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2 years ago

7

1.2.2

frac{3}{2 + \sqrt{3} } " alt=" \frac{3}{2 + \sqrt{3} } " align="absmiddle" class="latex-formula">

1 answer:

Lena [83]2 years ago

4 0

0.803 is the correct answer

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Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of

Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

$SI = \frac{P \times T \times R}{100}$

First account: $SI=\frac{x \times 1 \times 12}{100}$

Second account : $SI =\frac{(6000-x) \times 1 \times 7}{100}$

We are given that At the end of the first year he had earned $590 in interest.

So, $\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400$

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0

3 years ago

Find the equation of the line that is perpendicular to y = - 1/3 x + 2 and passes though the point (-5,2)

elena55 [62]

Answer:

y - 2 = 3(x + 5)

Step-by-step explanation:

The given equation has slope -1/3. Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.

Use the point-slope formula y - k = m(x - h):

y - 2 = 3(x + 5)

6 0

3 years ago

Select the correct answer.

mariarad [96]

Answer:

D. slope: 3

y-intercept: -3

Step-by-step explanation:

8 0

3 years ago

Use the diagram to find the measurement of the given angle

Over [174]

Answer:

40

Step-by-step explanation:

FAC = FAE + EAD +CAD

We know FAC = 180 and CAD = 50 and EAD = 90

180 = FAE + 90 +50

Combine like terms

180 = FAE + 140

Subtract 140 from each side

180-140 = FAE +140-140

40 = FAE

6 0

3 years ago

Read 2 more answers

You own an accessories store, and sales last month were $24,000. You had $3,500 in discounts and $975 in returns.

Len [333]

Answer:

The net sales for last month were <u>$19,525</u>.

Step-by-step explanation:

Given:

Last month sales were $24,000.

Discounts is $3,500 and $975 in returns.

Now, to get the net sales for last month.

So, we deduct the discount:

<em>Sales - discounts</em> = $\$24,000 - \$3,500 =\$20,500.$

Then, we deduct the returns from the remaining amount:

<em>Sales after discounts - returns</em> = $\$20,500 - \$975$

= $\$19,525.$

Therefore, the net sales for last month were $19,525.

7 0

3 years ago