a building contractor gives $12,000 promissory note to a plumber who has loaned him $12,000. The note is due in 9 months with interest at 9%. six months after the note is signed, the plumber sells it to a bank. If the bank gets a 10% return on its investment, how much will the plumber receive ? Will it be enough to pay a bill for $12,104? how much will the plumbee receive ? round to nearest cent as needed

An angle whose vertex is on the circle and sides are chords inscribed angle.

An inscribed angle is one whose vertex is on a circle and whose sides intersect the circle (the sides contain circle chords).

An inscribed angle's size is equal to half the size of the arc it intersects.

Even when the vertex of an inscribed angle is moved around the circle, the angle remains the same. (inside the same chord side)

When the side holding the chord is a Diameter, the inscribed angle is a right angle.

Know more about inscribed angle

https://brainly.com/question/3538263

#SPJ4

Answer:

It will cost 66 dollars for 12 tickets

Step-by-step explanation:

We can write a ratio to solve.

16.50       x

-------- = ----------

3            12

Using cross products

12 * 16.50 = 3x

198 = 3x

66 = x

It will cost 66 dollars for 12 tickets

Answer:

Change ≈ 284.6154%

Step-by-step explanation:

To calculate the percent change of two numbers such as 450 to 117, you use the Percent Change Formula, where a is the start value and b is the end value.

(b-a)/a x 100

When we insert a = 450 and b = 117 in the formula above, then we get the following that we can simplify and solve to get the percent change from 450 to 117.

(117-45)/450 x 100

-333/450 x 100

Change = -74%

Now you know that the percentage change from 450 to 117 is -74%. Since it is a negative answer, it means that if you subtract 74% from 450, then you will get 117.

Answer:

30

Step-by-step explanation:

The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

Know more about weight here:

https://brainly.com/question/31659519

#SPJ11

The sample proportion (360 out of 1200) can be used to estimate the population proportion, and statistical tests such as a one-sample proportion test or a Z-test can be applied to evaluate the hypotheses and determine the significance of the results.

The null and alternative hypotheses that should be used in this scenario are as follows:

Null Hypothesis (H₀): The proportion of families interested in the program is still 20% or less.

Alternative Hypothesis (H₁): The proportion of families interested in the program has increased, i.e., it is greater than 20%.

Symbolically, we can represent the hypotheses as:

H₀: p ≤ 0.20 (proportion is 20% or less)

H₁: p > 0.20 (proportion is greater than 20%)

In this case, "p" represents the population proportion of families in New Jersey interested in the renewable energy program.

To determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis, a hypothesis test can be conducted using appropriate statistical methods.

Know more about hypotheses here:

https://brainly.com/question/28331914

#SPJ11

Given an exponential function f(x) where

f(-1) = 26 and

f(6.5) = 14.

We have to determine the value of f(5), rounded to the nearest hundredth.

An exponential function can be represented as f(x) = ab^x where a and b are constants.

We need to find the values of a and b.

Let's start with f(-1) = 26:

f(-1) = ab^-1

⇒ 26 = a/b. ......(1)

Similarly, f(6.5) = 14:

f(6.5) = ab^6.5

⇒ 14 = ab^6.5 .......(2)

Let's divide equation (2) by equation (1) to find the value of b.

14/26 = (ab^6.5)/(a/b)

⇒ 0.54 = b^6.5

⇒ b = 0.9196

Substitute this value of b in equation (1) to find the value of a:

26 = a/0.9196

⇒ a = 23.90

Therefore, the equation of the exponential function is

f(x) = 23.90 × (0.9196)^x.

To find f(5), substitute x = 5:

f(5) = 23.90 × (0.9196)^5

≈ 15.15

In the given problem, we are given an exponential function, f(x) where

f(-1) = 26 and

f(6.5) = 14

and we are required to find the value of f(5), rounded to the nearest hundredth

Thus, the value of f(5) is approximately equal to 15.15, rounded to the nearest hundredth.

In the given problem, we have successfully found the value of f(5), rounded to the nearest hundredth. We used the formula of the exponential function f(x) = ab^x and solved the equations to find the values of a and b. Finally, we substituted x = 5 in the equation to find the value of f(5).

To know more about exponential function visit:

brainly.com/question/29287497

#SPJ11

The simplified radical expression by rationalizing the denominator is, \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\) = $\frac{-6\sqrt{5y}}{5y}$.

To simplify the radical expression by rationalizing the denominator, multiply both numerator and denominator by the conjugate of the denominator.

The given radical expression is \($\frac{-6}{\sqrt{5y}}$\).

Rationalizing the denominator

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of the denominator, \($\sqrt{5y}$\)

Note that multiplying the conjugate of the denominator is like squaring a binomial:

This simplifies to:

(-6√(5y))/(√(5y) * √(5y))

The denominator simplifies to:

√(5y) * √(5y) = √(5y)^2 = 5y

So, the expression becomes:

(-6√(5y))/(5y)

Therefore, the simplified expression, after rationalizing the denominator, is (-6√(5y))/(5y).

\($(a-b)(a+b)=a^2-b^2$\)

This is what we will do to rationalize the denominator in this problem.

We will multiply the numerator and denominator by the conjugate of the denominator, which is \($\sqrt{5y}$\).

Multiplying both the numerator and denominator by \($\sqrt{5y}$\), we get \(\frac{-6}{\sqrt{5y}}\times\frac{\sqrt{5y}}{\sqrt{5y}}\) = \(\frac{-6\sqrt{5y}}{5y}$$\)

For more related questions on simplified radical:

https://brainly.com/question/14923091

#SPJ8

Answer:

16777216

Step-by-step explanation:

64 times 64 equals 4096. 4096 to the power of 2 is 16777216.

To find the x-intercept, we set y = 0 and solve for x. Substituting y = 0 into the equation 3x - 4y = -12, we have:

3x - 4(0) = -12

3x = -12

x = -4

Therefore, the x-intercept is (-4, 0), which means the line crosses the x-axis at -4.

To find the y-intercept, we set x = 0 and solve for y. Substituting x = 0 into the equation, we have:

3(0) - 4y = -12

-4y = -12

y = 3

So the y-intercept is (0, 3), indicating that the line crosses the y-axis at the point (0, 3).

The slope-intercept form of the equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation 3x - 4y = -12 can be rearranged to solve for y:

-4y = -3x - 12

y = (3/4)x + 3

Thus, the slope of the line is 3/4, and the y-intercept is 3.

Plotting the x-intercept (-4, 0) and the y-intercept (0, 3) on a coordinate plane, and connecting them with a straight line using the slope-intercept form, we obtain a line that has a positive slope and passes through these two points. The graph illustrates a linear relationship between x and y, represented by the equation 3x - 4y = -12.

To learn more about slope : brainly.com/question/3605446

#SPJ11

Answer: $36

Step-by-step explanation:

Bill is $40, the 25% off coupon is used, and the 20% tip is left.

Step 1: Find 25% of 40

is/40=25/100 ------> 40(25)/100=10

Step 2: Find the new bill price after discount

40-10=30

Step 3: Find the 20% tip of 30

is/30=20/100 ---------> 30(20)/100=6

Step 4: Add the tip with the restaurant bill

30+6=$36

Answer:

3) 45°

4) 135°

5) <WAX and <XAZ

6) <WAX and <WAU

7) <WAX and <YAU

8) <WAX and <XAZ

Step-by-step explanation:

3) 45°

4) 135°

5) <WAX and <XAZ

6) <WAX and <WAU

7) <WAX and <YAU

8) <WAX and <XAZ

The required expression model is given as x + 8 / 6. Option B is correct.

Given that,
To determine the expression represents the calculation the sum of x and 8 is divided by 6

The equation model has defined as the model of the given situation in the form of an equation using variables and constants.

here,
According to the question,
The sum of x and 8 = x + 8
divided by 6
= x + 8 / 6

Thus, the required expression model is given as x + 8 / 6. Option B is correct.

Learn more about models here:
https://brainly.com/question/22591166
#SPJ2

Answer:

j.35 times

Step-by-step explanation:

Answer:

2 ...

Step-by-step explanation:

since LM = 8

and LN = 10

therefore MN = LN - LM .

MN = 10 - 8 .

MN = 2

If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

Learn more about mean

https://brainly.com/question/1136789

#SPJ1

Answer:

70 degrees.

Step-by-step explanation:

They are vertical angles, and vertical angles are always congruent.

Answer:

x = 41.8*

Step-by-step explanation:

sinx = 16/24

Answer: the answer is B

Step-by-step explanation: sorry if im wrong

Answer:

C

Step-by-step explanation:

convert option a to the lowest term

10 : 35 = 2: 7 (divide both ratios by 5)

8 : 28 = 2 : 7 (divide both ratios by 7)

convert option b to the lowest term

4 : 10 = 2 : 5  (divide both ratios by 2)

10 : 25 = 2 : 5  (divide both ratios by 5)

option c

divide 40km/h by 60 to convert to km / min

40/60 = 0.7 not equivalent

option d

determine cost of 1 litre

2.3/1.5 = 1.53

determine cost of 7.5 litres

1.53 x 7.5 = 11.5

Tim deposited $73 in a piggy bank every month for three months and had a total of $233. To find how much money Tim had in the piggy bank before starting the deposits, we need to determine the initial amount.

The linear function representing this situation is S(t) = 73t + b, where S(t) is the amount of money in the piggy bank after t months, and b is the initial amount. To find the value of t where S(t) = 598, we can substitute S(t) with 598 in the linear function and solve for t.

The ordered pair representing this value is (t, S(t)) = (8.21, 598). This means that after depositing $73 per month for approximately 8.21 months, Tim will have enough money for his vacation.

Given that Tim deposited $73 in the piggy bank every month for three months and had a total of $233, we can use this information to determine the initial amount of money in the piggy bank before starting the deposits. The linear function representing this situation is S(t) = 73t + b, where S(t) is the amount of money in the piggy bank after t months, and b is the initial amount.

To find the initial amount, we substitute t = 0 into the linear function:

S(0) = 73(0) + b,

233 = 0 + b,

b = 233.

Therefore, the initial amount of money in the piggy bank before Tim started making monthly deposits was $233.

To find the value of t where S(t) = 598, we substitute S(t) with 598 in the linear function:

598 = 73t + 233,

73t = 598 - 233,

73t = 365,

t = 365/73,

t ≈ 5.

The ordered pair representing this value is (t, S(t)) = (8.21, 598). This means that after depositing $73 per month for approximately 8.21 months, Tim will have enough money, $598, for his vacation.

Learn more about linear here:

https://brainly.com/question/29205018

#SPJ11

Answer:

5.428571428571429

Step-by-step explanation: just do 38 divided by 7 on a calculator

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

Learn more about probability:

brainly.com/question/13604758

#SPJ11

The incorrect expression for slope is Option(B) and Option(C) .

The slope of a straight line gives the measure of its steepness or inclination and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

The slope for a straight line is represent as -

m = run/rise = (y2 - y1)/(x2 - x1) = Δy/Δx .

where x1,x2 are x coordinates of the straight line and y2,y1 are y-coordinates of the straight line.

Thus Option(B) is not the correct expression as (x2 - x1)/(y2 - y1) is not correct.

Also in Option(C), it is said that the change in dependent variable to change in independent variable , where we do not know whether x and y are dependent or independent variable to measure the slope.

Thus Option(C) is also incorrect.

Therefore, the incorrect expression for slope is Option(B) and Option(C) .

To learn more about slope of a straight line, refer -

https://brainly.com/question/14482450

#SPJ2

The factorization of 12x³+60x²+75x is 3x(2x+5)² ( optionD).

Factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

To factorize, we have to find the common factor between the terms and bring it out. For example in 2x+6, the common factor is 2,

therefore 2x+6 = 2( x+3)

Factorising 12x³+60x²+75x is

3x( 4x²+20x+25)

4x² +20x +25 can also be further factorize

= 4x²+10x+10x+25

= (4x²+10x) (10x+25)

2x( 2x+5) 5(2x+5)

4x²+10x+25 =( 2x+5)²

therefore 12x³+60x²+75x = 3x(2x+5)²

learn more about factorization from

https://brainly.com/question/25829061

#SPJ1

Answer:

Its y=1/2x +2(the second one)

Step-by-step explanation:

Answer: its the second one  y= 1/2x + 2

Step-by-step explanation: