Which of the following is the best approximation of the volume of the cylinder below?
Use 3.14 for π

Given:

Initial value = 400

Interest rate = 5% compounded quarterly.

To find:

The function that gives you the amount of money in dollars, J(t) in t years after the initial deposit.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimals, n is the number of times interest compounded in an year and t is the number of years.

The interest rate is 5% compounded quarterly. So, r=0.05 and n=4.

Substituting [tex]P=400,\ r=0.05,\ n=4[/tex] in the above formula, we get

[tex]A=400\left(1+\dfrac{0.05}{4}\right)^{4t}[/tex]

[tex]A=400\left(1+0.0125\right)^{4t}[/tex]

[tex]A=400\left(1.0125\right)^{4t}[/tex]

The required function notation is:

[tex]J(t)=400\left(1.0125\right)^{4t}[/tex]

Therefore, the amount of money in dollars, J(t) in t years after the initial deposit is [tex]J(t)=400\left(1.0125\right)^{4t}[/tex].

Answer:

A = bh = A = 9.5*14

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

4(1+2y)=12y

4*1 + 4*2y=12y

4 + 8y=12y

4=12y - 8y

4=4y

4/4=y

1=y

Answer:

X = 19

Step-by-step explanation:

Two parallel lines cut by a transversal means the corresponding angles are congruent. Set each equation equal to each other and solve for x.

2x+78= 7x-17

Add 17 to both sides: 2x + 95= 7x

Then subtract 2x from both sides: 95= 5x

divide each side by 5, for final answer: x= 19

Answer:

Option A = 8t

Step-by-step explanation:

6t + 3t - 8t = t

6t + 3t = 9t

9t - 8t = t

Answer:

a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.

b) No sobran árboles.

c) 0 árboles.

Step-by-step explanation:

Dado que las plantas de limón deben cubrir un terreno cuadrado, entonces se debe satisfacer que la siguiente condición:

[tex]n^{2} \le 361[/tex]

Donde [tex]n[/tex] es el número de filas de árboles de limón.

Si [tex]n < 19[/tex], entonces sobrarán árboles.

a) El número de filas de limones es [tex]n = \sqrt{361} = 19[/tex]. Es decir, se necesitan 19 filas de árboles.

b) No sobran árboles.

c) 0 árboles.

Answer:

3.88

Step-by-step explanation:

→ Calculate the exact value of each number

19 ÷ 5 = 3.8

3.88 = 3.888888888

15 ÷ 4 = 3.75

√15 = 3.8729

Answer:

4 pounds 2 oz

Step-by-step explanation:

16 oz = 1 pound so you add 10 and 8 to get 18-16 to get 4 pounds 2 oz

Answer:

14 oranges

Step-by-step explanation:

8+6

Answer:

-2 < x < ఔ

Step-by-step explanation:

F’x = 3x^2 + 18x + 24

F’x = 3(x^2 +6x +8)

F’x = 3(x+4)(x+2)

One of the points of inflection will be at x = -2, and after -2 we know the equation will increase because it is positive

Insta: lankey.t

Answer:

1/6

Step-by-step explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 2/3 - 1 2/3)/(-2 -4)

   = -1/-6

   = 1/6

Answer:

Step-by-step explanation:

take 74 degree as reference angle

using cos rule

cos 74 =adjacent/hypotenuse

0.275=x/12

12*0.275=x

3.3=x

take 36 degree as reference angle

using sin rule

sin 36=opposite/hypotenuse

0.587=x/11

0.587*11=x

6.457=x

6.5=x

take 39 degree as reference angle

using tan rule

tan 39=opposite/adjacent

0.809=13/x

x=13/0.809

x=16.06

x=16.1

take 16 degree as reference angle

using tan rule

tan 16=opposite /adjacent

0.286=x/14

0.286*14=x

4.00=x

4.0=x

x=

Answer:

b = -a

Step-by-step explanation:

If a and b are both positions from 0, we need to write an equation that relates both positions. The problem is explaining that the position of a is opposite to the position of b.

If a = 2; b = -2. If a = 1000; b = -1000.

If a = -x; b = x. Then:

-a = x

-a = x and b = x, that means:

b = -a

Answer:

20

Step-by-step explanation:

it equals 19.99 but if you round it equals to 20

Answer:

you can use desmos

Step-by-step explanation:

for example put x=88

and do the same with the rest

then put x+y+z and you will get your answer

Answer:

Step-by-step explanation:

Explanation:

[tex]12 - 6 + 4[/tex]

In order to solve this, we must use PEMDAS.

This is because there are more than one operations involved.

PEMDAS is the order in which you must solve the operations.

PEMDAS STANDS FOR:

Solve.

Now, using PEMDAS, I will solve.

There are no parenthesis.

There are no exponents.

There is no multiplication nor division.

There is addition and subtraction.

[tex]12-6+4[/tex]

[tex]12-6=6[/tex]

[tex]6+4[/tex]

Lastly, there is addition.

[tex]6+4=10[/tex]

Conclude:

I, therefore, believe [tex]12-6+4=10.[/tex]

You did not clarify the answers of Jagan nor Mithun.

So, whichever person got the answer of 10 is correct.

Answer:

wachiwachiwachiwawawa

Answer:

< ABE  = 109

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(SUM of Intercepted Arcs)

< ABE = 1/2 ( 38+ 180)

< ABE = 1/2( 218)

< ABE  = 109

Answer:

Length: 12 cm

Width: 8 cm

Height; 7 cm

Step-by-step explanation:

We are told that the areas of 2 of the faces are 84cm² and 56cm².

Now, the side faces are 4 in total with 2 each having same areas.

Thus, it means they would have the same height.

Let's find the highest common factor between 84cm² and 56cm².

The highest number that can be divide each equally is 7.

Thus;

12 × 7 = 84 cm²

8 × 7 = 56 cm²

This means, the bottom part will measure 12 cm by 8 cm.

Thus, the complete measurement is;

Length: 12 cm

Width: 8 cm

Height; 7 cm

Let's check if it will give us a Volume equal to that given.

Thus;

Volume = 12 × 8 × 7 = 672 cm²

This is same as that given and so our dimensions are correct.

Answer:

132/100, or 1.32

Step-by-step explanation:

Just change 13/10 to 130/100 and add 2/100 to make it 132/100, or 1.32 :)

Answer:

b = 9.2

Step-by-step explanation:

Using the Pythagorean theorem (in your case): [tex]a^{2} +c^{2} = b^{2}[/tex]

Plug in your values and solve for x:

[tex]6^{2}+7^{2} =b^{2}\\36+49 =b^{2} \\85 = b^{2} \\b = \sqrt{85} \\b = 9.2[/tex]

Answer:

yes

Step-by-step explanation:

b/c he only filled his car only one time so he might have remained gallons of gas

Answer:

337+x+89y+210xy

Step-by-step explanation:

x-2+(5y*7*6x)+89y-6+345

x-2+(210xy)+89y-6+345

x-2+210xy+89y-6+345

-2-6+345+x+89y+210xy

337+x+89y+210xy

Answer:

subtract 4 from both sides

Step-by-step explanation:

Given

x² + 2x - 11 = 4

First step : subtract 4 from both sides

x² + 2x - 15 = 0 ← in standard form

Second step : factorise the quadratic

(x + 5)(x - 3) = 0 ← in factored form

Third step : equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

Fourth step : state the solutions

solutions are x = - 5, x = 3

Answer:

B. A"(6, 12)

Step-by-step explanation:

A(4,2) --->reflected across y=x ---> A'(2, 4) --->

dilated k =3 ---> A" ( 2×3 , 4×3) => A" (6, 12)