3n = –8 + 4n
with work shown

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

Answer:

[tex]d = q(z-1)[/tex]

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

[tex]S_{10} = 5q(9z -7)[/tex]

Step-by-step explanation:

Given

[tex]T_1 = q[/tex]

[tex]T_2 = qz[/tex]

Solving (a1): The common difference (d)

d is calculated as

[tex]d = T_2 - T_1[/tex]

This gives:

[tex]d = qz - q[/tex]

Factorize:

[tex]d = q(z-1)[/tex]

Solving (a2): Sum of n terms

This is calculated using:

[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]

Substitute values for T1 and d

[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]

[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]

Factorize:

[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

Solving (b): Sum of first 10.

In this case, n = 10

So:

[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]

becomes

[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]

[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]

[tex]S_{10} = 5q(2 + 9(z-1))[/tex]

[tex]S_{10} = 5q(2 + 9z-9)[/tex]

[tex]S_{10} = 5q(2 -9+ 9z)[/tex]

[tex]S_{10} = 5q(-7+ 9z)[/tex]

[tex]S_{10} = 5q(9z -7)[/tex]

Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:

a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]

Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

Recall:

Given:

a. Common difference (d) = [tex]T_2 - T_1[/tex]

[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]

Sum of n terms:

[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]

[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. Sum of the first 10 terms:

[tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]

[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]

[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:

a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]

Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]

b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]

Learn more here:

https://brainly.com/question/14311840

Answer:

1.575

Step-by-step explanation:

Answer:

3 + 3x = 45 ; x = 14

Step-by-step explanation:

45 = 3x + 3 ⇒ x = 14

Answer:

Step-by-step explanation:

the rock has changed color due to weathering.

just by looking at it, you cant tell for sure making it an inference.

Answer:

4. the rock has changed colour due to weathering

Step-by-step explanation:

the rock's colour has changed as a result of interference

Answer:

2225

Step-by-step explanation:

1643 A.D. years plus 582 B.C. years in between the births

Answer:

27/29

Step-by-step explanation:

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Answer:

Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.

Step-by-step explanation:

I took the test.

Answer:

It's the first answer.

Step-by-step explanation:

Answer:

The Answer is A

Step-by-step explanation:

The inequality is represented by the given graph is y ≤ -x/3+1.

The correct option is B.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

We have,

A graph of an inequality, passing by (0, 1) and (3, 0).

A and D are eliminated since the line is solid.

C is disregarded because the line is shaded below as well.

Then, the inequality will be y ≤ -x/3+1

Hence, the inequality is represented by the given graph is y ≤ -x/3+1.

Learn more about inequality here:

brainly.com/question/30231190

#SPJ7

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

From the given figure

∵ ∠2 and 49° are vertically opposite angles

∵ The vertical opposite angles are equal in measures

∴ m∠2 = 49°

∵ The sum of the interior angles of a Δ is 180°

∵ m∠1, m∠2, and 68° are interior angles of a Δ

∴ m∠1 + m∠2 + 68° = 180°

∵ m∠2 = 49°

∴ m∠1 + 49° + 68° = 180°

→ Add the like terms in the left side

∴ m∠1 + 117 = 180

→ Subtract 180 from both sides

∴ m∠1 = 63°

∵ ∠3 and 93° formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

∴ m∠3 + 93° = 180°

→ Subtract 93 from both sides

∴ m∠3 = 87°

∵ 93° is an exterior angle of the triangle

∵ The measure of the exterior angle of a Δ at one vertex equals the sum

   of the measures of the opposite interior angles to this vertex

∵ ∠4 and 49° are the opposite interior angles to 93°

∴ 49° + m∠4 = 93°

→ Subtract 49 from both sides

∴ m∠4 = 44°

Answer:

X = 26

Step-by-step explanation:

triangle = 180 degrees

180 - (25+112) = 43

X + 17 = 43

43 - 17 = 26

x = 26

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

"S" (similar fractions)

Step-by-step explanation:

Since "similar fraction" are those with the same denominator, in our case, since 2/3 and 1/3 have both the same denominator "3", these are similar fractions.

Answer:

9/10 (Decimal: 0.9)

Step-by-step explanation:

7 1/5 ÷ 8 = 9/10

(Decimal: 0.9)

Answer:

4/9c

Step-by-step explanation:

When dividing by fraction, multiply by its reciprocal.

so 7a/9bc × 12b/21a = 84ab/ 189abc

Simplify

84/189c

4/9c

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

Answer:

8

Step-by-step explanation:

When we look at sequences, we have the function and we have the sequence, the sequence is f(x)... f(n)... or just f with any variable within a parenthesis right next to it.

What the variable signifies is the value that we will be replaced within the sequence, which is 2n in this case. So by your question, it we are looking for the fourth term, that means f(4) = 2n.  Since n is replaced with 4, we do the same with the sequence.

2(4)

Multiply

8

Answer:

A Rational Number can be made by dividing two integers.

(An integer is a number with no fractional part.)

Step-by-step explanation:

Answer:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Step-by-step explanation:

Hope this helps. :D

Answer:

320 calories

Step-by-step explanation:

Ratios.

let's say calories= c

grams = g

160c:40g

?      :80g

So if you look at the grams, you see an increase by *2.

so the get: ?

you need to multiply 160 by 2.

Answer:

28

Step-by-step explanation:

I got this question on  a test and got it right

HAVE A GREAT DAY!

Answer:

(0,0) means that he didn't buy any apples so it doesn't cost anything

Step-by-step explanation:

Answer:

20 X 40 = 800 (split into 2 fourths) = 40

Step-by-step explanation

20 x 40 = 800;

For 2 necklaces she can split 800 into fourths.

800 - 40 = 80. (1 fourth)

80 - 40 = 40 (2 fourths)

40 - 40 = 0 (3 fourths)

She could split 800 into 2 fourths to get a number more than 0 and less then 42.

The best estimate of rounding 42 is 40. Because 40 is closer to 42.

Answer:

y = 2/3 x + 1/3

Step-by-step explanation:

First find the slope of the given line by solving for "y":

3 x + 2 y = -7

2 y = - 3 x - 7

y = - 3/2 x - 7/2

which shows a slope of "- (3/2)"

Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"

We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:

y = 2/3  x + b

1 = 2/3 (1) + b

1 - 2/3 = b

b = 1/3

Then the equation of the line is:

y = 2/3 x + 1/3

which agrees with the third answer shown in the list of options.

Answer:

the answer is no solution.

Step-by-step explanation:

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533

Answer:

Multiplication sorry I late

Step-by-step explanation:

Answer: Multiplication property of equality

Answer:

[tex]x=5,-5[/tex]

Step-by-step explanation:

[tex]\\ y=\frac{x^2-3}{2}\\\\ x=\frac{y^2-3}{2}\\\\ 2x=y^2-3\\\\ y^2=2x+3\\\\ f^{-1}(x)=\pm\sqrt{2x+3}\\\\ f^{-1}(x)=\pm\sqrt{2(11)+3}\\=\pm\sqrt{25}=\pm 5[/tex]