A baby elephant weighs 250 lb,

At Camp Roan, 70% of the kids are taking horseback riding lessons. If 210 kids are taking horseback riding lessons, how many kid

babymother [125]

Answer:

total kids in the camp = 300

Step-by-step explanation:

let the number of kids in the camp be x

from the above situation, we get

=》70% of all kids in the camp is 210

=》

$\frac{70}{100} \times x = 210$

=》

$x = 210 \times \frac{100}{70}$

=》

$x = 3 \times 100$

=》

$x = 300$

4 0

3 years ago

How can proportional reasoning help solve a problem?

Anestetic [448]

Answer: Proportional reasoning compares ratios to answer questions.

6 0

3 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

or

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

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5 0

3 years ago

The linear regression method seeks to predict values of a(n) variable based on values of a(n) variable.

leva [86]

The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n) independent variable.

According to the statement

we have to explain the linear regression method and explain the way by which this method is used to predict the values.

So, For this purpose we know that the

Linear regression is the most basic and commonly used predictive analysis. Regression estimates are used to describe data and to explain the relationship.

And

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

from these definitions it is clear that the there is a presence of two types of variables which are dependent and independent variables.

So, The linear regression method seeks to predict values of a(n) dependent variable based on values of a(n) independent variable.

Learn more about Linear regression here brainly.com/question/25987747

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5 0

2 years ago

A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library

Zielflug [23.3K]

There approximately 7133 books in the library;

Data;

Let the number of total books = x
Number of fictional books = 3/4x

<h3>Word Problem</h3>

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

$\frac{3x}{4} + 592 = \frac{5}{6}x$

Let collect like terms and solve

$\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53$

There approximately 7133 books in the library;

Learn more on word problems here;

brainly.com/question/13818690

4 0

2 years ago