You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.

Answer:

d. table A and graph A

Step-by-step explanation:

y=3x

y = 3X is represented by graph B .

y = 3X is represented by table A .

Hence option C is correct .

Given, Equation : y = 3X

Now, to get the values of y substitute x.

Firstly table A:

y = 3X

x = 1 : y = 3

x = 2 : y = 6

x = 3 : y = 9

Thus table A represents the equation .

Next graph B :

Starting point of graph B is origin.

Coordinates of origin : (0,0)

Equation of graph B : y = 3X

Thus graph B represents the equation .

Therefore option C is correct .

Know more about equations,

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Answer:

x = 4

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Answer:

x=4

Step-by-step explanation:

4x+y=10 then, plug in y

4x+(-6)=10 then, isolate x by adding 6to both sides,

+ 6 +6 then, divide by 4 on each side

4x/4=x

16/4=4

x=4

Answer:

diego. 80+(5x3)= 95

it isn't priya because 30+(5x3)=45

Answer: illegel input- too many equals signs

Step-by-step explanation:

Answer:

5 and 5/13

Step-by-step explanation:

What is the length of the side opposite ∠D?

✔ 5

units

sin(D) =

✔ 5/13

Answer:

141.5 in

Step-by-step explanation:

sin 58 = m/p = 120/p

120 = psin58

120/sin 58 = p

p = 141.5 in.

Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side.  Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p

Answer:

Height of the parallelogram = 37.5 cm

Step-by-step explanation:

As given,

Base of a parallelogram = 75 cm

Height of a parallelogram = 25 cm

As,

we know that

Area = Base × Height

        = 75 × 25

        = 1875 cm²

As the parallelogram is same

So, Area = Base × Height

⇒1875 = 50 × Height

⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm

So, we get

Height of the parallelogram = 37.5 cm

Answer:

9x^5

Step-by-step explanation:

the factors of 45:

1, 3, 5, 9, 15, 45

the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest common is 9

Answer:

The answer is 3

Step-by-step explanation:

because I said so

(-1,7) X (8,7) Y ( 6-2), ( -3 -2).

Answer:

s = -11

Step-by-step explanation:

14 = -2s - 8

22 = -2s

2s = -22

s = -11

14= -2s -8

+8 +8 Add 8 to both sides to isolate -2s

22= -2s

--- ----

-2 -2 Divide -2 by both sides

-11=s This is the answer.

Answer:

C. 2x + 12

Step-by-step explanation:

2(10) + 2(x-4)

= 20 + 2x - 8

= 2x + 20 - 8

= 2x + 12

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

Answer:

z=95

Step-by-step explanation:

z-28=67

 +28  +28

x=95

all you have to do is make both side of the eqaution balanced

if you add 28 to one side you do it to the other side as well

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

Answer:

Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)

=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)

=1+2sin A+1/cos A(1+sin A)

=2(1+sin A)/cos A(1+ sin A)

=2sec A

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction

= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator

= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]

= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]

= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator

= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator

= [tex]\frac{2}{cosA}[/tex]

= 2secA = right side, thus verified

Answer:

5(x)+5(y)=10

10(x)+2(y)=12

Step-by-step explanation:

i just got done with that same thing

Answer:

log h 9 + log h j +log h k

Step-by-step explanation:

i got it right on edg

Answer:

it is B for all u speed run edge people

Step-by-step explanation:

big luck in life

Answer:

i think its the 3rd option

Answer:x= 38.079

Step-by-step explanation:

Answer:

$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .

Answer:

We conclude that the value of k represented as a decimal rounded to the nearest tenth is:  [tex]k = 16.8[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

We need to determine the value of k, represented as a decimal rounded to the nearest tenth.

Let us solve the expression

[tex]\frac{5}{7}=\frac{12}{k}[/tex]

Apply cross-function multiply:   if [tex]\frac{a}{b}=\frac{c}{d}[/tex]  then [tex]a\cdot \:d=b\cdot \:c[/tex]

[tex]5k=7\cdot \:12[/tex]

[tex]5k=84[/tex]          ∵ 7 · 12= 84

Divide both sides by 5

[tex]\frac{5k}{5}=\frac{84}{5}[/tex]

Simplify

[tex]k=\frac{84}{5}[/tex]

[tex]k = 16.8[/tex]    (Rounded to the nearest 0.1 or  the Tenths Place)

Therefore, we conclude that the value of k represented as a decimal rounded to the nearest tenth is:   [tex]k = 16.8[/tex]

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

[tex]a_{n} = a_{1} r^{n - 1}[/tex]    

n = 7 and the first term is 1.  So,

[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]

Seventh term is 64

[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]

[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]

    [tex]= \frac{128 - 1}{1} = 127[/tex]

Sum of the first seven terms is 127

Answer:

C≈51.84in

Step-by-step explanation:

C=2πr

d=2r

Solving for C

C= πd= π·16.5≈51.83628in

Answer:

3(4y + 6)

6(3 + 2y)

2(9+6y)

Step-by-step explanation:

When factored, all of them are equivalent to 12y + 18.

Answer:

6(2 + 3y), 6(3 + 2y), and 3(4y + 6)

Step-by-step explanation:

6(2 + 3y)= 18y+12

2(6 + 9)=30

209 + 6y)= can't factor

6(3 + 2y)= 12y+18

3(4y + 6)=12y+18

hope this helps :)

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!