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1 year ago

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.

Mathematics

1 answer:

Shkiper50 [21]1 year ago

7 0

9514 1404 393

Answer:

$5.54

Step-by-step explanation:

8.8% of $63 is ...

0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

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A tanker that ran aground is leaking oil that forms a circular slick about 0.2 foot thick. To estimate the rate dV/dt (in cubic

blondinia [14]

Answer:

dV/dt = 155.74 ft^3/minute

Step-by-step explanation:

Volume V = Area × thickness

Area A= πr ^2

Thickness = 0.2 ft

Volume V = 0.2A = 0.2πr^2

V = 0.2πr^2

Differentiating both sides;

dV/dt = 0.2π × 2r dr/dt = 0.4πr.dr/dt

Given;

r = 400 ft

dr/dt = 0.31 ft/minute

π = 3.14

Substituting the values

dV/dt = 0.4πr.dr/dt = 0.4 × 3.14 × 400 × 0.31

dV/dt = 155.74 ft^3/minute

8 0

1 year ago

Read 2 more answers

While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

taurus [48]

Part 1: The speed of the boat traveling downstream is $(18+w)$ miles per hr.

The speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as $(18+w)$ miles per hr

Hence, the speed of the boat traveling downstream is $(18+w)$ miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as $(18-w)$ miles per hr.

Hence, the speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by $distance $=$ speed $\times$ time$

Substituting, we have,

$49=(18-w)t\\49=18t-wt$ ---------------(1)

$77=(18+w)t\\77=18t+wt$ ---------------(2)

Solving using elimination method,

$49=18 t-w t\\77=18 t+w t\\-------\\126=36t$

Dividing both sides by 36, we have,

$t=3.5$

Substituting $t=3.5$ in $49=18 t-w t$ , we get,

$49=18(3.5)-w (3.5)\\$

$49=63-3.5w\\$

$-14=-3.5w\\$

$4=w$

Thus, the speed of the current is $w=4$ miles per hour.

5 0

2 years ago

The list shows the area in square feet of each apartment available for rent in a building. 565, 961, 867, 517, 627, 714, 517, 72

gladu [14]

STEP 1:
put numbers in order from lowest to highest
517, 517, 565, 627, 714, 728, 867, 961

STEP 2:
find the difference between the lowest and highest numbers

961 - 517= 444 ft^2 range

ANSWER: The range of the areas is 444 ft^2.

Hope this helps! :)

8 0

2 years ago

Read 2 more answers

Alexis put $2000 in a savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn? Use the

Flauer [41]

This is substitution, it's very simple once you get the hang of it!

okay, what you want to do is plug in the numbers you already have, to get the number you don't have(r).

First, you plug in the numbers.

1. P= $2000
A=$2543
t= 4(years)
r=?

2543=2000^r(4)

Secondly, you want to solve the equation.

5 0

1 year ago

Read 2 more answers

What number should be placed in the spot presently filled with the X? Finished Product A 1 2 3 4 Gross Requirements (i.e. demand

crimeas [40]

Answer:

Below mentioned is the answer.

Step-by-step explanation:

Finished Product A 1 2 3 4

Gross Requirements 20 20 50 30

Scheduled Receipts 25

Planned Delivery 0

Projected on Hand Inventory 30 10 15 40 10

Planned Order Release 0

safety stock 10

3 0

2 years ago