Mackenzie invested $5,200 in an account paying an interest rate of 4\tfrac{1}{8}4 8 1 ​ % compounded monthly. Justin invested $5,200 in an account paying an interest rate of 4\tfrac{3}{4}4 4 3 ​ % compounded continuously. After 20 years, how much more money would Justin have in his account than Mackenzie, to the nearest do.llar?​

Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Answer:

I think its C.2

Plz correct me if I am wrong

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

How I did it is divided 37 and 50 (37/50 = 0.74)

Answer:

Solution given:

[tex] \sqrt{72 \times 2} [/tex]

[tex] \sqrt{144} [/tex]

[tex] \sqrt{12²} [/tex]

±12 is a required answer m

12.59

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Answer:

A, B, and D

Step-by-step explanation:

Answer:

5 mph.

Step-by-step explanation:

5x6 equals 30. 30 divided by 6 equals five. Hope it helps

Answer:

A. 5mph

Step-by-step explanation:

30m = 6h

/6         /6

5m = 1h

5mph

Answer:

3miles

Step-by-step explanation:

if you add .5+.5+.5=1.5. so you added .5 to itself 3 times to get the answer

Answer:

Step-by-step explanation:

Length of rectangle: s +1

Width of rectangle: S -6

Perimeter of rectangle:2(s+1+s-6)=2(2s-5)=4s-10

Answer:

132 cm squared

Step-by-step explanation:

for the two triangles 8 times 3 divided by 2 is 12 times 2 for two triangles equals 24

the two side rectangles easy just do 5 times 6 and it equals 30 times two because there is 2 and you get 60

the bottom rectangle do the same thing except 6 times 8 and there is only one so 48

add all areas together to get 132

Answer:

1 L = 1000 mL

Step-by-step explanation:

B. 260 × 100

Answer:

[tex]6x^{2} -3x+1[/tex]

Step-by-step explanation:

[tex]2x(6x^{2} -3x+1)/2x\\[/tex]

cancel 2 x

[tex]6x^{2} -3x+1[/tex]

Answer:

14.4

Step-by-step explanation:

16^2 - 7^2 = root of 207

Answer: [tex]t<444.44[/tex]

Step-by-step explanation:

Given

Texting bill is given by [tex]c(t)=0.09t[/tex]

Spending must be less than [tex]\$40\ \text{per month}[/tex]

So, text billing must be less than $40

[tex]\therefore 0.09t<40\\\\\Rightarrow t<\dfrac{40}{0.09}\\\\\Rightarrow t<444.44[/tex]

Answer:

D. 66

Step-by-step explanation:

6×(4+7)

6×11

=66

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Answer:81

Step-by-step explanation: calculator cause I got Mind jambled-

Answer:

[tex]81[/tex]

Step-by-step explanation:

6 + 1 + 7 = 14

8 + 9 + 5 = 22

4 + 6 + 7 = 17

7 + 7 + 7 + 7 = 21.

now add all of the results together.

14 + 22 + 17 + 21 = 81

hence, the answer is 81.

Answer:

The answer is 5.7

Step-by-step explanation:

To find the answer you would use the distance formula

[tex]\sqrt({x}_{2} -{x}_{1 )^{2} + (Y_{2} - Y_{1})^{2}[/tex]

The square root of X2 minus X1 plus Y2 minus Y1

You are given 2 points which means that you have your Xs and Ys needed.

We will use (6,-6) as our X and Y 1

We will use (2,-2) as our X and Y 2

Now all you do is plug in the numbers

[tex]\sqrt{2-(6)} + \sqrt{-2-(-6)}[/tex] Square them both

Simplify

[tex]\sqrt{-4} ^2+\sqrt{-4}^2[/tex]

Simplify again

-4 *-4 =16

4*4= 16

16+16= 32

Your answer is[tex]\sqrt{32}[/tex]

Or simplified 5.656

YOUR ANSWER IS: 5.7

Answer: $812.192

Step-by-step explanation:

The price of the bond will be gotten by multiplying the par value by the price quote. This will be:

Price of bond = Par value × Price quote

Price of bond = $800 × 101.524%

Price of bond = $800 × 1.01524

Price of bond = $812.192

Therefore, the price of the bond is $812.192.

Answer:

x=-8

Step-by-step explanation:

Well subtract 10 on both sides

-4x=32

Div ide -4 on both sides

x=-8

Answer:

x = -8

Step-by-step explanation:

-4x + 10 = 42

       -10   -10

-4x = 32

/-4     /-4

x = -8

to check work, insert x into the normal equation

-4(-8) + 10 = 42

32 + 10 = 42

Answer:

B it is a non-uniform probability model because each color has an equal chance of being selected

Step-by-step explanation:

Developing a uniform probability model by assigning equal probability to all. If we select one student at random from the ten, is that a uniform then student name or grade level or color of their shirt or shoe size or different that the probability model uniform is different so that means the model is a non-uniform

Answer:

D. 24 inches

Step-by-step explanation:

There are 12 inches in a foot so multiply 2 feet by 12 inches

Answer:

The answer is 24

Step-by-step explanation:

Answer:

6)31.25

7)622.92

8)16.666... or 16 2/3 or 50/3

9) 72

Step-by-step explanation:

Answer:

The Given Equation is

3x - 5y = 8

Slopes of paralell lines are equal

So option 3, 4, 5 are correct

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

Hope it helps..

Have a great day!!!

All the equation of lines that are parallel to the given line are,

10y = 6x + 12

12x - 20y = 24

3x - 5y= 1

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Equation of parallel line is,

⇒ 3x - 5y = 8

Slope of parallel lines are,

⇒ m = 3/5

Now, We know that;

Slope of parallel lines are same ton each other.

For equation 1;

5x - 3y = 1

3y = 5x - 1

y = 5/3x - 1

dy/dx = 5/3

For equation 2;

9x - 10y = 16

10y = 9x - 16

y = 3/5x - 1

dy/dx = 3/5

For equation 3;

10y = 6x + 12

y = 6/10x + 12

dy/dx = 6/10 = 3/5

For equation 4;

12x - 20y = 24

20y = 12x - 24

y = 12/20x - 1

dy/dx = 12/20 = 3/5

For equation 5;

3x - 5y = 1

5y = 3x - 1

y = 3/5x - 1

dy/dx = 3/5

Thus, All the equation of lines that are parallel to the given line are,

10y = 6x + 12

12x - 20y = 24

3x - 5y= 1

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

Answer:

Distance covered by Ruchi = 61.1 km

Step-by-step explanation:

Formula of the Speed is given by,

Speed = [tex]\frac{\text{Distance covered}}{\text{Time taken}}[/tex]

Since, Ruchi coves distance = 3.25 km

Time taken to cove this distance = 50 minutes

Therefore, speed of Ruchi = [tex]\frac{3.25}{50}[/tex]

                                            = 0.65 km per minute

Therefore, distance covered by Ruchi in 94 minutes,

0.65 = [tex]\frac{\text{Distance covered}}{94}[/tex]

Distance covered = 0.65 × 94

                              = 61.1 km

Answer:

the answer should be 1920

hope this helped and have a good weekend :D

Step-by-step explanation:

Well 182 students is 65% so it's 182 add 30%

but in all honesty I don't know what that 30% is, sorry, but it's better to write that instead of nothing, it still gets you more marks

sixth graders scare me, they're so small