The length of a rectangle is 7 m less than three times the width, and the area of a rectangle is 66 m^2. find the dimensions of the rectangle.

Answers

Answer 1

Answer:

length =11m

width =6m

Step-by-step explanation:

let the w = x

L = 3x-7

area =L*w

66 = (3x-7)*x

66 = [tex]3x^{2} -7x[/tex]

[tex]3x^{2} -7x-66=0[/tex]

[tex]3x^{2} -18x+11x-66=0[/tex]

3x(x-6)+11(x-6)=0

(3x+11)(x-6)=0

x-6=0

x=6

recall,

L = 3x-7 =3*6-7=11


Related Questions

Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Kaelyn wants to make 3 times as many scarves as hats and use 5 kilograms of yarn. Let h be the number of hats Kaelyn makes and s be the number of scarves she makes.

Answers

Answer:

10 hats and 30 scarves

Step-by-step explanation:

Let h be the number of hats Kaelyn makes and s be the number of scarves she makes.

Kaelyn wants to make 3 times as many scarves as hats, so

s = 3h

Each hat uses 0.2 kilograms of yarn, then h hats use 0.2h kg of yarn.

Each scarf uses 0.1 kilograms of yarn, then s scarves use 0.1s kg of yarn.

Kaelyn wants to use 5 kilograms of yarn, thus

0.2h + 0.1s = 5

You get the system of two equations:

[tex]\left\{\begin{array}{l}s=3h\\ \\0.2h+0.1s=5\end{array}\right.[/tex]

Substitute the first equation into the second

[tex]0.2h+0.1\cdot 3h=5\\ \\0.2h+0.3h=5\\ \\0.5h=5\\ \\5h=50\\ \\h=10\\ \\s=3\cdot 10=30[/tex]

Answer:

s=3h

0.2h+0.1s=15

Step-by-step explanation:

Please explain answer to the math question in the picture thanks so much!

Answers

Answer:

[tex]m = -6 \ or \ m = -\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{m^2+7m+6}+\frac{m+3}{m^2+7m+6}= \frac{5}{m+6}\\[/tex]

Simplifying the above equation we get:

Step 1: Solving for common denominator term we get;

[tex]\frac{1+m+3}{m^2+7m+6}= \frac{5}{m+6}\\\\\frac{m+4}{m^2+7m+6}= \frac{5}{m+6}[/tex]

Step 2: Multiplying denominators on both side we get;

[tex](m+4)(m+6)=5(m^2+7m+6)\\m^2+6m+4m+24 = 5m^2+35m+30\\m^2+10m+24 = 5m^2+35m+30\\5m^2+35m+30-m^2-10m-24=0\\4m^2+25m+6=0[/tex]

Step 3: Now we need to find the factors of m.

[tex]4m^2+25m+6=0\\4m^2+m +24m+6=0\\m(4m+1)+6(4m+1)=0\\(4m+1)(m+6)=0[/tex]

Step 4: Solving for both terms we get;

[tex]4m+1=0\\4m =-1\\m= - \frac{1}{4}[/tex]

Also,

[tex]m+6=0\\m=-6[/tex]

Hence [tex]m = -6 \ or \ m = -\frac{1}{4}[/tex]

Profit is always calculated as revenue minus expenses. If a company’s expenses were $10 million, write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars). Then, determine the profit when revenue is $25 million.

Answers

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

The profit is $15 million when revenue is $25 million

Step-by-step explanation:

The formula of the profit is P = R - E, where

R is the revenueE is the expenses

If a company’s expenses were $10 million, wee need to write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) and then find the profit when revenue is $25 million

∵ P is the profit in millions of dollars

∵ R is the revenue in millions of dollars

∵ The expenses E were $10 million

∵ Profit = Revenue - Expenses

∴ P = R - 10

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

∵ The revenue R = $25 million

∵ P = R - 10

- Substitute the value of R in the equation

∴ P = 25 - 10

∴ P = 15

∴ The profit is $15 million

The profit is $15 million when revenue is $25 million

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Help me !?! I don’t get it

Answers

Answer:

11) x = 11

12) x = 11

Step-by-step explanation:

11) Δ RQP and Δ RLK are similar.

Hence, the ratios of the corresponding sides of the two triangles will be constant.

So, [tex]\frac{RK}{PR} = \frac{RL}{QR}[/tex]

⇒ [tex]\frac{x - 4}{49} = \frac{11}{77}[/tex]

⇒ [tex]\frac{x - 4}{49} = \frac{1}{7}[/tex]

⇒ x - 4 = 7

x = 11 (Answer)

12) Δ QRS and Δ QDC are similar.

So, [tex]\frac{QD}{QR} = \frac{QC}{QS}[/tex]

⇒ [tex]\frac{2x - 14}{32} = \frac{6}{24}[/tex]

⇒ 2x - 14 = 8

⇒ 2x = 22

x = 11 (Answer)

Jim currently has 1,250 in his bank account and Sally has 1,400 her bank account. Jim deposits 27,50 per week and Sally deposits 20 per week into her account. After how many weeks will they have the same amount of money?

Answers

Answer:

In 20 weeks they will have the same amount of money.

Step-by-step explanation:

ABCD is a parallelogram. Find the measure of B.

Answers

Answer:

∠B = 130°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, thus

∠D = ∠B, that is

10x - 20 = 9x - 5 ( subtract 9x from both sides )

x - 20 = - 5 ( add 20 to both sides )

x = 15

Hence

∠B = 9x - 5 = (9 × 15) - 5 = 135 - 5 = 130°

Answer:

15

Step-by-step explanation:

9x-5=10x-20

X-20=-5

X=15

The price for an item was first increased by 10% and then increased by 20%. In percent, what discount should be applied so that the price would become its original amount?

Answers

Answer:

24.(24)

Step-by-step explanation:

(x+x/10)+x/5=x*24.(24)%

determine which ratio form a proportion with 8/3 by finding a common multiplier

Answers

Answer:

hope it helps :):):)

Step-by-step explanation:

you need to find the common number for both numerator and denominator to multiply to  

the answer will be 72/27

where by multiplying 8 and 3 by 9 gives us 72/27

To find a ratio that forms a proportion with 8/3, a common multiplier needs to be applied. Examples or cross-multiplication can be used to confirm whether two ratios are proportional by comparing products or multipliers.

To determine which ratio forms a proportion with the ratio 8/3, we need to find a common multiplier that can be applied to 8/3 to get the other ratio. A proportion occurs when two ratios are equal to each other after a certain multiplier is applied. To demonstrate this with an example, if we have a ratio of x/y that we want to be proportional to 8/3, we are looking for a multiplier 'k' so that x/y = k*(8/3).

Let's use a concrete example.

If we take the ratio 16/6, we might suspect that this forms a proportion with 8/3.

By finding a common multiplier, we can show this by dividing each part of the second ratio by the corresponding part of the first ratio (16/8 and 6/3) to see if they equal the same number.

In this example, both 16/8 and 6/3 result in the multiplier 2, confirming that 16/6 is proportional to 8/3.

Another way to approach this is to form a cross-multiplication.

If we cross-multiply 8/3 and x/y and both x times 3 and y times 8 yield the same product, then the ratios form a proportion.

For example, 8/3 and 16/6 would form a cross-multiplication of 8*6 and 3*16, both of which are equal to 48, thus confirming the proportionality.

what number is 84% of 106?​

Answers

89.04 is 84% of 106

106*.84=106

Answer:

89.04

Step-by-step explanation:

[tex]_{\bold{METHOD\ 1}}\\\\\begin{array}{ccc}100\%&-&106\\\\84\%&-&x\end{array}\qquad\text{cross multiply}\\\\\\100x=(84)(106)\\\\100x=8904\qquad\text{divide both sides by 100}\\\\\dfrac{100x}{100}=\dfrac{8904}{100}\\\\x=89.04[/tex]

[tex]_{\bold{METHOD\ 2}}\\\\p\%=\dfrac{p}{100}\to84\%=\dfrac{84}{100}=0.84\\\\84\%\ of\ 106=0.84\cdot106=89.04[/tex]

ANYONE GOOD AT FINDING RHOMBUS??​

Answers

Answer:

x = 3

Step-by-step explanation:

The diagonals of a rhombus bisect each other at right angles, thus

BE = ED, that is

4x + 2 = 3x + 5 ( subtract 3x from both sides )

x + 2 = 5 ( subtract 2 from both sides )

x = 3

Answer:x=3

Steps:

Since diagonals of rhombus bisect each other,

AC bisects BD into two equal parts

ie,

⇒BE=ED

⇒4x+2=3x+5

⇒4x-3x=5-2

x=3

what is the y-intercept of the points (-3, 2) and (-2, -4) ?

Answers

Answer: -16

Step-by-step explanation:

slope=rise/run

slope=2-(-4)/-3-(-2)=6/-1=-6

y=mx+b

2=(-6)-3+b

b=-16

Answer:

3_561938 you are your

Step-by-step explanation:

3AM said

A pan of brownies was left out on the counter and 1/4 of the brownies had alreary been eaten. Then John came along and ate 2/3 of the brownies that were left. How much of the whole pan of brownies did John eat?

Answers

Answer:

1/4 of the brownies were eaten

there were 1 - 1/4 = 3/4 of brownies left

2/3 of the 3/4 were eat or: (2/3)(3/4) = 1/2 of the whole pan of brownies were eaten

the total of brownies eaten is: 1/4 + 1/2 = (1*1 + 2*1)/4 = 3/4 of the whole pan of brownies were eaten.Step-by-step explanation:

Final answer:

John ate half or 50% of the original whole pan of brownies. This is calculated by multiplying 3/4 (the remaining brownies after 1/4 had been eaten) by 2/3 (the fraction John ate of the remaining amount).

Explanation:

Firstly, the question pertains to the proportion of brownies that were consumed. Initially 1/4 of the brownies were eaten, implying that 3/4 of the brownies were left on the counter. John ate 2/3 of the remaining brownies, so we will calculate 2/3 of 3/4 to determine how much of the whole pan of brownies John ate:

Step 1: Convert 3/4 and 2/3 to decimal points (0.75 and 0.67 respectively).

Step 2: Multiply 0.75 (the remaining brownies) by 0.67 (the fraction that John consumed). This equals approximately 0.50.

Step 3: The result 0.50 implies that John consumed 50% or half of the original brownies amount.

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Choose the statement beloe that lists the sides in order from Least to Greatest.

A.) SU, TU, ST
B.) TU, ST, SU
C.) TU, SU, ST
D.) ST, SU, TU​

Answers

Option A: SU, TU, ST is the right answer

Step-by-step explanation:

In a triangle

The largest side and the largest angle are opposite to each otherThe shortest side and the shortest angle are opposite to each other.

So using the above axioms we can observe the triangle.

The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largestThe smallest angle is m∠T = 25° so the shortest side is SU The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°

So the sides in order from least to greatest are: SU, TU, ST

Hence,

Option A: SU, TU, ST is the right answer

Keywords: Geometry, Triangles

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Which list contains only integers that are NOT also whole numbers?
F 4,-2, 0, 2,4
G-8, -6, -4,-2
H 2, 4, 6,8
J 1/8, 1/6, 1/4, 1/2

Answers

Answer:

G -8, -6, -4, -2

Step-by-step explanation:

integers are ...-2,-1,0,1,2,3 ... and so on but

whole numbers are 1,2,3,4,5,6 ... so on

so the only one thats right is the negative numbers


Find the distance between the two points in simplest radical form.
(5,−9) and (−3,−1)

Answers

Answer:

The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4[tex]\sqrt{8}[/tex]

Step-by-step explanation:

Given points as :

Point A = ( 5 , - 9 )

I.e (x_1 , y_1) = ( 5 , - 9 )

Point B = ( - 3 , - 1 )

I.e( x_2 , y_2) =  ( - 3 , - 1 )

Let The distance between points A and B = AB

So From distance formula

Distance AB = [tex]\sqrt{(y_2 - y_1)^{2} + (x_2 - x_1)^{2}}[/tex]

So, Distance AB = [tex]\sqrt{( - 1 + 9)^{2} + ( - 3 - 5)^{2}}[/tex]

Or, Distance AB = [tex]\sqrt{(8)^{2} + (- 8)^{2}}[/tex]

Or, Distance AB = [tex]\sqrt{64 + 64}[/tex]

Or, Distance AB = [tex]\sqrt{128}[/tex]

∴ Distance AB = 4[tex]\sqrt{8}[/tex]

Hence The distance between the points ( 5 , - 9 ) and ( - 3 , - 1 ) is 4[tex]\sqrt{8}[/tex]  Answer

Answer:

8√2

Step-by-step explanation:

delta math gave me the right answer after I got it wrong

PLEASE HURRY!!
Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
30 miles from the town and is 48 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y =
8x+ 20.
Whích balloon was farther from the town at the beginning, and which traveled
more quickly?
O
A. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.
O
B. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly.
O
C. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
O
D. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.​

Answers

Final answer:

Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

Explanation:

To determine which balloon was farther from the town at the beginning, we need to compare the initial distances of Henry's and Tasha's balloons from the town. Henry's balloon begins 30 miles from the town, while Tasha's balloon is represented by the function y = 8x + 20, where x is the time in hours. Plugging in x = 0 into the function, we can find that Tasha's balloon was 20 miles from the town at the beginning.

To determine which balloon traveled more quickly, we can compare their speeds. Henry's balloon travels at a constant speed of (48 miles - 30 miles) / 2 hours = 9 miles/hour. Tasha's balloon has a constant speed of 8 miles/hour since it follows the equation y = 8x + 20. Therefore, Henry's balloon traveled more quickly.

Therefore, the correct answer is OC. Henry's balloon was farther from the town at the beginning, but Tasha's balloon traveled more quickly.

Solve the system using elimination.
3x + 5y = 55
5x + 4y = 57

Answers

Answer:

x=5, y=8. (5, 8).

Step-by-step explanation:

3x+5y=55

5x+4y=57

---------------

5(3x+5y)=5(55)

-3(5x+4y)=-3(57)

-------------------------

15x+25y=275

-15x-12y=-171

---------------------

13y=104

y=104/13

y=8

3x+5(8)=55

3x+40=55

3x=55-40

3x=15

x=15/3

x=5

which of the following is not a condition of the binomial distribution? ​

Answers

sampling at least 10 trials
Final answer:

Conditions of the binomial distribution include a fixed number of independent trials, each trial having two possible outcomes, and constant probabilities of success and failure. Experiments that do not meet these conditions do not follow a binomial distribution. For example, if the probability of success varies across trials, it's not a binomial distribution.

Explanation:

The binomial distribution has several key conditions, and a statistical experiment is classified as a binomial experiment if it meets these conditions. Some of these conditions include the following:

There is a fixed number of trials, often denoted with the letter 'n' Each trial is independent, meaning the result of any one trial does not affect the results of the following trials Each trial has only two possible outcomes: success and failure The probability of success (denoted 'p') and failure (denoted 'q') are consistent across trials

Therefore a circumstance not meeting these conditions would not fit the binomial distribution. For example, if the conditions for each trial are not consistent, such as the probability of success changes from trial to trial, then it would not be classified as a binomial distribution.

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Renae likes to make pizza dough on the weekends.She has 3 3/4 cups of flour.She needs 3/8 of a cup of each pizza.How many whole pizzas can she make?

Answers

Answer:

10

Step-by-step explanation:

3 3/4=15/4

(15/4)/(3/8)=(15/4)(8/3)=30/3=10

Ben, Shaneeka, and Phil live on the same street. Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka. How far does Shaneeka live from Phil?

Answers

Answer:

Shaneeka live from Phil 7/33 mile far.

Step-by-step explanation:

Given:

Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.

Now, to get how far does Shaneeka live from Phil.

So, by subtracting the distance from  6/11 mile north where Ben lives from Phil to  1/3 mile north where Ben lives from Shaneeka:

[tex]\frac{6}{11} -\frac{1}{3}[/tex]

[tex]=\frac{6\times 3 -1\times 11}{33}[/tex]

[tex]=\frac{18-11}{33}[/tex]

[tex]=\frac{7}{33}[/tex]

Therefore, Shaneeka live from Phil 7/33 mile far.

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

Answer: y = x/3

Have a nice day!

Answers

Answer:

[tex]\displaystyle y = \frac{1}{3}x[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}[/tex]

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

4

[tex]\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x[/tex]

_______________________________________________

−3 = ⅓[−9] + b

3

[tex]\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x[/tex]

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

Answer:

The answer is...

Step-by-step explanation:

y = 1/3x

--or--

y = x/3

Both forms of writing are equivalent, so either choice would be correct. I hope this helps!

school started at 8:05 a.m and ended at 2:40p.m. the work below shows Erica's calculation of the length of the school day


Which two errors did erica make

A.She subtracted instead of adding the times
B.She subtracted the end time from the start time
C.She did not regroup on hours for 60 minutes to subtract the minutes
D.she did not account for a.m. and p.m. in the start and end times.
E.see switch to hours and minutes in both the start and end times

Plz help▪~▪​

Answers

Answer:

B. She subtracted the end time from the start time and

D. She did not account for a.m. and p.m. in the start and end times.

Step-by-step explanation:

The school started at 8:05 a.m. and ended at 2:40 p.m.

And the length of the school day is calculated by Erica and it is shown in the attached photo.

See the attached photo.

Erica has done two errors which are  

B. She subtracted the end time from the start time and  

D. She did not account for a.m. and p.m. in the start and end times. (Answer)

5x + 9 = x - 23 find X​

Answers

5x + 9 = x - 23

move x to the other side

sign changes from +x to -x

5x-x+9= x-x-23 ( combine like terms)

5x-x+9= -23

4x+9= -23

move -9 to the other side

4x+9-9= -23-9

4x= -23-9

4x= -32

divide both sides by 4 to get x by itself

4x/4= -32/4

answer:

x= -8

What addition problem with two complex number would give me a sum of 12 + 8i

Answers

Answer:

Multiply i and 8

Multiply i and 1

The i just gets copied along.

The answer is i

i

8*i evaluates to 8i

12+8*i evaluates to 12+8i

The final answer (almost!) is

12+8i

Now, let's simplify the i's to get our final answer:

The i in 8i cannot be simplified, so just leave it as is.

The final answer is

12+8i

Step-by-step explanation:

Hay coats $5.50 per bale. The delivery fee is $15. How much does it coat to have 200 bales oh hay delivery?

Answers

it would cost $1,115 to have 200 bales of hay delivered.

hope this helps!

Answer:

1115 is what I got im pretty sure im right because after I finished I checked my calculator. This is how you get it. You do 5.50 times 200. then you add 15. Simple. :)

5.49 EE14
SCIENTIFIC
SONIC
SIN!
COS
TANY
and
SNSA Cos I TANKOFF in standard form​

Answers

Answer:

5.555.5 im pretty sure

I think it is 5.555.5

Page 1
Question 9 of 10
Richard and Spiro are plumbers. For a big job at Mr.
White's house, Richard said he would charge $45
per hour. Spiro said he would charge $150 for parts
and $35 per hour of work.
After how many hours of work would both plumbers
charge the same amount of money for the job?

Answers

Answer:

15 hours of work would both plumbers  charge the same amount of money for the job.

Step-by-step explanation:

Let us assume the number of hours Richard works = m

Per hour charge = $45

So, the charge for working m hours = m x $45 = 45 m ....... (1)

Let us assume the number of hours Spiro works = m

Per hour charge = $35

So, the charge for working m hours = m x $35 = 35 m

Also, the charge for parts = $150

So, total amount Spiro charges  = Cost for m hours  +  Charge for parts

= 35 m + $150 ......  (2)

Now, for m hours as they charge the SAME AMOUNT.

⇒ From (1) and (2), we get

45 m = 35 m + $150

or, 45 m - 35 m = 150

or, 10 m = 150

⇒ m = 150/10 = 15

or, m = 15

Hence, 15 hours of work would both plumbers  charge the same amount of money for the job.

What is the slope of this graph?


−3

−13

3

13

Answers

Answer:

-3

Step-by-step explanation:

start at the y axis where x= 0, go over one and down till your reach the next intersection of the graph, this is over one down three, or -3 for every x over

Use the Distributive Property to solve the equation 25 – (3x + 5) = 2(x + 8) + X.
Solve the equation.
25 - 75 x - 125 = 2x + 16 + x
20- x= x+
20- __*=
x = - 4
x=1
(Type integers or fractions.)​

Answers

The value of x is 2/3.Distributive property states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend by the number separately and then adding the results together.

Distinguish distributive property?

This property states that multiplying the total of two or more addends by a number will produce the same result as multiplying each addend by the number separately and then adding the results together.

Mathematically, the distributive law, also known as the distributive property, is the rule relating the operations of multiplication and addition. It is denoted by the symbol a(b + c) = ab + ac, which means that the monomial factor an is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab +...

Explanation in detail:

25-(3x+5)=2(x+8)+x \s 25-3x-5=2x+16+x

20-3x=3x+16

20-3x-3x=16

20-6x=16

6x=20-16

6x=4

x=4/6

simplify is x = 2/3 .

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You are applying for an 80/20 mortgage to buy a house costing $175,000.
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What will the total
amount of the mortgage be?

Answers

Answer:

The total amount of the mortgage is $ 871879.4

Step-by-step explanation:

Given as :

The cost of house = $ 175,000

The first 80% of mortgage amount = 80% of $ 175,000 = 140,000

The second 20 % of mortgage amount =  20% of $ 175,000 = 35,000

The rate of interest for 80 % mortgage = 4.75 %

The rate of interest for 20 % mortgage = 7.525 %

The time period for both mortgage is 30 years

Let The amount at 80 % mortgage = [tex]A_1[/tex]

And The amount at 20 % mortgage = [tex]A_2[/tex]

So, From compounded method

[tex]A_1[/tex] = principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

or, [tex]A_1[/tex] = 140,000 × [tex](1+\dfrac{\textrm 4.75}{100})^{\textrm 30}[/tex]

Or,  [tex]A_1[/tex] = 140,000 × [tex](1.0475)^{30}[/tex]

Or,  [tex]A_1[/tex] = 140,000 × 4.02365

Or, [tex]A_1[/tex] = $ 563311

Again

[tex]A_2[/tex] = principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

or, [tex]A_2[/tex] = 35,000 × [tex](1+\dfrac{\textrm 7.525}{100})^{\textrm 30}[/tex]

Or,  [tex]A_2[/tex] = 35,000 × [tex](1.07525)^{30}[/tex]

Or,  [tex]A_2[/tex] = 35,000 × 8.81624

Or, [tex]A_2[/tex] = $ 308568.4

∴ Total amount A =  [tex]A_1[/tex] +  [tex]A_2[/tex]

I.e A = $ 563311 + $ 308568.4 = $ 871879.4

Hence The total amount of the mortgage is $ 871879.4  answer

Answer:351,226.80

Step-by-step explanation:

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