Brett Olson borrow $6000 for three years at 7% add on rate. What is the financial charge? What is the APR?

Answer:

-66

Step-by-step explanation:

There will be $66 left after the $12 spent on lunch. 66 + -66 = 0

The number could be -66 combined with the amount left in the account to make zero.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Student has $78 in his checking account

Student spends $12 on lunch

Let, the number is x

78 + x - 12 = 0

x = - 66

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Given :

Area of rectangle.

To Find :

The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.

Solution :

Let, the dimensions of rectangle is x and y.

Area, A = xy.

x = A/y.              ....1)

Perimeter, P = 2( x + y )

Putting value of x in above equation, we get :

\(P = 2( y + \dfrac{A}{y})\)

For minimum P,

\(\dfrac{dP}{dx}=2( 1 - \dfrac{A}{x^2})=0\\\\A = x^2\)

SO, it is a square.

\(x=\sqrt{A}\\\\x=\sqrt{1728\ m^2}\\\\x=24\sqrt{3}\ m\)

Therefore, the dimensions are \((24\sqrt{3},24\sqrt{3})\).24\sqrt{3}

Hence, this is the required solution.

The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are 41.6, 41.6

The area is given as:

\(\mathbf{A = 1728}\)

Let the dimension be x and y.

So, we have:

\(\mathbf{A = xy = 1728}\)

Make x the subject

\(\mathbf{x = \frac{1728}{y}}\)

The perimeter is calculated as:

\(\mathbf{P = 2(x + y)}\)

Substitute \(\mathbf{x = \frac{1728}{y}}\)

\(\mathbf{P = 2(\frac{1728}{y} + y)}\)

Expand

\(\mathbf{P = \frac{3456}{y} + 2y}\)

Differentiate

\(\mathbf{P' = -\frac{3456}{y^2} + 2}\)

Set to 0

\(\mathbf{ -\frac{3456}{y^2} + 2 = 0}\)

Rewrite as:

\(\mathbf{ -\frac{3456}{y^2} = -2}\)

Divide both sides by -1

\(\mathbf{\frac{3456}{y^2} = 2}\)

Multiply y^2

\(\mathbf{3456= 2y^2}\)

Divide by 2

\(\mathbf{1728= y^2}\)

Take square roots of both sides

\(\mathbf{y = \sqrt{1728}}\)

\(\mathbf{y = 41.6}\)

Substitute \(\mathbf{y = \sqrt{1728}}\) in \(\mathbf{x = \frac{1728}{y}}\)

\(\mathbf{x = \frac{1728}{\sqrt{1728}}}\)

\(\mathbf{x = \sqrt{1728}}\)

\(\mathbf{x = 41.6}\)

Hence, the dimensions that minimize the perimeter are 41.6, 41.6

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The value of x in degrees will be 6° and 11° using properties of parallel lines.

They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.

Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.

The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.

In the above figure,

8x + 7 = 55

8x  = 55 - 7

x = 6

Measure of the angle will be 8 × 6 + 7 = 49

In 11)

10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)

⇒x = 11

The value of x in degrees will be = 11° using properties of parallel lines.

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Answer:

Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

Answer:

9.99 units

Step-by-step explanation:

since hyp=√b^2+h^2

=6.03^2+7.96^2

36.3609+63.3616

√99.7225

9.9861

i.e 9.99

The hypotenuse is is 9.98 units

The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Given:

Sides are 6.03 units and 7.96 units

Using Pythagoras theorem,

H²=P²+B²

H²= 7.96²+6.03²

   = 63.3616+36.3609

   = 99.7225

H=9.98 units.

Hence, the hypotenuse is 9.98 units.

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Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

Answer:

2hrs and 36 mins that is the answer

Answer:

2 hrs 12 mins

Step-by-step explanation:

both trains are effectively getting 190 miles away from one another per hour. If you divide 418 miles by the 190 miles per hour, you get 2.2 hours.

Answer:

75/100 expressed in the simplest fraction is 3/4.

Step-by-step explanation:

Answer:

\( \frac{3}{4} \)

Step-by-step explanation:

75/25=3

100/25=4

14 containers

2.76 / 4 = 0.69

9.66/0.69= 14 containers

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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Answer:

a) 14

=14 x 16 ounces

= 224

b) 18.2 x 1 kilogram

= 18.2 x 1000 grams

= 18200

Step-by-step explanation:

The probability that a random sample of 21 has a mean between 564 and 587 is of:

0.2641 = 26.41%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 555, \sigma = 72, n = 21, s = \frac{72}{\sqrt{21}} = 15.7\)

The probability that a random sample of 21 has a mean between 564 and 587 is the p-value of Z when X = 587 subtracted by the p-value of Z when X = 564, hence:

X = 587:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (587 - 555)/15.7

Z = 2.04

Z = 2.04 has a p-value of 0.9798.

X = 564:

Z = (564 - 555)/15.7

Z = 0.57

Z = 0.57 has a p-value of 0.7157.

0.9798 - 0.7157 = 0.2641 = 26.41%.

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Answer:

\(P(X\leq 1) = 0.331\)

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

\(P(X = x) = \frac{y^xe^{-y}}{x!}\)

Where y represents λ (average)

y = 2.3

Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment

Using probability notations;

\(P(X\leq 1) = P(X=0) + P(X =1)\)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

\(P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}\)

\(P(X = 0) = \frac{1 * e^{-2.3}}{1}\)

\(P(X = 0) = e^{-2.3}\)

\(P(X = 0) = 0.10025884372\)

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

\(P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}\)

\(P(X = 1) = \frac{2.3 * e^{-2.3}}{1}\)

\(P(X = 1) =2.3 * e^{-2.3}\)

\(P(X = 1) = 2.3 * 0.10025884372\)

\(P(X = 1) = 0.23059534055\)

\(P(X\leq 1) = P(X=0) + P(X =1)\)

\(P(X\leq 1) = 0.10025884372 + 0.23059534055\)

\(P(X\leq 1) = 0.33085418427\)

\(P(X\leq 1) = 0.331\)

Hence, the required probability is 0.331

If the null hypothesis is correct, the probability that the test will result in a type 1 mistake is what is known as the alpha level for a hypothesis test. In other words, even in the absence of a treatment effect, the alpha level impacts the likelihood of collecting sample data in the critical zone.

The alpha level establishes the boundaries for identifying the key area that results in "extremely unlikely" or significant results that deviate from the null hypothesis. The likelihood of making a Type I error is one in twenty, according to researchers who use an alpha value or level of significance of.05.

The chance of rejecting the null hypothesis when it is true is known as the significance level, which is alternatively written as alpha or. For instance, a significance level of 0.05 represents a 5% probability of assuming the existence of a difference when none actually exists.

Hence we get the required answer.

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Answer:

It is 15!

Step-by-step explanation:

Therefore the answer is x=15 :)

Answer:

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Step-by-step explanation will be provided in the link above!

Given:

Amount earned = $219

Time = 8 years

Rate = 6.2 = 0.062

To find the principal amount earned, let's use the simple interest formula below:

Where

r = rate

P = principal amount

t = time

Thus, we have:

Divide both sides by 1.496:

Therefore the principal deposited is $146.39

ANSWER:

$146.39

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  angle zoy is 70°, an acute angle

Step-by-step explanation:

Each of the 18 spaces around the 180° semicircle identifies 10° of arc. There are 7 spaces between rays z and y, so the angle zoy is 70°. It is less than 90°, so it is an acute angle.

Answer:

the first one (the less than sign) <

Answer:

32/45

Step-by-step explanation:

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

We can write k(x) as the composition of g(x) and f(x).

k(x) = g(f(x))

A composition of two functions means that we need to evaluate one function in the other one.

Here we have the functions:

f(x)=  x²

g(x) = √(x - 1)

h(x) = 2x + 3

And we know that:

k(x) = √(x² - 1)

So we have a square root, then we need to evaluate g(x), and the argument is a square, then we need to evaluate in f(x), the composition is:

k(x) = g(f(x))

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The regression coefficient value associated with x when fitting the logistic regression model with data collected from this experiment is -0.60.

The logistic regression coefficient of x is calculated by the following formula:

β1 = ln(p1/1-p1) - ln(p2/1-p2)

Where p1 is the probability of success when x = A, and p2 is the probability of success when x = B.

In this case, p1 = 0.26 and p2 = 0.52.

Therefore, β1 = ln(0.26/1-0.26) - ln(0.52/1-0.52)

= ln(0.26/0.74) - ln(0.52/0.48)

= -0.55 - 0.05

= -0.60

Therefore, the regression coefficient value associated with x when fitting the logistic regression model with data collected from this experiment is -0.60.

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Answer: 7.48611111111111111........

Step-by-step explanation:

Answer: CORRECT ME IF I'M WRONG. 9.84722222222 OR 9 61/72

Step-by-step explanation:

3

1

8

+8

2

9

−1

1

2

=

25

8

+8

2

9

−1

1

2

=

25

8

+

74

9

−1

1

2

=

817

72

−1

1

2

=

817

72

−

3

2

=

709

72

=9

61

72

Answer:

4+is the absolute value is greater than 3

Answer:

2(x-3) = 8

Step-by-step explanation:

first it says 'difference of a number and 3' so that equals to (x-3), we use 'x' for the variable for the unknown number

next it says 'twice', so two times which equals 2(x-3)

last it says 'is 8', which means 'equals' so "2(x-3) = 8"