How can simple interest make saving money easier?
a.
Because it is simple, you have to do fewer calculations than if you saved money without it.
b.
Simple interest allows your money to earn money, so you have to save less.
c.
You are more motivated to reach goals that you are interested in, so you are less likely to abandon your savings plan.
d.
A bank with a simple interest savings plan will automatically transfer money from your paycheck to your savings account, letting you save without any extra effort.

Answer:

Approximately 96%

Step-by-step explanation:

90/94=45/47. 45/47 is approximately 96%

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

1. No, a decade is 10 years

2. No way of telling

3. No way of telling

Step-by-step explanation:

Answer:

Step-by-step explanation:

sina=opposite/hypotenuse=7/25

cosa=adjacent/hypotenuse=24/25

tana=opposite/adjacent=7/24

sinc=opposite/hypotenuse=24/25

cosc=adjacent/hypotenuse=7/25

tanc=opposite/adjacent=24/7

Descriptive statistics summarize numbers, and inferential statistics determine whether the results are significant.

Descriptive statistics are used to summarize and describe a set of data. They include measures such as the mean, median, and standard deviation, which provide information about the central tendency and spread of the data.

Inferential statistics, on the other hand, are used to draw conclusions about a population based on a sample of data. They include tests such as the t-test and ANOVA, which are used to determine whether the results of a study are statistically significant, or whether they could have occurred by chance.

So, Descriptive statistics summarize numbers, and inferential statistics determine whether the results are significant.

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Answer:

Unfortunately, without additional information or data, it is not possible to estimate the number of people running right now using the given equation N/Ntotal = T/Ttotal.

The equation only relates the fraction of people engaged in an activity to the fraction of time spent on that activity. It does not provide any information about the actual number of people or the total population size.

To estimate the number of people running right now, we would need additional data, such as the total population size, the fraction of people who typically engage in running as an activity, and the total time spent running by the people who do engage in the activity.

We can calculate the approximate number of persons running using the formula \(N/N_t_o_t_a_l = T/T_t_o_t_a_l\) and the estimated fraction of people running (T/Ttotal) coupled with data on the total population (Ntotal).

A fraction is a mathematical unit used to express a portion of an integer or a ratio of two integers. It consists of a horizontal line between the numerator and denominator of two numbers.

We may use the formula provided to get the approximate number of individuals running at any one time if we know the entire population (Ntotal) and the entire amount of time (Ttotal) that people are engaged in activities.

More specifically, we have to know what percentage of total time (T) people spend jogging at this time (Ttotal). To calculate the approximate total number of runners (N), we can use the equation N/Ntotal = T/Ttotal.

We may make use of information gathered through surveys, fitness devices, or even other sources that monitor exercise behaviors to determine the percentage of time individuals devote to running.

We can calculate that roughly 20,833 individuals are currently jogging (1/48 of 1 million people), for instance, if there are 1 million people in total and we assume that 1/48 of them are runners.

Thus, we can calculate the approximate number of persons running using the formula \(N/N_t_o_t_a_l = T/T_t_o_t_a_l\) and the estimated fraction of people running (T/Ttotal) coupled with data on the total population (Ntotal).

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On average, each family member ran 6 km in the relay race.

What is the mean distance?

The extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness. a linear extent of space: Seven miles is a distance too great to walk in an hour. an expanse; area: A vast distance of water surrounding the ship.

To find the mean distance, you need to add up all the distances run by each family member and divide by the number of family members.

The total distance run by all the family members is:

11 + 4 + 8 + 2 + 5 = 30

So the mean distance is:

30 km / 5 family members = 6 km/family member

Hence, on average, each family member ran 6 km in the relay race.

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Answer:

0.4 miles

Step-by-step explanation:

kiran will have walked 3 miles while clare 3.4 so 3.4-3=0.4

Answer:

5/21

Step-by-step explanation:

add the two unshaded portions and subtract that from 21/21, or 1 whole

3/7 = 9/21

1/3 = 7/21

sum of unshaded portions is equal to 16/21

21/21 - 16/21 = 5/21

Answer:

I think it may be 2/4 or 4/10

not to sure....I forgot how to do this but yeah.. don't go with my answers to be safe.

Step-by-step explanation:

3+1=4

3-1=2

7+3=10

3-7=4

Using a system of equations, it is found that:

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

\(x + y = 108\)

Since \(x = 2y\)

\(2y + y = 108\)

\(3y = 108\)

\(y = \frac{108}{3}\)

\(y = 36\)

\(x = 2y = 2(36) = 72\)

Zoe is 36 inches tall.

Claire is 72 inches tall.

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The solution to the equations are b = 15, b = 22, c = 21 and n = 28

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

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.

What is Compound interest?

Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.

Now,

The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.

The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is

P(x) = pˣ (1-p)ⁿ⁻ˣ

where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.

The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is

FV = PV x (1 + r/n)ⁿˣ

where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.

While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.

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The binomial probability mass function formula and the compound interest formula are not directly related to each other.

The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:

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

where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.

While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.

The decimal value is exact without any rounding.

==========================================================

Explanation:

If Jackson saves 22%, then he pays the remaining 100% - 22% = 78%, which leads to the decimal value 0.78

An increase of 6% leads to 100%+6% = 106% and that converts to 1.06

Multiply those decimal values: 0.78*1.06 = 0.8268; this trick is useful to chain together multiple discounts and/or tax increases.

Therefore, the final cost expression is 0.8268y where the variable y is the original price before the discount and taxes.

---------

Extra info:

The expression 0.8268y tells us that Jackson is paying 82.68% of the original price. Note how 100% - 82.68% = 17.32%

This means Jackson is getting a real discount of 17.32% after the taxes have been considered.

Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

Answer:

2500

Step-by-step explanation:

$10 times 52 is $520 a day so multiply 520 times 5 and you get $2600 so round that and it is $2500

Answer: $7

Step-by-step explanation: So $27 -$6= $21.Then you Divide by 3 and you will get $7 for each beaker.

Answer:

$7

Step-by-step explanation:

In order to find the total cost of the 3 beakers, take away $6 from the total amount Adam has.

$27 - $6 = $21

$21 is the amount needed for 3 beakers, hence to find 1 beaker, you just have to divide $21 by 3.

$21 ÷ 3 = $7

Therefore, each beaker costs $7.

Answer:

  a.  x = 9

  b.  GH = 30; GK = 20

Step-by-step explanation:

An angle bisector in a triangle divides the sides proportionally.

In this triangle, that means ...

  (3x +3)/18 = (3x -7)/12

  2(3x +3) = 3(3x -7) . . . . . . . multiply by 36

  6x +6 = 9x -21 . . . . . . . . . eliminate parentheses

  27 = 3x . . . . . . . . . . . . . . add 21 -6x

  x = 9 . . . . . . . . . . . . . . . divide by 3

__

The segment lengths are found by substituting the value of 3x in each of the given expressions:

  GH = 3x +3 = 27 +3 = 30

  GK = 3x -7 = 27 -7 = 20

Answer:

Option (3)

Step-by-step explanation:

Since, every student is responsible for the caring of 4 animals during every hour,

Number of animals cared for ∝ Number of hours spent at shelter  

a ∝ h

a = kh

Here 'k' = proportionality constant

For h = 1 and a = 4,

k = \(\frac{h}{a}=\frac{4}{1}\)

k = 4

a = 4h

By this equation,

For h = 2,

a = 8

For h = 3,

a = 12

For h = 4,

a = 16,

For h = 5,

a = 20

Since, for every input value there is a different output value,

Diagram shows a function.

Therefore, Option (3) will be the correct option.

Answer:

how you find it id dive the radius by the undercore of the problem

Step-by-step explanation:

Answer:

6x + 8

Step-by-step explanation:

1.5(3x + 4) + 0.25(6x + 8)  

Distribute

4.5x + 6 + 1.5x + 2

Now, combine like terms

6x + 8

Hope this helps!

Answer:

1 stack of 36

Step-by-step explanation:

First find how much one carton can hold

length is 45

width is 20

height is 40

40 * 20 * 45 = 36,000

Then find how much volume each box has

length is 20

width is 10

height is 5

5 * 10 * 20 = 1000

so each box is 1000 volume

1 stack of 36 is good

The numeric value of the function f(x) = 2x² - x + 3 at x = x + 1 is given as follows:

f(x + 1) = 2x² + 3x + 4.

To obtain the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

In this problem, the function is defined as follows:

f(x) = 2x² - x + 3.

The point at which the numeric value is calculated as given by:

x = x + 1.

Hence the numeric value is obtaining replacing the two instances of x in the function by x + 1, as follows:

f(x + 1) = 2(x + 1)² - (x + 1) + 3

f(x + 1) = 2(x² + 2x + 1) - x - 1 + 3

f(x + 1) = 2x² + 4x + 2 - x - 1 + 3

f(x + 1) = 2x² + 3x + 4.

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The proportionality constant, k, in this case is 0.00043.

a. The proportionality relationship between body mass index (B), weight (w), and height (h) can be expressed as follows:

B ∝ w * \(h^{-2\)

where k is the constant of proportionality.

b. To find the value of the constant of proportionality, k, we can substitute the known values into the equation and solve for k.

28.4 = k * 198 * \(70^{-2\)

Solving for k gives:

k = 0.00043

Therefore, the proportionality constant, k, in this case is 0.00043.

A proportionality constant is a number that is used to indicate the ratio of two different variables that are proportional to each other. It is also known as a scaling factor or a constant of proportionality. It is usually represented by the letter k.

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Answer:

39 ADULT tickets

Step-by-step explanation:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65

3,   6,  9,  12,  15, 18,  21,  24,  27, 30, 33, 36, 39

It is impossible to answer this question as it is incomplete and does not provide sufficient information. In order to answer the question, I would need to know the context in which the given information is being used, as well as the criteria for determining the element at address h31. Without this information, it is not possible to accurately answer the question.

i have a easy way but u cant do it it needed 2 pages