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Answer:

$475.17

Step-by-step explanation:

Step one:

given data

rate= 3.5% = 0.035

final amount A= $670

time= 10 years

Required

The principal invest P

Step two:

A= P(1+r)^t

substitute

[tex]670=P(1+0.035)^1^0\\\\670=P(1.035)^1^0\\\\670=P*1.41[/tex]

divide by 1.41

[tex]P= 670/1.41\\\\P=475.17[/tex]

The invested principal is $475.17

Answer:

500

Step-by-step explanation:

its on delta math

Answer:

Rhombu is the answer

Answeris rhombus

Answer:

50 employees

Step-by-step explanation:

The total number of employees the business has will have to be made up the full-time employees and part-time employees.

The number of full-time employees = 15

Let the total number of  employees = x

[tex]15 = 30 percent of x[/tex]

[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]

The company has a total of 50 employees

Answer:

B

Step-by-step explanation:

I hope this helps!

Answer:

The correct answer is B!

Step-by-step explanation:

Slopes of Parallel and Perpendicular Lines Pre-Test Answers:

1: B                    8: B

2: A, C, G          9: 1

3: C                  10: B

4: A           Hope this helps!

5: B

6: C

7: B

Answer:

EXACT ANSWER: 6.666666666667

ANSWER ROUNDED: 7

Step-by-step explanation:

lol, I can't explain well, but it's correct.

Answer:

y = (4/3)x − 10

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.

y = mx + b

Subtract 4x from both sides of the equation.

−3y = 8 − 4x

Divide each term by −3 and simplify.

Divide each term in −3y = 8 − 4x by −3.

        (−3y/−3)= (8/−3) + (−4x/−3)

Cancel the common factor of −3.

         y= (8/−3) + (−4x/−3)

Simplify (8/−3) + (−4x/−3)

         y= (4x/3 - 8/3)

Reorder terms.

         y= 4x/3 - 8/3

Using the slope-intercept form, the slope is 4/3

         m = 4/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 4/3 and a given point (6, −2) to substitute for  [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

y − (−2) = (4/3) ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

y − (−2) = (4/3) ⋅ (x − (6))

solve for y

y = (4/3)x − 10

Answer:it is -1

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

As per the question, we have

f(x)=7x

at x=0.75

f(0.75)=&(0.75)

f(0.75) = 7 x 75/100 (this is a fraction)

f(0.75)= 525/100 (this is a fraction)

f(0.75)=5.25

Hence, the value of f(x)=7x at x=0.75 is 5.25

Answer:

Percent

Step-by-step explanation:

lol I just got it right

See attachment for math work.

Answer:

Step-by-step explanation:

– 634302

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Answer:

a= 4/3

Step-by-step explanation:

1.) Simplify both sides of the given equation:

1/4a + -5/6 = -1/2

2.) Add the 5/6 to both sides (cancels the -5/6)

1/4a + -5/6 (+5/6) = -1/2 (+5/6)

1/4a = 1/3

3.) Multiply both sides by 4 (the denominator)

4 * 1/4a = 1/3 * 4

a = 4/3

To check the solution, plug in 4/3 into a:

4/3/4 - 5/6 = -1/2

2.) Dividing fractions is also multiplication:

(4/3 * 1/4) - 5/6 = -1/2

3.) Get the difference of 1/3 and 5/6

1/3 - 5/6 = -1/2

4.) Simplify -3/6 (3 goes into 3 ONCE and into 6 TWO times)

-3/6 = -1/2

5.) Check to see if both sides match

-1/2 = -1/2

Answer:

first year $20 second year $20.80 Third year $21.63

Step-by-step explanation: This is for an extra money per year so after the first year that is how much extra money he gets every year.

Answer:

Slope =  - 1

Step-by-step explanation:

(x₁ , y₁) = (7,4)   & (x₂, y₂) = (5, 6)

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

         [tex]= \frac{6-4}{5-7}\\\\= \frac{2}{-2}\\\\= - 1[/tex]

Answer:

b

Step-by-step explanation:

Answer:

the answer is 7.25

Step-by-step explanation:

Hope this helps :)

Answer:9+3x=12x

Step-by-step explanation: first you do 9+3 then that would equal 12 and y=12 so then after that you do 12x bc you didnt use the 9+3 with x so you add the x with the 12 and that makes it 12x

The value of the number for the expression seven is less than the quotient of a number and five is two​ is 45.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a number is seven less than the quotient of a number and five is two​.

The value of the unknown number will be calculated as,

x/5 - 7 = 2

x/5 = 9

x = 45

To know more about an expression follow

https://brainly.com/question/2272420

#SPJ2

Answer:

16.7 percent decrease.

Step-by-step explanation:

Difference in value = 150,000 - 180,000

= -30,000

As a percent this  =  (-30,000 /  180,000)   * 100

= -0.1667 * 100

= -16.67

Answer:

15.5 repating or 18.4%

Step-by-step explanation:

SORRY

44%

I hope this helped!!!

Answer:

ummmmmmmmm 44?

Step-by-step explanation:

Answer:4 1/2  Teaspoons  of vanilla will be left in the bottle

Step-by-step explanation:

Step 1

Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla

Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons

= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.

Step 2

If a bottle of vanilla contains = 12 teaspoons of vanilla

After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla

Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2

Therefore 4 1/2  Teaspoons  of vanilla will be left in the bottle

Answer:

1.86666666667

Step-by-step explanation:

Answer:

1 13/15

Step-by-step explanation:

Answer:

I'm assuming you need to distribute. When simplified the expression is 42p-28

Step-by-step explanation:

Answer:

24p-28

Step-by-step explanation:

Answer:

You can use a^2+b^2=c^2;

Step-by-step explanation:

42^2+78^2=(6x-1+10x+5)^2

Answer:

3.5

Step-by-step explanation:

Triangles always equal to 180

42 + 78 + 16x + 4 = 180

124 + 16x = 180

56 = 16x

3.5 = x

Answer:

65°

Step-by-step explanation:

The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°

Answer:

a

Step-by-step explanation:

Answer:

8x - 1

Step-by-step explanation:

Combine like terms. 3x and 5x are like terms.

3x + 5x -1 = 8x - 1

Answer:

.

Step-by-step explanation:

                            .

Answer:[tex]x<−95+3y5[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: 13800 frequent-flier miles

Step-by-step explanation:

From the question, we are informed that Rachael receives 4,300 frequent-flier miles for her first round trip and 1,900 frequent-flier miles for each additional round-trip.

The number of frequent-flier miles she will she have after 5 round-trips will be:

= 4300 + 1900(5)

= 4300 + 9500

= 13800 frequent-flier miles