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3 years ago

A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes.

Mathematics

1 answer:

Phoenix [80]3 years ago

6 0

Answer:

$225.00

Step-by-step explanation:

7% of 225 is $15.75

.07x225=$15.75

$225+$15.75=$240.75

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Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w

Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

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3 years ago

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If BA is d units the CB must be 2d units. B is on the x-axis, 2d units right of C so its coordinates are (2d, 0). A is d units above B at (2d, d).

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3 years ago

Helena has taken out a $9,300 unsubsidized Stafford loan to pay for her college education. She plans to graduate in four years.

kherson [118]

The effective annual interest rate is:
i = (1 + 0.064/12)^12 - 1 = 0.066
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In year 4: the interest is $657.16

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The present worth of this amount is:
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3 years ago

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An NBA corner 3-pointer is 264 inches away from the hoop. One day, you measure it to be 270.6 inches. What is the measurement er

vesna_86 [32]

Plz give me more to explain

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3 years ago

Solve for w, where w is a real number.

Ber [7]

Answer:

w= 9

Step-by-step explanation:

$\sqrt{ - 4w + 61} = w - 4$

Square both sides:

-4w +61= (w -4)²

$\boxed{(a - b)^{2} = a^2 -2ab + b^2 }$

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

Why do we use negative square root?

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

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2 years ago

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