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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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Yara multiplies and divides a certain number by the same power of 10. The product she gets is 40,000 and the quotient she gets i
Elena L [17]
40,000 = 4 * 10^4
0.000004 = 4 * 10^-6
The power of 10 exactly in between 4 and -6 is -1.

She started with 4 * 10^(-1) which is 0.4.
0.4 * 100,000 = 40,000
0.4/100,000 = 0.000004

The number she started with is 0.4.
The power is 10^5.

8 0
3 years ago
A standard bowling ball cannot be more than 27 inches in circumference. What is the maximum volume of such a ball (to the neares
ddd [48]

Answer:

333 in^3

Step-by-step explanation:

Circumference = pi *d

27 = pi*d

Replacing d with 2*r  ( 2 times the radius)

27 = pi * 2 * r

Divide each side by 2

27/2 = pi *r

13.5 = pi *r

Divide by pi

13.5/ pi = r

We want to find the volume of a sphere

V = 4/3 pi * r^3

V = 4/3 pi (13.5/pi)^3

  = 4/3 pi * (13.5)^3 / (pi^3)

  4/3 pi/pi^3  * (13.5)^3

   4/3 * 1/ pi^2 *2460.375

 3280.5 / pi^2

Let pi be approximated by 3.14

 380.5/(3.14)^2

 332.7214086 in^3

To the nearest in^3

333 in^3

6 0
3 years ago
Read 2 more answers
How many 84s are in 672
Sedaia [141]
All you need to do is <u>Divide</u><u /> 84 from 672.
8 0
3 years ago
Read 2 more answers
Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \under
saw5 [17]

Answer:

$\[x^2 + 22x + 121\]$

Step-by-step explanation:

Given

$\[x^2 + 22x + \underline{~~~~}.\]$

Required

Fill in the gap

Represent the blank with k

$\[x^2 + 22x + k\]$

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

<em />

Divide the coefficient by 2

Result = 22/2

Result = 11

Take the square of this result, to give k

k= 11^2

k= 121

Substitute 121 for k

$\[x^2 + 22x + 121\]$

The expression can be factorized as follows;

x^2 + 11x + 11x + 121

x(x + 11)+11(x+11)

(x+11)(x+11)

(x+11)^2

<em>Hence, the quadratic expression is </em>$\[x^2 + 22x + 121\]$<em></em>

8 0
3 years ago
Read 2 more answers
In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles.
My name is Ann [436]

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

7 0
3 years ago
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