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kodGreya [7K]
3 years ago
13

An account earns simple interest. $300 at 4% for 3 years a. Find the interest earned. $ b. Find the balance of the account. $

Mathematics
2 answers:
aliina [53]3 years ago
5 0
A. take 300*0.04*3 which is $36

b. add $36 to $300
Oksi-84 [34.3K]3 years ago
5 0

Answer:

a. $36

b. $336

Step-by-step explanation:

The simple interest on a amount is:

A=P(1+rt)

A is the amount after interest, P is the amount before interest, r is the rate of interest and t is the time in years.

a.

We can use the formula:

=300\cdot{(1+0.04\cdot{3})}=300\cdot{1.12}=336

The interest earned is the amount after interest minus the original amount before interest:

=336-300=36

$36 of interest was earned

b.

The balance of the account is $336 worked out in a

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Answer:

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Step-by-step explanation:

Given

u =

v =

Required:

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cos\theta = \frac{2*6+4*-7}{|u|.|v|}

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|A| = \sqrt{a^2 + b^2}

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|u| = \sqrt{2^2 + 6^2}

|u| = \sqrt{4 + 36}

|u| = \sqrt{40}

|v| = \sqrt{4^2+(-7)^2}

|v| = \sqrt{16+49}

|v| = \sqrt{65}

So:

cos\theta = \frac{-16}{|u|.|v|}

cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}

cos\theta = \frac{-16}{\sqrt{2600}}

cos\theta = \frac{-16}{\sqrt{100*26}}

cos\theta = \frac{-16}{10\sqrt{26}}

cos\theta = \frac{-8}{5\sqrt{26}}

Take arccos of both sides

\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})

\theta = cos^{-1}(\frac{-8}{5 * 5.0990})

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Step-by-step explanation:

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4 0
3 years ago
Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri
Korvikt [17]

Answer:

The car uses less gas

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Step-by-step explanation:

Given

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m = \frac{y_2 - y_1}{x_2 - x_1}

From the table, we have:

(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)

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m = \frac{10.5 - 13.5}{180 - 60}

m = \frac{-3}{120}

m = -\frac{1}{40}

Calculate the equation using:

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y = -\frac{1}{40}x + 1.5+13.5

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Also:

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By comparison to: y = mx + b

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y = -\frac{1}{5}x + 31 --- The van

y = -\frac{1}{40}x + 15 --- The car

Equate both

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Collect like terms

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Solve for x

x = \frac{640}{7}

5 0
3 years ago
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