You are ordering planks of
wood that are 8' long each.
You need 15 pieces cut 3' long,
and 9 pieces cut 4' long. How
many planks of wood should
you order?

Answer:

A = $ 7,449.23

A = P + I where

P (principal) = $ 5,000.00

I (interest) = $ 2,449.23

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Compound Interest Formulas and Calculations:

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r/n)^nt

Calculate Principal Amount, solve for P

P = A / (1 + r/n)^nt

Calculate rate of interest in decimal, solve for r

r = n[(A/P)(^1/nt) - 1]

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / n[ln(1 + r/n)] = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

Formulas where n = 1 (compounded once per period or unit t)

Calculate Accrued Amount (Principal + Interest)

A = P(1 + r)^t

Calculate Principal Amount, solve for P

P = A / (1 + r)^t

Calculate rate of interest in decimal, solve for r

r = (A/P)1/t - 1

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = t = ln(A/P) / ln(1 + r) = [ ln(A) - ln(P) ] / ln(1 + r)

Continuous Compounding Formulas (n → ∞)

Calculate Accrued Amount (Principal + Interest)

A = Pe^rt

Calculate Principal Amount, solve for P

P = A / ert

Calculate rate of interest in decimal, solve for r

r = ln(A/P) / t

Calculate rate of interest in percent

R = r * 100

Calculate time, solve for t

t = ln(A/P) / r

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

Answer:

2 apples = .24 kilograms

12 apples = 1.44 kilograms

Step-by-step explanation:

If 5 apples all weigh The same amount. Let x represent one apples weight

5x = 0.60

divide by 5

one apple weighs .12 kilograms

then multiply by the number of apples. So 2 apples is .24

and 12 apples is 1.44

Answer:

$149

Step-by-step explanation:

As it is 35% off, $97 is therefore 65% of the full price [because 100 -35 = 65].

You can then divide 97 by 65 [1.49 to 2 d.p] to get 1% of the full price. 100% is the full price so we multiply 1.49 by 100 and the result of that is 149.

answer is a because while doing it in graph it seems a straight line

Answer:

-3/7

Step-by-step explanation:

slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7

Answer:

x=69

Step-by-step explanation:

15/100=x/460

=>100x=15×460 (cross multiplication)

=>100x=6900

x=69 (divide both side by 100)

Note:if you find my answer helpful. Please mark me as brainliest

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

Answer:

.

Step-by-step explanation:

Answer:

15 (simplified)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The angles that you have shown are called same side exterior angles.

All same side exterior angles add to 180 degrees

Since we know this, we can make the following equation:

2y+2+4y-2=180

6y=180

y=30

To get each angle you can plug in y:

2*30+2=62

4*30-2=118

I hope this helps :)

Answer:

y = 6x + 3

Step-by-step explanation:

Since you can't have a negative y in a y = mx + b equation you have to make it postive. You also have to do everything you do on one side to the other. To do this you have to multiply everything by -1. This will make everything positive b/c it cancels out the other negative. (Two negatives equals a positive) You should be left with y = 6x + 3. The -1 cancelled the -y, -6x, and -3 so you add 3 instead of subtract it.

y = 6x + 3

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

Answer:

read the answers below.

Step-by-step explanation:

d = dog

d = c + 8

ch = chickens

ch = d -2

gp = guinia pigs

gp = c - 3

d + c + ch + gp = 59

gp = c- 3

gp = d -8 - 3

gp = d - 11

d + d-8 + d - 2 + d-11 = 59

4d -8 - 2 - 11 = 59

4d - 21 = 59

4d - 21 + 21 = 59 + 21

4d = 80

4d/4 = 80/4

d = 20

========

c = d - 8

c = 20 - 8

c = 12

========

ch = d - 2

ch = 20 - 2

ch = 18

=========

gp = d - 11

gp = 20 - 11

gp = 9

Answer:

x = 1/3

Step-by-step explanation:

Move all terms containing x to the left side of the equation.

8+6x=10

Move all terms not containing x to the right side of the equation

6x=2

Divide each term by 6 and simplify.

Exact Form:

x=1/3

Decimal Form:

x=0.3333333333

Hope this helps!

Answer:

a. 12 mice

b. 8 mice

c. (X + 2) mice

Step-by-step explanation:

Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.

Supply needed = N + L + 2

                          = 2N + 2      (∵ N = L)

So that:

Number of mice needed = N + 2

a. When the number of snake is 10, the number of mice needed would be:

Number of mice needed = 10 + 2

                         = 12

Number of mice needed is 12.

b. When the number of snake is 6, the number of mice needed would be:

Number of mice needed = 6 + 2

                         = 8

Number of mice needed is 8.

c. When the number of snake is X, the number of mice needed would be:

Number of mice needed = X + 2

Answer:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

Step-by-step explanation:

from google

The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

To learn more about the probability of an event visit:

https://brainly.com/question/17089724.

#SPJ2

Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total

Answer:

y=1/3x+5

Step-by-step explanation:

Answer:  The required amount of money spent on each of the two video games is less than or equal to 45.25.

Step-by-step explanation:  Given that Zachary is planning to send a video game to each of his two brothers. He buys the same game for both brothers and pays $4.75 to ship each game.

We are to write and solve an inequality find the amount spent on each game without spending more than $100.

Let $x be the amount that is spent on each of the two video games.

Then, according to the given information, the inequality can be written and solved as follows :

Thus, the required amount of money spent on each of the two video games is less than or equal to 45.25.

Answer:

-2x <= x < 3

Step-by-step explanation:

Subtract 4 from all sections to isolate the x and then divide everything by 3 to make there be only 1 x

Answer:

I think its 183 1/3

It's what I figured out & the other answer says the same.

Step-by-step explanation:

You like TommyInnit, too? Poggers! <3

Answer:

183 1/3

Step-by-step explanation:

I'm assuming that x and y are directly proportional.

So anyways:

5.5 divided by 3/4 is 7 1/3.

Because this is directly proportianol, you'll also have to mutiply y by 7 1/3.

So: 25 times 7 1/3 equal to 183 1/3

Hope this helps!

Answer:

22.5 miles per hour (rounded answer)

Step-by-step explanation:

This is a fraction equal to

18 miles ÷ 0.8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.8

18 miles ÷ 0.8

0.8 hours ÷ 0.8

=  

22.5 miles

1 hour

=  

22.5 miles

hour

= 22.5 miles per hour

Answer:

there is no miles per hour because she wasn't riding for an hour

Answer:

33.5416666667

Step-by-step explanation:

805/24 math problems division = 33.5416666667. Therefore 33.5416666667 to 2 decimal places= 33.54

805/24 divided by 2 » (805/24) ÷ 2 » 33.5416666667 ÷ 2 = 16.7708333333 . Check 805/24 long division below

Answer:

90≤x≤110

Step-by-step explanation:

Given two inequality |x-100/15|≤2/3

The modulus value can be negative or positive

For the postive value. x-100/15≤2/3

Cross multiply

3(x-100) ≤30

3x-300≤30

3x≤330

x≤110

For the negative value;

-(x-100)/15≤2/3

100-x/15≤2/3

3(100-x) ≤30

300-3x≤30

-3x≤-270

x≥90

90≤x

Combining both inequalities.

90≤x≤110

Answer:

18 by 12 is 216

Answer:

216

Step-by-step explanation:

Answer:

6x + 3y

Step-by-step explanation:

distribute

3x + 3x + 3y

Combine like terms

6x + 3y

theres ur answer

Answer:

x > 3

Step-by-step explanation:

-7x < -21

Divide each side by -7, remembering to flip the inequality

-7x/-7 > -21/-7

x > 3

Answer:

x > 3

Step-by-step explanation:

Get the variable (x) by itself. Divide both sides by -7. Since a negative/ negative = positive, the 3 is positive.  When you multiply or divide by a negative, the inequality sign flips. I hope this helped.

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