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3 years ago

Simple interst for $750 at 6.5 interest for 3 years

Mathematics

2 answers:

Usimov [2.4K]3 years ago

8 0

To find the simple interest, we multiply 750 × 0.065 × 3 to get that: $146.25

ser-zykov [4K]3 years ago

4 0

Considering that you mean 6.5% interest yearly, the interest gained would be:
$146.25

and the total amount would be $896.25

Hope this helped!

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Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5

Lerok [7]

1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8.

You can verify the equality by simplifying to the simplest form:

 7 : 28 = 1 / 4 simplest form
 2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer

2) Proportion b.. 3⁄1 = 18⁄6


In words: 3 is to q as 18 is to 6 ← answer


You can verify the proportion by simplifiying the second fraction:


 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1


3) Proportion c. 9 : 72 = 2 : 16


In words: 9 is to 72 as 2 is to 16 ← answer


Proove the proportion:


 9 / 72 = 1 / 8


 2 / 16 = 1 / 8


4) Proportion d. 81⁄9 = 45⁄5

In words: 81 is to 9 as 45 is to 5 ← answer

Proove it:
 81 / 9 = 9
 45 / 9 = 9

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3 years ago

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Someone help me please

Gemiola [76]

Answer:

$x=2\sqrt{6}$

Step-by-step explanation:

Use the Pythagorean theorem:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. Insert the values:

$\sqrt{10}^2+\sqrt{14}^2=x^2$

Simplify exponents using the rule $\sqrt{x}^2=x$ :

$10+14=x^2$

Simplify addition:

$24=x^2\\x^2=24$

Find the square root:

$\sqrt{x^2}=\sqrt{24}\\ x=\sqrt{24}$

Simplify in radical form: Find a common factor of 24 that is a perfect square:

$\sqrt{24}=\sqrt{4*6}$

Separate:

$\sqrt{4}*\sqrt{6}$

Simplify:

$2*\sqrt{6}\\x=2\sqrt{6}$

Finito.

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3 years ago

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Pergunta 5 You need to fill a football with air to play with it. You know that your pump expels air at speed of 8.2 ft/s. The ne

ra1l [238]

The volume flow rate of the air being pumped into the football will be given by:
Q=V*A
Where
V=Speed
A=Area
You know that your pump expels air at speed of 8.2 ft/s
The area of The needle of your pump is
A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
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Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s

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3 years ago

Find the value of the expression: a p^2q^2+pq–q^3–p^3 for p=4 and q=−4

Sav [38]

Answer:

240

Step-by-step explanation:

To evaluate the expression for specific numerical values, put the numbers in place of the corresponding variables, and do the arithmetic. A calculator or spreadsheet can help you with this.

p^2q^2+pq–q^3–p^3

= 4²(-4)² +4(-4) -(-4)³ -4³

= 4⁴ -4² +4³ -4³

= 4²(4² -1) = 16(15) = 240

The value of the expression is 240.

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Varvara68 [4.7K]

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3 years ago

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