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3 years ago

Write the equation of the line that passes through the points (3, -2)

1 answer:

5 0

Start with determining the slope ((-9 - (-2))/(5 - 3) = -7/2. Now use the point slope formula y - y1 = m(x - x1). y - (-2) = -7/2(x - 3). Distribute the -7/2, y + 2= -7/2x + 21/2. Combine like terms y = -7/2x + 17/2. You can also write this as y = -3.5x + 8.5

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You invested $29000in two accounts paying 3% and 8% annual interest, respectively. If the total interest earned for the year was

Furkat [3]

Answer:

Amount invested at 3%= $21,000

Amount invested at 8% = $8,000

Step-by-step explanation:

$29,000 was invested in two accounts

The two accounts have annual interest of 3% and 8%

The total interest that was earned for the year is $1,270

Let y represent the amount invested at 3%

y = 3%

The amount invested at 8% can be represented as

29,000-y

Therefore the value of y can be calculated as follows

3/100 × y + 8/100(29,000-y)= 1270

0.03y + 0.08(29,000-y)= 1270

0.03y + 2320 - 0.08y= 1270

0.03y - 0.08y= 1270-2320

-0.05y= -1050

y = 1050/0.05

y= 21,000

The amount invested at 3% is $21,000

The amount invested at 8%

= 29,000-21,000

= $8000

Hence the amount invested at 3% is $21,000 and the amount invested at 8% is $8000

4 0

3 years ago

Perform the indicated operation. 10 3/7 + 19 5/9

DanielleElmas [232]

Given expression is

$10 \frac{3}{7} + 19 \frac{5}{9}$

Now convert mixed fraction as improper fraction as

$10 \frac{3}{7} + 19 \frac{5}{9} = \frac{10*7 + 3}{7} + \frac{19*9+5}{9}$
                                                         $= \frac{73}{7} + \frac{176}{9}$
                                                          $= \frac{73*9 + 176 * 7}{63}$
                                                         $= \frac{657 + 1232}{63} = \frac{1889}{63}$
Now we can convert $\frac{1889}{63 } = 29 \frac{62}{63}$

So the answer is $29 \frac{62}63}$

4 0

4 years ago

Read 2 more answers

What property is 5x+1=1+5x

Vadim26 [7]

The equation is NOT a conic section

5 0

3 years ago

Solve the equation for the red variable.

yawa3891 [41]

Answer:

d/r

Step-by-step explanation:

d = rt

t = d/r

5 0

3 years ago

Read 2 more answers

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!

Zigmanuir [339]

Answer: B, $4.41 per shirt

Step-by-step explanation:

To figure this out you want to first take the 200 shirts and multiply them by the cost of $2.80. This gives you a total of $560, without tax. The tax is 5%, so you want to take 560 and multiply it by .05 to find the amount of tax. This leaves you with $28 of taxes. Add that onto the already cost of $560, and it gives you a grand total of $588. She wants to sell the shirts with a 150% markup, so all you do is first find what Michelle really paid for each shirt with tax. Take the total cost of 588 and divide it by the number of total shirts which is 200. 588/200=$2.94 per shirt that Michelle paid. Times that by 1.5% and you get $4.41 per shirt that Michelle is selling.

6 0

3 years ago