equation
So, we have the following equation
4y = 72 - 4
Evaluate the like terms
4y = 68
Divide both sides by 4
So, we have
y = 17
Recall that x = 4 + 3y
Substitute 17 for y in the equation x = 4 + 3y
x = 4 + 3 * 17
Evaluate the products
x = 4 + 51
Evaluate the sum
This gives
x = 55
Hence, the cost of the books are $17 and $55
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Possible question
Bruce bought two books, one book costs $4 more than three times than the other. They both equal $72.
What is the cost of each book
Sandra Williams bought a home with a 10.25% adjustable rate mortgage for 25 years. She paid $9.27 monthly per thousand on her original loan. At the end of 3 years she owes the bank $50,000. Since then, interest rates have increased to 12.75%. The bank will renew the mortgage at this rate, or Sandra can pay the bank $50,000. She decides to renew and will now pay $11.10 monthly per thousand on her loan. (You can ignore the small amount of principal paid during the 3 years.)
The old monthly payment is $
.
The new monthly payment is $
.
The percent increase in her monthly payment (to the nearest tenth) is
%.
The old monthly payment was = 9.27 x 50 = 463.5
The new monthly payment is = 11.10 x 50 = 555
The percent increase in his monthly payment is 1.947%
Given,
Sandra Williams bought a home with a 10.25% adjustable rate mortgage for 25 years. She paid $9.27 monthly per thousand on his original loan
According to the question:
So, per thousand value of $65000 is 50000/1000 =50
Now, the old monthly payment was = 9.27 x 50 = 463.5
She decides to renew and will now pay $11.10 monthly per thousand on his loan.
So, the new monthly payment is = 11.10 x 50 = 555
The percent increase in his monthly payment is= 11.10 /9.27 - 1 x 100
19.7411 % and to nearest tenth it is 1.947%
Hence, the old monthly payment was = 9.27 x 50 = 463.5
the new monthly payment is = 11.10 x 50 = 555
The percent increase in his monthly payment is 1.947%
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