If the principal is $612 and the rate of interest is 2.85%, what is the amount of interest after eight years?

Answer:

Step-by-step explanation:

12:18

can both be divided by 6

answer is 2:3

Answer:

6:9

Step-by-step explanation:

that's the simplest form

Answer:

y = 2x - 12 or A

Step-by-step explanation:

6x - 3y = 36                        Subtract 6x from both sides.

-3y = 36 - 6x                       Divide by - 3

-3y/-3 = 36/-3 - 6x/-3

y = -12 + 2x

The answer is A

Answer: Slope= 0.833/2.000= 0.417

​

Step-by-step explanation:

Answer:

x=12/5y+24/5

Step-by-step explanation:

5x-12y=24

add 12y to both sides

problem comes down to 5x=12y+24

divide everything by 5

Answer:

56

Step-by-step explanation:

Answer:

the answers are bolded below!

Step-by-step explanation:

1. y-y1=m(x-x1)

line one- 14-4/6-1 = 10/5 = 2

so....     y-1=2(x-4)

simplified     y=2x-7

line two- -2-23/1-6 = -25/5 = -5

so.....      y-6=-5(x-23)

simplified         y=-5x+121

b- they will intersect 1 time at (18.2,29.5)

2. No, it the system has infinitely many solutions, then the lines would be on top of each other. But since there are only two solutions, then your answer would not be infinitely many solutions.

3. y=-2x+1. This would not intersect with y=-2x+3 because they are parallel. the slopes are the same so they will each travel at the same rate but they have different y intercepts.

4. y=-2x+7 ------> x=-1/2y-7/2

y=-3(-1/2y+7/2)+8  -----> y=5

y=-2x+7 --->   5=-2x+7  ----> x=1

one solution at (1,5) because f graphed, the lines would only intersect once.

b- x=5

3x-y=5   --->   3(5)-y=5   --->   y=10

one solution at (5,10) because f graphed, the lines would only intersect once.

c- no solutions because if it were to be graphed, the lines would not intersect at all.

d- no solutions because if it were to be graphed, the lines would not intersect at all.

e- no solutions because if it were to be graphed, the lines would not intersect at all.

i am in algebra two so you can trust my answer. If you need more help lmk in the comments. Happy holidays and stay safe!

Answer:

∠m = 84º

Step-by-step explanation:

48 + 48 + x = 180

96 + x = 180

x = 84º

hope this helped!

Answer:

∠m = 84º

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

If one were to fold this figure in half over the line x = 0, then one would end up with a single figure, with no overhang. Hence x = 0 is the line of symmetry. Note; x = 0, can also be called the y-axis.

Answer:

Option D) x = 0

Step-by-step explanation:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. Here we see that the object's Axis of symmetry is the line x =0

The line x = 0,1,2,3,4,5,..... and so on are all vertical lines and

The line y=0,1,2,3,4,5,..... and so on are all horizontal lines

In this this case the line x = 0 is the Axis of symmetry which divides the object in two equal halves.

Answer:

$15

Step-by-step explanation:

Total distance to be covered = 150km

Fuel efficiency = 6 km per l

150 / 6 = 25

Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel

= 25 x 0.6

= 15

Answer:

A

Step-by-step explanation:

Answer:

c x-110

Step-by-step explanation:

if im wrong im so sorry

Answer:

Rs 20000

Step-by-step explanation:

Let the sum is x.

The rate of interest, r=20%=0.2

Time, t=2 years.

Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]

The value of n when compounded annually, n=1

So, the total amount,

[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]

The compound interest when compounded annually,

[tex]I_1 =x(1.2)^2-x[/tex]

The value of n when compounded semi-annually, n=2

So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]

The compound interest when compounded semi-annually,

[tex]I_2 =x(1.1)^4-x[/tex]

As the difference between the annual and semi-annual compound interest on  x amount of money is Rs 482, so

[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]

x=20000

Hence, the sum is Rs 20000.

Step-by-step explanation:

a(n) = a +(n-1)d

d=1/4 -1/2 =-1/4

°.° a(15) = 1/2 +(15–1) -1/4

a(15) = 1/2 -3.5

        =-3

hope it will help

Answer:

There are 10 boys and 6 girls in the class

Step-by-step explanation:

The given parameters are;

The number of boys = The number of girls + 4

The number of students in the class = 16

Let x represent the number of girls in the class and let y represent the number of boys in the class

Therefore;

y = x + 4...(1)

x + y = 16...(2)

Making y the subject of equation (2) gives;

y = 16 - x

Equating the values of y from equation (1) and equation (2) gives;

x + 4 = 16 - x

Which gives;

2·x = 16 - 4 = 12

x = 12/2 = 6

x = 6

The number of girls = x = 6

From equation (1), we have;

y = x + 4 = 6 + 4 = 10

y = 10

The number of boys = y = 10.

Answer:

45% of the mangoes are bad.

Step-by-step explanation:

Given that:

Number of mangoes in basket = 40

Number of good mangoes = 22

Number of bad mangoes = Total mangoes - Good mangoes

Number of bad mangoes = 40-22

Number of bad mangoes = 18

Percent of bad mangoes = [tex]\frac{bad\ mangoes}{total\ mangoes}*100[/tex]

Percent of bad mangoes = [tex]\frac{18}{40}*100[/tex]

Percent of bad mangoes = 0.45*100 = 45%

Hence,

45% of the mangoes are bad.

Answer:

C

Step-by-step explanation:

amd merry Christmas to you too

Answer:

its C.

Step-by-step explanation:

Answer:

y=1 x=9

Step-by-step explanation:

-4(9y) + y = -35

-36y+y=-35

-35y= -35

y=1

To check-

-4(9) + 1 = -35

-36 + 1 =-35

Answer:

[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]

[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]

[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]

[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]

[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]

[tex]\therefore\sf f (-7)=48 [/tex]

Answer:

:⟶f(x)=6(1−x)

{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))

{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)

{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)

{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48

\therefore\sf f (-7)=48∴f(−7)=48

Answer:

0.125 feet

75/60 to get minutes

0.02/60 to get seconds

multiply by 6

Step-by-step explanation:

Answer:

The answer is Q

Step-by-step explanation:

√10= 3.16

Answer:

0.25

Step-by-step explanation:

1.75/7 would equaln0.25, use your calculator if you have one

The decimal 1.75 when divided by the number 7 gives the decimal 0.25.

In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.

The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.

The decimal 1.75 can be written as a fraction as follows:

[tex]1.75 = \dfrac{175}{100}[/tex]

      [tex]= \dfrac{7}{4}[/tex]

To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.

[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]

Thus, 0.25 is 1.75 divided by 7.

Learn more about Decimal here:

https://brainly.com/question/33109985

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Answer:

Yes.

Step-by-step explanation:

It is given that, A sponge can filter 8 liters of water in 10 hours or 12 liters in 15 hours.

8 L = 10 h

1 h = [tex]\dfrac{10}{8}[/tex] = 1.25 h

or

12 L = 15 h

1 h = [tex]\dfrac{15}{12}[/tex] = 1.25 h

Hence, this relationship is proportional.

Answer:

y = 12 [tex](2.9)^{x}[/tex]

Step-by-step explanation:

The standard form of the exponential function is

y = a [tex](b)^{x}[/tex]

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so

a = 12, then

y = 12 [tex]b^{x}[/tex]

Using (1, 34.8 ) , then

34.8 = 12 [tex]b^{1}[/tex] ( divide both sides by 12 )

b = 2.9

Thus exponential function is

y = 12 [tex](2.9)^{x}[/tex]

Answer:

Answer: B.-1/2

Step-by-step explanation:

Answer:

9 rings

Step-by-step explanation:

Given that :

Number of days until craft sale = 91 days

Number of rings required to make before sale = 817 rings

If same number of rings is made per day;

Number of Daily ring production will be ;

817 / 91

= 8.978 rings

= 9 rings (approximately)

Answer:

A

Step-by-step explanation:

b is the range

Answer:

35 cm

Step-by-step explanation:

Diameter of small pizza = 16

Let Diameter of large pizza = x

Diameter of small pizza = 2/5(x) + 2

2/5(x) + 2 = 16

(2x / 5) + 2 = 16

2x / 5 = 16 - 2

2x / 5 = 14

multiply both sides by 5

2x = 14 * 5

2x = 70

Divide both sides by 2

x = 70/2

x = 35

Diameter of large pizza = 35 mm

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

-6x       -6x

-8 = -2x

-----------

    -2

x = 4

Answer:

D

Step-by-step explanation:

P prime of t indicates a rate of change

The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5

Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Learn more about the rate of change here: https://brainly.com/question/13103052

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Answer:

No

Step-by-step explanation:

Speed = Distance/Time

andre: 2km/15min = 4.97097

jada: 3km/20min = 5.59234

jada ran faster

9514 1404 393

Answer:

  D.  Multiply the top equation by 3 and the bottom equation by 4.​

Step-by-step explanation:

If you're using subtraction, you want the coefficients of one of the variables to be the same in both equations. If the variable you choose is x, then you need to multiply the top equation by the coefficient of x in the bottom equation (3), and the bottom equation by the coefficient of x in the to equation (4). Doing this will make both x-coefficients equal to 3×4 = 12. In short, ...

  Multiply the top equation by 3 and the bottom equation by 4.​

Answer:

x=15

Step-by-step explanation: