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

What is the answer to this
2(x-5)-6=-18

x=___

Answers

Answer:

x= -1

Step-by-step explanation:

Distribute:

2(x -5) -6 = -18

2x -10 -6 =-18

Subtract the numbers:

2x -10 -6 =-18

2x -16 = -18

Add 16 to both sides of the equation:

2x =16 += -18

2x -16 +16 = -18 +16

Simplify:

2x = -2

Divide both sides of the equation by the same term:

2x/2 = -2/2

Simplify:

x=-1

Answer:

x = -1

Find two integers whose sum is 19 and product is 90​

Answers

Answer:

Step-by-step explanation:

The two integers are 10 and 9

10 + 9 = 19

10 x 9 = 90

The two numbers are 9 and 10.

What are integers?

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero

Let the two integers be x and y.

Given that, the sum of the integers is 19, therefore,

x + y = 19

x = 19 - y

Given that, the product of the integer is 90:

xy = 90

(19-y)y = 90

19y - y² = 90

y² -19y + 90 =0

y² -10y - 9y + 90 = 0

y(y - 10) -9(y - 10) = 0

(y -9)(y - 10) = 0

y = 9 and y = 10

Hence, the two numbers are 9 and 10.

Learn more about integers:

https://brainly.com/question/15276410

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simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Answers

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

What is the slope of a line with the equation y = 5x + ⅖ ?

Answers

Answer:

The slope would be 5

Step-by-step explanation:

The reason why it would be five is because the slope formula is y=mx+b with m being your slope and b being your y-intercept.

Answer:

slope: 5

Step-by-step explanation:

[tex]y=mx+b[/tex] is the equation used to find the slope of an equation. The slope is ALWAYS the "m" value. So.... in this equation y=5+2/5... the "m" value is 5.... making the slope of the equation 5.

5x +9–3(x-1)=(3x –13)+(4x -30)
Help please

Answers

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

Distribute 3:                              5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms:                 2x + 12 = 7x - 43Subtract 2x on both sides:      12 = 5x - 43Add 43 on both sides:             55 = 5xDivide 5 on both sides:            11 = xRewrite:                                     x = 11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply:                               55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract:                              55 + 9 - 3(10) = 20 + 14Multiply:                               55 + 9 - 30 = 20 + 14Add:                                     64 - 30 = 34Subtract:                              34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

Answer:

x=11

Step-by-step explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!

-3\10d= -4\5 this is just so i can get answer ggggggggggggggggggg

Answers

Answer:

d = 8/3

Step-by-step explanation:

2x+3y = 17
2y + z = 1
5x +10z = 25

Find x

Answers

Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].

The equation [tex]5x+10z = 25[/tex] can then be turned into:

[tex]5x+10(1-2y) = 25[/tex]

[tex]5x+10-20y = 25[/tex]

[tex]5x -20y = 15[/tex]

[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)

We can now use elimination to solve for one of the variable:

[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)

[tex]2x-8y=6[/tex]

[tex]2x+3y-(2x-8y) = 17-6[/tex]

[tex]11y = 11[/tex]

[tex]y = 1[/tex]

Now, we can use substitution to solve for [tex]x[/tex]:

[tex]2x+3y = 17[/tex]

[tex]2x+3 = 17[/tex]

[tex]x = 7[/tex]

Hope this helps :)

Thomas observed that his friend blinked an average of three times every 15 seconds.
How many times should his friend blink in 65 second?

Answers

Answer:

13 blinks

Step-by-step explanation:

Step one:

given

number of blinks= 3

time taken to blink=15 seconds

the rate of blink is given as

rate= number of blinks/time taken

rate= 3/15

rate= 1/5 blinks per second, 0.2 blinks per second

Step two:

hence for a 65 second period, the number of blinks is

rate=number of blink/time

0.2=number of blink/9=65

cross multiply we have

number of blink=0.2*65

number of blink=13 blinks

The length of a rectangle is represented by 4 + 6x. The width is half the length. What expression represents the perimeter of the rectangle? Explain your reasoning​

Answers

Answer:

12+18x is the perimeter

Step-by-step explanation:

4+6x+4+6x+1/2(4+6x)+1/2(4+6x)=

3(4+6x)=

12+18x

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.

Answers

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

what are the three products of celullar respiration

Answers

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Find the slope of the line that contains (1, 6) and (10.-9).

Answers

Answer:

-5/3

Step-by-step explanation:

m=−9−6/10−1

m=−15/9

Slope=

−15/9=−5/3

4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?​

Answers

Answer:

9 t-shirts

Step-by-step explanation:

divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

Which set of number is only made up of integers?
Negative 2 and StartFraction 4 Over 7 EndFraction, 0, Two-thirds, 4.6, 24
–7.6, 0, 4.ModifyingAbove 2 with bar, 16, 56
–33.3, –24, 1, 2 , 3
–23, –7, 5, 9, 190

Answers

Answer:

It is D (-23, -7, 5, 9, 190)

Step-by-step explanation:

:)

help im being timed what is the perimeter of this triangle?!

Answers

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

To find the PERIMETER of a triangle, add the length of its sides.EXAMPLE ⇒ If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. NOTE: The P stands for PERIMETERHope this helpsGod bless


1. The sum of a number and ten.

Answers

Answer: X+10

X+10
Explanation:
Break down the information given to you to try and identify what the algebraic expression must looks like. You know that you're dealing with
a sum

this means that you are adding something, so you're going to use the
+
sign;

of a number

this means that you're dealing with a variable. The most common notation for a variable is
x
.

and 10

this is simply an integer that must appear in the algebraic expression along the variable
x
.

So, put all this together to get
x
+
10
You're adding an unknown number,
x
, to an integer,
10

Answer:

x+10

Step-by-step explanation:

sum = addition (+)

number = variable because we don't know what the number is yet (x)

ten=ten

So by this we can get x+10

In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?

Answers

Yellow: 24
Orange: 20
Red: 16

Explanation:

6 + 5 + 4 = 15

60 / 15 = 4

Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeans

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

Find out more at https://brainly.com/question/14493658.

have u ever seen 2 pretty besfrens??

Answers

Nope I have not!!!!!!!!!!!!!!!

yea once

they ain't friends no more

bc I stole one

and now there ain't 2 pretty best frens no more

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.

Answers

Answer: $4,000

Step-by-step explanation:

If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.

Hope this answer helps! :)

a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form

Answers

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

A number x is greater than 3.

Answers

Answer:

4,5,6,7,8,9..........................

Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

7. What is the mass of 20.6cm3 of iron if iron
has a density of 7.87g/cm3?
A. 162.1 g/cm3
B. 162.1 cm3
C. 162.1 g/mL
D. 162.1 g

Answers

Answer:

Option B

Step-by-step explanation:

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Bill has a large collection of paperback books. He decided to donate 1/3 of them to his local library. If he had 126 to start with, how many does he have left?

Answers

Answer:

42

Step-by-step explanation:

Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?

Answers

39.95+.10x=y
X being the text messages and y the amount paid

This equation has one solution.
3(x-2) + 4x = 10(x + 1)
What is the solution?
O-5
O-2
-16
3
-16
7
Intro

Answers

This is what I got hope it helps

What is the slope of 3x-2y=7?

Answers

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Michael and Imani go out to eat for lunch. Part A If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

25.30*8% tax = 2.02 tax

total 25.30+2.02= $27.32

Answer:

$27.32

Step-by-step explanation:

Multiply $25.30 by 0.08 (8% is equal to 0.08)

2.024

Add 2.024 to $25.30

That would be 27.324

Round to the nearest hundredth

$27.32

Hope this helps :)

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