John finances his daughter's college education by making deposits into a fund earning interest at an annual effective rate of 8%. For 18 years he deposits X at the beginning of each month. In the 16th through the 19th years, he makes a withdrawal of 25,000 at the beginning of each year. The final withdrawal reduces the fund balance to zero. Calculate X.

Hey there!

ASSUMING….
-14.4 = -1.2m

-1.2m = -14.4

DIVIDE -1.2 to BOTH SIDES

-1.2m/-1.2 = -14.4/-1.2

SIMPLIFY IT!

m = -14.4/-1.2

m = 12

Therefore, the answer should be:

m = 12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$3185

Step-by-step explanation:

Multiply the number of grade 6 students by the money needed ($3.50) and you get 318x3.50=1113

Multiply the number of grade 7 students by the money needed ($3.50) and you get  286x3.50=1001

Multiply the number of grade 8 students by the money needed ($3.50) and you get 306x3.50=1071

Add all the total amounts together and you get $3185

Answer:

200-2 = 198

Step-by-step explanation:

If you have 200 apples and you eat two you have 198 apples

Answer:

D. Closure

Step-by-step explanation:

D. Closure

Answer:

$5.25 for 2lbs

Step-by-step explanation:

C=total cost

C=4p-2.75

---

C=4(2)-2.75

C=$5.25

Answer:

$5.25 the expression is $4p-2.75

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hrs. of labor

Step-by-step explanation:

200-50= 150

150/25= 6

Answer:

-27 or 1/27 ( both are same)

Step-by-step explanation:

-[tex]3^{3}[/tex]

-3 * -3 * -3

=-27 or 1/27

Find k if (x+1) is a factor of 2x³ + kx² + 1

k = 1

The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.

This is because;

i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.

ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e

=> (-3)² - 9

=> (9) - 9 = 0

Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.

From the question

Given polynomial: 2x³ + kx² + 1

Given factor: x + 1.

Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e

2(-1)³ + k(-1)² + 1 = 0

2(-1) + k(1) + 1 = 0

-2 + k + 1 = 0

k - 1 = 0

k = 1

Therefore the value of k is 1.

Answer:

A. 7 + 4i

Step-by-step explanation:

Select the correct answer. What is -16 + 49 written as a complex number in the form ? A. 7 + 4i B.7 - 4i C.-4+7i D.4+7i

Writing as a complex number, we find the square root of -16 + 49

Hence:

√ -16 + 49 = √-16 + √49

= 4i + 7

Rearranging

= 7 + 4i

Therefore, the correct option is A. 7 + 4i

Answer:

Step-by-step explanation:

Answer:

x = 9.32

Step-by-step explanation:

For a right angles triangles , we can use trigonometry equations :-

In this case , we need to use sine equation in perpendicular :

sin θ = opposite side / hypotenuse

sin 58° = x / 11

x = sin 58 ° × 11

x = 0.84 × 11

x = 9.32852906

Round nearest tenth = 9.32

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

Answer:37.68

Step-by-step explanation:

Do yk the anwser to my question?

Answer:

Fig. 1 :- 7.6

Fig. 2 :- 15

Step-by-step explanation:

We can use Pythagoras theorem to solve for x

[tex]c^{2} =a^{2} +b^{2}[/tex]

Figure 1:

[tex]c^{2} =7^{2} +3^{2}[/tex]

[tex]c^{2} =49+9[/tex]

[tex]c^{2} =58[/tex]

[tex]c=\sqrt{58}[/tex]

[tex]c=7.615773106[/tex]

You can now round your answer:

[tex]c=7.6[/tex]

Figure 2:

[tex]c^{2} =12^{2} +9^{2}[/tex]

[tex]c^{2} =144+81[/tex]

[tex]c^{2} =225[/tex]

[tex]c=\sqrt{225}[/tex]

[tex]c=15[/tex]

I hope this helps :)

Step-by-step explanation:

fig(1)

h=x

p=3

b=7

now,

h^2=p^2+b^2. (by Pythagoras theory)

or, x^2=3^2+7^2

or, x^2=9+49

or, x^2=58

or, x=√58

fig(2)

h=x

p=12

b=9

now,

h^2=p^2+b^2

or, x^2=12^2+9^2

or, x^2=144+81

or, x^2=225

or, x=15

The question is incomplete, the complete question is:

The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?

x + 3y = 42

2x − y = 14

A: Multiply the second equation by -3. The solution is x = 12, y = 9.

B: Multiply the second equation by -2. The solution is x = 12, y = 10.

C: Multiply the second equation by 2. The solution is x = 15, y = 9

D: Multiply the second equation by 3. The solution is x = 12, y = 10

Answer: The correct option is D.

Step-by-step explanation:

The elimination method is a technique wherein we eliminate the coefficient of any one variable.

The given equations are:

x + 3y = 42

2x − y = 14

We multiply the second equation by (3) and the equations formed are:

x + 3y = 42

6x − 3y = 42

The final equation after eliminating the y-term becomes:

7x = 84

x = 12

Putting value of 'x' in any of the original equation, we get:

⇒ 12 + 3y = 42

⇒ 3y = 30

⇒ y = 10

Hence, the correct option is D.

Answer:

Step-by-step explanation:

[tex] \frac{(p + q {)}^{2} }{(p + q {)}^{2}(p - q) } [/tex] ( cancel common factors)

I think it's the second one since the line goes the whole way through the circle. but it's hard to tell.

do you happen to know if it's the radius it diameter?

Answer:

Step-by-step explanation:

radius=diameter/2

=11/2

=5.5 mm

circumference=2πr

=2*3.14*5.5

=34.54 mm

Answer:

9 seconds

Step-by-step explanation:

When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:

[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]

Now you can solve this any way you like, such as by using:

[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]

This is an easy polynomial though, and you may be able to factor it just by eyeballing it:

[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]

You can't have negative time, so we reject -1, leaving only 9 as the answer.

Answer:

its the first answer.

hope this helps you a lot.

Chord is a line that joins any two points on the circle

AC,BC

OPTION A is the correct answer

Answer:

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Step-by-step explanation:

Given

[tex]x_1 = -2[/tex]

[tex]x_2 = 3[/tex]

[tex](x,y) = (-1,2)[/tex] --- a point on the parabola

Required

The equation

First, calculate the equation from the zeros

[tex]y =k(x - x_1)(x - x_2)[/tex]

Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]

[tex]y =k(x - -2)(x - 3)[/tex]

[tex]y =k(x +2)(x - 3)[/tex]

To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]

[tex]2 = k(-1+2)(-1-3)[/tex]

[tex]2 = k(1)(-4)[/tex]

[tex]2 = -4k[/tex]

Divide by -4

[tex]k=\frac{2}{-4}[/tex]

[tex]k=-\frac{1}{2}[/tex]

So, the equation is:

[tex]y =k(x +2)(x - 3)[/tex]

[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]

Answer:

C

Step-by-step explanation:

Answer:

Well, in geometry, the properties would be that the angles produced by the intersection of the diagonals are right angles. A kite is basically entertainment, made by cloth and string

A kite is a four sided shape. Like an elongated rectangle.a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other instead of being adjacent. Kite quadrilaterals are named for the wind-blown, flying kites, which often have this shape and which are in turn named for a bird. Kites are also known as deltoids, but the word "deltoid" may also refer to a deltoid curve, an unrelated geometric object.Kites have been used for human flight, military applications, science and meteorology, photography, lifting radio antennas, generating power, aerodynamics experiments, and much more.

Duncan is putting icing on the top of a rectangular cake if the top of the cake is 6 inches wide by 10 inches long what is the area of the top of the cake

A. 80 square inches

B.60 square inches

C.30 square inches

D. 120 square inches

Answer:

B- 60 square inches

Answer:

f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:

Answer:

5 months

Step-by-step explanation:

150 + 45x = 195 240 285 330 375 420

125 + 50x = 175 225 275 325 375 425

Answer:

The value of f(1) is A. 0

Step-by-step explanation:

In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0

Answer:

56

Step-by-step explanation:

they are same side interior angles so both add up to 180 so just subtract 124 from 180 to get 56

Given:

The parent function is:

[tex]f(x)=2^x[/tex]

The other function is:

[tex]g(x)=2f(x)[/tex]

To find:

The statement that describes a key feature of function g.

Solution:

We have,

[tex]f(x)=2^x[/tex]

[tex]g(x)=2f(x)[/tex]

Using these two functions, we get

[tex]g(x)=2(2)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]g(x)=2(2)^{(0)}[/tex]

[tex]g(x)=2(1)[/tex]

[tex]g(x)=2[/tex]

The y-intercept of the function g at (0,2). So, option A is correct and option B is incorrect.

We know that [tex]g(x)\to 0[/tex] as [tex]x\to -\infty[/tex] and it will never intersect the line [tex]y=0[/tex]. It means the horizontal asymptote of the function g is

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

a. 15%

b. .73

c. 39/100, .39

d. .04, 4%

e. 77/100, 77%

f. 46/100, .46

g. .5, 50%

h. 6/100, 6%

i. 80/100, .8

j. .26, 26%

Step-by-step explanation:

Let's do the Fraction to Percent part first. Since all of the fractions have 100 in the denominator, this should be easy. The first one is 15/100 so this is just 15%, the next one is 73/100 and you can see that it is just 73%. It is the same way going from Percent to Fraction. On part f, we have 46%, so this will be 46/100.

For decimals, I recommend getting the percent first. I will use part f as my example again. You start with 46%. To make this a decimal, you just move the decimal point two spaces to the left. So, you end up with 0.46. To go from decimal to percent, you just move the point 2 spaces to the right.

Answer:

336 Peanuts

112 Walnuts

Step-by-step explanation:

So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.

It will look like _ : 224 : _

Next, divide 224 by 2 to get the number of walnuts, the number on the right.

So the number on the right will be 112.

Next, multiply 112 by 3 to get 336.

Answer:

23 thousandths. = 23 ÷ 10^3

9+4 × (6÷3) > (9+4×6) ÷ 3

5 tens + 2 hundredths. < 50.20

810.6 ÷ 10. = 8.106 × 10