maggie weighs 105 lbs for her height and weight it is recommended that she be at least 120 lbs. and no more than 160 lbs. if she wanted to be in the middle of the healthy range how much weight should she gain?

Answer:

a

Step-by-step explanation:

The quotient of the given expression is -2/5.

The number we obtain when we divide one number by another is the quotient

Given is the expression as -

- (4/5) ÷ 2

The given expression is -

- (4/5) ÷ 2

- (4/5) x 1/2

- 2/5

Therefore, the quotient of the given expression is -2/5.

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Answer:

$13,952.30

Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

A = 13500 [ 1 + 0.00275 ] ^ 12

A = 13500 [1.00275 ] ^ 12

A = 13500 (1.0335)

A = $13,952.30

The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]

Future value, A(1) = $13,952.30.

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Complete Question;

Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.

The given figure is missing so I attached it below

m∠ A B C = 72°

m∠ F B C = 108°

m∠ A B D = 90°

m∠ D B E = 18°

Step-by-step explanation:

∵ Lines A F and C E are intersected at point B

∴ ∠ A B C and ∠ F B E are vertical opposite angles

- That mean they are equal in measures

∴ m∠ A B C = m∠ F B E

∵ m∠ F B E = 72°

∴ m∠ A B C = 72°

∵ Ray F B and line E C are intersected at B

∴ ∠ C B F and ∠ F B E formed a pair of linear angles

- Their measures is 180°

∴ m∠ C B F + m∠ F B E = 180°

∵ m∠ F B E = 72°

∴ m∠ C B F + 72 = 180

- Subtract 72 from both sides

∴ m∠ C B F = 108°

∵ Ray B D ⊥ to line A F

- That mean ∠ A B D and ∠ F B D are formed a pair of linear

  angles equal in measures, then their measures is 180 ÷ 2 = 90

∴ m∠ A B D = m∠ F B D = 90°

∴ m∠ A B D = 90°

∵ Ray B E divides ∠ D B F into two angles D B E and F B E

∵ m∠ F B D = 90°

∴ m∠ D B E + m∠ F B E = 90°

∵ m∠ F B E = 72°

∴ m∠ D B E + 72 = 90°

- Subtract 72 from both sides

∴ m∠ D B E = 18°

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Answer:

7.5

Step-by-step explanation:

The given exponential function is

[tex]f(x) = {2}^{x} + 3[/tex]

The average rate of change over a≤x≤b is given by;

[tex] \frac{f(b) - f(a)}{b - a} [/tex]

This implies that the average rate of change between the values 1 ≤ x ≤ 5 is

[tex] \frac{f(5) - f(1)}{5 - 1} [/tex]

We evaluate to get:

[tex]\frac{ {2}^{5} + 3 - {2}^{1} - 3}{4} = \frac{30}{4} = \frac{15}{2} = 7.5[/tex]

Answer:

$5

Step-by-step explanation:

3/4 is the same as .75;

.75•20=15

20-15=5

Cost of each book is $ 8 and cost of each pencil is $ 6

Solution:

Let "a" be the cost of 1 book

Let "b" be the cost of 1 pencil

John paid $34 for 2 books and 3 pencils

Therefore,

2 books x cost of 1 book + 3 pencil x cost of 1 pencil = 34

[tex]2 \times a + 3 \times b = 34[/tex]

2a + 3b = 34 ----------- eqn 1

He paid $36 for 3 books and 2 pencils

3 books x cost of 1 book + 2 pencil x cost of 1 pencil = 36

[tex]3 \times a + 2 \times b = 36[/tex]

3a + 2b = 36 -------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

4a + 6b = 68 ---------- eqn 3

Multiply eqn 2 by 3

9a + 6b = 108 --------- eqn 4

Subtract eqn 3 from eqn 4

9a + 6b = 108

4a + 6b = 68

( - ) -------------

5a = 40

a = 8

Substitute a = 8 in eqn 1

2(8) + 3b = 34

16 + 3b = 34

3b = 34 - 16

3b = 18

b = 6

Thus cost of each book is $ 8 and cost of each pencil is $ 6

Answer:

Therefore the value of p is -3.

Step-by-step explanation:

Given a line has a slope of [tex]-\frac{1}{7}[/tex] and passes through (4,-2)and (p,-1)

The slope of a line which passes through [tex](x_1,y_1)[/tex]   and   [tex](x_2,y_2)[/tex] is

[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]x_1= 4,y_1=-2, x_2=p[/tex] and [tex]y_2= -1[/tex]

Therefore the slope of the line which passes through the given points is

[tex]=\frac{-1+2}{p-4}[/tex]

According to the problem,

 [tex]\frac{-1+2}{p-4}= -\frac{1}{7}[/tex]

[tex]\Leftrightarrow \frac{1}{p-4} =-\frac{1}{7}[/tex]

[tex]\Leftrightarrow p-4=-7[/tex]

[tex]\Leftrightarrow p = -7+4[/tex]

[tex]\Leftrightarrow p = -3[/tex]

Therefore the value of p is -3.

This is the graph:

-5x=14

x=-2.8

Answer:

2(8y+9m)

Step-by-step explanation:

The factors common to 12x and 18xy are 1, 2, 3, 6, and x.

The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.

The GCF of the expression is 6.

Answer: Options B, C and E.

Explanation:

Factors are numbers we can increase together to get another number. At the point when we discover the components of at least two numbers, and afterward discover a few variables are the equivalent ("normal"), at that point they are the "basic elements".

These are the factors which are common in the whole expression or are common in any two equations at the time of comparison. The common factor which is the biggest is known as the greatest common factor.

Answer:

B,C,E

Step-by-step explanation:

Answer:9-x/4+3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:  y intercept

Step-by-step explanation:

Answer:

P = (0,4) Q = (2,0)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

divided 16 by 4 which is 4. then multiply 2 by 6, which is 12. then multiply 4 by 12. Remember to always do ( ) first. 4 by 12 is 48. Then do 48 divided by 6 which is 8. then add 8+4 which is 12.

Answer:

x=1

Step-by-step explanation:

hello :

3x+3 =6

means : 3x+3-6 =6-6

           3x -3 =0

add 3 : 3x = 3 divid by 3 : x=3/3=1

The required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given function,
f(x)=3x+3,

Since we have given f(x) = 6, we have to determine the value of x for which the function gives 6,
Now,
f(x)=3x+3

Substitute f(x) = 6
6 =3x + 3
3x = 6 - 3
3x = 3
x = 1

Thus, the required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.

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Answer:$200

Step-by-step explanation:

Answer:

Answer:

8

Step-by-step explanation:

2/5*20= 8

You can use the attachment above ^^

Answer: It would Be 8

Step-by-step explanation:

You would just multiplie

2/5 x 20

So 2x20/5= 40/5

Then simplify to 8

Answer:

11,600

Step-by-step exp

the 4 in the tens place means the 6 stays the same

Answer:

11,600

Step-by-step explanation:

think of 100... that 1 is in the hundred place.  when rounding you look to the number to the right of that place. if that number is less than 5 you dont round up.  if the number is 5 or greater you round up.  in this case 11,647 the number 6 is in the hundred place.  look to the right of it. in this case it is 4.  4 is less than five so you don't round up.  your number 11,647 rounded to the hundred place is 11,600.

Answer:

This would equal 64

Step-by-step explanation:

To find the volume of a cube you multiply the length x width x height.

So in this case this would be 4 x 4 x 4 = 64

This is the easiest shape to find the volume.

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Answer:

the Answer here is A

Step-by-step explanation:

Final answer:

The center of the circle is (3, -4) and the radius is approximately 5.66 units.

Explanation:

To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

So, let's complete the square for both x and y terms in the given equation:

(x^2 - 6x) + (y^2 + 8y) = 7

(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16

(x - 3)^2 + (y + 4)^2 = 32

Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.

To find Terry Wade's cost per mile, his variable and fixed costs are summed and then divided by the total miles driven, yielding a cost per mile of approximately $0.33.

To calculate Terry Wade's cost per mile for using his car, we first need to add together his variable and fixed costs, and then divide this total by the number of miles he drove last year.

This gives us the cost per mile.

Step 1: Add variable and fixed costs.
Variable costs = $1,876.88
Fixed costs = $1,685
Total costs = Variable costs + Fixed costs = $1,876.88 + $1,685 = $3,561.88

Step 2: Divide the total costs by the number of miles driven.
Number of miles driven = 10,846 miles
Cost per mile = Total costs ÷ Number of miles driven = $3,561.88 ÷ 10,846 miles
Cost per mile ≈ $0.328 or rounded to the nearest cent, $0.33.

Therefore, the cost per mile for Terry Wade last year was $0.33, making the correct answer B $0.33.

Step-by-step explanation:

Given the coordinate of C is (-3,1) and D is (5,6)

The length of a line  segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is  =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here [tex]x_1=-3 ,y_1=1[/tex]  and   [tex]x_2=5,y_2=6[/tex]

Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]

                                                                           =[tex]\sqrt{89}[/tex] units

                                                                           =9.43 units

Answer:

2

Step-by-step explanation:

4 divided by 2 equals 2

Answer:

3

Step-by-step explanation:

Answer:

503,049

Step-by-step explanation:

250,000 × 1.06^12 is the formula.

You take the percentage which is 6% and you add 1 to it.

So, you get 1.06

Then you take the 1.06 and raise it to the number of years which is 12.

1.06^12

Then you multiply that number to the base number which is 250,000 and get 503,049.

Hope this helps!

Final answer:

To find the population after 12 years given a 6% annual growth, we apply the exponential growth formula. With an initial population of 250,000, the formula gives approximately 503,054 as the population after 12 years.

Explanation:

To calculate the population of a city after 12 years when it grows by an annual rate of 6%, we utilize the formula for exponential growth, P(t) = P0 * [tex](1 + r)^t[/tex], where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the number of years.

Given:

The population after 12 years can be calculated as follows:

P(12) = 250,000 * [tex](1 + 0.06)^{12}[/tex]

P(12) = 250,000 * [tex](1.06)^{12}[/tex]

P(12) ≈ 250,000 * 2.0122

P(12) ≈ 503,054

Therefore, the estimated population after 12 years is approximately 503,054.

A) g(36) = 1260

B) f(2) + 1 = 9

Solution:

Given that,

[tex]f(x) = 3x + 2\\\\g(x) = x^2-x[/tex]

Find each value

Substitute x = 36 in g(x)

[tex]g(36) = (36)^2 - 36\\\\g(36) = 1296-36\\\\g(36) = 1260[/tex]

Substitute x = 2 in f(x)

[tex]f(2) + 1 = 3(2) + 2 + 1\\\\f(2) + 1 = 6 + 2 + 1\\\\f(2) + 1 = 9[/tex]

Thus the values are found

Final answer:

To solve the functions, substitute the given values into the relevant function. After performing calculations, g(36) is found to be 1260, and f(2) + 1 is calculated to be 9.

Explanation:

To find the values for given functions, we need to substitute the relevant inputs into each function and then perform the necessary calculations.

A. g(36)

Given g(x) = x² \\- x, we substitute x with 36:

g(36) = 36² \\- 36 = 1296 \\- 36 = 1260.

B. f(2) + 1

Given f(x) = 3x + 2, we first find f(2):

f(2) = 3(2) + 2 = 6 + 2 = 8.

Now, we add 1 to f(2):

f(2) + 1 = 8 + 1 = 9.

Answer:

The volume of the figure given is [tex]4000[/tex] cubic units

Step-by-step explanation:

The given figure is in the shape of a Right Square Pyramid.

The volume of a right square pyramid can be calculate by:

       Volume of a right square pyramid =

                                                                  [tex]a^3\frac{h}{3}[/tex]

where 'a' is the length of the base of the pyramid which is equal for all the four side of the base and 'h' is the height of the pyramid which is perpendicular to the base of it.

Given:            [tex]a=10[/tex] units

                      [tex]h=12[/tex] units

Putting the values in the volume of the right square pyramid.

                              [tex]=10^3\frac{12}{3}\\\\ =10^3*4\\\\=4000[/tex]

       The volume of the figure given is [tex]4000[/tex] cubic units

Answer:

d = distance

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Step-by-step explanation:

Answer:

The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation: