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2 years ago

Kate deposits $800 in a bank

Mathematics

1 answer:

Rina8888 [55]2 years ago

6 0

Answer:

Step-by-step explanation:

Use formula

$I=P\cdot r\cdot t,$

where

I = interest

P = rpincipal

r = rate (as decimal)

t = time (in years)

In your case,

P = $800

r = 0.04 (4%)

t = 5,

$I=\$800\cdot 0.04\cdot 5\\ \\I=\$160$

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Water flows into a swimming pool at the rate of 8.0 gal/min. The pool is 16 ft wide, 32 ft long and 8.0 ft deep. How long does i

VLD [36.1K]

1 foot = 12 inches

(1 foot)^3 = (12 inches)^3

1 cubic foot = (12^3) cubic inches

1 cubic foot = 1728 cubic inches, will be used as a conversion factor

--------------

Find the volume of the pool. Assume it is a rectangular prism.

Volume = length*width*height

Volume = 32*16*8

Volume = 4096 cubic feet

Multiply by 1728, which was the conversion factor found earlier, to convert from cubic feet to cubic inches.

4096 cubic feet = (4096*1728) cubic inches = 7077888 cubic inches

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Now use the fact that 1 gallon = 231 cubic inches to convert from cubic inches to gallons

7077888 cubic inches = (7077888 cubic inches)*(1 gallon/231 cubic inches) = 7077888/231 = 30640.2078 gallons which is approximate

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If x is the amount of time in minutes, then 8x gallons of water have been added after x minutes. Set this equal to 30640.2078 and solve for x

8x = 30640.2078

x = 30640.2078/8

x = 3830.02598

Divide this by 60 to convert to hours

3830.02598/60 = 63.8337663

<h3>It takes approximately 63.8 hours to fill the pool</h3>

This is approximately 63.8/24 = 2.625 days

4 0

2 years ago

Find the value of sin100.sin120.sin140.sin160

NARA [144]

The value of $sin100.sin120.sin140.sin160$ is $0.1875$

Step-by-step explanation:

To find the value of $sin100.sin120.sin140.sin160$ , let us find the value of each angle.

The value of $sin100=0.9848$

The value of $sin120=\frac{\sqrt{3} }{2}$

The value of $sin140=0.6428$

The value of $sin160=0.3420$

Substituting the values of sin, we get,

$sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420$

Multiplying the values of sin, we get,

$sin100.sin120.sin140.sin160=0.1875$

Thus, the value of $sin100.sin120.sin140.sin160$ is $0.1875$

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2 years ago

Select the angle that correctly completes the law of cosines for this triangle. 72 + 252 – 2(7)(25)cos ___ = 242 A. 180° B. 90°

meriva

Answer:

x =76.45 degrees

Step-by-step explanation:

72 + 252 – 2(7)(25)cos _x__=242

combine like terms

324-350cosx = 242

subtract 324 from each side

-350x = -82

divide by -350

cos x = -82/-350

cos x = 82/350

take the arccos of each side

arccos (cos x) = arccos (82/350)

x =76.45 degrees

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2 years ago

A company buys paper at the rate of $10.50 per package for the first 10 packages, $8.50 per package for the next 10 packages, an

dexar [7]

Answer:

25?

Step-by-step explanation:

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2 years ago

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Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?

AleksAgata [21]

we are given

$12x^3-2x^2+18x-3$

Firstly, we will split terms

$2x^2*6x-1*2x^2+3*6x-1*3$

We can group first two and last two terms

$(2x^2*6x-1*2x^2)+(3*6x-1*3)$

we can see that 2x^2 is common in first two terms

and 3 is common in last two terms

so, we can factor factor out 2x^2 from first group and 3 from second group

we get

$=2x^2(6x-1)+3(6x-1)$

we can see that each terms are multiple of 6x-1

so, we can factor out 6x-1

so, we get

$12x^3-2x^2+18x-3 =(2x^2+3)(6x-1)$ ............Answer

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2 years ago

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