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The simplest ratio is 4:9

Given:

Purchasing price = 6.1 lakh

Amount spent of repair = 30000

Selling price = 8 lakh

To find:

The gain percentage.

Solution:

We have,

Purchasing price = 6.1 lakh

Amount spent of repair = 30000 = 0.3 lakh

So, total cost price is

[tex]C.P.=6.1+0.3[/tex]

[tex]C.P.=6.4[/tex]

The total cost price is 6.4.

Selling price(S.P.) = 8 lakh

Now,

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{8.0-6.4}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1.6}{6.4}\times 100[/tex]

[tex]Gain\%=\dfrac{1}{4}\times 100[/tex]

[tex]Gain\%=25\%[/tex]

Therefore, the gain percent is 25%.

Answer:

Attached please find answer

Step-by-step explanation:

= (x² + x - 42) / (x - 6)

= [x² + (7x - 6x) - 42] / (x - 6)

= [x² + 7x - 6x - 42] / (x - 6)

= [(x² + 7x) - (6x + 42)] / (x - 6)

= [x(x + 7) - 6(x + 7)] / (x - 6)

= [(x + 7)(x - 6)] / (x - 6)

= x + 7 → when x approches 6

= 6 + 7

= 13

Other method:

Lim   (x² + x - 42) / (x - 6)

x→ 6

When x → 6, there is an indeterminate expression because: 6 - 6 = 0

Do you know the l'Hôpital's rule, when x → a:

Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]

f(x) = x² + x - 42

f'(x) = 2x + 1

g(x) = x - 6

g'(x) = 1

= f'(x) / g'(x)

= (2x + 1)/1

= 2x + 1 → when x approches 6

= 12 + 1

= 13

Answer:

43

Step-by-step explanation:

65-15/5+(-19)

65-3+(-19)

62-19=43

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

Amon the following situation 2 cases follow the general rule for basis of inherited property

Given , Statements of inheritance.

1. Louis died on August 12. 2019 leaving his house to his sister, Etty.

2. On August 15, 2018, Leroy give his brother Ralph appreciated stock. Leroy's brother died on February 16, 2019, Ralph's only heir was Leroy.

3.Mick died on June 30, 2019. He named his brother Emmett as the beneficiary of his 401(k) plan.

This is also a case of inheritance but not the case of inheritence of property. Retirement Savings account is not considered as property.

4.Janet died January 1, 2019. At that time, she had a IRA with balance of $32640. She named her daughter, Emily, as the beneficiary of her IRA.

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Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

Answer:

0.075

Step-by-step explanation:

3/40 = 0.075

hope it help u

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Answer:

f(x)=25x+120. f(10)=370

Answer:

Step-by-step explanation:

f(10)= Which Is 25. This means that he will have saved $250 in 10 weeks. The couch costs $475 whis is $225 more than $250

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

Answer:

the proportion of workers from company B who purchsed coffee was pˆC=0.75

Step-by-step explanation:

Answer: pˆC=0.75

Step-by-step explanation:

Answer:

I think it's the second one(200(1.034)t = 250)

Step-by-step explanation:

if not correct me. or try the third one.

[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]

Answer:

It’s the last one

Step-by-step explanation:

Plz mark me brainliest

Answer: y = 5/2x - 4

Step-by-step explanation:

the equation is y = ax + b (a ≠ 0)

because the slope of the line is 5/2 => a = 5/2

               the line passes through (0; -4) => -4 = b

=> the equation is y = 5/2.x - 4

Answer:

5/12

Step-by-step explanation:

Probability of getting either heads or tails of a coin : 1/2

Probability of getting 1,2,3,4, or 6 on a dice: 5/6

Multiply those two probabilities : 1/2 * 5/6 = 5/12

You have a 5 out of 12 chances of getting heads on a coin AND any number but a 5 on a dice.

Hope this helps!

Answer:

5:2

Step-by-step explanation:

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

=

Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

Answer: 4

Step-by-step explanation:

To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4

Hope this helps ;)

Answer:

4 boys

Step-by-step explanation:

3:1 is the ratio of girls to boys

Lets girls be g and boys be b

G=3

B=1

G=12     12/3=4 and what you do to one side you do to the other it is multiplied by 4 so

B=1 time 4 =4

Answer:

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]

using Heron theorem, we have:

[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]

with S is the area of the triangle

       [tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]

Step-by-step explanation:

Area of the triangle with given vertices is equals to 24 square units.

"Area is the surface which represents the total space occupied by any two dimensional object."

"Triangle is a  polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."

Formula used

In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)

Area of a triangle =  [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]

According to the question,

Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)

Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]

                                 = [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]

                                 = 24 square units

Hence Area of the triangle with given vertices is equals to 24 square units.

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Answer/Step-by-step explanation:

1. Sin A = opp/hyp

Opp = 3

Hyp = 5

[tex] sin(A) = \frac{3}{5} [/tex] (substitution)

[tex] sin(A) = 0.6 [/tex]

2. Sin B = opp/hyp

Opp = 4

Hyp = 5

[tex] sin(B) = \frac{4}{5} [/tex] (substitution)

[tex] sin(B) = 0.8 [/tex]

3. Cos Q = adjacent/hypotenuse

Adjacent = 12

Hypotenuse = 13

[tex] cos(Q) = \frac{12}{13} [/tex] (substitution)

[tex] cos(Q) = 0.9231 [/tex] (4 decimal places)

4. Cos S = adjacent/hypotenuse

Adjacent = 5

Hypotenuse = 13

[tex] cos(S) = \frac{5}{13} [/tex] (substitution)

[tex] cos(S) = 0.3846 [/tex] (4 decimal places)

Answer:

Please check the explanation.

Step-by-step explanation:

Given

First we need to determine the percentage decrease such as:

Percentage decrease = 2.6% of 28

                                     = 2.6/100 × 28

                                     = 0.026 × 28

                                     = 0.73

New value can be determined using the formula

New vaue = 28 - percentage decrease

                 = 28 - 0.73

                 = 27.27

Answer:

38 students chose to fly

Step-by-step explanation:

add the female and male