Which ordered pair is a solution to the equation? Y=-2x+4A. (-3, 6)
B. (-4, 5)
C. (5, -6)
D. (-6, 5)

Answers

Answer 1
Answer: to find that out, we need to substitute the values of each pair and see which makes the equation true:
y = -2x + 4
and the answer is 
C. (5, -6), lets substitute:
-6 = -2(5) + 4
-6 = -10 + 4
-6 = -6
which holds true

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Please help Suzanne deposited $2500 in a savings account earning 3.5% interest.

What was the total interest earned at the end of 6 years?

A.
$52.50

B.
$87.50

C.
$525.00

D.
$5250.00

Answers

Given: 
Principal = 2,500
rate = 3.5%
term = 6 years

Simple interest = Pricipal x rate x term
S.I. = 2500 x 3.5% x 6 
       = 87.50 x 6
S.I. = 525.00  CHOICE C.

Suzanne will earn an interest of $87.50 per year and a total of $525 interest at the end of 6 years.

To which rational number subset(s) does the following number belong? 4/13 I. Rational Numbers II. Natural Numbers III. Whole Numbers IV. Integers

Answers

1. Rational numbers
because A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

Answer :r

rational number

Step-by-step explanation:

If the price of a purse increased from $45 to $54, what was the percent of increased

Answers

The percent of increase is 20%

Answer and the work is provided in the image attached.

54-45/45 x 100%
= 20%

Perform the division and leave the result in trigonometric form.

Answers

Answer:

(1)/(2) ( cos40° + isin40°)

Step-by-step explanation:

To divide

\frac{r_{1(cosx_(1)+isinx_(1))  } }{r_(2)(cosx_(2)+isinx_(2))   }

= (r_(1) )/(r_(2) ) [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

(2(cos90+isin90)/(4(cos50+isin50))

= (2)/(4) ( cos(90 - 50)° + isin(90 - 50)°

= (1)/(2) ( cos40° + isin40° )

How do i find 1/3 of 12

Answers

"of" means to multiply
1/3 times 12 = 4

The prism has a surface area of 1312 mm2.What would the surface area of the prism be if each dimension were halved?


mm2

Prism with a length of thirty-two millimeters, a width of ten millimeters, and a height eight millimeters

Answers

Surface Area = 2(lw + lh + wh)

Divide each dimension by half, and then plug it in to the formula.

32/2 = 18
10/2 = 5
8/2 = 4

Surface Area = 2((4)(5) + (4)(18) + (5)(18))
SA = 2(20 + 72 + 90)
SA = 2(182)

SA = 364

The surface area if each dimension was halved would be 364 mm^2.