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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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Factor the expression –5g + 15h – 25.
shtirl [24]

Answer:

-5(g-3h+5)

Step-by-step explanation:

-5g+15h-25

-5(g-3h+5)

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2 years ago
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The (Figure 1) shows two thin beams joined at right angles. The vertical beam is 19.0 kg and 1.00 m long and the horizontal beam
il63 [147K]

A) The center of gravity of the two joined beams is;

<u><em>(x, y) = (25/44), (19/88)</em></u>

B) The gravitational torque on the joined beams about an axis through the corner is;

<u><em>τ = 245 N.m</em></u>

We are given;

Mass of vertical beam; m₂ = 19 kg

Mass of horizontal beam, m₁ = 25 kg

Length of horizontal beam; L₁ = 2 m

Length of vertical beam; L₂ = 1 m

A) Formula for center of gravity of the two joined beams is;

(x, y) = [(m₁x₁ + m₂x₂)/(m₁ + m₂)],  [(m₁y₁ + m₂y₂)/(m₁ + m₂)]

Where;

(x₁, y₁) is the <em>center of gravity</em> on the <em>horizontal beam</em>

(x₂, y₂) is the <em>center of gravity</em> on the <em>vertical beam</em>

(x₁, y₁) = (L₁/2, 0)

Plugging in the relevant values gives;

(x₁, y₁) = (2/2, 0)

(x₁, y₁) = (1, 0)

(x₂, y₂) = (0, L₂/2)

Plugging in the relevant values gives;

(x₂, y₂) = (0, 1/2)

(x₂, y₂) = (0, 0.5)

Thus, center of gravity of the 2 joined beams is;

(x, y) = [((25 × 1) + (19 × 0))/(25 + 19)],  [((25 × 0)  + (19 × 0.5)))/(25 + 19)]

(x, y) = (25/44), (19/88)

B) Formula for the gravitational torque on the joined beams about an axis through the corner is given as;

τ = (m₁g)x₁ + (m₂g)x₂

Plugging in the relevant values;

τ = (25 × 9.8)1 + (19 × 9.8)0

τ = 245 N.m

Read more at; brainly.com/question/14825257

8 0
1 year ago
Please will anyone help me out with this math problem? I will give them a crown.
Aneli [31]

Answer:

a. 450 b.  10078.9097

Step-by-step explanation:

a. go with the formula W=FD

F= force

W= work done

D= distance

b. go with the formula F=mgcos(x)

M= mass

G= gravity constant (9.8)

then get to the normal formula of W=FD after getting the Force

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Tcecarenko [31]
The solution would be x=0 because the statement is false.
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Mr. Addis drove 136 miles on 8 gallons if gas. What is the unit rate?
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Answer:

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Step-by-step explanation:

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