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Vlada [557]
3 years ago
6

Inez earns $160 per month by babysitting. She saves 25% of her monthly salary. If her salary increases by 10% how much will she

now save each month?
Mathematics
2 answers:
elena55 [62]3 years ago
7 0

Answer: Now, she will save $44 each month

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the earnings per month of Inez ($160) by her salary increase (10%)

Percentage of increase: 10 %, in decimal form is 0.10 (10/100=0.1)

160 x 0.10 = $16

Now, we have to add the increase to the original salary to obtain the new salary:

160+16=176

Finally, we have to multiply the new salary by the amount she saves per month ( 25/100 = 0.25)

176 x 0.25 =44

Now, she will save $44 each month

ASHA 777 [7]3 years ago
6 0
This person will now save $44
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Suppose you are managing 15 employees, and you need to form three teams to work on different projects. Assume that all employees
Afina-wow [57]

Answer:

There are 17,418,240 different ways to choose the teams.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

A_{n} = n!

In how many different ways can the teams be chosen so that the number of employees on each project are as follows: 9, 4, 2?

This is:

Arrangement of 9 elements, followed by an arrangement of 4 elements followed by an arrangement of 2 elements. So

T = A_{9}*A_{4}*A_{2} = 9!*4!*2! = 362880*24*2 = 17418240

There are 17,418,240 different ways to choose the teams.

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3 years ago
Which expression can be modeled using the number line?
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Step-by-step explanation:

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3 years ago
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
the perimeter of a rectangle is 70 inches. the length of a rectangle is 5 less than 3 times its width. what is the witdth of the
Virty [35]

Answer:

The width is 10 inches

Step-by-step explanation:

Perimeter = 2(Length + Breadth)

Length(L) = 3B + 5

Perimeter = 70

70 = 2(3B + 5)

70 = 6B + 10

70 - 10 = 6B

60 = 6B

60/6 = B

B = 10 inches

4 0
3 years ago
There are between 60 and 100 children at the sunny side holiday camp. When the children are put into pairs, there is 1 child lef
Alik [6]

Answer:

2×5×8 = 80

80+1 81

There are 81 students in the camp

8 0
3 years ago
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