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Andreas93 [3]
3 years ago
6

If someone answers this question, the next one i'll ask with be 100 points

Mathematics
1 answer:
Semmy [17]3 years ago
6 0

\text{The two angles are supplementary, so their sum is}~ 180^{\circ} \\\\m\angle A + m\angle B =180\\\\\implies 2x-14+3x-6 = 180\\\\\implies 5x -20 = 180\\\\\implies 5x = 180+20\\\\\implies 5x = 200\\\\\implies x =\dfrac{200}5\\\\\implies x = 40\\\\\text{Hence, the measure of angle A is}~ m\angle A = (2\cdot 40 -14)^{\circ} = 66^{\circ}

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $5990 and her st
GenaCL600 [577]

Answer: 14.38%

Step-by-step explanation:

Worth of stock in Company A = $5990

Percent decrease = 20%

New worth = $5990 - (20% × $5990)

= $5990 - (0.2 × $5990)

= $5990 - $1198

= $4972

Worth of stock in Company B = $2450

Percent decrease = 8%

New worth = $2450 - (8% × $2450)

= $2450 - (0.08 × $2450)

= $2450 - $196

= $2254

Previous total worth = $5990 + $2450

= $8440

Total worth = $4972 + $2254

= $7226

The total percentage decrease in the investor's stock account will be:

= [($8440 - $7226) / $8440] × 100

=( $1214 / $8440) × 100

= 0.1438 × 100

= 14.38%

3 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK BRAINLIEST NEED HELP ASAP
aliya0001 [1]

Answer:

1

Step-by-step explanation:

only one straight line can be passed through two points

3 0
3 years ago
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Identify the restrictions on the domain of f(x) = x+2/x-3<br> x≠-2<br> x≠2<br> x≠-3<br> x≠3
erma4kov [3.2K]

Answer:

  x ≠ 3

Step-by-step explanation:

The denominator of ...

  f(x) = (x+2)/(x -3)

is zero when x=3, so the function is not defined there. Values of x for which the function is not defined are not part of the domain.

The restriction is: x ≠ 3.

_____

Please note that parentheses are required around numerators and denominators when a rational function is written in plain text. When it is typeset:

  f(x)=\dfrac{x+2}{x-3}

the division bar serves as a grouping symbol. In plain text, we cannot tell where numerator and denominator begin and end unless some other grouping symbol (parentheses) is used.

4 0
3 years ago
Evaluate h(x) = -x2+3x för h(-3).
AleksAgata [21]

Answer:

h(-3) = -3

Step-by-step explanation:

h(-3) = -(-3)2 + 3(-3)

h(-3) = 6 - 9

h(-3) = -3

6 0
3 years ago
Read 2 more answers
Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%. What was the cost of the bonds? What was the total annual inte
Hunter-Best [27]
What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate. 

The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520

What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390

When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%
4 0
3 years ago
Read 2 more answers
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