Question 8 (2 points)
Gaston has an annuity that pays $250 at the beginning of each quarter. If the economy grows at a rate of 4.97% annually, what is the value of
the annuity if he received it in a lump sum now rather than over a period of eight years? (2 points)
$1,617.76
$1,698.17
$6,471.06
$6,792.67

Answer:

20 months.

Step-by-step explanation:

Let the number of months be represented as x

Apartment A is $1200 per month and requires a security deposit of $1000.

= $1200 × x + $1000

1200x + 1000

Apartment B is $1175 per month and requires a security deposit of $1500.

= $1175 × x +$1500

1175x + 1500

Apartment A = Apartment B

1200x + 1000 = 1175x + 1500

Collect like terms

1200x - 1175x = 1500 - 1000

= 25x = 500

x = 500/25

x = 20

Therefore, the costs for both apartment A and B will be the same after 20 months.

Answer: i believe it would be (-3 , 5)

Step-by-step explanation:

Correct me if im wrong

Answer:

(-3, 5)

Step-by-step explanation:

I could be mistaken, but I'm pretty sure it's that. You may want to graph the point yourself and double-check just to make sure.

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)

m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 3, 6 ), then

6 = 1 + c ⇒ c = 6 - 1 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line

Answer:

B

Step-by-step explanation:

Based on this persons answer this is what it it

Answer:

It's April

Step-by-step explanation:

Answer: B

April

Step-by-step explanation:

Answer:

Infinite Solutions

Step-by-step explanation:

If its the same line then any point is a viable answer

inconsistent equation

Answer:

L

Step-by-step explanation:

the square root is 7.2111111. thats the closest

Answer:

C. l

Step-by-step explanation:

The square root of 52 is about 7.211.

Since there is a negative sign in front of the square root, then it means that the answer is about -7.211.

On the number line you have a little bit over -7.3, a little less than -7.3 and a little more than -7.2. The closest answer would be the point that is a little more than -7.2.

Please correct me if I am wrong. I hope this helps!

Answer:

The most sense-making answer according to my calculation is B

Step-by-step explanation:

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

D

Step-by-step explanation:

Do not listen to the other answer, D is what is correct

Answer:

kayla and 9968

Step-by-step explanation:

Answer:

Jeff, 9968

Step-by-step explanation:

you can take the tens and ones of the number you are multiplying by and use those number to multiply by the first number

50 is in the tens

6 is in the ones

178×56= 9968

Answer:

£4.48

Step-by-step explanation:

Answer:wow this is hard

Step-by-step explanation:

Answer:

inches:-69

feet:-5 9/12 (-5 3/4 simplified)

Step-by-step explanation:

Write out the equation and distribute.

3x – 1 = 2(x + 34)

3x - 1 = 2x + 68

Get rid of the variable on one side first (it makes solving the equation less complicated.)

3x - 1 = 2x + 68

-3x       -3x

-1 = -x + 68

Subtract 68 on both sides.

-1 = -x + 68

-68       -68

-69 = x

I'm guessing that the answer in feet and inches would be...

inches:-69

feet:-5 9/12 (-5 3/4 simplified)

I'm not sure how feet and inches can be negative, but that's what I got for the answer...hope this helps! Have an amazing day C:

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 36x² - 81y²

Factorize the expression, then we have

⇒ 36x² - 81y²

⇒ (6x)² - (9y)²

⇒ (6x - 9y)(6x + 9y)

The factors of the expression 36x² - 81y² will be (6x - 9y) and (6x + 9y). Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544

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Answer:

{y,x}={  

3

11

​  

,  

3

19

​  

}

Step-by-step explanation:

Answer:

x is all real numbers.

Step-by-step explanation:

The domain of a function is a set of all real numbers.

x is equal to 8 and any numner greater than 8

Answer:

X is larger than 7

Step-by-step explanation:

X-4>3

X>3+4

X>7

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

m<14 = 138°

Learn more here:

https://brainly.com/question/24607467

Answer:

30

Step-by-step explanation:

When g = 12 and h = 7, the value of the expression is 30.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is 4(g - h) + 10.

Substitute the values of g and h as g = 12 and h =7, we get,

4(g - h) + 10 = 4(12 - 7) + 10

                   = (4 × 5) + 10

                   = 20 + 10

                   = 30

Hence the value of the expression is 30.

To learn more about Expressions, click on the link :

https://brainly.com/question/28170201

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Answer:

120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

Answer:

C.The equation has a positive y-intetcept

Step-by-step explanation:

def not lying

Answer:

C,D

Step-by-step explanation:

Answer:

32t+72

Step-by-step explanation:

Answer:

1x+5

Step-by-step explanation:

Answer:

$81

Step-by-step explanation:

27+27+27=$81