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3 years ago

Work out 2 3/14 + 3 4/14 Give your answer as a mixed number in its simplest form.

Mathematics

2 answers:

Gelneren [198K]3 years ago

6 0

Answer :

It is 5 1/2

djverab [1.8K]3 years ago

4 0

Answer:

Simplest form is 5 1/2

Step-by-step explanation:

2 3/14 + 3 4/14 =

31/14 + 46/14 =

77/14 =

5 1/2

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123 Savings and Loan charges a monthly fee of $8 on checking accounts and an overdraft protection fee of $33. Neela's check regi

Stells [14]

Based on the calculation below, the balance on Neela's statement is $153.

<h3>How do we calculate the balance on a bank statement?</h3>

The balance on Neela's statement can be calculated using the following formula:

Balance on statement = Actual amount in the account - Monthly fee - Overdraft protection fee - Check written + Amount transferred ............ (1)

Substituting all the relevant values into equation (1), we have:

Balance on statement = $256 - $8 - $33 - $312 + $250

Balance on statement = $153

Learn more about bank statement balance here: brainly.com/question/13837329.

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8 0

2 years ago

Use Euler’s method with two steps to estimate y(1) if y(x) is the solution to dy dx = x + y, y(0) = 1. Write your answer in the

tresset_1 [31]

Answer:

1.5

Step-by-step explanation:

The Euler's method is a common approximation method for the solution of differential equations. It can be used to obtain an approximate value of a given function. The Euler's formula is:

$y_{n} = y_{n-1} + hF(_{x_{n-1},y_{n-1}})$

Therefore, n =1 will give:

$y_{1} = y_{0} + hF(x_{0},y_{0})$

h is the step size and it is equivalent to $\frac{x_{1}-x_{2}}{2} = \frac{1-0}{2}=\frac{1}{2}$

$F(x_{0},y_{0}) = x_{0} + y_{0} = 0 + 1 = 1$

$y_{1} = 1 + (0.5)(0+1) = 1 + (0.5)(1) = 1 + 0.5 = 1.5$

4 0

4 years ago

Evaluate the sum of the following finite geometric series.

rjkz [21]

Answer:

$\large\boxed{\dfrac{156}{125}\approx1.2}$

Step-by-step explanation:

<h3>Method 1:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\\\\for\ n=1\\\\\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1\\\\for\ n=2\\\\\left(\dfrac{1}{5}\right)^{2-1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}\\\\for\ n=3\\\\\left(\dfrac{1}{5}\right)^{3-1}=\left(\dfrac{1}{5}\right)^2=\dfrac{1}{25}\\\\for\ n=4\\\\\left(\dfrac{1}{5}\right)^{4-1}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{125}$

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}=\dfrac{125}{125}+\dfrac{25}{125}+\dfrac{5}{125}+\dfrac{1}{125}=\dfrac{156}{125}$

<h3>Method 2:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\to a_n=\left(\dfrac{1}{5}\right)^{n-1}\\\\\text{The formula of a sum of terms of a geometric series:}\\\\S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\r-\text{common ratio}\to r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=\left(\dfrac{1}{5}\right)^{n+1-1}=\left(\dfrac{1}{5}\right)^n\\\\r=\dfrac{\left(\frac{1}{5}\right)^n}{\left(\frac{1}{5}\right)^{n-1}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=\left(\dfrac{1}{5}\right)^{n-(n-1)}=\left(\dfrac{1}{5}\right)^{n-n+1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}$

$a_1=\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1$

$\text{Substitute}\ a_1=1,\ n=4,\ r=\dfrac{1}{5}:\\\\S_4=1\cdot\dfrac{1-\left(\frac{1}{5}\right)^4}{1-\frac{1}{5}}=\dfrac{1-\frac{1}{625}}{\frac{4}{5}}=\dfrac{624}{625}\cdot\dfrac{5}{4}=\dfrac{156}{125}$

5 0

4 years ago

Quiz

yan [13]

Answer:

leaving each unit price as an unrounded decimal

7 0

3 years ago

Alexandra is following a recipe that requires 3/4 a cup of water she needs to make 10 servings how many cups of water does Alexa

Licemer1 [7]

Answer:

Amount of water needed for 10 serving = 7.5 cup

Step-by-step explanation:

Given:

1 serving needed water = 3/4 cup

Find:

Amount of water needed for 10 serving

Computation:

Amount of water needed for 10 serving = 10[3/4]

Amount of water needed for 10 serving = 7.5 cup

6 0

3 years ago

Work out 2 3/14 + 3 4/14 Give your answer as a mixed number in its simplest form. ​

Work out 2 3/14 + 3 4/14 Give your answer as a mixed number in its simplest form.