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valentinak56 [21]
3 years ago
12

Reggie makes $37,500 per year. He will receive an 8% raise. What will be his new salary?

Mathematics
1 answer:
Neporo4naja [7]3 years ago
6 0

Answer:

$40,500

Step-by-step explanation:

First you have to calculate 8 percent of $37,500 which is = 37500*.08=3000

then you have to add which gives you 40500

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What are the values of a, b and c in the quadratic equation -2x^2+4x-3=0?
AlladinOne [14]

Answer:

a=-2\\b=4\\c=-3

Step-by-step explanation:

In a quadratic equation in the Standard form

ax^2+bx+c=0

You need to remember that "a", "b" and "c" are the numerical coefficients (Where "a" is the leading coefficient and it cannot be zero: a\neq0).

You can observe that the given quadratic equation is written in the Standard form mentioned before. This is:

-2x^2+4x-3=0

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I know the answer but I need to explain how to get the answer. Please help❤️
kondaur [170]

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Let the three consecutive multiples of 5 be, x, x+5 and x+10

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x + x+5 + x+10 = 2205

3x + 15 = 2205

Subtract 15 from both sides,

3x = 2205 - 15

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x = 2190/3 = 730

So, x= 730

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5 0
2 years ago
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
dedylja [7]

Answer:

(a) D(t) = 250t -500 miles

(b) Controller has 2 hours, but including time for pilots to divert course or altitude.

Step-by-step explanation:

Given:

two planes at same altitude heading in a collision course.

Plane A at 400 miles from collision point at 200 mph

Plane B at 300 miles from collision point at 150 mph.

Theoretical collision happens in

t = 400/200 = 300/150 = 2 hours

Distance ya of plane A from collision point as a function of time in hours

ya(t) = 400 -200t

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Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem

D(t) = sqrt(ya(t)^2+yb(t)^2)

= sqrt((400-200t)^2+(300-150t)^2)

= 250(t-2)

D(t) = 250t -500 miles

b. time available

Time until D(t) = 0

solve D(t) = 0

D(t) = 0

250(t-2) = 0

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3 years ago
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car
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