Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.

Answer:

5$

Step-by-step explanation:

5 divided by 175 is 35

5x35 is 175

Answer:

y= 27-6x

Step-by-step explanation:

For the first equation you add 6x on both sides which will leave us at

-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x

The slope of the function is 2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the table having points (6, 2) and (9, 8).

So, the slope of line

= (8-2)/ (9-6)

= 6 / 3

= 2

So, the slope of line is 2.

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Answer:

x=3.6

Step-by-step explanation:

parentese first so add 34+20= 54

5x54=36

-54=-54

5x= -18

5x/5x -18/5x

x= 3.6

Answer:

(0,0) (3,2) and (-2,-2) (4,2)

Step-by-step explanation:

To find the slope, you do [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex], which would work for both.

2-0/3-0=2/3

2-(-2)/4-(-2)=2+2/4+6=2/3

Answer:

M = 11

Step-by-step explanation:

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

Answer:

16c+24

Step-by-step explanation:

4c+4c+7+7+8c+10=16c+24

Answer:

Step-by-step explanation:

K, but what's the question?

Answer:

60 miles

Step-by-step explanation:

1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.

Tell me if I'm wrong :)

Answer:

I don't know but

1+2=3

3+3=6

6+4=10

10+5=15

if this helps you make any sense of it.. tell me

Step-by-step explanation:

Answer:

These are triangular numbers.

Step-by-step explanation:

The explicit formula for the nth term of the sequence id 1/2n(n+1).

So for, example, the 6th term =  1/2*6(6+1)

= 21.

They all fit exactly into equilateral triangles.

Answer:

[tex]y = + - \sqrt[4]{ \frac{3}{2} x} [/tex]

Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Radius of a circle is the distance from the center of the circle to any point on it's circumference.

The distance across a circle through the centre is called the diameter.

Diameter = 2 × radius

In the given figures, option B has a diameter of 20

so radius = diameter /2

=20/2

=10 units

Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.

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Answer:

$0.29

Step-by-step explanation:

Hello!

All you gotta do is 6.69/24 and it should give you 0.29.

Answer:

h(x) = (1/3)x + 6

Step-by-step explanation:

yeah-ya ....... right?

Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.

Answer:

9 1/3

Step-by-step explanation:

7 - 75%

x - 100%

[tex]\frac{7 * 100}{75} = 9\frac{1}{3}[/tex]

Answer:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Step-by-step explanation:

7 is 75% of What Number? - 7 is 75% of 9.33. 100% of 9.33 is 9.33, therefore 75 percent of 9.33 equals 7.

Answer: Find the formula and there you go

Step-by-step explanation: Each 4 papers = 3 minutes keep adding it until I get near twenty one and don't go over

Answer:

here is the answer

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Answer:

19 minutes

Step-by-step explanation:

30 ft³ = 224.4 Gallons

224.4 gallons / 12 gallons/min

18.7 min

round -- 19 minutes

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

Answer:

100%-35%=75%

so ex-

if ram has an in income is 500

than anil is 35%lower than his so,anil has an income of 350 which is 35%less tan 500.

Answer:

25.9%

Step-by-step explanation:

anil = 100%

ram = 135%

fraction  Anils income is of Ram's income

anil/ram = 100/135

a/r = 0.7407407407

74.1%

percent  Anils income is less than Ram's income?

100% - 74.1% = 25.9%

Answer:

  A = 2r²

Step-by-step explanation:

A square is a rhombus with equal-length diagonals. A square inscribed in a circle has diagonals equal to the diameter of the circle: 2r.

The area of a rhombus is half the product of the lengths of its diagonals. Hence the area of our square is ...

  A = (1/2)(2r)(2r)

  A = 2r²

Answer:

2

Step-by-step explanation:

r=1/2s[tex]\sqrt{2}[/tex]

2r=s[tex]\sqrt{2}[/tex]

2r/[tex]\sqrt{2}[/tex]=s remove [tex]\sqrt{2}[/tex] denominator by multiplying with [tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

2[tex]\sqrt{2}[/tex]r/2  -- simplify , 2 cancels

s=r[tex]\sqrt{2}[/tex]

so area = (r[tex]\sqrt{2}[/tex])^2

A(r)= 2r²

Answer:

x-2y=12

Solve for y

x-2y=12

Subtract x on both sides

-2y=-x + 12

Divide both sides by -2

y=\frac{1}{2}x - 6y=21x−6

the domain is {-3,-1,0,2,5}

Domain are the set of x values

Range are the set of y values

We are given with domain x, we need to find out y values using the equation y=\frac{1}{2}x - 6y=21x−6

when x=-3 , y=\frac{1}{2}(-3)-6=\frac{-15}{2}=-7.5y=21(−3)−6=2−15=−7.5

when x=-1 , y=\frac{1}{2}(-1)-6=\frac{-13}{2}=-6.5y=21(−1)−6=2−13=−6.5

when x=0 , y=\frac{1}{2}(0)-6=-6y=21(0)−6=−6

when x=2 , y=\frac{1}{2}(2)-6=-5y=21(2)−6=−5

when x=5 , y=\frac{1}{2}(5)-6=\frac{-7}{2}=-3.5y=21(5)−6=2−7=−3.5

Range is {-7.5, -6.5, -6 , -5, -3.5}

Step-by-step explanation:

solve the equation ? 1 equation with 2 variables ? that is not possible.

what you mean is probably find the range.

x - 2y = 12

-2y = -x + 12

2y = x - 12

y = (x - 12)/2 = (1/2)x - 6

x = -3

y = 1/2 × -3 - 6 = -1.5 - 6 = -7.5

x = -1

y = 1/2 × -1 - 6 = -0.5 - 6 = -6.5

x = 0

y = 1/2 × 0 - 6 = -6

x = 2

y = 1/2 × 2 - 6 = 1 - 6 = -5

x = 5

y = 1/2 × 5 - 6 = 2.5 - 6 = -3.5

so, the corresponding range of the function is

{-7.5, -6.5, -6, -5, -3.5}

The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.

Answer:

y < 5

Step-by-step explanation:

Subtract 22 from both sides.

7y < 5y + 12 - 2

7y < 5y + 12 − 2

2 Simplify  5y + 12 - 25y + 12 − 2  to  5y + 105y + 10.

7y < 5y + 10

7y < 5y + 10

3 Subtract 5y5y from both sides.

7y - 5y < 10

4 Simplify  7y - 5y7y − 5y  to  2y.

2y<10

Divide both sides by 22.

y < 10/2

Then Simplify 10/2 to 5

y < 5

​

Answer:

it's b

Step-by-step explanation:

because it is sum and difference of 3x and 5

Answer:

750 students.

Step-by-step explanation: