Estimate 6769 x 925 by first rounding each number so that it has only 1 nonzero digit.

Answers

Answer 1

The resulting value of the the expression 6769 x 925 by first rounding each number so that it has only 1 nonzero digit is 63,000

Round off

Round off refers a number is made simpler by keeping its value intact but closer to the next number. And it is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

Given,

Here we need to estimate  6769 x 925 by first rounding each number so that it has only 1 nonzero digit.

Here we have to take individual terms to round off then we get,

By rounding 6799 so that it has only one non-zero digit is rounding it to nearest thousand.

6769 rounds to nearest thousand as 7000 as hundreds digit 7 > 5.

Similarly, by rounding 925 so that it has only one non-zero digit is rounding it to nearest hundred.

925 rounds to nearest hundred as 900 as tens digit 2 < 5.

Now, the estimated value after rounding each number so that it has only one non-zero digit is

=> 7000 x 900

=> 63000.

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Related Questions

If the sum of two numbers is 10 and the difference of their squares is also 10, find the numbers?​

Answers

The two numbers with sum is 10 and difference of their squares is 10  are 5.5 and 4.5.

What is square of numbers?

A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3^2 and is represented by the symbol 3 x 3.

Suppose x and y are the two numbers with sum is 10 and difference of their squares is 10.

As sum of two numbers is 10.

So, x + y = 10            ..(1)

As difference of their squares is 10.

So,  x^2 - y^2 = 10             ..(1)

From equation (1), x = 10 - y

Plug value of x in equation (2)

          (10 - y)^2 - y^2 = 10

100 - 20y + y^2 - y^2 = 10

                  100 - 20y = 10

                           20y = 100 + 10

                             2y = 110

                               y = 5.5

Plug y = 5.5 in equation (1)

x + 5.5 = 10

        x = 10 - 5.5

        x = 4.5

Therefore, The two numbers with sum is 10 and difference of their squares is 10  are 5.5 and 4.5.

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A cone has a volume of 2411.52 cubic millimeters and a radius of 12 millimeters. What is its height? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

The height of the cone given the volume of 2411.52 cubic millimeters and a radius of 12 millimeters is 16 millimeters.

How to find height of a cone?

Volume of a cone = 2411.52 cubic millimetersRadius of the cone = 12 millimeters

Volume of a cone = 1/3πr²h

2411.52 = 1/3 × 3.14 × 12 x 12 × h

2411.52 = 1/3 × 3.14 × 144h

2411.52 = 452.16h / 3

cross product

7,234.56 = 452.16h

divide both sides by 452.16

h = 7,234.56 / 452.16

h = 16 millimeters

In conclusion, the height of the cone is given by 16 milliliters.

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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The statement that is true about the quadratic function is (b) the graph of the function is a parabola.

How to determine the true statements?

The quadratic function is given as

f(x) = x2 – 5x + 12

Rewrite as

f(x) = x² – 5x + 12

All quadratic functions are parabola

This means that option (b) is true

Set x = -10 to calculate f(-10)

So, we have

f(-10) = (-10)² – 5(-10) + 12

Evaluate

f(-10) = 162

This means that option (a) is false

Set x = 20 to calculate f(20)

So, we have

f(20) = (20)² – 5(20) + 12

Evaluate

f(20) = 312

This means that option (d) is false

Set x = 0 to calculate f(0)

So, we have

f(0) = (0)² – 5(2) + 12

Evaluate

f(0) = 12

This means that option (e) is false

The leading coefficient in f(x) = x² – 5x + 12 is positive

Graphs with positive leading coefficient opens up

This means that option (c) is false

Hence, the true statement about the quadratic function is (b)

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Your office window is a 45 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is b = 600 horizontal feet
from your office. You know that the statue is c= 125 feet from the building. How tall is the statue? (See the figure below. Round your answer to two decimal places.)

Answers

The height of the statue that exactly with the bottom of a building is approximately 9.3926 feet tall.

height of the office window , a = 45 feet

the bottom of a building that is horizontal  from the office, b = 600 feet

let x represent the angle

tan(x) = a/b

tan(x) = 45/600

x = tan⁻¹(0.75)

x = 4.28 degree

the height of the statue, h  = ?

the statue is from the building, c = 125 feet

tan(45/600) = h/125

h = tan(0.075) x 125

h = 9.3926 feet

The height of the statue that exactly with the bottom of a building is approximately 9.3926 feet tall.

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Write these as normal numbers.
b)
9.6 × 10⁹

Answers

Answer:

9600000000

Step-by-step explanation:

9.6 x (10^9)

First, write 10^9 as 1000000000

Multiply by 9.6

= 9600000000.

Solve for (A) current ratio, (B) acid test (quick), (C) average day's collection (D) asset turnover, and (E) profit margin on sales. Round to nearest hundredth or hundredth percent as needed. Current Assets $ 21,000 Accounts Receivable 4,200 Current Liabilities 16,000 Inventory 3,500 Net Sales 41,000 Total Assets 32,000 Net Income 6,000

Answers

a. The current ratio is 1.3125

b. The acid test is 1.09375.

c. The average day collection is 37 days.

d. The asset turnover is 1.28.

e. The profit margin on sales is 14.63%.

How to calculate the current ratio?

a. The current ratio will be:

= Current asset / Current liability

= 21000 / 16000

= 1.3125

b. Acid test quick ratio will be:

= (Current asset - Inventory) / Current liability

= (21000 - 3500) / 16000

= 1.09375

c. Average day collection will be:

= Account receivable / (Net sales / 360)

= 4200 / (41000 / 36)

= 4200 / 114

= 37 days.

d. Asset turnover will be:

= Net sales / Total asset

= 41000 / 28000

= 1.28

e. Profit margin will be:

= Net income / Net sales

= 6000 / 41000

= 14.63%

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A certain disease has an incidence rate of 0.2%. If the false negative rate is 8% and the false positive rate is
1%, compute the probability that a person who tests positive actually has the disease.
Give your answer accurate to at least 3 decimal places

Answers

According to the solving the probability will be 0.159.

What is probability?

The area of mathematics known as probability deals with numerical assessments of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

In statistics, what exactly is a probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. In addition to being expressed in percentages ranging from 0% to 100%, probabilities can also be expressed as proportions between 0 and 1.

According to the given data:

The incidence rate is = 0.2%  or 0.002

The false negative rate is = 8%  or 0.008

The false positive rate is = 1%  or 0.001

The probability is

0.01*(1-0.002) + 0.95*0.002

= 0.00998 + 0.0019 = 0.01188

Probability that a person who tests positive actually has the disease would be represented as:

Let the probability be represented by = p

p * 0.01188 = 0.95 * 0.002

p = 0.0019/0.01188

p = 0.159

Hence, probability is 0.159

According to the solving the probability will be 0.159.

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I need help! Theorem and Postulates! I will give brainliest....Please!

Answers

The theorem that proves that the triangles are congruent is the Hypotenuse-leg (HL) Congruence Theorem. The correct option is the first option - HL Congruence Theorem

Congruent triangles: Hypotenuse-leg theorem (HL)

From the question, we are to determine by what theorem of postulate the triangles can be proven congruent.

From the Hypotenuse-leg theorem which states that "if the hypotenuse and a leg of a right triangle are each congruent with the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent".

From the given diagram, we can observe that the hypotenuse of the first triangle is congruent to the hypotenuse of the second triangle. Likewise, we can observe that one of the legs of the first triangle is congruent to the one of the legs of the other triangle.

Hence, the triangles are congruent by the Hypotenuse-leg theorem.

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a recipe requires 3/4 cup of water. Nora has a 1 1/2 cup measuring cup. how much of the measuring cup is filled with water?

Answers

Answer:

i think it is 15/20

Step-by-step explanation:

because 6/8,9/12,12/16

1/2 the measuring cup 3/4 + 3/4 is 1 1/2

Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100

Answers

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Ray's favorite activity is taking a leisurely bike ride through the park after work. Suppose his bike has a flat tire, so he decides to go for a jog instead. Jogging burns 745 calories an hour. How long does he need to jog in order to burn off that same extra doughnut and large frozen latte that he ate that afternoon? The doughnut had approximately 320 calories, and the latte had 820 calories.

Answers

Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.

Given,

The amount of calorie burns while jogging = 745 calories

The amount of calorie in Doughnut = 320 calories

The amount of calorie in latte = 820 calories

Here,

Total calorie intake by Ray = 320 + 820 = 1140

The calorie burnt while jogging = 745

Number of hours Ray needs to jog for burning 1140 calories;

1140/745 = 1.53 hours.

That is,

Ray have to jog 1.53 hours to burn the calories he had taken by eating doughnut and latte.

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PLEASE HELP ASAP 30 POINTS PLUS BRAINLEST Simplify (3.2 x 10^−9) − (6.4 x 10^−8). Write the final answer in scientific notation.

−6.08 x 10^−9
−6.08 x 10^−8
−3.2 x 10^−1
−3.2 x 10^1

Answers

Answer:

B. -6.08 x 10^-8

Compute ending work in process inventory for a manufacturer using the following information.
Rav materials purchased
Direct materials used
Direct labor used
Factory overhead
Work in process inventory, beginning
Cost of goods manufactured
Ending Work in Process Inventory is Computed as:
Work in process inventory, beginning
Total manufacturing costs
Total cost of work in process
Work in process inventory, ending
$ 133,200
82,600
61,000
103,400
26,800
234,000

Answers

Total cost of work in process Work in process inventory, ending=$1,320,000

What is computation?Any sort of arithmetic or non-arithmetic calculation that adheres to a well defined paradigm is referred to as computation.

The scenario dictates that the computation of the provided data be as follows:-

Buying raw materials will cost $1,800,000.

$20k is the opening stock of raw materials.

Raw material closing stock: $3,140,000.

Purchase of raw materials plus opening stock of raw materials minus closing stock of raw materials equals direct material used.

= $1,800,000 + $20,000 - $3,140,000= $1,320,000

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A company has 35% and 3% hydrogen peroxide solutions. They need an 8 L container with a 12% concentration of hydrogen peroxide. How much of the 3% hydrogen peroxide solution should they include in the container?​

Answers

Answer:

2 L

Step-by-step explanation:

If the first one is 12% then the 3% one would be 2L because of algebra

5.75 liters of 3 percent hydrogen peroxide solution are included by the company in the container.

What is the percentage?

A measurement used to determine a number's value out of 100 is the percentage.

Hydrogen peroxide solutions in various containers have concentrations of 35% and 3%.

Since the corporation wants an 8-liter container with a 12% hydrogen peroxide concentration.

Use mixture and allegation property,

35           3

       12

9       :       23

Total quantity = 23x + 9x = 32x

Since, the company wants 8 liters,

therefore, 32x = 8 ⇒ x = 1/4

3.5 percent hydrogen peroxide solution will be equal to = 23x = 23/4 = 5.75. 5.75 liters of 3 percent hydrogen peroxide solution are needed.

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help please??? for brianlest???

Answers

Step-by-step explanation:

Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)

Y value is also called f(x) as shown on your screen

The points are

(1,-8)

(2,5)

(3,-2)

(4,1)

The domain would be 4,3,2,1 and the range would be -8,-2,1,5

The common difference is that the domain follows a constant change of rate, but not the range.

A constant change of rate means that it's changing at a constant rate.

It can also be called slope.

E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)

The domain is subtracting 1, yet the range isn't following a constant change of rate.

A way to find slope is in the image.

The domain is ALWAYS the X value. So the domain is 1,2,3 and 3!! While the Range side is always the Y value so the range is -8,-5,-2, and 1.

What is 1 5/9+2 7/9 in simplest form

Answers

Answer:

13/3

Step-by-step explanation:

3 [tex]\frac{12}{9}[/tex]

[tex]\frac{12}{9}[/tex]= 1 [tex]\frac{1}{3}[/tex]

3+1 1/3

4 [tex]\frac{1}{3}[/tex]

13/3

Answer:

Step-by-step explanation:

step one just add 5/9 +7/9 since they have the same denominator then that will equal 4/3

2nd step add the 1 and 2 together since they are both whole numbers. which equals 3

3rd step 4/3 + 3/1 which equals 13/3 maybe or if the answers wants a mixed number than the answer might be 4 1/3!

I'm not quite sure but try and see if its correct! :)

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3

Answers

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

How to illustrate tye information?

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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(−3,y) and (x,2).

y=4x+6
orderd pair

Answers

The values of x and y are -1 and 6 respectively, this forms an ordered pair of (-3,6) and (-1,2).

What are the missing x and y values values of the given ordered pair?

Given the equation and ordered pair in the question;

y = 4x + 6Point: (-3,y) Point; (x,2)

Find the y-value by substituting the x-value into the equation and solving for y.

y = 4x + 6

Plug in x = -3

y = 4( -3 ) + 6

y = -12 + 6

y = 6

Find the x-value by substituting the y-value into the equation and solving for x.

y = 4x + 6

Plug in y = 2

2 = 4x + 6

2 - 6 = 4x

-4 = 4x

x = -4/4

x = -1

Therefore, the ordered pair are (-3,6) and (-1,2).

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NO LINKS!! Please help me with this probability question Part 1j​

Answers

Answer:

[tex]\textsf{b)} \quad \text{P}(A\;\text{and}\;B)=\dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\text{P}(A)=\dfrac{1}{4}[/tex]

[tex]\text{P}(B)=\dfrac{1}{4}[/tex]

[tex]\text{P}(A|B)=\dfrac{4}{5}[/tex]

Conditional Probability Formula

[tex]\text{P}(A \cap B)=\text{P}(B)\;\text{P}(A|B)[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \text{P}(A \cap B)&=\dfrac{1}{4} \cdot \dfrac{4}{5}\\\\&=\dfrac{4}{20}\\\\&=\dfrac{1}{5}\end{aligned}[/tex]

the data given to the right includes data from 37 candies, and 5 of them are red. the company that makes the candy claims 30% of its candies are red. use the sample data to construct a 95% confidence interval estimate of the percentage of red candies. what do you conclude about the claim of 30%?

Answers

The Sample proportion for the data to construct a 95% confidence interval is 0.1351.

The percentage of red candies is  (24.5%,  2.52%)

What do you mean by sample proportion?

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Sample proportion [tex]=\frac{5}{37}=0.1351[/tex]

For 95% confidence interval, z = 1.96

Hence,

95% confidence interval will be:

[tex]0.1351 \pm 1.96\times \sqrt{0.1351\times(1-0.1351)/37}[/tex]

[tex]0.1351\pm0.1099[/tex]

(0.245, 0.0252)

(24.5%,  2.52%)

Since the confidence interval only contains values less than 30%.

The result is not consistent with 34% rate reported by the candy maker.

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In triangle GHJ, K(8,6) is the midpoint of GH, L(2,2) is the midpoint of HJ, and
M(10,4) is the midpoint of GJ. Find the coordinates of G, H, and J.

Answers

The coordinates of G(4, 4) , H (0, 2),  J(8, 0)

In order to construct the three sets of relationships between the coordinates of each triangle's three sides' ends and the shared midpoint, we must first set up the three sets of relationships.

G(x(G), y(G))

K(2, 3) (2, 3)

M(6, 2) (6, 2)

H(x(H) and y(H))L (4, 1)

J(x(J), y(J))

K(2, 3) at the midway of side GH

According to the x-component:

x(H) = x(G - x(H))/2

x(G)-[x(H)-x(G)] = 2*x(H)

x(H) + x(G) = 4

x(H) = 4 - x(G) (G)

According to the y-component:

y(H) plus [y(G) - y(H)]/2 = 3.

2*y(H) plus [y(G-y(H)] = 6

y(H) + y(G) = 6

y(H) = 6 - y(G) (G)

Midpoint L(4) and side JH(1):

According to the x-component:

(x(H) + [x(J) - x(H)]/2) equals four.

2*x(H) plus [x(J)-x(H)] = 8

x(H) + x(J) = 8

x(H) = 8 - x(J) (J)

According to the y-component:

y(H) = y(J - y(H)]/2 + y(J) = 1

y(J) - y(H) = 2*y(H)

y(H) + y(J) = 2

y(H) = 2

Side GJ with M(6, 2) as the midpoint:

For the x - component, the formula is: x(J) = [x(G) - x(J)]/2 = 6 2*x(J) = [x(G)- x(J)] = 12 x(J) = 12 - x (G)

y(J) + [y(G) - y(J)]/2 = 2 2*y(J) + [y(G)- y(J)] for the y-component. = 4 y(J) = 4 - y + y(G) = 4 y(J) (G)

The x and y coordinates may now be easily separated, and we can use algebra to isolate each one and determine its location.

x(H) = 4 - x(G), 8 - x(J), and 12 - x(J) (G)

Because x(H) = x (H)

4 - x(G) = 8 - x(J) (J)

8 - x(J) - 8 - x(G) - 4 = -x(J) x(J) x(J) = 4 + x (G)

Using 1.c above and this relationship now x(J) = x(J), so:

-2 * x(G) = -8 x(G) =, 4 12 - x(G) = 4 + x(G) 12 - x(G) - x(G) - 12 = 4 + x(G) - x(G) - 12

Given that x(J) = 4 + x(G) above, x(J) = 4 + 4 = 8 and x(H) = 4 - x(G) = 4 - 4 = 0 respectively.

Let's now perform the identical procedure using the y-coordinates.

y(H) = 6 - y(G), y(H) = 2 - y(J), y(J) = 4 - y(G),

and since y(H) = y(H), 6 - y(G) = 2 - y(J), -y(G) = 2 - y(J) - 6 = -y(J) - 4 y(G) = y(J) + 4 Now that y(J) = 4 - y,

we may substitute (G).

y(H) = y(G) - 2 and y(H) + 4 - y(G) = 2

and y(H) + 4 - y(G) = 2 - 4 and y(G)

Since y(H) = 6 - y(G)

according to 1. above, y(H) = y(G) - 2 + 6 - y(G) 2 * y(H) = 4 y(H) = 2 y(H) = 2 - y(J) 2 = 2 - y(J) y(J) = 4 - y(G) 0 = 4 - y(G) y(G)

H(x(H), y(H)), G(x(G), y(G)), and J(x(J), y(J)) are the results.

To determine the coordinates of the angles or triangle's tips, we used the midpoints of each side.

The coordinates are: H (0, 2) G(4, 4) J(8, 0)

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The amount of Jerry's pay every week before taxes, J, is given below as a function of the number of overtime hours that he works (the number of hours over 40), h.

J = $493.60 + $18.51h

Assuming that Jerry is only paid for each whole hour that he works, how many total hours would Jerry have to work during a week to make at least $700.00?
A. 51
B. 52
C. 62
D. 11

Answers

The total number of hours that Jerry would work during a week to make at least $700.00 is 11 hours

How to determine number of hours that Jerry would work

information given in the query

The amount of Jerry's pay every week before taxes, J,

a function of the number of overtime hours that he works (the number of hours over 40), h

J = $493.60 + $18.51h

The given equation is an equation of linear function

considering the equation J = $493.60 + $18.51h, the number of hours that Jerry would work is gotten by substituting the value of $700.00 and solving for number of hours

J = $493.60 + $18.51h

700 = 493.60 + 18.5h

18.5h = 700 - 493.60

18.5h = 206.4

h = 11.16

h = 11 hours

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A frozen yogurt stand charges per ounce of frozen yogurt purchased. There is an extra charge for a waffle bowl. The total cost (c), in dollars, for f ounces of frozen yogurt in a waffle bowl, is described by the function c = 0.45f + 1.

Which statement is true?

A.
The cost of 0.45 ounce of frozen yogurt in a waffle bowl is $1.
B.
Each ounce of frozen yogurt costs $1 and a waffle bowl is $0.45 extra.
C.
Each ounce of frozen yogurt costs $0.45 and a waffle bowl is $1 extra.
D.
The cost of 0.45 ounce of frozen yogurt in a waffle bowl is $1.45.

Answers

Answer:

$0.45 and a waffle bowl is $1 extra.

Step-by-step explanation:

1. Assuming the cost of mortgage is $720,000, and the owner of the house makes a down payment of $60,000, with 7.5% interest rate and 25 years repayment plan. a. Calculate the total amount of loan, monthly rate, number of payment periods, monthly payment, total interest paid, and amount borrowed. b. With the aid of what PMT function in a one variable condition, calculate monthly payment, total amount payable, total interest payable for: 11 yrs, 14 yrs, 18 yrs ,20 yrs, 28 yrs, 31 yrs mortgage.​

Answers

The total amount he will pay after 25 years is $18,97,500.

His monthly payment will be $6,325.

Given, the cost of mortgage is $720,000, and the owner of the house makes a down payment of $60,000, with 7.5% interest rate and 25 years repayment plan.

Now, the total amount of the loan be,

720000 - 60000 = 660,000

monthly rate = 7.5/12 = 0.625%

Number of payment periods = 25

Total amount he has to pay after 25 years,

660000 + (660000×7.5×25)/100

= $18,97,500

His monthly payment will be

1897500/25×12

= $6,325

Hence, the total amount he will pay after 25 years is $18,97,500

also, his monthly payment will be $6,325.

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Use the literal symbols listed at the end of the problem to translate the given statement into an algebraic formula.
In a given weight, the number of grams equals 454 times the number of pounds. (g. p)

Choose the correct formula below.

A. g=454 +p

C. p=454g

E. g=454-p

G. g= 454
——
p

B. p=454 +g

D. p=454-g

F. g=454p

H. g= p

454

Answers

Let grams = g
Pounds = p
Number(g) = 454 x p
Which means;
g = 454p

Consider the equation and the following ordered pairs: (6,y) and (x,1).

y=−2x+5

Answers

The values of y and x are -7 and 2 respectively, completing the ordered pairs: (6,-7) and (2,1).

What are the values of y and x?

Given the equation in the question;

y = −2x + 5Ordered pairs: (6,y) and (x,1)

To find the y-value that completes the ordered pair ( 6,y ), replace all occurrence of x with 6 in the equation and solve for y.

y = −2x + 5

y = −2( 6 ) + 5

Multiply -2 and 6

y = -12 + 5

y = -7

Hence, the output value is -7, this forms an ordered pair of (6,-7).

To find the x-value that completes the ordered pair ( x,1 ), replace all occurrence of y with 1 in the equation and solve for x.

y = −2x + 5

1 = −2x + 5

Add 2x to both sides

1 + 2x = −2x + 2x + 5

1 + 2x = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence, the input value is 2, this forms an ordered pair of (2,1).

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Solve for X in the equation;
2x+5=7

Answers

Answer:

x=1

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

2x + 5 = 7

2x + 5 - 5 = 7 - 5

2x = 2

2x/2 = 2/2

x=1

help please??? brainlest

Answers

a_n=-27+12n

Hope it helps

If the shared side between angles 1 and 2 has a measure of 2x+7 and the shared side between angles 3 and 4 has a measure of 7x+3, what is the value of X?

Round your answer to the nearest hundredth.

Answers

Answer:

x = 0.8

Step-by-step explanation:

Both mentioned sides have equal length as opposite sides of a parallelogram.

Set equation and solve for x:

2x + 7 = 7x + 37x - 2x = 7 - 35x = 4x = 4/5x = 0.8

(7x2) x 3
Drag numbers to the boxes to show how to find the product.
(7x2) x3 = 7x (
(7x2) x3 = 7x
(7×2)×3={______
x3

2 3 6 7 13 21 42 49

Answers

First you need to multiply the one in the bracket 7x2 which is 14 then u must multiply it with 3 to get the answer so 14x3 which equals to 42
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