Please help.
Indices and Standard Form question

Answer:

Monthly deposit= $489.59

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $180,000

Number of periods (n)= 18*12= 216

Interest rate (i)= 0.055 / 12= 0.004583

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (180,000*0.004583) / {[(1.004583)^216] - 1}

A= $489.59

Answer:  27

Step-by-step explanation:

[tex]a_{1}=6\\a_{2}=a_{n-1}+7=a_{2-1} +7=a_{1} +7=6+7=13\\a_{3}=a_{n-1}+7=a_{3-1} +7=a_{2} +7=13+7=20\\a_{4}=a_{n-1}+7=a_{4-1} +7=a_{3} +7=20+7=27[/tex]

Answer:

A = 161°

Step-by-step explanation:

125° + 36° = 161°

hope this helps

Answer:

Step-by-step explanation:

Answer:

x = –1 AND (-1,2)

Step-by-step explanation:

The axis of symmetry is x = –1

and the vertex is (-1,2)

i know this because the graph is on -1, 2

and I also took the quiz hope it helps ;)

The vertex of the function is (-1, 2).

The axis of symmetry of the function is -1.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = (x + 1)² + 2

f(x) = x² + 2x + 1 + 2

f(x) = x² + 2x + 3

Now it is in the form of ax² + bx + c

a = 1

b = 2

c = 3

The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)

-b/2a = -2/2 = -1

f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2

Vertex = (-1, 2)

The axis of symmetry is the x-coordinate of the vertex.

= -1.

Thus,

Vertex is (-1, 2).

The axis of symmetry is -1.

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Answer:

Step-by-step explanation:

To find each probability you will state the probability of the first event happening and multiply it by the chance of the second event happening.  

P(2 Nickels):  6/10 x 5/9 = 30/90 (1/3 chance)

P(2 Dimes):  4/10 x 3/9 = 12/90 (4/30 chance)

P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)

I hope this helps :D

Answer:

B. 9

Step-by-step explanation:

Proportions are just like fractions and to figure them out sometimes you can use simplification in different forms.

[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex]

Now to get to 6, 24 had to be divided by 4...in proportions and fractions usually, the top and bottom are both simplified or proportioned to the same number or scale

36 ÷ 4 = 9

Check your answer by inserting it there to see if it works

9*4 = 36            6*4 = 24

Answer:

[tex]\boxed {\boxed {\sf B. \ 9}}[/tex]

Step-by-step explanation:

We are given this proportion:

[tex]\frac {x}{6}=\frac{36}{24}[/tex]

We want to solve for x, so we must isolate the variable using inverse operations.

It is being divided by 6. The inverse of division is multiplication, so we multiply both sides of the proportion by 6.

[tex]6*\frac {x}{6}=\frac{36}{24}*6[/tex]

[tex]x=\frac{36}{24}*6[/tex]

[tex]x=1.5*6 \\x=9[/tex]

Another way to solve is with cross multiplication. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.

[tex]\frac { x}{6}=\frac{36}{24}[/tex]

[tex]24*x=6*36[/tex]

[tex]24x=216[/tex]

The variable is being multiplied by 24. The inverse of multiplication is division, so we divide both sides of the equation by 24.

[tex]24x/24=216/24\\x=9[/tex]

The value of x that makes this proportion true is 9.

Answer:

B 48 in.

Step-by-step explanation:

the formula is a=bh/2 and that formula will get you 48 in^2.

Answer:

(1,1)

Step-by-step explanation:

Since both the equations equal y, we can replace one of them with y.

y=-3x + 4

3x - 2 = -3x + 4

Add 3x to both sides.

6x - 2 = 4

Add 2 to both sides of the equation.

6x = 6

x = 1

Now that we know what x is, we can plug that value into one of the original equations.

y = 3x -2

= 3(1) - 2

= 3 - 2

= 1

Answer:

60

Step-by-step explanation:

Answer:

Maybe multiply 2 and 4 then multiply 5x  of product of 2 and 4  

Step-by-step explanation:

Step-by-step explanation:

[tex]180 - 130 = 50[/tex]

Answer:

5

Step-by-step explanation:

13² - 12² = 25

√25 = 5

Have a great day <3

Answer:

I think! 3.5 feet wide

Step-by-step explanation:

the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol

The width of the deck is approximately 2.65 feet.

To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.

The total area of the pool and deck can be represented as follows:

(12 + 2x) x (20 + 2x)

where x is the width of the deck.

The area of the pool is:

12 x 20 = 240

So, the area of the deck can be found by subtracting the area of the pool from the total area:

(12 + 2x) x  (20 + 2x) - 240 = 68

Expanding the left side and simplifying, we get:

4x²+ 64x - 208 = 0

Dividing both sides by 4, we get:

x²+ 16x - 52 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = 16, and c = -52.

Plugging in these values, we get:

x = (-16 ± √(16² - 4(1)(-52))) / 2(1)

x = (-16 ± √(960)) / 2

x = (-16 ± 4√(15)) / 2

x = -8 ± 2√(15)

Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:

x = -8 + 2√(15)

So, the width of the deck is approximately 2.65 feet.

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Answer:A. 3 inches

Step-by-step explanation: :)

Answer:

b and c

Step-by-step explanation:

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

Answer:

C. 672

Step-by-step explanation:

Answer:

C) 672

Step-by-step explanation:

Answer:

if im corect the anwser is 3.14 (Side note) this is the wrong question i was anwsering to

Answer:

-18

Step-by-step explanation:

5a2-7-b3

[tex]5*a*2-7-b*3[/tex]

[tex]5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3[/tex]

Therefore, -18 is your answer.

Hope this helped! :)

Answer:

1.33333 hours

Step-by-step explanation:

Given :

Time taken by Libby = 2 hours

Time taken by Ethan = 4 hours

rate = 1 / time taken

Libby's rate = 1 /2

Ethan's rate = 1/4

Combined rate = Libby's rate + Ethan's rate

Combined rate = 1/2 + 1/4 = 3/4

Time taken = 1 / combined rate

Time taken = 1 / (3/4)

Time taken = 4 /3

Time taken = 1.33333 hours