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morpeh
1 month ago
10

Rachael’s employer matches 16% of Rachel’s contribution to her 401k plan. If racheals employer contributed $400 to the plan a ye

ar , how much did racheal contribute to the plan last year
Mathematics
2 answers:
tester [12.3K]1 month ago
4 0
If x denotes Rachael's contributions
400=16%x
2,500=x

Rachael contributed $2,500 to her 401k last year
Inessa [12.5K]1 month ago
3 0

Response:

$2500.

Step-by-step clarification:

Let x denote the total contributed by Rachael to her 401(k) plan.

We know that Rachael’s employer matches 16% of her contribution to the plan. Last year, the employer contributed $400 to her account.

We need to determine x such that 16% of x equals $400.

\frac{16}{100}*x=\$400

0.16*x=\$400

\frac{0.16*x}{0.16}=\frac{\$400}{0.16}

x=\$2500

Thus, Rachael contributed $2500 to the plan for the previous year.

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Alexander invested $240 in an account paying an interest rate of 2.3% compounded
Inessa [12570]
The answer is $261 as I believe.
7 0
1 month ago
Solve the following quadratic equations by extracting square roots.Answer the questions that follow.
babunello [11817]

Answer:

1. x=±4

2. t=±9

3. r=±10

4. x=±12

5. s=±5

Step-by-step explanation:

1. x^2 = 16

By extracting the square root on both sides

\sqrt{x^2}=\sqrt{16}\\\sqrt{x^2}=\sqrt{(4)^2}\\

x=±4

2. t^2=81

Again, take the square root of each side

\sqrt{t^2}=\sqrt{81}\\\sqrt{t^2}=\sqrt{(9)^2}

t=±9

3. r^2-100=0

r^{2}-100=0\\r^2 =100\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{100}\\\sqrt{r^2}=\sqrt{(10)^2}

r=±10

4. x²-144=0

We rewrite as x²=144

Applying square roots

\sqrt{x^2}=\sqrt{144}\\\sqrt{x^2}=\sqrt{(12)^2}

x=±12

5. 2s²=50

\frac{2s^2}{2} =\frac{50}{2}\\s^2=25\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{s^2}=\sqrt{25}\\\sqrt{s^2}=\sqrt{(5)^2}

s=±5 ..

4 0
3 months ago
Read 2 more answers
Which is true regarding the graphed function f(x)?
AnnZ [12381]

Explanation:

Hello! Please remember to formulate complete questions to receive accurate answers. I will assume that the depicted function derives from:

f(x)=\left(x-4\right)^{2}+5

This describes the equation of a parabola that opens upwards, with its vertex positioned at:

V(4,5)

The graph below illustrates this function. What is true about the graphed function f(x)?

  • It is accurate that the domain consists of all real numbers, as this is a polynomial function.

  • It is also correct that the range includes all real numbers where y ≥ 5

  • It is indeed true that this parabola opens upwards

  • It is valid to say it does not intersect the x-axis

6 0
1 month ago
Is m=0.75d-2 proportional?
Inessa [12570]
A proportion maintains a consistent ratio m/d

If m = 0.75d, then the m/d ratio translates to (0.75d)/d = 0.75

In this case, the ratio can be expressed as (.75d-2)/d = 0.75 - (2/d).

Thus, it is not proportional.

4 0
2 months ago
Read 2 more answers
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