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musickatia [10]
3 years ago
13

Line w ll segment YZ

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0
<1 because these are transversal angles,,,, and <1 and <3 are alternative interior angles
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Paul has $30000 to invest. His intent is to earn 10% interest on his investment. He can invest part of his money at 6% interest
MrRa [10]

Answer:

The amount invested at 6% is $12,857.14

The amount invested at 13% is $17,142.86

Step-by-step explanation:

Let

x ----> the amount invested at 6%

30,000-x -----> the amount invested at 13%

we know that

The interest earned by the amount invested at 6% plus the interest earned by the amount at 13% must be equal to the interest earned by the total amount of $30,000 at 10%

Remember that

6\%=6\100=0.06

13\%=13\100=0.13

10\%=10\100=0.10

so

The linear equation that represent this situation is

0.06x+(30,000-x)0.13=0.10(30,000)

solve for x

0.06x+3,900-0.13x=3,000\\0.13x-0.06x=3,900-3,000\\0.07x=900\\x=\$12,857.14$

x-\$30,000=\$17,142.86

therefore

The amount invested at 6% is $12,857.14

The amount invested at 13% is $17,142.86

5 0
2 years ago
Simplify. -6w-3(4z-6w)-5z
leonid [27]

Answer:

1

2

−

1

7

Step-by-step explanation:

Brainliest?

7 0
2 years ago
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When writing a decimal number that is less than 1, any number is normally used in the ones
Ganezh [65]

Answer:

False

Step-by-step explanation:

Only 0 is used in a decimal number that is less that one in the one's place.

4 0
2 years ago
I need help with this question answer ASAP
Sedaia [141]

Answer:

A

Step-by-step explanation:

Plug 2 in for y in the second equation. You get 3 as x. So x=3 and y=2. (3,2)

3 0
2 years ago
What is the equation of the line that passes through the point (-3, -1) and has a slope of -4 ?
AnnZ [28]

Answer:

y = - 4x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x ++ c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 12 + c ⇒ c = - 1 - 12 = - 13

y = - 4x - 13 ← equation of line

8 0
2 years ago
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