If an interest rate of 5% results in interest of $50,
what is the principal amount of the loan?

Answer:

Step-by-step explanation:

x-5(x-1) = x- (2x-3)​

x  + x *(-5) + (-1) * (-5) = x +  2x*(-1) + (-3)*(-1) {use distributive property}

x - 5x + 5 = x - 2x +3   {Combine like terms}

    -4x + 5 = - x +3           {Add 'x' to both sides}

-4x + 5 + x  = -x + x + 3

       -3x + 5 = 3           {subtract 5 from both sides}

            -3x = 3 - 5

            -3x = -2           {Divide both sides by (-3)}

              x = -2/-3

               x = 2/3

Answer:

the correct answer is the last one to the right side

Answer:

Equation :

f(x) = ³√x+2

See image.

I hope the image helps.

Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

Answer:

5m•5m•5m

Step-by-step explanation:

so you  multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3

5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

An expression is combination of variables, numbers and operators.

The given expression is (5m)³

We have to find the equivalent expression of (5m)³

Equivalent expressions are expressions that work the same even though they look different

(5m)³ can be written as 5m.5m.5m

The value of five cube is one hundred twenty five.

125m³

Hence, 5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

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Answer:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Step-by-step explanation:

The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:

Between

83 - 6.5 = 76.5

83 + 6.5 = 89.5

So:

The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

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Answer:

624

Step-by-step explanation:

I hope it helps i did the test  btw <3

Answer:

624

Step-by-step explanation:

I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

50 i think

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

Given,

In the second transversal 40° is correspondent to second parallel line in the pair so we get 40° here.

Then, at intersection we get 90°.

Now, by the problem,

180° -90° -40° = 50° [linear pair]

Hence, we got 50° at intersection of second line.

Now,

angle x = 50° (corresponding angles)

Answer:

x=5.6  y=4.8

Step-by-step explanation:

[tex]2 \sqrt{13} [/tex]

that is your answer

Answer: 360>5.5+36.41d

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Answer:

See Explanation

Step-by-step explanation:

Given

The given side lengths are not clear enough:

So, I will give a general explanation.

From the question, we understand WXYZ is dilated to produce W'X'Y'Z

This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'

i.e.

[tex]ZW *k =Z'W'[/tex]

Divide both sides by k to get side length ZW

[tex]ZW = \frac{Z'W'}{k}[/tex]

Assume that:

[tex]k = 4[/tex] and

[tex]Z'W' = 28[/tex]

[tex]ZW = \frac{Z'W'}{k}[/tex]

[tex]ZW = \frac{28}{4}[/tex]

[tex]ZW = 7[/tex]

Apply these steps and you will get your answer

Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40

Answer

there will be 6 on all three pages

Step-by-step explanation:

divide 18 by 3

Answer:

56

Step-by-step explanation:

Hope this helps

Answer:

56

Step-by-step explanation:

56×1=56

Answer:

First, we need to find the mean and median of the scores.

Mean:

86+72+92+62+99+93=504

There are 6 test scores, so:

504 ÷ 6 = 84

Median:

62, 72, 86, 92, 93, 99

86 + 92 = 172

172 ÷ 2 = 86

The answer would be:

Mean: 84

Median: 86

Answer:

I hope u can sleep more

Step-by-step explanation:

Answer:

ohhhhhhh

Step-by-step explanation:

yea that sucks but why can't you go to bed until 8-9?????

Answer:

Step-by-step explanation:

-4x <_ -8

x <_ -8 ÷-4

x <_ 2

Answer:

3x2+15x=18

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

A

I worked them out myself so if their wrong uh please don't get mad I tried my best.

Step-by-step explanation:

3x (2) + 15x = 18                               3x (2) + 15x = 18

6x + 15x = 18                                     6x + 15x = 18  

-6x + -6x = 18                                            -18     -18

--------------------------                             ------------------------

0 + 9x = 18                                            6x + -3 = 0

   ------  -------                                         -3 +  -3

      18  18                                           --------------------

          x = 2                                              -3 + 0

                                                                    X = -3

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625

Answer:

follow me please and give thanks

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

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