Krista and Nick put a down payment of 20% on the purchase of their house, and then financed $200,000. What was the purchase price of the house?

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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The number of times an action is performed between every other person in a group can be calculated using the relation \( \frac{n(n - 1)} {2}\) which is 136 times

Using the formular ;

\( \frac{n(n - 1)} {2} = \frac{17(17 - 1)} {2}\)

\( \frac{17(17 - 1)} {2} = \frac{17 \times 16} {2}\)

\( \frac{17 \times 16} {2} = \frac{272}{2} = 136 \)

Therefore, the all the 17 people present in the gathering hugged a total of 136 times

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Answer: 8

Step-by-step explanation:

Answer:

y=8.25x-15

Step-by-step explanation:

From the information provided, the algebraic expression will need to indicate that your earnings during the first week, y, would be equal to multiplying $8.25 for the number of hours, x, minus $15. According to that, the algebraic expression is:

y=8.25x-15

The correct options include:

b. In the fifth year Mariah's balance will be higher than Colton's

c. Mariahs beginning balance was 400 and coltons beginning balance was 500.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, from the table

(0, 500), (1, 550), (2, 600), (3, 650) and (4, 700)

The equations for the given points is y=500+50t

Put t=0, 1, 2, 3, 4 in f(t)=400(1.15)t

When t=0, f(0)=$0

When t=1,

f(1)=400×1.15×1

= $460

When t=2,

f(2)=400×1.15×2

= $920

When t=3,

f(3)=400×1.15×3

= $1380

When t=4,

f(4)=400×1.15×4

= $1840

Fifth year:

The balance in Mariah account is

f(t)=400(1.15)t

⇒ f(5)=400×1.15×5

= $2300

The balance in Colton account is

y=500+50t

⇒ y=500+50(5)

= $750

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The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer: 9 × 10^11

Step-by-step explanation:

An index number is simply referred to a number that is being raised to a particular power or index which tells us the amount of times the number will be multiplied by itself. An example is 10³ which means we have to multiply 10 thrice and this will be:

= 10 × 10 × 10

= 1000

For 866,214,000,000, this can be expressed as:

= 8.66214 × 10^11

We should note that 8.66214 can be changed to the nearest whole number which will be approximated to 9.

Therefore, the answer will be:

= 9 × 10^11

Using rounding and scientific notation, it is found that the best estimate of 866,214,000,000 is: \(\mathbf{9 \times 10^{11}}\)

-----------------

\(\mathbf{9 \times 10^{11}}\)

Which is the first option.

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Answer:

radius

Step-by-step explanation:

Answer:

It is the radius

Step-by-step explanation:

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

I think its C

Step-by-step explanation:

Answer:

C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

2x - 4 < 4x + 8

Step 2: Translate

"2x" is the product of two and a number x

" - 4" is four less

"<" is less than

"4x" is the product of four and a number x

" + 8" is increased by 8

Step 3: Combine

The difference between the product of two and a number x and 4 is less than the sum of the product of four and a number x and 8.

Step 4: Reword

Four less than the product of two and a number is less than the product of four and the same number increased by eight.

Answer:

C

Step-by-step explanation:

four less = -4

than the product of two and a number = 2·x = 2x

is less than = <

the product of four and the same number = 4·x = 4x

increased by eight. = +8

Answer:

Step-by-step explanation:

Answer:

si un punto esta sobre el eje x cual es su valor de cordenada

Step-by-step explanation:

360

Yes it can as 30 pounds is 13.6078 kg

1 pound is 0.453592 so u just have to multiple it with 30

0.453592 x 30= 13.6078

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

Answer:

\(\displaystyle \frac{7}{37}\)

Step-by-step explanation:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}\)

I am joyous to assist you at any time.

Answer:

#1 - correct

#2 - correct

#3 - 4\(\frac{1}{4}\)

#4 - 7 \(\frac{1}{2}\)

Step-by-step explanation:

Hope this helps. Can I have Brainliest too?

Answer:

1. 2/3

2. 18/49

3. 4 1/2

4. 7 1/2

Step-by-step explanation:

I just did KCF(Keep,Change,Flip)

heres how i done it

3/7 x 7/2 = 21/14 =2/3

hope it helps :)

The rate of cloth as per question is Rs 50 per meter, then the price of 5-meter wide cloth will be 250 rupees.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given data in the question,

The rate for cloth is Rs 50 per meter.

Then, the rate of 5-meter-wide cloth will be,

5 × 50 = 250 rupees.

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Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

Answer:

Step-by-step explanation:

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

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

Answer:

A Type I error would occur if there was no evidence of an improvement on the national exam but there really was improvement.

Step-by-step explanation:

A type 1 error simply occurs when we incorrectly reject a true null hypothesis. In the scenario above, An experiment was conducted in other it know if there is sufficient evidence to support a claim that a new teaching method developed improves students score. If this claim is actually true in the real sense. However, after conducting a statistical test, we conuded that there was no sufficient evidence to support her claim of improvement using the new method, hence, the claim was rejected. By rejecting the claim, a true null has been rejected. Hence, a type 1 error has been committed.

Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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Hello!

\(\large\boxed{slope = 2}\)

Find the slope using the slope formula:

\(slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

We can use two points from the table and plug these into the equation. Use the points (5, 10) and (10, 20) to solve:

\(slope = \frac{20 - 10}{10 - 5}\)

Simplify:

\(slope = \frac{10}{5}\)

\(slope = 2\)

Answer:

a) y=17

b) m<RTA=49°

Step-by-step explanation:

3y-2+2y+7=90

5y+5=90

5y=85

y=17

m<RTA = m<CEA = 3(17)-2=49