Money is borrowed at ​8% simple interest. After one​ year, ​999.00$ pays off the loan. How much was originally​ borrowed?

Answer:

[tex]\Huge \boxed{1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]8^0[/tex]

Applying exponent rule : [tex]x^0 =1[/tex]

[tex]8 ^0 \Longrightarrow 1[/tex]

[tex]\rule[225]{225}{2}[/tex]

I think it is done like this but I am not sure.

Simplifying

9 + -4(2x + -1) = 45

Reorder the terms:

9 + -4(-1 + 2x) = 45

9 + (-1 * -4 + 2x * -4) = 45

9 + (4 + -8x) = 45

Combine like terms: 9 + 4 = 13

13 + -8x = 45

Solving

13 + -8x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8x = 45 + -13

Combine like terms: 13 + -13 = 0

0 + -8x = 45 + -13

-8x = 45 + -13

Combine like terms: 45 + -13 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

We have,

Distribute the -4 to the terms inside the parentheses:

9 - 4(2x - 1) = 45

9 - 8x + 4 = 45

Combine like terms:

13 - 8x = 45

Move the constant term to the other side of the equation by subtracting 13 from both sides:

13 - 8x - 13 = 45 - 13

-8x = 32

Divide both sides of the equation by -8 to isolate the variable:

(-8x) / (-8) = 32 / (-8)

x = -4

Therefore,

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

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i dont konw what the dash is so im going to do both, the one where its a fraction and just division. The first one will be as regular divison.

1- It will equal .25

2-it would equal 3.3

I have no idea which one you need or which one will help but hopefully one of these will be helpful.

Answer:

push the x on the top left corner of the tab

Step-by-step explanation:

Answer:

$0.80/oz

Step-by-step explanation:

$4 for 5 ounces

unit cost = price/weight = $4/(5 oz.) = $0.80/oz

Answer:

$00.80 and 1.15 ounces

Step-by-step explanation:

khan said so hope this helps

Answer:

.5,2.5,1.5,3.0

Step-by-step explanation:

Answer:

.5,2.5,1.5,3.0

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

108 x 4 +18

Answer:

7/22

Step-by-step explanation:

Answer:

it will be B took the test

Step-by-step explanation:

Answer:

4x^2 + 3.

Step-by-step explanation:

f o g(x) = f(4x^2 + 4)

= (4x^2 + 4) - 1

= 4x^2 + 3.

Steps to solve:

3 - 4y = 19

~Subtract 3 to both sides

-4y = 16

~Divide -4 to both sides

y = -4

Best of Luck!

Answer:

congruent angles : are all corresponding angles, exterior and interior alternative angles

congruent to ABE :angles  GBC, BCF,HCD

angles FCD and HCD are supplementary angles=180

FCD+HCD=180

Answer:

4372 people would have been sick over time.

Step-by-step explanation:

Since the vaccine would be found in a week, then the over time is a week (7 days). Each day, a sick person infects two additional people.

Number of people infected by Velma can be predicted as follows:

Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458

Number of people infected by Velma = 1458 + 486 + 162 + 54 + 18 + 6 + 2

                                                       = 2186

Also, number of people infected by Stanley can be predicted as follows:

Day 1 - 2, Day 2 - 6, Day 3 - 18, Day 4 - 54, Day 5 - 162, Day 6 - 486, Day 7 - 1458

Number of people infected by Stanley = 1458 + 486 + 162 + 54 + 18 + 6 + 2

                                                       = 2186

Total number of people than can be infected over time = 2186 + 2186

                                                      = 4372

Therefore, the predictable number of infected people over time would be 4372. All citizens of Parsnipville would have been infected before the vaccine is available.

Answer:

Step-by-step explanation:

ASSUMING that only 4 new people get sick a day then we would have the equation 4x+2

Answer:

Step-by-step explanation:

c

=

0.6

d

+

1.2

Explanation:

The

3

mile cab ride includes a basic charge as well as the cost for the distance covered.

For a

6

mile trip, the cost is

$

4.80

which means that :

The cost of

3

miles is

$

4.80

−

$

3.00

=

$

1.80

Therefore the cost for

1

mile is

$

1.80

÷

3

=

$

0.60

The basic fee for hiring the cab is  

$

3.00

−

$

1.80

=

$

1.20

So the total cost,

c

for a trip of

d

miles will be:

c

=

0.6

d

+

1.2

Answer:

-20 feet

Step-by-step explanation:

If the fish are closser to the suface it will be closer to 0 on the number line.

A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.

Given that,
A fish finder is an instrument on a boat that indicates where fish are located. The range of the fishfinder is to be specified.

Range, it is the set of the values that come out to an outcome for certain mathematical operations.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
The range usual range of the fishfinder is standardly 0 to -20 on the number line of the instrument, where the negative sign indicates the depth.

Thus, A fish finder is an instrument on a boat that indicates that fish are located in a radius of -20 to 0.

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Answer:

AC=-160

BC is the midpoint of AC meaning half of AC

-160/2=-80

Answer:

Step-by-step explanation:

1. 12a = 4

    12a/12 = 4/12

    a = 1/3

2.  2c = 7(8/7)

    2c = 8

     c = 4

3. 5h = 6(-3/8)

    5h = -18/8

    5h = -9/4

    20h = -9

      h = -9/20

4. -27m = -4

    m = 4/27

5. -42p = 21

    p = -21/24 = -1/2

6. -7x = 4/7

    x = -4

7. 9n = -40/9

  n = -40

8. 15g = -24

  g = -24/15 = -8/5

9. 4s = 56

   s = 14

10 -5t = -9(2/3)

     -5t = -6

    t = 6/5    

Answer:

Step-by-step explanation:

X=5.25

Answer:

C) The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The answer is C on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Answer:

99

Step-by-step explanation:

11 and 9 are the smallest dimensions. Multiply them and you get 99.

Answer: 2(2x + 3)(x - 6)

Step-by-step explanation: For any factoring problem you do, your first

task will be to determine if a GCF exists for the original polynomial.

If a GCF does exist, it must be factored out as the first step to the problem.

In the problem you see here, the 3 terms in

the original polynomial have a GCF of 2.

So a 2 must be factored out as your first step.

This leaves you with 2(2x² - 9x - 18).

This does not make your life a whole lot easier however

because you still have a coefficient on the x squared term.

Factoring from here, you get 2(2x + 3)(x - 6).

Answer:

2(x - 6)(2x + 3)

Step-by-step explanation:

There are a few steps to factoring depending on the polynomial.

Step 1. Factor our a common factor if possible.

Every term is divisible by 2, so factor out a 2.

4x^2 - 18x - 36 =

= 2(2x^2 - 9x - 18)

Step 2. We need to factor the quadratic trinomial.

Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.

Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.

We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.

We can try guessing, but instead, I will use the "ac" method.

Step A. Multiply coefficients ac:

ac = 2(-18) = -36

Step B. Now we need two numbers that add to b and multiply to ac.

We need two numbers that add to -9 and multiply to -36.

The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.

We now break up the middle term, -9x, using these two numbers.

= 2(2x^2 - 12x + 3x - 18)

Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.

= 2[2x(x - 6) + 3(x - 6)]

x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.

= 2[(x - 6)(2x + 3)]

= 2(x - 6)(2x + 3)

Answer:

48

Step-by-step explanation:

(3+5)6

(8)6

48

Answer:

48

Step-by-step explanation:

since three+five is in parentheses you do that first which equals eight then eight times six equals forty-eight and that is your Answer

Answer:

−5<c<1

Step-by-step explanation:

Let's solve your inequality step-by-step.

7<12+c<13

7<c+12<13(Simplify all parts of the inequality)

7+−12<c+12+−12<13+−12(Add -12 to all parts)

−5<c<1

Answer:

c∈[-5,1]

Step-by-step explanation:

12+c>7

12+c<13

c>-5

c<1

Answer:

N$  612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$  612.5.

Answer:

x = 2/3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask

If you find this answer helpful, mark it Brainleast ;)

Answer:

80%

Step-by-step explanation:

Answer:

Total cost = ($8.50b) + ($3.99d)

Step-by-step explanation:

In a bakery, the cost of a dozen bagels = $8.50

and the cost of a dozen donuts = $3.99

1 Dozen = 12 pieces

Let 'b' represents the number of bagels (in dozen) and d represents dozen donuts.

The expression that represents total cost of b dozen bagels and d dozen donuts would be :

Total cost = ($8.50b) + ($3.99d)

Answer:

Step-by-step explanation:

3. [tex]\frac{3}{16}=\frac{x}{12}[/tex]

   36 = 16x

   9 = 4x

   x = [tex]\frac{9}{4}[/tex]

4. [tex]\frac{x}{120}=\frac{1}{24}[/tex]

   x = [tex]\frac{120}{24}[/tex]

   x = 5

5. [tex]\frac{a-2}{9}=\frac{2}{3}[/tex]

   3a - 6 = 18

   3a = 24

   a = 8

6. [tex]\frac{b+4}{5}=\frac{7}{4}[/tex]

  4b + 16 = 35

  4b = 19

   b = [tex]\frac{19}{4}[/tex]

7. [tex]\frac{3}{7}=\frac{c+4}{35}[/tex]

  105 = 7c + 28

  7c = 105 - 28

   7c = 77

   c = 11

8. [tex]\frac{2c}{11}=\frac{c-3}{4}[/tex]

   8c = 11c - 33

   11c - 8c = 33

    3c = 33

    c = 11

9. [tex]\frac{7}{k-2}=\frac{5}{8}[/tex]

   56 = 5k - 10

   5k = 66

    k = [tex]\frac{66}{5}[/tex]

12. [tex]\frac{c+1}{c-2}=\frac{4}{7}[/tex]

    7c + 7 = 4c - 8

    7c - 4c = -15

    3c = -15

    c = -5

13. [tex]\frac{v}{4}= \frac{7}{8}[/tex]

    v = [tex]\frac{7}{2}[/tex]

14. [tex]\frac{9}{14}=\frac{3}{n}[/tex]

    9n = 42

    n = [tex]\frac{42}{9}[/tex]

    n = [tex]\frac{14}{3}[/tex]

15. [tex]\frac{b+13}{2}=\frac{-5b}{3}[/tex]

   3b +39 = -10b

   13b = -39

    b = -3

16. [tex]\frac{3b}{b-4}=\frac{3}{7}[/tex]

    21b = 3b - 12

    21b - 3b = -12

    18b = -12

    b = -[tex]\frac{12}{18}[/tex]

    b = [tex]-\frac{2}{3}[/tex]

17. [tex]\frac{x+2}{2x-6}=\frac{3}{8}[/tex]

   8x + 16 = 6x - 18

   8x - 6x = -18 - 16

   2x = -34

    x = -17

Answer:

B, C

Step-by-step explanation:

Amy should have flip the numerator and the denominator of the second fraction before multiplying. She also used addition instead of multiplication for the numerators.

Answer:

B C

Step-by-step explanation: