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2 years ago

Find last year's salary if after a 4% raise , this year's salary is $44,200.

1 answer:

5 0

You can try this way:
x - last year´s salary, raise: 4% = 0.04 ( 100%+4% = 104% = 1.04 )
x · 1.04 = 44,200
x = 44,200 : 1.04
x = 42,500
Last year´s salary was $42,500.

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What does dimensions of the entire figure mean

Sveta_85 [38]

I'm assuming the dimensions are like the measures of whatever the figure is. Volume, length,width,height,circumference,radius,diameter,area,perimeter,etc. whatever you are working with, that will help you find the dimensions of the figure:)

3 0

2 years ago

Find the value of the expression 63 - 21 + (3 x 11)

bixtya [17]

Answer: First solve the parentheses using order of operations. Then add and subtract from left to right.

Demo:

(3 * 11) = 33

Equation now looks like:

63 - 21 + 33

63 - 21 = 42

Equation now looks like:

42 + 33

42 + 33 = 75

The value of this expression is 75.

5 0

3 years ago

Read 2 more answers

There are two major tests of readiness for college, the act and the sat. act scores are reported on a scale from 1 to 36. the di

ch4aika [34]

Standardized z score for the act result = (30 - 21.5) / 5.4 = 1.574

so for the sat ressult we have 1.574 = (X - 1498) / 316

X = 316 * 1.574 + 1498 = 1995 answer

4 0

2 years ago

Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(

Temka [501]

The particular quadratic solution to the ODE is found as follows:

$x=at^2+bt+c$
$x'=2at+b$

$(2at+b)+2(at^2+bt+c)=t^2+4t+7$
$2at^2+(2a+2b)t+(b+2c)=t^2+4t+7$

$\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4$

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

$x'+2x=0\implies r+2=0\implies r=-2$

so that $x_c=Ce^{-2t}$ is a characteristic solution to the ODE, and the general solution would be

$x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4$

4 0

3 years ago

At a benefit concert, fifteen bands have volunteered to perform but there is only enough time for five of the bands to play. Ho

Iteru [2.4K]

Answer:

360,360

Step-by-step explanation:

So we only have 5 spots, but 15 bands to fill those spots.

For the first spot, we can choose from any of the 15 bands, so we have 15 choices.

For the second spot, we can choose from the 14 remaining bands (because we already chose one for the first spot), so we have 14 choices.

For the third spot, by similar reasoning as above, we have 13 choices; for the fourth spot, 12 choices; and for the last spot, we have 11 choices.

We realize that for each of the 15 possible bands in the first spot, we still have 14 possible bands for the second spot, and so on. Thus, we know to multiply instead of add.

Our answer is: 15 * 14 * 13 * 12 * 11 = 360,360

6 0

3 years ago