A new car is purchased for 18,000 dollars. The value of the car depreciates at 11.5% per year. What will the value of the car be, to the nearest cent, after 10 years?

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

Answer:

Step-by-step explanation:

commission amount = 4 % of Rs 65000

=4/100 * 65000

=260000/100

=2600

therefore commision amount is Rs 2600

SP od an article = Rs 2700

profit %=8%

let CP be x

SP=CP + profit% of CP

2700=x + 8/100 *x

2700=100x + 8x/100

2700*100 = 108x

270000=108x

270000/108=x

2500=x

therefore cost price (CP) of an article is Rs 2500.

Answer:

x+5y >5 => red

y< 2x+4 => blue

Step-by-step explanation:

you can substitute x and y in each inequality to determine

Answer:

jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.

Step-by-step explanation:

5-2=3

3-1=2

8-4=4

Answer:

jeff 3 apples, kyle 2 apples, kelsea 4 apples

total apples left = 9 apples

total apples eaten = 7 apples

total apples = 16 apples

Step-by-step explanation:

Answer:

4.375

Step-by-step explanation:

s=1/t

s=k/t

0.5=k/7

k=7x0.5=3.5

s=3.5/0.8

s=4.375

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

Answer:

is it timed, because i need like 20 mins to answer this question.

Step-by-step explanation:

Answer:

m<ACB  = 59degrees

Step-by-step explanation:

To get <ACB, first we need arcAB

arcAB + arcAC + arcBC = 360

arcAB + 89 + 153 = 360

arcAB+242 = 360

arcAB = 360 - 242

arcAB = 118

Also, m<ACB = 1/2arcAB

m<ACB = 1/2*118

m<ACB  = 59degrees

Answer:

remainder = 2

Step-by-step explanation:

A polynomial f(x) is divided by (x - a) then the remainder is f(a)

Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)

f(2) = 4(2)³ - 5(2)² + 2(2) - 14

      = 4(8) - 5(4) + 4 - 14

      = 32 - 20 - 10

      =  12 - 10

      = 2

Answer:

32 medals

Step-by-step explanation:

Given that

The team wons 80 medals

out of which 25% is gold

35% is silver

and rest is bronze

we need to find out the number of bronze medals that win by the team

The total percentage is 100

So, the remaining percentage is

= 100 - 25 - 35

= 40%

So, the number of bronze medal should be

= 40% of 80 medals

= 32 medals

Answer:

1/14

Step-by-step explanation:

Given:

The equation is:

[tex]\sqrt{x+7}+5=x[/tex]

To find:

Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.

Solution:

We have,

[tex]\sqrt{x+7}+5=x[/tex]

Subtract 5 from both sides.

[tex]\sqrt{x+7}=x-5[/tex]

Taking square on both sides, we get

[tex]x+7=(x-5)^2[/tex]

[tex]x+7=x^2-10x+25[/tex]

[tex]0=x^2-10x+25-x-7[/tex]

[tex]0=x^2-11x+18[/tex]

Splitting the middle term, we get

[tex]x^2-2x-9x+18=0[/tex]

[tex]x(x-2)-9(x-2)=0[/tex]

[tex](x-2)(x-9)=0[/tex]

[tex]x=2,9[/tex]

Now, substitute [tex]x=2[/tex] in the given equation.

[tex]\sqrt{2+7}+5=2[/tex]

[tex]\sqrt{9}+5=2[/tex]

[tex]3+5=2[/tex]

[tex]8=2[/tex]

This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.

Substitute [tex]x=9[/tex] in the given equation.

[tex]\sqrt{9+7}+5=9[/tex]

[tex]\sqrt{16}+5=9[/tex]

[tex]4+5=9[/tex]

[tex]9=9[/tex]

This statement is true. So, 9 is a solution of given equation.

Therefore, 2 is an extraneous solution and 9 is a solution of given equation.

Answer:

a. Total of 45 students.

b. 18 Boys.

Answer:

There are 45 students and 18 boys in the class

Answer:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

Answer:

Step-by-step explanation:

2a^2b + 6ab^2

take common

2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.

total we can take

2ab as common.So,

2ab(a+3b)

therefore 2ab(a+3b) is the required answer.

The required factorization is  2ab(a+3b).

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Expanding brackets in reverse is a procedure known as factorizing.

Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.

Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.

We have, 2a²b + 6ab²

Here,

we have the highest common factor 2ab,

So, 2ab (a + 3b)

Therefore, 2ab(a+3b) is the required factorization.

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Answer: (-1,1)

Step-by-step explanation: Look at the intersection point of the lines

Answer:

{15, 16} or {-15, -16}

Step-by-step explanation:

Quick solution:

take half of the sum (approx. 240), sqrt(240)=15.5

So the numbers are 15 and 16.  and also the negative equivalents since squares are always positive.

Exact method:

Let

x=smaller integer,

x+1 = next integer.

sum:

x²⁺(x+1)^2 = 481

2x^2 + 2x + 1 = 481

2x^2 + 2x - 480 = 0

x^2 + x -240 = 0

x = 15 or x = -16

so the integers are

either

{15, 16} or {-15, -16}

The sum of the squares of two consecutive integers is 481 will be -15 & -16 and 15 and 16.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Successive numbers are those that follow one another continually, from lowest to biggest. For instance, the numbers 1, 2, 3, 4, 5, and so on are all consecutive.

Assume 'x' is the number and the successive number is (x + 1).

The sum of the square of the consecutive number is 481. Then the equation of the number is given as,

x² + (x + 1)² = 481

Simplify the equation, then we have

x² + (x + 1)² = 481

x² + x² + 2x + 1 = 481

2x² + 2x - 480 = 0

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

x(x + 16) - 15(x + 16) = 0

(x + 16)(x - 15) = 0

x = 15, -16

Then the successive numbers are given as,

x + 1 = 15 + 1

x + 1 = 16

x + 1 = - 16 + 1

x + 1 = - 15

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Answer:

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=15;x+y=6

Rewrite equations:

x+y=6;2x+3y=15

Step: Solvex+y=6for x:

x+y=6

x+y+−y=6+−y(Add -y to both sides)

x=−y+6

Step: Substitute−y+6forxin2x+3y=15:

2x+3y=15

2(−y+6)+3y=15

y+12=15(Simplify both sides of the equation)

y+12+−12=15+−12(Add -12 to both sides)

y=3

Step: Substitute3foryinx=−y+6:

x=−y+6

x=−3+6

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=3

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

2x + 3y = 15 → (1)

x + y = 6 → (2)

Multiplying 2) by - 2 and adding to (1) will eliminate x

- 2x - 2y = - 6 → (3)

Add (1) and (3) term by term to eliminate x

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

2x + 3(3) = 15

2x + 9 = 15 ( subtract 9 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Answer:

about 22 square units

Step-by-step explanation:

sana makatulong

Answer:

C: About 22 square units

Step-by-step explanation:

YW

Answer:area of the circle=πr²

3.14 =3.14 ×r²

r²= 1

r. =1 millimeters

Answer:

[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]

Answer:

circumference=10.05 m

Step-by-step explanation:

radius =diameter/2

=3.2/2

=1.6 m

circumference=2πr

=2*3.14*1.6

=10.048 m

=10.05 m

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at Midnight = -1°C

Temperature at 7.00am = 21/10 + (-1°C)

= 11/10°C

Answer:

105 minutes

Step-by-step explanation:

[tex]1 \frac{3}{4} = 1 hour + \frac{3}{4} hour[/tex]

1 hour = 60 minutes

[tex]\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes[/tex]

[tex]Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes[/tex]

The values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes [tex]1\dfrac{3}{4}[/tex] hours to cook a large chicken in the oven.

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 60 minutes + 45 minutes

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 105 minutes

Hence, the values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

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Answer:

k = 0.04205029854

k = 4.205029854%

Step-by-step explanation:

13400 = 8800(e)^10(k)

ln 1.52 = 10k ln e

(ln 1.52)/ 10 = k

Answer:

The interest rate would be 4.21%

Answer:

425000×0.0235=9987.5

379000×0.0235=8906.5

9987.5+8906.5=18894 that is the amount he gonna get

Answer:

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Answer:

The students went on vacation for average 40 days.

The high school students went for more days than college students.

Step-by-step explanation:

The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.