A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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Answer:

47.3

Step-by-step explanation:

as shown above ,this question can be solved using trigonometry and hence we get the perimeter to be 47.3

Answer:

7,300

Step-by-step explanation:

6900x2 years=13,800 total tuition.

13800-2500-4000 (2000x2)=7,300

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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Answer:

-2 ,2

Step-by-step explanation:

Answer:

4x-11y

Step-by-step explanation:

How to solve your question

Simplify

(6−3)−2(+4)

(6x-3y)-2(x+4y)

(6x−3y)−2(x+4y)

Distribute

(6−3)−2(+4)

(6−3)−2−8

Eliminate redundant parentheses

(6−3)−2−8

6−3−2−8

Combine like terms

6−3−2−8

4−3−8

Combine like terms

4−3−8

4−11

Answer:

60 or more

to make it simple add all the percentage and youll find 50% then we need double the applicants

For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer: 120

Step-by-step explanation: I got it right, hope this helps ✨

Answer:

he has I20 different ways to put the books

Step-by-step explanation:

to solve this you would multiply 5x4x3x2 this is how many different combinations he can but the note book on the shelf. 5x4x3x2 is equal to 120

Answer:

Step-by-step explanation:

Part A)  -15 divided by 5 weeks

Part B) -15 divided by 5= -3

because 5 goes into -15 (-3 times)  and its negative because  the degrees are  -15,  so the temperature changes by -3 degrees each week.

The average change in the temperature of the city each week is -15/5 = -3

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that the temperature of a city changed by -15 degrees Celsius over a 5-week period.

And the temperature changed by the same amount each week.

Part (A) the average change in the temperature of the city each week as

⇒ -15/5

⇒ -3

The reason that it is a negative sign causes the temperature to vary by -15 degrees every week.

Part (B) -15 divided by 5 weeks

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Answer:

c

Step-by-step explanation:

it is c because it said girls to boys, then explained girls to boys, while b was out of order. a and d said 5 first, contrary to the original question

Answer:

C because all the other options are from boys to girls or 5 to 2 and were looking for girls to boys or 2 to 5.

Step-by-step explanation:

Answer:

32

Explanation:

We can multiply the numerator by the number and leave the denominator as: (2 x 48) / 3 = 96/3 = 32.

Answer:

2 gallons converted to liters is 7.57 or 8 liters rounded

The amount that is present after 11 minutes is 261.2 mg.

Exponential growth is a type of growth that occurs when a quantity increases at a rate proportional to its current value. It is characterized by a constant growth rate, which leads to rapid increase in the quantity over time.

We can see that the correct equation of the process would have the general form of; P = Poe^rt

P= amount at time t

Po = Initial amount

r = rate of growth

t = time taken

Thus;

2(Po) = Poe^7r

2 = e^7r

r = ln2/7

r = 0.099

For 11 minutes we would have that;

P= 87.9e^0.099*11

P = 261.2 mg

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Answer:

57.23

Step-by-step explanation:

Multiplied it out, and two negatives make a positive, so boom you get the answer :)

Answer:

57.23

Step-by-step explanation:

AWW, that's easy. -5.9 x -9.7 or 5.9 x 9.7, same result. All u have to do is know how to multiply. I cannot really tell you step by step conveniently...

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Answer:

20

Step-by-step explanation:

Answer:

tom is 8 and becky is 18 now

Step-by-step explanation:

in two years becky would be 20 and tom will be 10

hope this helps

Considering the definition of probability, the probability that the next customer will pay with a debit card is \(\frac{12}{139}\).

Probability is the greater or lesser chance that a given event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases.

\(P(A)=\frac{number of favorable events}{ total number of possible events}\)

The probability of event A can only be a number between 0 and 1; although it can also be written as a percentage.

In this case, you know:

Replacing in the definition of probability:

\(P(A)=\frac{12}{ 139}\)

Finally, the probability that the next customer will pay with a debit card is \(\frac{12}{139}\).

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Answer:

Step-by-step explanation:

If Shaun eats popping candy while drinking a can of soda, soda streams out of Shaun's nose and he gets embarrassed. It isn't the case that soda streams out of Shaun's nose and he gets embarrassed. So, it isn't the case that Shaun eats popping candy while drinking a can of soda. The logical form of this argument is denying the antecedent. The Option B is correct.

If we represent the argument in logical symbols, it would look like this:

The argument can be summarized as follows:

If P, then Q.

Not P.

Therefore, not Q.

This is the form of denying the antecedent, where the argument asserts that if P is true, then Q must also be true. However, the argument then proceeds to deny the antecedent by claiming that P is not true, and therefore, Q must not be true either.

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

The answer selected is correct

Step-by-step explanation:

When talking about balance, having -X (being X in the negative) , means owing X.

Dylan owes $19.25

Elise owes $42.75

Francesca owes $23

Jamaal owes $35.50

So naturally, Dylan owes the least.

Answer:

okay

Step-by-step explanation:

Answer:

1.    n + 34

2.   n - 34

3.   n × 34

Step-by-step explanation:

1. 34 more than a number     n + 34

2. a number decreased by 34      n - 34

3. the product of a number and 34    n × 34