All categories

3 years ago

Beatrice contributes 18% of her $59,800 annual salary to her 401(k) plan. What is her pre-tax income?

Mathematics

2 answers:

nalin [4]3 years ago

7 0

<span>B. $49,036 hope helps APEX </span>

zvonat [6]3 years ago

6 0

Answer:

The pre tax income is $\$49036$

Step-by-step explanation:

Given:-

Beatrice annual salary is $59,800

contribution of salary to 401(k) plan 18% of $59,800

Since, 18% of $59,800 means;

$=\frac{18}{100} \times 59800$

$=18 \times 598$

$= \$10764$

Pre-tax income is $\$59800- \$10764= \$49036$

You might be interested in

WILL GIVE BRAINLESS <br>factor the polynomial

Svetach [21]

Answer:

Step-by-step explanation:

This is factor by grouping. In factor by grouping, write a quadratic trinomil as 4 terms and group by parenthesis. Then factor by GCF in each pair. If the two parenthesis match, the factoring has worked and the factors will be the GCFs as one and the parenthesis as one other.

The factors here are the GCFs $2x^2$ and -3 as $(2x^2-3)$ and the parenthesis (x-5).

4 0

3 years ago

Tabitha defines a sphere as the set of all points equidistant from a single point. Is Tabitha's definition valid?

Advocard [28]

definition is valid since center is exactly 1radius away from any point on the outersurface.

other figures do not fit this defn

5 0

3 years ago

Read 2 more answers

Jeremy invests $8, 500 into an account with a 2.4% interest rate that is compounded quarterly. How much money will be in

sertanlavr [38]

Answer:

$9,812.29

Step-by-step explanation:

The amount in Jeremy's account can be computed using the compound interest formula.

<h3>account value</h3>

The formula for the value of an account earning compound interest at annual rate r, compounded n times per year for t years is ...

A = P(1 +r/n)^(nt)

where P is the principal invested.

<h3>formula application</h3>

When P=$8500, r=0.024, n=4, t=6, the formula becomes ...

A = $8500(1 +0.024/4)^(4·6) = $8500(1.006^24) ≈ $9812.29

There will be $9,812.29 in this account after 6 years.

5 0

2 years ago

A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}$

Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

$D =-0.62 +2 \approx 1.38$

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

5 0

3 years ago

Find an equation of the tangent line to the curve y=arccos(x/2) at the point (1,4pi)

marishachu [46]

The derivative of inverse trigonometric identities follow<span> a set of rules. </span>
<span>For </span>arc cos<span> x, the </span>dy/dx is equal to -1/ square root of (1 - x2).
<span>In this case, we still have 1/2 x inside the angle quantity so we multiply the </span>dy/dx above with 1/2. Hence, y' = is -1<span>/ 2 square root of (1 - x2); x = 1, y' is infinity. this means the line is horizontal. The answer hence is y = 1.</span>

5 0

3 years ago