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Ludmilka [50]
3 years ago
10

Last year ratchel contributed $105 each month toward her 401(k) account. If her employer matched 17% of her contribution,what wa

s the total amount contributed to the 401(k) at the end of the year?
Mathematics
1 answer:
Veronika [31]3 years ago
5 0
Amount she contributed
105×12 months = 1260

Her employers contributions per month
0.17×105=17.85

Amount contributed for the year
17.85×12=214.2

The total amount contributed to the 401(k) at the end of the year is
1,260+214.2=1,474.2

Hope it helps!
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Please answer #1 and #2
DIA [1.3K]
1)
x^2 + (3y/2z) = 7
2x^2z + 3y = 14z
3y = 14z - 2x^2z
3y = 2z(7 - x^2)
  y = 2/3(z)(7 - x^2)

2)
(3zx^4) /(5+z) = 2y
3zx^4 = 2y(5+z)
3zx^4 = 10y + 2yz

6 0
3 years ago
This trapezium is drawn on a centimetre grid.<br> Find the area of the trapezium.
aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

<u>From </u><u>the</u><u> </u><u>grid</u><u> </u><u>:</u><u>-</u>

\rm\implies Side_1 = 7 \ units

\rm\implies Side_2 = 3 \ units

\rm\implies \perp \ Distance =4  \ units

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times   \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm  Area = 20 \ unit^2}

3 0
3 years ago
Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​
Assoli18 [71]

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = \frac{1}{2}aP

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

                                             = 30 cm

Substituting these values in the formula,

Area = \frac{1}{2}(4.1)(30)

        = 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

8 0
3 years ago
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 240 rounds. At what
lyudmila [28]

Answer:

40

Step-by-step explanation:

4 0
3 years ago
A temperature of 3225 °F will melt platinum. Gold melts at a temperature of 1947.974 °F.
sertanlavr [38]

Questions like this ("how much higher is x than y?") are answered by computing the ratio of the two quantities.

In fact, for example, the answer to "how much higher is 10 than 5?" is 2, because 10:5 = 2, and indeed 10 is twice as much as 5.

So, we have

\dfrac{3225}{1947.974}\approx 1.65

So, the melting temperature of platinum is about one time and a half higher than the melting temperature of gold.

4 0
3 years ago
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