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disa [49]
3 years ago
14

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Annika borrowed a book

from the library and forgot to return it on time. The library charges $0.25 per day for the first four days and $0.30 per day for all of the remaining days. If Annika had to pay the library $4.00, how many days late was her book?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Answer:

Annika was 14 days late with her book.

Step-by-step explanation:

The first four days would cost Annika 1.0 dollar (4x0.25), then we need to divide the rest of the ammount by 0.30 to calculate for how many days she paid the 0.30 dollar fine.

4.00 - 1.00 = 3.00

3.00/0.30 = 10

Therefore, Annika was 4 +10 = 14 days late with her book.

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This is the last thing i need..
Whitepunk [10]

Answer:

whats the question

Step-by-step explanation:

3 0
3 years ago
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2-[6÷2+{6×1/2+(7/2-3/2)}]​
professor190 [17]

Answer:

-6

Step-by-step explanation:

2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =

Follow the correct order of operations.

Do one step at a time and copy everything else each time, so you don't lose track of any operation.

= ​2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]

= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]

= 2 - [6 ÷ 2 + {3 + 2}]

= 2 - [6 ÷ 2 + 5]

= 2 - [3 + 5]

= 2 - 8

= -6

5 0
3 years ago
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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3
MAXImum [283]

Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

where n is any integer. Then

\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi

Fix n=0 to ensure -\pi, so that

v=-\dfrac\pi6,v=-\dfrac\pi2

3 0
4 years ago
The price of tiling a room varies directly as the size of the room. Sam is laying tile in his kitchen. If the tiling costs $4,22
stiv31 [10]

Answer:

<h3>The answer is option A</h3>

Step-by-step explanation:

Let the price of the room be p

Let the size of the room be s

To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them

The statement

The price of tiling a room varies directly as the size of the room is written as

<h3>p = ks</h3>

where k is the constant of proportionality

when

p = $4,224.00

s = 264 square feet

Substitute the values into the expression to find k

That's

4224 = 264k

Divide both sides by 264

k = 16

So the formula for the variation is

<h3>p = 16s</h3>

when

p = 3824

s =  \frac{p}{16}

s =  \frac{3824}{16}

s = 239

The final answer is

239 square feet

Hope this helps you

6 0
3 years ago
if you wish to calculate the interest on an investment with a rate of 6.17%, what number will you plug into your equation?
Kitty [74]
The number used for the interest rate will be 6.17% in decimal form: 0.0617.
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