Ask question

Ask question

All categories

3 years ago

15

Amber charges $8.25 per hour to baby-sit. One Saturday she baby sat for 3.5 hours in the morning and 2.25 hours in the afternoon

. To the nearest cent how much did she earn on Saturday?

1 answer:

maks197457 [2]3 years ago

3 0

Answer:

$47.44

Step-by-step explanation:

The sum of hours worked= 3.5hrs + 2.25hrs= 5.75hrs

Money earnt= rate x no. hours= 5.75hrs * $8.25/hr = $47.4375

Round to nearest cent = $47.44

You might be interested in

a section of a stained glass window is shaped like a parallelogram. Its base is 6.5 inches, and its height is 4 inches. how much

Bond [772]

Area is base multiplied by height, so to get the answer you'd need to multiply 6.5 and 4

8 0

2 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

$\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}$

Thus the value of secant theta is $\sqrt{2}$

Learn more about the tangent theta here;

brainly.com/question/29190

4 0

2 years ago

Read 2 more answers

Emma receives $7750 and invests it in an account that earns 4% interest copounded continuously, What is the total amount of her

QveST [7]

So your present value is 7750. this is what you have now. they give you the intesrest rate which is 4% and how the amount of year is 5.

recall the formula for a compounded continously is
P×e^(r×t)

the answer is 7750×e^(.04×5)

8 0

2 years ago

Travka [436]

Answer:

A

Step-by-step explanation:

I did it on a test too

6 0

2 years ago

Just number 3 is fine please but if you could also 4

PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2(-5r + 2) = 84

<u>Step 2: Solve for </u><em><u>r</u></em>

Divide 2 on both sides: -5r + 2 = 42
Subtract 2 on both sides: -5r = 40
Divide -5 on both sides: r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
Multiply: 2(40 + 2) = 84
Add: 2(42) = 84
Multiply: 84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

Divide both sides by -8: -33 = -8 + 5x
Add 8 to both sides: -25 = 5x
Divide 5 on both sides: -5 = x
Rewrite: x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
Multiply: 264 = -8(-8 - 25)
Subtract: 264 = -8(-33)
Multiply: 264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0

2 years ago