Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?

Answers

Answer 1

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

time = 750 / 300

time = 2.5 years


Related Questions

Can you find the slope-intercept of the line? Thank you!

Answers

Answer:

y = x + 2

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 ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = x + 2 ← equation of line

which equation is tru when the value of x is 3.5?

a. 2x - 8= 11
b. 2-4x=11
c. 13 - 2x = 38.5
d. x/4 + 9 = 23

Answers

none of the equations are true they are all false when you plug in 3.5 for x

what is 4y = 3(x - 22) written in standard form
please help quick

Answers

Answer:

-3x+4y=- 66

Step-by-step explanation:

The first step is to multiply 3 by x and - 22. Should be 3x and -66

Now plug in the numbers.

4y = 3x - 66

Secondly, bring the 3x over to the left.

You get

-3x + 4y = -66

need some help just want to check if my answer is correct​

Answers

Step-by-step explanation:

side A+(8x+2)=x²+12x

side A=x²+12x-8x-2

side A=x²+4x-2

side B+(x-6)=2x²-4

side B=2x²-4-x+6

side B=2x²-x+2

Solve for x.
x/3+y=2x+19

Answers

Answer:

The answer is [attached photo].

Hope this helps and if you could mark this as brainliest. Thanks!

Answer:

(3+y)-19=x

Step-by-step explanation:

x/3+y=2x+19

=3+y=2x-x+19

(3+y)-19=x

Can yall plz help me answer this!!!

Answers

Answer:

k = 2.5

Step-by-step explanation:

So we start off with: 2.5(4k+2) = 12k

Let's first distribute.

10k + 5 = 12k

Now let's subtract 10k from both sides.

5 = 2k

Now let's divide both sides by 2.

2.5 = k

If Marie were to paint her living room alone, it would take 3 hours. Her sister Patricia could do the job in 6 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer: 2

Step-by-step explanation:

the rate Marie paints the room= 1/3

The rate her sister paints the room= 1/6

working together their combined rate is 1/3+1/6 =9/18

the time for then to work together= 9/18

= 2 hours.

Mikey is reading a 739-page book. Today he started reading on page 95; he had started reading last week. If he reads for x hours at 18 pages per hour, which equation represents how long it will take him to finish the book?

Answers

Answer:

= 35 hrs and 33 minutes

= 1 day and 11 hours and 33 minutes

Step-by-step explanation:

739 - 95 = 640

640 / 18 = x

x = 35.555555555 (you get what i mean)

35 hours and 33 minutes

Hope this helps

plzz mark brainlest

The medieval spice merchant wants to blend some
garlic powder, which costs 38 cents per pound,
with 7 pounds of ground pepper, which costs 44
cents per pound, to create a big batch of medieval
smelling salt worth exactly 40 cents per pound.
How many pounds of the garlic powder should he
use?

Answers

Answer: I think the answer is two pounds

Step-by-step explanation:

Answer:

2 pounds

hope it helps

brain?

Step-by-step explanation:

"Twelve less than two-thirds a number is 48"What is the number?

Answers

2/3x - 12 = 48
2/3x = 60
2x = 180
x = 90

Answer:

-54

Step-by-step explanation:

1.) 12-2/3x=48

2.) Multiple by 3 on both sides

36-2x=144

3.) Move the constant on the other side by subtracting it.

-2x=144-36

4.) Subtract numbers

-2x=108

5.) Divide both sides by -2

-2=108

÷2 ÷2

6,) Then you get x=-54

Classify the following polynomials. Combine any like terms first
2-x² + 4x+x²
x – 5x²+3-2
x²-x²+x²-x²+3
7x-x² + x³+4x²
-6x-x² + 6x-4x

Answers

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

To answer the question, we need to know what polynomials are

What are polynomials?

Polynomials are algebraic expressions that contains variables and coefficients.

a.

2 - x² + 4x + x² = 2 - x² + x² + 4x

= 2 - 0 + 4x

= 2 + 4x

Since it has two terms, it is a binomial

b.

x - 5x² + 3 - 2 = x - 5x² + 1

= - 5x² + x + 1

Since it has three terms, it is a trinomial

c.

x² - x² + x² - x² + 3 = 0 + 0 + 3

= 3.

Since this contains a single term, it is a monomial

d.

7x - x² + x³ + 4x² = x³ + 4x² - x² + 7x

= x³ + 3x² + 7x

Since it has three terms, it is a trinomial

e.

-6x - x² + 6x - 4x = -6x - x² + 2x

= - x² + 2x - 6x

= - x² - 4x

Since it has two terms, it is a binomial

a. It is a binomial

b. It is a trinomial

c. It is a monomial

d. It is a trinomial

e. It is a binomial

Learn more about polynomials here:

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There were 400 sweets in a pack. The principal of a school bought 25 such packs of sweets for 2000 children o Children's Day. If each child was given 7 sweets, how many more packs of sweets were needed?

Answers

Answer:

10 more packs

Step-by-step explanation:

400 sweets bought 25 such packs = 400*25=10000

2000 each one gets 7 = 2000*7=14000

14000-10000=4000

4000/400 is 10.

So 10 more packs.

Hit the crown :D

Answer:

Step-by-step explanation:

400 sweets in a pack * 25 packs = 10,000 sweets

2000 kids * 7 sweets = 14,000

We need 4,000 more sweets. That would be 10 packs more  since there are 400 sweets in a pack.

Keeping in mind that a function’s rate of change is a measure of how fast the function is increasing or decreasing, what does the slope of a linear function indicate?

Answers

Answer:

Required Answer:-

The function shows negative

Hi again I need a story that matches the equation -6 + 3x = 2 + 4x

Answers

Answer:

A.

Step-by-step explanation:

The required stories that are models of the given expression  -6 + 3x = 2 + 4x are given in A and B. Both options are correct.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Option A,

At 5 p.m., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes at the same constant rate, x degrees per hour, throughout the night at both locations. The temperature at the first station 3 hours after this recording is the same as the temperature at the second station 4 hours after this recording.

So from the above statement,
The equation modeled is given as
-6 + 3x = 2 + 4x

The above expression is equivalent to the given statement. So story mentioned in option A matches the given equation.

Similarly,
The equation formed in Option B also matches the given equation.

Thus, both options are correct.

Learn more about models here:

https://brainly.com/question/22591166

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these 2 questions ASAP!! BRAINLIEST & 30 points!!

Answers

Answer:

1.) 2/5

2.) -7/5

Step-by-step explanation:

Slope Formula: m = y2 - y1/x2 - x1

1.) 2/5

m = y2 - y1/x2 - x1

m = -1 - (-3)/0 - (-5)

m = -1 + 3/0 + 5

m = 2/5

2.) -7/5

(-2,3) and (3,-4)

m = y2 - y1/x2 - x1

m = -4 - 3/3 - (-2)

m = -4 - 3/3 + 2

m = -7/5

What are the slope and the y-intercept of the linear function that is represented by the table?

Answers

Step-by-step explanation:

I refuse to answer lol

EASY QUESTION
What is the greatest common factor of 18, 36, and 90?

Answers

18 will divide into both 36 and 90 , but so 18 is the GCF

Answer:

18

Step-by-step explanation:

help, stuck on the question

Answers

Answer:

the hash marks note that opposite sides are congruent.

the right angle notation implies that all angles are 90 degrees and are congruent as well

Answer:

All angles are congruent

Diagonals bisect each other

Diagonals bisect all angle

Opposites sides are congruent

Opposites sides are parallel

Enter the missing numbers in the table to show the proportional relationship:

Answers

165, 275, 8 sorry if im wrong


Need help please I’m begging yeah.

Answers

Answer: The answer is B.

Find the center and radius of the equation of the circle
a). x2 + y2 – 8x +6y + 9 = 0​

Answers

Compare the given equation with the general equation of a circle

Given equation: x² + y² - 8x +6y +9 = 0

Equation of a circle: x² + y² + 2gx + 2fy + c = 0

2g= -8; g = -8÷2= -4

2f = 6; f = 6÷2 = 3

c= 9

Solving for radius of the circle...

r =√g² + f² - c

g= -4, g² = ±16

f = 3, f² = 9

Substituting, we have

r = √16 + 9 - 9

r = √25-9

r=√16

r = 4

Therefore, the centre and radius of the circle is 9 and 4 respectively.

Hope this helped!

Please mark brainliest;-)

Need help badly........

Answers

Answer:

1.) f(x)= 6x^5+2x^3-3x+1

Degree: 5

Leading coefficient: 6

Leading term: −6x^5

2.) f(x)= 7x^4+2x^3-3x+1

Degree: 4

Leading coefficient: 7

Leading term: 7x^4

3.) f(x)= -5x^3+2x-1

Degree: 3

Leading coefficient: -5

Leading term: 5x^3

What is the product of StartFraction 4 Over 9 EndFraction and StartFraction 1 Over 11 EndFraction? StartFraction 4 Over 99 EndFraction StartFraction 5 Over 99 EndFraction StartFraction 9 Over 44 EndFraction One-fourth

Answers

Answer:

4/24

Step-by-step explanation:

Because 1/6 is 4/24 simplified.

To prove this, all you have to do is try simplifying 4/24 yourself. To do that, we are going to use 4 to divide both the numerator and the denominator because 4 is a common factor of 4 and 24.

(To simplify a fraction, you divide both the numerator and denominator by a common factor)

So 4 divided by 4 is 1, and 24 divided by 4 is 6

1/6

An EPA contractor needs to test the concentration of a substance in ten samples of the ground water. Seventy samples were


already collected from a single source over the course of a week at regular intervals. The contractor wants to test samples


evenly over the course of that time frame.

Answers

Answer:

Systematic sampling

Step-by-step explanation:

An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.

For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10

He will have to select ;  ( x / n )^th of the sampling frame for best results

y varies inversely as X. y=4 when x=2. Find y when x=16

Answers

Answer:

y = 32 (Verified Answer) ✅

Step-by-step explanation:

We will use a proportion to solve this.

[tex]\frac{2}{4} = \frac{16}{y}[/tex]

Now, we cross multiply.

2y = 16 x 4

2y = 64

Now, we must divide by 2 to get the correct value for y

y = 64/2

y = 32

Now, we can use the same proportion to check our answer.

2(32) = 16 x 4

64 = 64 ✅

9514 1404 393

Answer:

  y = 1/2

Step-by-step explanation:

The inverse relation means ...

  y = k/x

We can find k from ...

  xy = k = (2)(4) = 8

Then when x = 16, we have ...

  y = 8/x = 8/16 = 1/2

y is 1/2 when x = 16.

Annie wants to make several plates of apples and apricots, so that each plate has the same number of apples and the same number of apricots. At most, how many plates can she make, if she is going to use 8 apples and 20 apricots.

At most, 8 apples and apricots can be arranged at ___ plates, so that each plate contains ___ and ___ apricots.

Please help! I need help filling in the blanks.

Answers

6 , 9 , 69 to the decimal reception apricot

Answer:

At most, 8 apples and apricots can be arranged at 4 plates, so that each plate contains 2 apples and 5 apricots.

Step-by-step explanation:

they are asking for the GREATEST amount of plates, but there are less apples than apricots so we must find the GCF, which is 4. then you divide the amount of apples by 4 as well as the amount of apricots by 4.

hope this helped :D

please help me!!! :)

Answers

I would assume that the angle of f equals 50°... sincesince the triangles are similar that means that the angles are most likely equal to each other. since the big triangle you can do it 90 + 40 which equals 130 then 180, since that is the total degrees in a triangle, minus 130 equals 50 this means 50 ° is the angle of c. keep in mind angle c equals angle f.

8,228.8165 divided by 0.528=?
Round your answer to the nearest thousandth.

Answers

Answer:

15584.880

Step-by-step explanation:

8,228.8165 divided by 0.528

= 15584.8797348

= 15584.880 (rounded to the nearest thousandth)

(Remember to keep the thousandth digit, even if it's 0)

Hope this helped!

PLEASE HELP. BRAINLIEST.

Answers

Answer:

potter math 9 3/4

Step-by-step explanation:

malfoy

If pqrs is a parallelogram, find the measure of 113
5.67
18
67

Answers

Answer:

∠PSR = 113°

Step-by-step explanation:

Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.

7x-13+4x-5=180

        11x-18=180

            11x=198

               x=18

Now plug x back into the angle that opposite from the one you are looking for (they are equal)

7(18)-13 = ∠PSR

 126-13 = ∠PSR

       113 = ∠PSR

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