A cyclic quadrilateral is shown. x:y=3:7. work out the size of angle z

zalisa [80]

5k²-8k-45k+72 = 5k²-53k+72

Answer: 5k² - 53k + 72

7 0

4 years ago

If an investment account starts with $3,900, and grows with 2.1% interest, compounded annually, how much is the account worth af

zalisa [80]

Answer:

$5327

Step-by-step explanation:

Use the formula for calculating compound interest

A(t)=P(1+r/n)^n⋅t,

where A(t) is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded each year, and t is the time (in years). We are given that P=$3,900, r=0.021, n=1, and t=15. Substituting the values into the formula and using a calculator to evaluate, we find

A(t)=P(1+r/n)^n⋅t = $3,900(1+0.0211)^(15)(1) ≈ $5,326.61

So the final answer is $5,327.

3 0

3 years ago

Write each expression in simplest form. (x²/x⁻¹¹)¹/₃

aleksklad [387]

The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is $\sqrt[3]{}$ (x¹³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/x⁻¹¹)¹/₃

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

(x⁽²⁻⁽⁻¹¹⁾)¹/₃

(x⁽²⁺¹¹⁾)¹/₃

(x¹³)¹/₃

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:

x⁽¹³*¹/₃⁾

x⁽¹³/₃⁾

As we have a fractional exponent, you must convert the exponent to root:

$\sqrt[3]{}$ (x¹³)

<h3>What is an exponent?</h3>

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

Learn more about exponent at: brainly.com/question/847241

#SPJ4

8 0

1 year ago

A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside

Taya2010 [7]

Answer:

For this case we have information from a sample of n =20 times of temperatures of the oven

The parameter of interest is $\mu$ population temperature mean of the oven

And the statistic is calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

With n = 20 and represent the mean temperature of the oven

The correct option for this case is:

mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

Step-by-step explanation:

Previous concepts

Parameter represent a property of a population and is calculated with the information of all the populatio. Some examples are the population mean and deviation $\mu,\sigma$

Statistic represent a propoerty of a sample and are used used in order to describe the population parameters, since represent estimators of the real parameters.

Solution to the problem

For this case we have information from a sample of n =20 times of temperatures of the oven

The parameter of interest is $\mu$ population temperature mean of the oven

And the statistic is calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

With n = 20 and represent the mean temperature of the oven

The correct option for this case is:

mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

8 0

3 years ago

Read 2 more answers

Calculate the area of a circle with radius of 2cm (1dp)

Shalnov [3]

Pi r^2 = area of a circle so therefore answer is 12.6cm^2

7 0

3 years ago