Solve this equation. Explain or show your reasoning. What is the value of y when -5 - Y - 77 = 7 А -7 B -11 с C -38 D -52

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Rounding to the nearest hundredth, the area is approximately 151.976 cm².

The formula for the area of a sector is:

A = (θ/360) x πr²

where θ is the central angle in degrees, r is the radius, and π is pi (3.14).

Plugging in the given values, we get:

A = (144/360) x 3.14 x 11^2

A = 0.4 x 3.14 x 121

A = 151.976

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Consider the line segment AB shown the locations for point C makes ABC a right triangle with hypotenuse AB

In a coordinate pair the points are as represented as (x, y).

The point that forms the right triangle is located by tracing the point on the x axis of of the point A and the point on the y axis of the point B.  This is done below

therefore we can say that the point C that forms the right triangle is

C (2, 3)

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Answer:

Step-by-step explanation:

Answer:

89

Step-by-step explanation: the sum of both numbers are 17/ 9+8=17.

89 is greater than 80

Answer:

89

Step-by-step explanation:

89 is greater than 80

8 is less than 9

8 + 9 = 17

It meets all the requirements

Answer:

the airplane needs to travel 400 mph to reach 2000 miles in 5 hours

Answer:

5

To find the first term

T(1)=(1×2)+3

=2+3

=5

Answer:

135

Step-by-step explanation:

Answer:

C. 1/4

Step-by-step explanation:

take two points and see how many times it need to rise up and run to get slope. or do y1-y2 over x1-x2

Take (-4,0) and (0,1) to get to (0,1) to (-4,0) it must rise 1 and run 4

1/4 is the slope

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Answer: 1 kilometer = 1,000,000 millimeters so multiply that times 5 and you have your answer 5,000,000 millimeters.

The amount is 4.8, base is 12 and the precent of the given condition is unknown.

Define base:

In mathematics, the term "base" refers to a fixed number or symbol used as a point of reference for counting, measuring or representing a quantity.

In the decimal system, for example, the base is 10, because there are 10 possible digits (0-9) that can be used to represent a number. In binary system, the base is 2, because there are only 2 possible digits (0 or 1) that can be used to represent a number.

What about precent?

In mathematics, percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred," so a number expressed as a percent represents a fraction of 100.

To convert a number to a percent, we multiply it by 100. For example, if we want to express the number 0.25 as a percent, we can multiply it by 100 to get:

⇒ 0.25 x 100 = 25%

According to the given information:

Percent: The precent is the number with the % symbol

Base: The base is the whole amount which in this case is 12.

Amount: The amount based on the precent is 4.8

So, from overall condition we have that option 'a' is correct.

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Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

a) The error first appears between Steps 2 and 4.

b) The value of the expression is given by: 5^(-4) = 1/625.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

The numerator is simplified as follows:

25^(-4) = 5²^(-4) = 5^(2 x -4) = 5^(-8).

The denominator is given as follows:

5²^(-2) = 5^(-4).

When two terms have the same base and different exponents and are divided, we keep the base and subtract the exponents, hence:

5^(-8)/[5^(-4)] = 5^(-8 - (-4)) = 5^(-4) = 1/(5^4) = 1/625.

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Answer:

A)  (-7, 6)

Step-by-step explanation:

The graph of the inverse function is a reflection in the line y = x.

The mapping rule for a reflection in the line y = x is:

Therefore, if point (6, -7) is on the graph of the function f(x), the point that is on the graph of the inverse function f⁻¹(x) is:

Answer:

B. 2

Step-by-step explanation:

Here we need to the find the value in the green box.

Hence, only evaluate the part to the left of the operation sign.

The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10

The third option is correct.

High price value: 115 shares * $105.19 per share = $12,084.85

Low price value: 115 shares * $103.25 per share = $11,858.75

High price value: 30 shares * $145.18 per share = $4,355.40

Low price value: 30 shares * $143.28 per share = $4,298.40

The overall value at high price:

$12,084.85 + $4,355.40

= $16,440.25

The overall value at low price:

$11,858.75 + $4,298.40

= $16,157.15

In conclusion, the difference in overall gain or loss:

$16,440.25 - $16,157.15 = $280.10

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Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

Answer:

396 ft²

Step-by-step explanation:

Area of the figure = area of the rectangle + area of the triangle

= L*W + ½*bh

L = 20 ft

W = 15 ft

b = 12 ft

h = 16 ft

Area of the figure = 20*15 + ½*12*16

= 300 + 96

= 396 ft²

Answer:C

Step-by-step explanation: slope of 0 will always be horizontal

The confidence interval, expressed as a trilinear inequality, is 71.6%

What does a confidence interval mean?

The range of values we see in our sample and expect to find the value that most accurately represents the population are referred to as a confidence interval.

The lower bound is 71.6% - 8.2% = 63.4% and the upper bound is 71.6% + 8.2% = 79.8%.

Thus the confidence interval, expressed as a trilinear inequality, is 63.4% < p < 79.8%, where p= 71.6%.

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Check the picture below.

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

Answer

Step-by-step explanation:

To model the variation in inches above and below the water level as a function of time in hours, we can use a cosine function.

First, we need to determine the amplitude and period of the function. The amplitude is half the difference between the high and low tides, which is (52 - 12)/2 = 20 inches. The period is the time it takes for one complete cycle, which is the time between consecutive high tides or low tides. In this case, the period is 6 hours, since high tide occurs every 6 hours.

The general form of a cosine function is:

y = A cos (Bx - C) + D

where A is the amplitude, B is the frequency (in radians per unit time), C is the phase shift (in radians), and D is the vertical shift.

Substituting the values we found, we get:

y = 20 cos ((2π/6)(x - 1.75)) + 32

where x is the time in hours since 9:15 a.m., and 1.75 is the phase shift (since high tide occurs at 3:00 p.m., which is 5 hours and 45 minutes after 9:15 a.m.). The vertical shift D is 32 inches, which is the average of the low and high tides.

Therefore, the cosine function that models the variation in inches above and below the water level as a function of time in hours since 9:15 a.m. is:

y = 20 cos ((2π/6)(x - 1.75)) + 32

Answer:

2y= 6-3x when x=0

2y= 6-3(0)

2y= 6-0

2y= 6

y= 6/2

y= 3

#i'm indonesian

#hope it helps.

Answer:

\( \boxed{y = 3}\)

Step-by-step explanation:

Given, x = 0

\( \mathsf{2y = 6 - 3x}\)

plug the value of x

⇒\( \mathsf{2y = 6 - 3 \times 0}\)

Multiply the numbers

⇒\( \mathsf{2y = 6 - 0}\)

Calculate the difference

⇒\( \mathsf{2y = 6}\)

Divide both sides of the equation by 2

⇒\( \mathsf{ \frac{2y}{2} = \frac{6}{2} }\)

Calculate

⇒\( \mathsf{y = 3}\)

Hope I helped!

Best regards!

Answer: also too tiny

Step-by-step explanation:

show a closer picture