Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave

Kristina invests a total of $28,500 in two accounts. The first account earned a rate of return of 10% (after a year). However, t

zhenek [66]

$17500 was invested in the first account at a rate of return of 10% (after a year) while $11000 was invested in the second account at a rate of 4% loss over the same period.

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

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 10% and y represent the amount of money invested at a loss of 4%, hence:

x + y = 28500 (1)

Also:

(x * 1 year * 0.1) + (y * 1 year * -0.04) = 1310

0.1x - 0.04y = 1310 (2)

From equation 1 and 2:

x = 17500, y = 11000

$17500 was invested in the first account at a rate of return of 10% (after a year) while $11000 was invested in the second account at a rate of 4% loss over the same period.

Find out more on equation at: brainly.com/question/2972832

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7 0

2 years ago

The sum of 13 and Rhonda's height is 74.<br> Use the variable r to represent Rhonda's height.

VashaNatasha [74]

The equation is 13+r = 74. This is because the term "sum" means we add two or more values.

That equation solves to r = 61 after subtracting 13 from both sides.

Assuming the r value is her height in inches, it means Rhonda is 61 inches tall (i.e. 5 feet, 1 inch)

7 0

3 years ago

Which of the following is a solution to the following system of inequalities?

iren2701 [21]

Option D: $(0,3)$ is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $$y$

Thus, we have,

Option A: $(1,-1)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-1>0$ is not true.

$$y\leq 2 x+3 \implies -1\leq 5$ is true.

Since, only one equation satisfies the condition, the coordinate $(1,-1)$ is not a solution.

Hence, Option A is not the correct answer.

Option B: $(-4,0)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies0>5$ is not true.

$$y\leq 2 x+3 \implies 0\leq -5$ is not true.

Since, both the equations does not satisfy the condition, the coordinate $(-4,0)$ is not a solution.

Hence, Option B is not the correct answer.

Option C: $(3,-2)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-2>-2$ is not true.

$$y\leq 2 x+3 \implies -2\leq 9$ is true.

Since, only one equation satisfies the condition, the coordinate $(3,-2)$ is not a solution.

Hence, Option C is not the correct answer.

Option D: $(0,3)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies3>1$ is true.

$$y\leq 2 x+3 \implies 3\leq 3$ is true.

Since, both equation satisfies the condition, the coordinate $(0,3)$ is a solution.

Hence, Option D is the correct answer.

4 0

3 years ago

What is 1/2 of 1/3 of 1/5 of 60?

oee [108]

IT supposed to be 2 because 1/2 1/3 of 1/5 of 60 is "2".

3 0

3 years ago

Read 2 more answers

How do you write an equation of a line in standard form if you have two points?

ziro4ka [17]

First find the slope using the slope formula M= (y2-y1) divided by (x2-x1) and then take the slope and and the 1st set of points (x1, y1) and plug it into the slope intercept formula which is y-y1=m(x-x1), then you need to add or subtract variables to correlate with the standard form formula which is ax + by = c.
Hope that helps!

3 0

4 years ago

Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave​

Sarah's restaurant bill came to us18.80 she usually leaves a 15%tip.how much tip did she leave