3. A student gets a grant of $10 000 a year. Assuming her grant is increased by 7% each year, what will her grant be in four years time? ​

Step-by-step explanation:

I cannot see all the answer options.

square garden, side length x.

area = x² (or x×x)

new area r = (x-p)(x+q) = x² - px + qx - pq =

= x² + (q - p)x - pq

3D printer. costs p in general.

makes x figurines.

material per figurine costs q.

costs per figurine r = q + p/x

as the printer costs themselves need to be distributed equally across all produced figurines.

investment account. q% pretty year.

p dollars starting balance.

letting it sit for x years.

a0 = p

a1 = a0 + a0×q/100 = a0 × (1 + q/100)

a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²

a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³

...

ax = a0×(1 + q/100) to the power of x =

= p × (1 + q/100) to the power of x

account without interest. p dollars are already in it.

adding q dollars every month for x months.

balance after these x months

r = x×q + p = q×x + p

Answer:

(f+g)(x) = 60x + 400

Step-by-step explanation:

Given :

Amount in account A:

f(x) = 20x + 100

Amount in account B :

g(x) = 40x + 300

Total amount in Account A and B:

f(x) + g(x) = (20x + 100) + (40x + 300)

(f+g)(x) = (20x + 40x) + (100 + 300)

(f+g)(x) = 60x + 400

Answer:

The answer for the question is -1.5

Answer:

55

Angle C is a inscribed angle of the of Arc Ba.

CA is the diameter so that means Arc BA equal 110 becuase

110+70=180.

Angle C is half of Arc BA so Angle C is

[tex]55[/tex]

Answer:

I've attached the Answer

Answer:

a = - 2

Step-by-step explanation:

Given x = a, y = 3 lies on the equation. That is the values satisfies the equation when substituted.

Find a :

Equation : 5x + 2y = - 4

                5 ( a ) + 2 ( 3) = - 4

                5a + 6 = - 4

                 5a + 6 - 6 = - 4 - 6               [ subtracting both sides by 6 ]

                 5a  + 0 = - 10

                   5a = - 10

                    a = - 2                               [ dividing both sides by 5]

[ fact check : If (-2 , 3 ) lies on the equation : 5x + 2y = - 4

                                                                    5(-2) + 2( 3 ) = - 4

                                                                   - 10 + 6 = - 4

                                                                         - 4 = - 4 ]

The answer would be A. 449.1 cm2.

Answer: 28

Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.

Answer:

C 8.9

Step-by-step explanation:

all these lines (from the same point of origin, cutting into and through a circle, ending at the far end of the circle they are cutting into) have the same relation of their lengths :

a×(a+b) is the same for all these lines.

with a being the first segment from the point of origin to touching the outside of the circle, and b being the length of the line inside the circle.

so,

4×(4+16) = 8×(8+2) = 80

this is correct for these two lines.

now, the line with the length x is a special case, as it does not really go through a circle, it only touches them.

but the length relation applies also to this line. it is just that the length inside the circle is 0.

so,

x×(x+0) = 80 (the same value as for the other lines)

must be true here too.

=>

x² = 80

x = sqrt(80) ≈ 8.9

Answer:

When you solve for y, you get y = 20.

Step-by-step explanation:

You isolate the variable by dividing each side of the equation by the number with the variable, therefore getting 20.

[tex]\longrightarrow{\green{d.\:y\:=\:20}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex]\:56 = 2.8y[/tex]

➝[tex]\:y = \frac{56}{2.8} [/tex]

➝[tex]\:y = 20[/tex]

Therefore, the value of [tex]y[/tex] is 20.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➝[tex]\:56 = 2.8y[/tex]

➝[tex]\:56 = 2.8 \times 20[/tex]

➝[tex]\:56 = 56[/tex]

➝[tex]\:L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

35 oz =  2.1875 lb

Step-by-step explanation:

There are 16 ounces in a pound.

35/16 = 2.1875

35 oz =  2.1875 lb.

Hope this helps.

Step By Step Explanation:

Answer:

x = 14

Step-by-step explanation:

Triagle GIA and Triangle GNT are congruent.

Answer:

7 5/6

Step-by-step explanation:

16 2/3 - 8 5/6

16 4/6- 8 5/6

7 5/6

Answer: 1/8, 0.13, 1/2, 7/8

Step-by-step explanation: Mental Math

Step-by-step explanation:

0.13,1/2,1/8,and 7/8

hope it is helpful to you

Answer:

Step-by-step explanation:

The equation of blue line A is x = 1.

That of blue line B is y = 4.

Answer:

Step-by-step explanation:

Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is

J + M = 230. The second equation is

J + K = 130. The third equation is

M = 3K. Sub that 3K into the first equation and get

J + 3K = 230. Now take th second equation and solve it for J:

J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:

130 - K + 3K = 230 and

2K = 100 so

K = 50

Kevin has $50

Answer:

point a

Step-by-step explanation:

start from the axis go up 3 to the left one and point a is five units below point g

Answer:

Point B is 5 units from point G.

Step-by-step explanation:

The ordered pair (3,-1) is 4 units down from point D.

And point B is 5 units to the left of point G.

Answer:

let's use Pythagoras theorem,

h²=b²+l²

so,

ad²=ac²+dc²

6²=ac²+3²

36-9=ac²=27

√27 can be written as 3√3,

hence ac= 3√3

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

Step-by-step explanation:

bla bla bla bla123222222333333

129° + x = 180°. [Linear pair]

=> x = 180° - 129°

=> x = 51°

Answer:

[tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option)

Step-by-step explanation:

The midpoint of a segment connecting two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] can be described by the following formula: [tex]\frac{x_1 + x_2}{2} = x_{mid}[/tex] and [tex]\frac{y_1 + y_2}{2} = y_{mid}[/tex]. As you can see, the formula essentially takes the average of the x- and y-coordinates to find the point in the middle.

With points (u, v) and (s, t), the midpoint becomes [tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option).

Answer:

the answer is the second option

Step-by-step explanation:

it is

Answer:

11

Step-by-step explanation:

those alternate angles are equal to each other

5x+4=59

5x=55

x=11

Answer:

(5x + 4) = 59

5x = 59 - 4

5x = 55

x = 55/5

x = 11

Answer:

the product of the 2 numbers is 22

Step-by-step explanation:

x² + y² = 80

(x - y)² = 36

=>

x - y = 6

or y - x = 6

let's start with the first one x-y=6

x = 6 + y

=>

(6+y)² + y² = 80

y² + 6y +6y + 36 + y² = 80

2y² + 12y + 36 = 80

2y² + 12y - 44 = 0

y² + 6y - 22 = 0

the solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here we have an squadron in y.

a=1

b=6

c=-22

(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =

= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =

= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)

y1 = -3 + sqrt(31)

y2 = -3 - sqrt(31)

=>

x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)

x2 = 3 - sqrt(31)

control :

(-3 + sqrt(31))² + (3 + sqrt(31))² = 80

9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80

9 + 31 + 9 +31 = 80

18 + 62 = 80

80 = 80 correct

solving now for y-x=6

delivers exactly the same calculations, just with x and y trading places.

so, the resulting 2 number pairs are the same.

the product of the 2 numbers :

(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =

= -9 + 31 = 22

(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =

= 22

so, the product is the same in both cases.

Answer:

5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Evaluate:

Sqrt of k = 32 + m = -14

Sqrt of 32-14 = 9

Sqrt of 9 = 3

Therefore, our answer is 3!

Btw sqrt means: square root

Hope this helps! Have a good day!

Answer:

Step-by-step explanation:

(-5 , 2) here -5 is x coordinate and 2 is y coordinate since x coordinate is negative and y coordinate is positive it lies in II quadrant.

(2 , -5) here 2 is x coordinate whereas -5 is y coordinate and siince x coordiante is positive and y coordinate is negative it lies in IV quadrant.

(x^3 - 2)(x^2 + 11)

to find the degree of polynomial first u need to factor this out

x^3(x^2 + 11) -2(x^2 + 11)

x^3 * x^2 + x^3 * 11 - 2 * x^2 - 2 * 11

x^3+2 + 11x^3 - 2x^2 - 22

x^5 + 11x^3 - 2x^2 - 22

since the highest degree is 5 the degree of the polynomial is also 5.

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

2/3

Step-by-step explanation:

25=125^k

5^2=5^3k

2=3k

k=2/3

The value of k is k = 2/3.

The number of times a number is multiplied by itself is referred to as an exponent.

Given that, [tex]25 = 125^k[/tex].

Follow the steps to find the value of k:

[tex]25 = 125^k\\\\5^2=(5^3)^k\\\\5^2=5^{3k}[/tex]

Since the base of the exponents is the same, it follows:

2 = 3k

k = 2/3

Hence, the value of k is k = 2/3.

Learn more about exponents here:

https://brainly.com/question/5497425

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