ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.

Answer:

2.6

Step-by-step explanation:

Answer: x = 25 mi

Step-by-step explanation:

Sides QO and TR are corresponding.

Sides QP and TS are corresponding.

Sides OP and RS are corresponding.

Create the proportion to solve for x:

5/x = 6/30

Cross multiply:

6x = 150

Divide both sides by 6:

x = 25 mi

Hope this helps!

Answer:

D

Step-by-step explanation:

Here we want to select which of the options best define open end credit.

When we talk of open end credit, we are referring to a loan system in which the borrower of the loan can payback and consistently borrow the loan from the lender.

In this case, what we are saying is that the borrower can payback a certain amount and still get an amount of money from the balance of the loan.

In simple case, it is a system of borrowing and loan repayment simultaneously

Answer:

10k

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

distribute the 5 to the 2 and leave the k

Answer:

So the correct answer would be x=7

Answer:

4, 8, 30

Step-by-step explanation:

Let's call the first piece x. If the first piece is x, then the second piece is 2x and the third piece is 7x + 2.

Equation:

x + 2x + 7x + 2 = 42

10x + 2 = 42

10x = 40

x = 4

The First piece is 4 inches

Now all we do is substitute the x for 4. Therefore, the second piece is 8 inches and the third piece is 30.

Hope this helps!!!

Answer:

Yes, y=5x is proportional. Hope this helps!

A negative exponent means to move the decimal point to the left the number of the exponent.

10^-1 you would move the decimal 1 place to the left.

5.401 x 10^-1 = 0.5401

[tex]\huge\boxed{0.5401}[/tex]

We have the equation...

[tex]\boxed{5401*10^-^1=(?)}[/tex]

Multiply 5401 by 10⁻¹.

[tex]\boxed{5401*10^-^1=0.5401}[/tex]

Therefore, your final answer is [tex]\boxed{0.5401}[/tex]

Answer:

$120/x

Step-by-step explanation:

Answer:

120(1.1)^x

Step-by-step explanation:

it is a 10% increase, and think of it like this, what is after the decimal is the percentage increase, if there is a 1 the percentage increases, if it is a 0 then it decreases

Answer:

c

Step-by-step explanation:

the second question 65cent

Answer:

3

Step-by-step explanation:

Plug in -4 as x in the function:

f(x) = x² + 2x - 5

f(-4) = (-4)² + 2(-4) - 5

Simplify:

f(-4) = 16 - 8 - 5

f(-4) = 3

So, f(-4) = 3

Answer:

0.09(60h)

Step-by-step explanation:

The part that represents the tax is 0.09.

This is because, we can rewrite the sum as;

Amount of tax + Total cost for the number of hours

Now, the amount of tax can only be a percentage of the total

We can write 0.09 as 9/100

This can be interpreted as 9% of the total amount

So therefore we can rewrite the amount as;

9% of 60h + 60h

So the part that represents the amount of tax Deborah has to pay is 0.09(60h)

Answer:

(5x+4)=114(vertically opposite angle)

5x=114-4

x=110/5

x=22

(3x-24)+(2y)+144=180(sum of straight line angle)

(3X22-24)+(2y)=180-144

(66-24)+2y=36

42+2y=36

2y=36-42

y=(-6)/2

y=-3

Answer:

(x/-5) - 1

"The quotient of a number  x and - 5 " x/-5

"one less" means you will subtract  1 from it.

What is an algebraic expression?

an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.

Example of an algebraic expression

3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising the power, is also an algebraic expression

seven divided by twice a number 7 ÷ 2n or

three times a number decreased by 11 3n - 11

Answer:

y=-x-3

Step-by-step explanation:

Formula (point slope): y-y1=m(x-x1)

y-(-3)=-1(x-0)

(distribute the -1)

y+3=-1x+0

(combine like terms)

y=-1x-3

I think its (x,y-(-x,-y)

Answer:

18.27

Step-by-step explanation:

18.27

Answer: 18.28125

Step-by-step explanation:

Convert 37.5% to a decimal:

0.375

Multiply 48.72 by the decimal:

48.72(0.375)

18.28125

This can be rounded to 18.28 if you need.

Hope this helps!

Answer:

i do i am right noww lol

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

1 b = 2p

24 b = 48  p

award brainliest if this helped! :)

Answer:

I think the slope is unidentified.

Hope this Helps!

Answer:

f(x) = -2x + 5  Plato

Step-by-step explanation:

Answer: There are actually 3 answers for this ahaha, but this is the EXACT ONE: 21/16 in DECIMAL FORM it's 1.3125 in MIXED NUMBER FORM it's 1 5/16

Step-by-step explanation:

Answer:

$105.22

Step-by-step explanation:

Answer: The answer is A, (5x+6)(5x-6)

Step-by-step explanation: The negative and positive 6 will cancel out the regular X, meaning that 25x^2 and -36 are the only numbers left.

Answer:

$26

Step-by-step explanation:

Step one:

given data

cost of limo=$20

cost per mile= 12cent to dollar = $0.12

Step two:

let the total cost be y

and the number of mile be x

the model for the situation is

y=mx+c

Step three:

given x=50mile

y=0.12(50)+20

y=6+20

y=26

$26

Matthew will spend $26 to get to the hospital

Answer:  see below

Step-by-step explanation:

29) -5x ≥  30

    ÷ -5 ↓ ÷ -5

        x  ≤ -6

Graph:       ←--------- ·

                            -6

Interval Notation: (-∞, 6]

30) -4x <  -40

    ÷ -4 ↓ ÷ -4

        x  >   10

Graph:       o---------→

                10

Interval Notation: (10, ∞)

31) 2x - 5 ≥  -11

         +5    +5

     2x      ≥  -6

    ÷ 2       ÷ 2

        x   ≥   -3

Graph:       · ---------→

                -3

Interval Notation: [-3, ∞)

32) 8 - 3x > 20

    -8         -8

        -3x >  12

     ÷ -3  ↓ ÷ -3

          x  <  -4

Graph:       ←---------o

                            -4

Interval Notation: (-∞, -4)

33) 4x - 11 < 7x + 4

    -7x       -7x      

   -3x  - 11  <   4

          + 11   +11    

   -3x       <    15

 ÷ -3      ↓ ÷ -3

         x  >    -5

Graph:       o---------→

                  -5

Interval Notation: (-5, ∞)

Answer:

15

Step-by-step explanation:

Answer:  *A=15* is the answer

Step-by-step explanation:

Hope this helps!