A right triangle is shown

What is the final amount if 660 is increased by 1% followed by a further 1% increase? Give your answer rounded to 2 DP.

Delvig [45]

Answer:

$673.27

Step-by-step explanation:

Initial amount = $660

1% Increase = $660*(1+1%)

1% Increase = $660+$6.6

1% Increase = $666.6

Further 1% Increase = $666.6*(1+1%)

Further 1% Increase = $666.6 + $6.666

Further 1% Increase = $673.266

Further 1% Increase = $673.27

3 0

2 years ago

Please help me with this question. Algebra 2 is hard!!

trapecia [35]

Answer:

domain: {x ∈ ℝ : x ≤ 5}
range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

<u>Domain</u>

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

-3x +15 ≥ 0

15 ≥ 3x . . . . . . add 3x

5 ≥ x . . . . . . . . divide by 3

x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

__

<u>Range</u>

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

<em>Comment on domain/range problems</em>

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

3 0

3 years ago

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

tiny-mole [99]

$\frac{7}{24}$ ÷ $\frac{35}{48}$
Multiply $\frac{7}{24}$ by the reciprocal of $\frac{35}{48}$ , which is $\frac{48}{35}$

= $\frac{7}{24}$ × $\frac{48}{35}$
= $\frac{336}{840}$

We can simplify it further:
The greatest common factor here is 168
$\frac{336/168}{840/168}$

= $\frac{2}{5}$

4 0

3 years ago

Is -33 irrational or rational?

vladimir2022 [97]

-33 is a rational number. It is an integer with a definitive stopping point (by this I mean it is not a decimal number with endless repeating digits).

4 0

3 years ago

The little Mexican restaurant sells only two kinds of beef burritos mucho beef sandwich Lucho beef last week the restaurant orde

Finger [1]

Answer:

Cost of a single Mucho beef burrito: $\$5.5$

Cost of a double Mucho beef burrito: $\$6.5$

Step-by-step explanation:

<h3> The exercise is: "The Little Mexican restaurant sells only two kinds of beef burritos: Mucho beef and Mucho Mucho beef. Last week in the restaurant sold 16 orders of the single Mucho variety and 22 orders of the double Mucho. If the restaurant sold $231 Worth of beef burritos last week and the single neutral kind cost $1 Less than the double Mucho, how much did each type of burrito cost?"</h3>

Let be "x" the the cost in dollars of a single Mucho beef burrito and "y" the cost in dollars of a double Mucho burrito.

Set a system of equations:

$\left \{ {{16x+22y=231} \atop {x=y-1}} \right.$

To solve this system you can apply the Substitution Method:

1. Substitute the second equation into the first equation and solve for "y":

$16(y-1)+22y=231\\\\16y-16+22y=231\\\\38y=231+16\\\\y=\frac{247}{38}\\\\y=6.5$

2. Substitute the value of "y" into the second equation and evaluate in order to find the value of "x":

$x=6.5-1\\\\x=5.5$

5 0

3 years ago