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Greeley [361]
3 years ago
6

Last year Rachel contributed $105 each month toward her 401k her employer matched 17% of her contributions what was the total am

ount contributed
Mathematics
1 answer:
umka2103 [35]3 years ago
7 0
When it comes to finding the percent of something, you simply divide the percent by 100 and multiply that number by the given amount, like so:
105*.17=17.85
$17.85
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11 can someone please explain this
Ann [662]

Answer:

46 degrees

Step-by-step explanation:

7 0
3 years ago
What is the remainder to x^3+4x^2+x-6 divided by (x-1)
serg [7]

x^3=x^2\cdot x, and x^2(x-1)=x^3-x^2. This gives a remainder of

(x^3+4x^2+x-6)-(x^3-x^2)=5x^2+x-6

5x^2=5x\cdot x, and 5x(x-1)=5x^2-5x. This gives a new remainder of

(5x^2+x-6)-(5x^2-5x)=6x-6

6x=6\cdot x, and 6(x-1)=6x-6. This gives a new remainder of

(6x-6)-(6x-6)=0

and so there is no remainder.

###

Quicker method: Use the polynomial remainder theorem, which says the remainder upon dividing a polynomial p(x) by x-c is p(c). Here we have

p(x)=x^3+4x^2+x-6

c=1\implies p(c)=1+4+1-6=0

5 0
4 years ago
John and Erica each have a marble collection. • The number of marbles in John's collection can be represented by x. • The number
tangare [24]

Answer: John has 52 marbles in his collection

Step-by-step explanation:

Step 1

LET The number of marbles in John's collection can be represented by x.  The and the number of marbles in Erica  collection can be represented as =4x+ 10

The total number of marbles in both collections is 270 such that the expression to solve the equation will be

JOHN + ERICA = 270marbles

X + 4X+ 10= 270

Step 2--- solving

X + 4X+ 10= 270

5X+ 10= 270

5X= 270-10

5X= 260

X= 260/5

=52

John has 52 marbles in his collection

Erica has 4x + 10 = 4x 52 + 10=218 marbles

4 0
3 years ago
Determine the volume of the solid that lies between planes perpendicular to the x-axis at x=0 and x=4. The cross sections perpen
OverLord2011 [107]

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- Solid lies between planes x = 0 and x = 4.

- The diagonals rum from curves y = sqrt(x)  to  y = -sqrt(x)

Find:

Determine the Volume bounded.

Solution:

- First we will find the projected area of the solid on the x = 0 plane.

                              A(x) = 0.5*(diagonal)^2

- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,

                              A(x) = 0.5*(sqrt(x) + sqrt(x) )^2

                              A(x) = 0.5*(4x) = 2x

- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:

                              V = integral(A(x)).dx

                              V = integral(2*x).dx

                               V = x^2

- Evaluate limits 0 < x < 4:

                               V= 16 - 0 = 16 unit^3

3 0
3 years ago
20 POINTS AND GIVING BRIANLIEST !!!
allsm [11]
it’s C i’m pretty sure
7 0
3 years ago
Read 2 more answers
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