Jacob took out a loan from a bank today (now). The original agreement stated that to pay off the loan he had to make two equal payments: The first payment of $3000 was due 6 months from now, and the second payment of $3000 was due 12 months from now.
Suppose he renegotiated with the bank so that instead of the original agreement he will make a single payment 24 months from now to pay off the two original obligations.
What single payment 24 months from now will he have to make if the simple interest rate is 10%? The agreed focal date is 24 months from now.

Answer:

the solution to the equation 2x + 18 = 42 is x = 12.

Step-by-step explanation:

To solve for x in the equation 2x + 18 = 42, you can follow these steps:

Subtract 18 from both sides of the equation:

2x + 18 - 18 = 42 - 18

2x = 24

Divide both sides of the equation by 2:

2x/2 = 24/2

x = 12

Therefore, the solution to the equation 2x + 18 = 42 is x = 12.

Answer:

\( \sf \: x = 12\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 2x + 18 = 42

Then the value of x will be,

→ 2x + 18 = 42

→ 2x = 42 - 18

→ 2x = 24

→ x = 24 ÷ 2

→ [ x = 12 ]

Hence, the value of x is 12.

Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

Answer:

Proved

Step-by-step explanation:

Required

Prove that:

\((x\ sin\ a + y\ cos\ a)^2 + (x\ cos\ a - y\ sin\ a)^2 = x^2 + y^2\)

Solving from left to right:

Open brackets

\((x\ sin\ a + y\ cos\ a)(x\ sin\ a + y\ cos\ a) + (x\ cos\ a - y\ sin\ a)(x\ cos\ a - y\ sin\ a) = x^2 + y^2\)\(x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a - 2xy\ sin\ a\ cos\ a + y^2\ sin^2 a = x^2 + y^2\)

Collect Like Terms

\(x^2\ sin^2 a + 2xy\ sin\ a\ cos\ a - 2xy\ sin\ a\ cos\ a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2\)

\(x^2\ sin^2 a + y^2\ cos^2 a + x^2\ cos^2 a+ y^2\ sin^2 a = x^2 + y^2\)

Collect Like Terms

\(x^2\ sin^2 a + y^2\ sin^2 a + x^2\ cos^2 a + y^2\ cos^2 a = x^2 + y^2\)

Factorize:

\((x^2 + y^2)\ sin^2 a + (x^2 + y^2) cos^2 a = x^2 + y^2\)

Further factorize

\((x^2 + y^2)(sin^2 a + cos^2 a) = x^2 + y^2\)

In trigonometry:

\(sin^2 a + cos^2 a = 1\)

So, we have:

\((x^2 + y^2)(1) = x^2 + y^2\)

\(x^2 + y^2 = x^2 + y^2\)

Proved

9514 1404 393

Answer:

  B) 171 units^2

Step-by-step explanation:

The area is given by the formula ...

  A = 1/2(b1 +b2)h

Filling in the given base and height values, we find the area to be ...

  A = 1/2(23 +15)(9) = (19)(9) = 171 . . . square units

_____

Additional comment

You can select the correct answer choice simply on the basis of "reasonableness." If this were a 9×15 rectangle, its area would be 9×15 = 135 square units, more than 85.5. You know its area is less than a 9×23 rectangle, so is less than 9×23 = 207 square units. Only one answer choice is a value between 135 and 207.

__

Multiplication by 9 is not so hard. It is multiplication by 10-1:

  15×9 = 15×(10 -1) = 150 -15 = 135

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

Base is 3 centimeter and hight is 12 cent.

Answer:

4

Step-by-step explanation:

The slope for the given equation is 4.

Answer:

4

Step-by-step explanation:

Since the equation is written in y=mx+b form, we know that M is the value of the slope.

Since y=4x+5 is in slope intercept form, 5 would be (0,5) for y-Intercept

Answer:

A=82°

a= 67.4

c = 60.1

Step-by-step explanation:

For A

A+B+C =180°

A= 180-(B+C)

A= 180-(36+62)

A= 189-(98)

A= 82°

For a

a/sinA= b/sinB

a/sin82= 40/sin36

a= (40*sin82)/sin36

a=( 40*0.9903)/0.5878

a=67.39

Approximately = 67.4

For c

c/sinC= b/sinB

c= (sinC*b)/sinB

c= (sin62*40)/sin36

c =(0.8829*40)/0.5878

c = 60.08

Approximately = 60.1

Answer:

B. Frequency

Step-by-step explanation:

I calculated it logically

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

Answer:

67.97%

Step-by-step explanation:

Answer:

67.97%

Step-by-step explanation:

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

Answer:

50% of the jerseys are medium

Answer:

50% of the jerseys are medium sized.

Step-by-step explanation:

20 is 100% and half of them are medium so half of 100 is 50%

Answer:

Bailey's balance after 180 days is $ 157.39.

Step-by-step explanation:

Since Bailey wanted a new pair of shoes, and she put the $ 142 cost on her credit card, but because Bailey has been irresponsible with her credit, the credit card company charges her 22% annual interest, for figure Bailey's balance after 180 days, assuming she made no payments, the following calculation must be made:

365 = 100

180 = X

180 x 100/365 = X

18,000 / 365 = X

49.31 = X

22 x 0.4931 = 10.84

142 x 1.1084 = X

157.39 = X

Thus, Bailey's balance after 180 days is $ 157.39.

Answer:

Rational

Step-by-step explanation:

Repeating decimals can be represented as a ratio of two integers.

0.9

Im a nerd and i love math like my parents

Answer:

sin(-pi/2) = -1

Step-by-step explanation:

sin (pi/12) cos((7pi)/12) -cos (pi/12) sin((7pi)/12) = -1

cos(-pi/2) = 0

sin(-pi/2) = -1

cos((2pi)/3) = -1/2

sin((2pi)/3) = (√3)/2

There is no stationary point at x = 2. The nature of the curve at x = 2 cannot be determined since there is no stationary point.

To verify that the curve has a stationary point at x = 2, we need to find the derivative of the equation and set it equal to zero.

Given the equation:

y = 2x + 1/(x-1)²

Let's find the derivative dy/dx:

dy/dx = d/dx [2x + 1/(x-1)²]

To find the derivative, we can use the power rule and the chain rule. Let's differentiate each term separately:

For the first term, 2x, the derivative is 2.

For the second term, 1/(x-1)², we can rewrite it as (x-1)^(-2) to apply the power rule. The derivative is then:

d/dx [(x-1)^(-2)] = -2(x-1)^(-3) * d/dx (x-1)

Using the chain rule, d/dx (x-1) = 1, so the derivative becomes:

-2(x-1)^(-3) * 1 = -2/(x-1)^3

Now, let's set dy/dx equal to zero and solve for x:

-2/(x-1)^3 = 0

This equation is satisfied when the numerator is equal to zero:

-2 = 0

However, -2 is not equal to zero, which means there is no x value that makes dy/dx equal to zero.

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The expressions are 5y³/x² + 4x, c⁴ - 2c² + 1, a - a², and 5n³ + nq³ are polynomials with degrees 3, 4, 2, and 3 respectively.

A polynomial expression is an algebraic expression made up of variables and coefficients, combined using only the operations of addition, subtraction, and multiplication. The variables are raised to a power, which is a non-negative integer, and the coefficients are real numbers. A polynomial can have any number of terms, but it always has a degree, which is the highest power of the variables in the expression.

The polynomial expression; 5y³/x² + 4x is to the 3rd degree and is a binomial since it has 2 terms.

The polynomial expression; c⁴ - 2c² + 1 is to the 4th degree and is a trinomial since it has 3 terms.

The polynomial expression; a - a² is to the 2nd degree and is a binomial since it has 2 terms.

The polynomial expression; 5n³ + nq³ is to the 3rd degree and is a binomial since it has 2 terms.

The expression d + 3dᶜ will be a polynomial to the degree of c if c is a non-negative integer.

In conclusion, the expressions: 5y³/x² + 4x, c⁴ - 2c² + 1, a - a², and 5n³ + nq³ are polynomias with degrees 3, 4, 2, and 3 respectively.

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x = 5/3

x = - 5/3

i believe this is the answer

Answer:

510

Step-by-step explanation:

200×2.55=510 this is the answer

Answer:

756 miles in 12 hours

Step-by-step explanation:

504÷8=63

63 miles per hour

63×12=756

9514 1404 393

Answer:

  756

Step-by-step explanation:

If you recognize that 12 (=8 +8/2) is half-again as much as 8, then you would know that Tom would drive half-again as much as 504 miles. That is, he would drive 504 +504/2 = 504+252 = 756 miles in 12 hours.

__

Since the rate is constant, you can write a proportion:

  d/12 = 504/8 = distance/time

  d = (12/8)(504) 1.5×504  = 756

Tom would drive 756 miles in 12 hours at that rate.

The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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Answer:

15

Step-by-step explanation:

4/5 = 12/blank.

well 12/4 is 3

3 * 5 is 15.

the blank is 15

Answer:

12/15

Step-by-step explanation:

4/5x3/3=12/15

since 12 is 3 times greater than 4, you must multiply both the numerator and the denominator by 3.

The first four terms of the sequence t/n = n(6n - 2) are: 4, 20, 48, 88.

Let's substitute n = 1:

t/1 = 1(6(1) - 2)

t = 1(6 - 2)

t = 4

The first term of the sequence (when n = 1) is 4.

Now, let's substitute n = 2:

t/2 = 2(6(2) - 2)

t = 2(12 - 2)

t = 2(10)

t = 20

The second term of the sequence (when n = 2) is 20.

Next, let's substitute n = 3:

t/3 = 3(6(3) - 2)

t = 3(18 - 2)

t = 3(16)

t = 48

The third term of the sequence (when n = 3) is 48.

Lastly, let's substitute n = 4:

t/4 = 4(6(4) - 2)

t = 4(24 - 2)

t = 4(22)

t = 88

The fourth term of the sequence (when n = 4) is 88.

Therefore, the first four terms of the sequence t/n = n(6n - 2) are: 4, 20, 48, 88.

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