The amount of interest you pay does not depend on the method the lender uses to calculate interest.
True or False
Answer:
FALSE
Step-by-step explanation:
The amount of interest paid depends on the method adopted by the lender. There are several methodologies for applying interest, so that each sector will adhere to the most convenient modality. The interest paid by you will be the result of this choice and may for example have a daily, monthly, semi-annual or annual impact. Obviously all interest charged must be clearly described in a contract and must be considered legal in the state legal apparatus.
One-fourth equals the quotient of a number and 8. Find the number.
The surface area of a snowball melting decreases at a rate of 6cm/min. how is the volume changing when the radius is 3
what is the answer to simplify 9 yards: 9 feet
Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores. Drag marshmallows and graham crackers into the box to show how many Niko needs to make 3 s'mores.
Answer: Niko needs 9 marshmallows and 6 graham crackers to make 3 s'mores.
Step-by-step explanation:
Let x be the number of marshmallows , y be the number of graham crackers and z be the number of s'mores.
Then according to given question
Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores
gives the equation 12x+8y=4z
If we divide whole equation by 4 , we get the quantity of x and y to make z such that
[tex]\frac{1}{4}(12x+8y)=\frac{1}{4}(4z)\\\Rightarrow3x+2y=z[/tex]
Now to make 3 s'mores, we need to multiply the equation by 3 such that
[tex]3\times(3x+2y)=3\times\ z\\\Rightarrow\ 9x+6y=3z[/tex]
Thus Niko needs 9 marshmallows and 6 graham crackers to make 3 s'mores.
A city council wants to build a public park. Which of these taxes is it most likely to use to fund its effort?
a. Sales Tax
b. Income Tax
c. Property Tax
Determine whether the random variable is discrete or continuous.
a. the distance a baseball travels in the air after being hitdistance a baseball travels in the air after being hit.
b. the number of textbook authors now sitting at a computernumber of textbook authors now sitting at a computer.
c. the number of points scored during a basketball gamenumber of points scored during a basketball game.
d. the amount of snowfallamount of snowfall.
e. the square footage of a housesquare footage of a house.
7.58 rounded to the nearest tenth place
Select True or False for each statement.
For a real number a, a + 0 = a.
For a real number a, a + (-a) = 1.
For a real numbers a and b, | a - b | = | b - a |.
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).
For rational numbers a and b when b ≠ 0, is always a rational number.
For a real number a, a + 0 = a. TRUE
For a real number a, a + (-a) = 1. FALSE
For a real numbers a and b, | a - b | = | b - a |. TRUE
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
Explanation:For a real number a, a + 0 = a. TRUEThis comes from the identity property for addition that tells us that zero added to any number is the number itself. So the number in this case is [tex]a[/tex], so it is true that:
[tex]a+0=a[/tex]
For a real number a, a + (-a) = 1. FALSEThis is false, because:
[tex]a+(-a)=a-a=0[/tex]
For any number [tex]a[/tex] there exists a number [tex]-a[/tex] such that [tex]a+(-a)=0[/tex]
For a real numbers a and b, | a - b | = | b - a |. TRUEThis is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:
[tex]\mid a-b \mid= \mid b-a \mid[/tex]
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSEThis is false. By using distributive property we get that:
[tex](a + b)(a + c)=a^2+ac+ab+bc \\ \\ a^2+ab+ac+bc \neq a+(b.c)[/tex]
For rational numbers a and b when b ≠ 0, is always a rational number. TRUEA rational number is a number made by two integers and written in the form:
[tex]\frac{u}{v} \\ \\ v \neq 0[/tex]
Given that [tex]a \ and \ b[/tex] are rational, then the result of dividing them is also a rational number.
Answer:
A) True
B) False
C) True
D) False
E) True
Step-by-step explanation:
We are given the following statements in the question:
A) True
For every real number, a, a + 0 = a. 0 is known as the additive identity.
B) False
For a real number a, a + (-a) = 0.
C) True
For a real numbers a and b, [tex]|a-b| = |b-a|[/tex]
D) False
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c).
Counter example: For a = 2, b = 1, c = 3
[tex]a + (b.c) = (a + b)(a + c)\\2 + (1.3) \neq (2+1)(2+3)\\5\neq 15[/tex]
E) True
For rational numbers a and b, b is not equal to zero, [tex]\frac{a}{b}[/tex] is always a rational number.
The factored form of 4a3b5 − 16a5b2 + 12a2b3 is ?
Answer:
The factored form of [tex]4a^3b^5-16a^5b^2+12a^2b^3[/tex] is [tex]4a^2b^2\left(ab^3-4a^3+3b\right)[/tex].
Step-by-step explanation:
To find the factored form of [tex]4a^3b^5-16a^5b^2+12a^2b^3[/tex] you must:
Apply exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]a^2b^3=a^2b^2b,\:a^5b^2=a^2a^3b^2,\:a^3b^5=a^2ab^2b^3[/tex]
So, we can write our expression as [tex]4a^2ab^2b^3-16a^2a^3b^2+12a^2b^2b[/tex].
Next, rewrite 12 as [tex]3\cdot \:4[/tex] and -16 as [tex]4\cdot \:4[/tex]
[tex]4a^2ab^2b^3+4\cdot \:4a^2a^3b^2+3\cdot \:4a^2b^2b[/tex]
Factor out common term: [tex]4a^2b^2[/tex]
Therefore,
[tex]4a^3b^5-16a^5b^2+12a^2b^3= 4a^2b^2\left(ab^3-4a^3+3b\right)[/tex]
Lines a and b are parallel. What is the measure of angle s? Enter your answer in the box. s = ∘∘ Horizontal parallel lines a and b intersect with another line making eight angles, the top right angle of line a is labeled one hundred fifty eight degrees, and the top left angle of line b is labeled X degrees
Answer:
Measure of angle s is 22°
Step-by-step explanation:
Given that lines a and b are parallel. Horizontal parallel lines a and b intersect with another line making 8 angles, the top right angle of line a is labeled 158° and the top left angle of line b is labeled s degrees
we have to find the measure of angle s.
As ∠1 and 158° and on straight line hence are supplementary
i.e ∠1+158°=180°
⇒ ∠1=180°-158°=22°
Also, angle s and ∠1 are alternate interior angles.
As a and b are parallel then alternate interior angles are equal.
Hence, ∠s=∠1=22°
Measure of angle s is 22°
Which investment has the least amount of risk? standard deviation = $450, expected return = $4,500 standard deviation = $600, expected return = $400 standard deviation = $500, expected return = $800 standard deviation = $400, expected return = $5,000?
Ryan earns $7.50 an hour doing yard work if you were 12 hours a week during an 11 week summer break how much money will Ryan earn in all
Let f(x) = 4x-5 and g(x) = 3x, find (fog)(x)
Please answer the question
Find two numbers whose sum is 23 and whose product is a maximum.
The unknown numbers are 11.5 and 11.5
Let the unknown numbers be x and y
If the sum of the numbers is 23, hence;
x + y = 23
x = 23 - y ............. 1
If the product is at maximum, hence;
xy = maximum ......... 2
Substitute equation 1 into 2
(23 - y )y = maximum
23y - y² = maximum
maximum = -y² + 23y
A(y) = -y² + 23y
Since the product A(y) is at maximum, hence dA(y)/dy = 0 as shown:
dA(y)/dy= -2y + 23 = 0
-2y + 23 = 0
2y = 23
y = 23/2
y = 11.5
Since x + y = 23
x = 23 - y
x = 23 - 11.5
x = 11.5
Hence the unknown numbers are 11.5 and 11.5
Learn more here: https://brainly.com/question/4121602
Given the number, two-fifths, generate its equivalent forms as a fraction, a decimal, and a percent. In addition, give a real world example in which each form might be used
Which line has a mistake in the following steps.
12 - 6(8 / 4)
12 - 6(2)
6(2)
12
In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°.What is the measure of ∠3?
Use polar coordinates to find the limit. [if (r, θ) are polar coordinates of the point (x, y) with r ⥠0, note that r â 0+ as (x, y) â (0, 0).] (if an answer does not exist, enter dne.) lim (x, y)â(0, 0) 7eâx2 â y2 â 7 x2 + y2
Tell whether the two rates form a proportion
7 inches in 9 hours; 42 inches in 54 hours
explain how you got the answer/show your work
The rates of 7 inches per 9 hours and 42 inches per 54 hours do form a proportion, as demonstrated by cross-multiplying the two ratios which resulted in equal cross products (378 inch-hours on both sides).
Explanation:To determine if the two rates form a proportion, we need to compare the ratios of inches to hours for both scenarios. For the first rate, we have 7 inches in 9 hours, and for the second rate, we have 42 inches in 54 hours. A proper proportion exists when two ratios are equivalent.
Let's set up our two ratios:
First ratio: 7 inches / 9 hoursSecond ratio: 42 inches / 54 hoursNow, we will test if these ratios form a proportion by creating a fraction out of each ratio and then cross-multiplying.
(7 inches / 9 hours) = (42 inches / 54 hours)
Cross multiply:
7 inches * 54 hours = 378 inch-hours
42 inches * 9 hours = 378 inch-hours
Since the cross products are equal, the two rates indeed form a proportion.
A fair die is rolled 8 times.
a. what is the probability that the die comes up 6 exactly twice?
The probability of rolling a 6 exactly twice in 8 rolls of a fair die is approximately 33.5%.
The situation describes a binomial distribution where we have:
n = 8 (number of trials)k = 2 (number of successes, i.e., rolling a 6)p = 1/6 (probability of success on a single trial)The binomial probability formula is given by:
[tex]P(X = k) = \binom{n}{k} \times p^k \times (1-p)^{n-k}[/tex]
First, calculate (n choose k) which is given by:
[tex]\binom{n}{k}= n! / [k! \times (n-k)!][/tex]
For our problem:
[tex]\binom{n}{k} = 8! / [2! \times (8-2)!] = 28[/tex]
Next, calculate the probability:
[tex]P(X = 2) = 28 \times (1/6)^2 \times (5/6)^6[/tex]
Evaluating the above:
P(X = 2) = [tex]28 \times (1/36) \times (15625/46656)[/tex] ≈ 0.335
Therefore, the probability that the die comes up a 6 exactly twice in 8 rolls is approximately 0.335 or 33.5%.
what is the axis of symmetry for the graph of y-4x=7-x^2
the larger of two numbers is nine more than four times the smaller number the sum of the two numbers is 59 find the two numbers
a triangle is classified as equilateral triangle when it has
Answer:
Three sides with the same length because that is what an equilateral triangle is.
Step-by-step explanation:
Daisy is shipping a package to her daughter, Molly. If the box’s dimensions are equal, and the length is 3 feet long, what is the volume of the box in cubic feet?
A. 1
B. 3
C. 9
D. 27
2x^3-18x
factor completely
At the store deli, Rita spent $13.45 on 5 pounds of cheese. How much would it cost to buy 2 pounds of cheese?
Answer:
The cost would be $ 5.38.
Step-by-step explanation:
Given,
The price of 5 pounds of cheese = $ 13.45,
So, the price of 1 pounds of cheese = [tex]\frac{\text{Price of }5\text{ pounds of cheese}}{5}[/tex]
[tex]=\frac{13.45}{5}[/tex]
[tex]=\$ 2.69[/tex]
Thus, the price of 2 pounds of cheese = 2 × price of each pound of cheese
= 2 × 2.69
= $ 5.38
16.99 cap; 20% discount
An artist agrees to paint a landscape painting at $0.30 per square inch. If the painting is 13 inches by 17 inches, how much should the artist charge?
area of painting = 13 * 17 = 221 square inches
221 * 0.30 = 66.30
the price would be $66.30
For a closed cylinder with radius r cm and height h cm, find the dimensions giving the minimum surface area, given that the volume is 40 cm3.
The dimensions that give the minimum surface area are a radius of approximately 2.83 cm and a height of approximately 0.64 cm.
Explanation:To find the dimensions of the closed cylinder that give the minimum surface area, we need to express the surface area of the cylinder in terms of one variable.
Let's use the radius, r, as the variable.
The surface area of a closed cylinder is given by the formula: A = 2πr² + 2πrh, where h is the height of the cylinder.
Since we are given that the volume of the cylinder is 40 cm³, we can use the formula for the volume of a cylinder to express h in terms of r: V = πr²h = 40 cm³.
Substituting this expression for h in terms of r into the surface area formula, we get:
A = 2πr² + 2πr(40 / (πr²)) = 2πr² + (80 / r).
To find the dimensions that give the minimum surface area, we need to find the value of r that minimizes A.
To do this, we take the derivative of A with respect to r and set it equal to zero:
A' = 4πr - (80 / r²) = 0. Solving this equation, we find that r = √(20/π) ≈ 2.83 cm.
So, the radius that gives the minimum surface area is approximately 2.83 cm.
We can then use the volume formula to find the corresponding height: h = 40 / (π(2.83)²) ≈ 0.64 cm.
Therefore, the dimensions giving the minimum surface area are a radius of approximately 2.83 cm and a height of approximately 0.64 cm.