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DIA [1.3K]
3 years ago
11

(4, -6), (3, -8) Find midpoint

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
(7/2,-7) ther I hope it help
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Tom pays $1506 in rent every month. This amount is $50 more than twice what his brother Arturo pays for
Talja [164]

Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

3 0
2 years ago
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest
dimaraw [331]

Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680

<h3>How to calculate interest after 1 year if the rate of interest is R% annually?</h3>

Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)

The interest for 1 year will be \dfrac{P}{100} \times R

Let we have the initial amount spent in account paying 8% interest rate as $x

Let for 6% interest paying account, initial amount was $y

Then, by the given data, we have:

x + y = 1500

and

\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6=  106.40\\\\8x + 6y = 10640\\4x + 3y = 5320

Thus, we got a system of linear equations as :

x + y = 1500\\4x + 3y = 5320

From equation 1, getting value of x in terms of y, we get:

x = 1500 - y

Substituting this value in second equation, we get:

4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680

Putting this value of y in the equation we got for x,

x = 1500 - y\\x = 1500 - 680= 820

Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820

and  for 6% interest paying account, initial amount was $y = $680

Thus,

The amount invested by Mrs. Ming in the account paying 6% was $680

Learn more about system of linear equations here:

brainly.com/question/13722693

3 0
3 years ago
What is 4x(1+8x) Distributed
MA_775_DIABLO [31]

Answer:

4x + 32x²

Step-by-step explanation:

4x(1 + 8x) ← multiply each term in the parenthesis by 4x

= 4x + 32x²

4 0
3 years ago
The midpoint M of CD has coordinates (5, 8). Point C has coordinates (4,8). Find the
zaharov [31]
Heygebjfynkoikjshndncu
5 0
3 years ago
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the e
Kaylis [27]

Answer:

$162

Step-by-step explanation:

I assume there was a typo and the formula is 12h+30w

hours= h= 6

number of wagons sold= w= 3

12(6) +30(3)= 72+90= 162

4 0
3 years ago
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