Cathy deposited $100 in an account that has a simple interest rate of 3.4%. How much interest will she earn after 2 years?

Answer:

[tex]7\frac{1}{2}[/tex] square feet

Step-by-step explanation:

2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet

Answer:

the rug should be 10 feet by 16 feet

this makes the area 160 foot squared

Step-by-step explanation:

there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.

160

top correct lolssssss

The answer is,

[tex]x > - 7[/tex]

hope it helps.

Answer:

x>-7

Step-by-step explanation:

4x-2x>-8-6

-2x>-14

x>-7

Answer:

269gallons

Step-by-step explanation:

115/6=19.16

19.16*14=268.33 or round up to 269

Answer:

explanation below

Step-by-step explanation:

f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)

f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5

There are points to be referenced for the graph:

vertex (2 , 13.5)     axis of symmetry: x = 2

roots: (-1 , 0) (5 , 0)

-3/2 : curve downward

Answer:

the line crosses the y-axis below the origin

Step-by-step explanation:

Answer: Subtract the equations in system A.

=============================================================

Explanation:

The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.

There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.

For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y

So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.

Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.

Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.

Answer:

[tex]1\ Lt = \pounds 1.157[/tex]

Step-by-step explanation:

Given

[tex]\pounds 1 = 0.864\ Lt[/tex]

Required

Determine the worth of 1 Lt

[tex]\pounds 1 = 0.864\ Lt[/tex]

Divide both sides by 0.864

[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]

[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]

[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]

[tex]1\ Lt = \pounds 1.157[/tex] --  approximated

Answer:

$379.24

Step-by-step explanation:

263.72+24.85+131.63+58.29=478.49

478.49-74.25-25=379.24

Hope this helped :)

Plz mark as Brainliest :)

Answer:

Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15

Step-by-step explanation:

The complete table:

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of bacteria samples analyze each day = 15

The equation for the number of bacteria analyzes after x days.

B = 15x

Now,

x = 1, B = 15

x = 2, B = 30

x = 3, B = 45

x = 4, B = 60

x = 5, B = 75

Thus,

Days                  1    2     3    4     5

Total samples  15  30  45  60   75

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

simple just follow me and mark it brainliest

Step-by-step explanation:

LET THE THREE CONSECUTIVE EVEN INTEGERS BE

(x+2) ,(x+4) ,(x+6)

then

according to the question

4(x+2) – (x+6) = 2(x+4) + 6

4x + 8 – x – 6= 2x + 8+6

3x +2 = 2x + 14

3x – 2x= 14 –2

x= 12

the numbers are

14

16

18

Answer:

The three numbers are 14, 16, 18.

Step-by-step explanation:

Consecutive even integers differ by 2.

You can let the smallest of the three numbers equal x. Then the other two numbers are x + 2 and x + 4.

Now use x, x + 2,and x + 4 to represent the 3 numbers and follow the directions to write an equation. The equation will have only one variable, x, so you can solve for x.

"four times the first" ----->   4x

"minus the third"   ------->    -(x + 4)

"is"  ----->     =

"six more than twice the second"   ------>    2(x + 2) + 6

Put all the pieces in boldface together to arrive at your equation.

4x - (x + 4) = 2(x + 2) + 6

Simplify the parentheses on both sides by distributing.

4x - x - 4 = 2x + 4 + 6

Combine like terms on both sides.

3x - 4 = 2x + 10

Subtract 2x from both sides.

x - 4 = 10

Add 4 to both sides.

x = 14

The smallest number is 14.

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

Answer: The three numbers are 14, 16, 18.

Answer:)

Step-by-step explanation:

Answer:

a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.

Answer:

34 degrees

Step-by-step explanation:

Answer:

[tex]d(n) = - ( {7}^{n - 1} )[/tex]

Answer:

The value of x is 3.

Step-by-step explanation:

The steps are :

4.5 = 1.5x

4.5 ÷ 1.5 = 1.5x ÷ 1.5

3 = x

This question is incomplete, the complete question is;

Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.

The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A

Answer:

the minimum score needed to receive a grade of A is 88.51

Step-by-step explanation:

Given the data in the question;

Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.

so, The professor has informed the class that 7.93 percent of her students received grades of A

the minimum score needed to receive a grade of A will be:

P( X > x ) = 7.93 %

P( X > x ) = 0.0793

1  - P( X ≤ x ) = 0.0793

- P( X ≤ x ) = 0.0793 - 1

- P( X ≤ x ) = - 0.9207

P( X ≤ x ) = 0.9207

⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207

so, x-μ/σ = InvNormal( 0.9207 )  

x-μ/σ = 1.41

(x - 73) / 11 = 1.41

(x - 73) = 1.41 × 11

(x - 73)  = 15.51

x = 15.51 + 73

x = 88.51

Therefore, the minimum score needed to receive a grade of A is 88.51

Answer:

You will pay $1.08 for a item with original price of $1.35 when discounted 20%

Step-by-step explanation:

Answer: x - 7/3

Step-by-step explanation:

I think thats the farthest you can go with this problem

Answer:

Let's simplify step-by-step.

3x−7^3

=3x−343

Step-by-step explanation:

Answer:

y = 3 cm and x = 2.5 cm

Step-by-step explanation:

As we can see it is a parallelogram so

y = 3 cm (being opposite sides of parallelogram)

Now while calculating the diagonal we can use the Pythagoras relation. i.e

perpendicular (p) = 4 cm (IH)

Base (b) = 3 cm (FI)

Hypotenuse (h) = FH = ?

We know by using Pythagoras theorem

h = √ p² + b²

= √ 4² + 3²

= √ 25

= 5 cm

Here we got FH = 5 cm

so the value of x will be 2.5 cm as the diagonal bisects.

Hope it will help :)

Answer:21

Step-by-step explanation:

Answer:

520 - 10x = 380

Step-by-step explanation:

x= 14

Answer:

520-10x=380

x = 14

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

10-8

Answer:

Step-by-step explanation:

2

Answer:

A+S=22

A=S/2+4

Multiply second equation by 2 and rearrange.

2A-S=8

Add equations 1 and 3.

3A=30

A=10

Substitute for A in either of the first 2 equations to get

S=12

Step-by-step explanation:

Answer:

7:04 p.m.

Step-by-step explanation:

Answer:

7:04

Step-by-step explanation

12-8 + 4

5:52 + 0:08 = 6:00

6:00 + 1:00 + 7:00

7:00 + 0.04 = 7:04

Answer:

Equation: y = 2x

Graph: see attachment

Step-by-step explanation:

Pieces of paper = x

Number of Valentines = y

The equation is a proportional equation and can be represented as y = kx

k is the constant of proportionality

k = y/x

Using (2, 4),

k = 4/2 = 2

To find the equation, substitute k = 2 into y = kx

Thus:

y = 2x

The graph has been plotted and attached below.

Answer:

number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. a) Find b and c b)

Step-by-step explanation:

Answer:

What question are you referring to? a question references question 5 and 6 which aren't displayed.