Ian invested $20,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 ​ % compounded continuously. Lauren invested $20,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 ​ % compounded monthly. After 20 years, how much more money would Lauren have in her account than Ian, to the nearest dollar?

Answer:

31/24 or 1.29

Step-by-step explanation:

First isolate m to one side of the equation

7/8+5/12=m

21/24 + 10/24=m

31/24=m or you can simplify to get 1.29

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

there is no enough data to find the answer

Answer:

14 feet

Step-by-step explanation:

c = πd

Plug in the givens

43.96 = 3.14d

Divide both sides by 3.14

14 = d

Answer:

Diameter = circumference ÷π

43. 96÷3. 14 =14 feet

Answer:

y = 2x +14

Step-by-step explanation:

We need to convert the given equation into slope intercept form ,

=> y - 6 = 2(x+4)

=> y -6= 2x + 8

=> y = 2x +8+6

=> y = 2x + 14

here's the solution,

[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]

so,

=》

[tex]v = 25\pi \times 2[/tex]

=》

[tex]v = 50\pi[/tex]

if you solve for π then the value will be :

but in terms of π the value will be :

The volume of the cylinder is 157 unit³.

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given: B= 25π, h= 2 units

Base area= 25π

πr²=  25π

r²=25

r=±5 units

Now, Volume of cylinder= πr²h

                                         = 3.14* 5* 5* 2

                                         = 157 unit³

Hence, the volume of cylinder is  157 unit³.

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

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Answer:

[tex]Given~quadratic ~function : 1=x^2-6x[/tex]

[tex]here,a=1,b=-6[/tex]

[tex]so, the~numbers~which ~we ~need ~to ~add....[/tex]

➜ [tex](\frac{b}{2} )^2[/tex]

➜ [tex]=(\frac{-6}{2})^2[/tex]

➜[tex]=(-3)^2[/tex]

➜ [tex]=9[/tex]

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

hope it helps...

have a great day!!

Answer:

3/5

Step-by-step explanation:

5/5-2/5=3/5

Answer:

C... 3

Step-by-step explanation:

Question: Find the circumference of the circle to the nearest hundredth

d = 11cm

Answer:

34.54 cm

Step-by-step explanation:

Applying,

P = πd...................... Equation 1

Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie

From the question

Given: d = 11 cm

Constant: π = 3.14

Substitute these values into equation 1

P = (3.14×11)

P = 34.54 cm

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

Answer:

solution given:

length[l]=3 in

breadth [b]=5in

height [h]=8in

total surface area of the rectangular prism=?

we have

total surface area of the rectangular prism

=2[lb+bh+lh]

=2[3*5+5*8+3*8]

=158 in²

total surface area of the rectangular prism is 158 in².

Answer:

158

Step-by-step explanation:

formula is 2(hL+wh+lw)

Length- 3

width- 5

height - 8

Substitue values and get answer.

2 (24+ 40+15)

2 (79)

= 158

have a wonderful day!

Answer:  x= 1/7 y + -3/7

Step-by-step explanation:

y=7x+3

Step 1: Flip the equation.

7x+3=y

Step 2: Add -3 to both sides.

7x+3+(−3)=y+(−3)

7x=y−3

Step 3: Divide both sides by 7.

Answer:

C

Step-by-step explanation:

4(5)+10-12=18

Answer:

1.    x > -3

2.    8 > 0.5

3.    x < -4

6. x < 2

7. Yes

8. No

9. Yes

10. Yes

1. p=packs of gum

inequality = 35 > 10+2p

Benny can buy 6 packs of gum.

Answer:

He would be about 69 inches

Answer:

69 inches tall

Step-by-step explanation:

add 5ft = 60 inches + the other 9 inches which is

69 inches all together

Answer:b ryry

Step-by-step explanation:

Answer:

8.67dollars

Step-by-step explanation:

20-3.25-3.79-4.29=8.67

Answer:

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

4x = - 12 - 28

Answer:

x would equal 40

Step-by-step explanation:

x+(2x-5)+(x+25)=180

4x+20=180

x=40

Answer:

f(8) = 195

Step-by-step explanation:

When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.

f(8) = 3 + 3(8)²

f(8) = 3 + 3(64)

f(8) = 3 + 192

f(8) = 195

Hope this helps!

Answer:

195

Step-by-step explanation:

plug 8 =x into the equation

Answer:

Step-by-step explanation:

3x + 4y = 17

5x - 4y = 7

you can thus cancel out 4y

Hence

8x = 24

Hence x = 3

Substituting’

3(3) + 4y = 17

9 + 4y = 17

Hence 17 - 9/4

= y = 2

Hope this helps

Answer:

La pecera ocupa 48.000 centímetros cúbicos de espacio.

Step-by-step explanation:

Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:

40 x 60 x 20 = X

2400 x 20 = X

48000 = X

Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.

Answer:

1.344 cubic units

Step-by-step explanation:

Given data

Base edge a= 1.2

Hieght= 2.8

The expression for the volume of a pyramid is

V= a^2h/3

substitute

V= 1.2^2* 2.8/3

V= 1.44*2.8/3

V= 4.032/3

V= 1.34cubic units

Answer:

that would be 1

Step-by-step explanation:

in this equation x=74 and 74/74 equals one

Answer:

12 bounce

Step-by-step explanation:

Let :

Number of Menard's bounce = x

Ben's bounce = x + 8

Diego's bounce = 2x

If Diego's bounce = 8

Then ;

2x = 8

x = 8/2

x = 4

Ben's bounce = x + 8

Ben's bounce = 4 + 8 = 12

Answer:

D, 6 x 3 x 3

Step-by-step explanation:

One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.

Answer:

ancho de ese culotote

Step-by-step explanation:

Answer:

Toby began his math homework at 6:38 pm.

He finished at 7:09 pm.

How many minutes did Toby spend on his math homework?

Step-by-step explanation: