Jacob wanted to purchase a boat. The dealership offered the following payment terms for Jacob: a $800 down payment and $275 a mo

The table is included below

Based on the table, we can observe that the cost of lemons contributes to 35% of the expenses.

Let x represent the expenses; hence, the lemon cost is 70.

The lemon cost is 35% of x.

So, 70 = 35% of x (where 35% = = 0.35).

Thus, 70 = 0.35 * x.

Solving that gives us x =

x = 200, meaning the expense is $200.

Given that the profit margin is 15% = = 0.15,

we calculate profit as the product of the profit percentage and expenses.

Profit equals 0.15 * 200 = 30.

Therefore, the profit amounts to $30

Result:

20.19°

Detailed explanation:

Refer to the attached diagram related to the question. We need to determine <CAB

Utilizing the sine rule on triangle ABC:

cross-multiply

Thus, the angle <CAB measures 20.19°

11,000 multiplied by 16% equals $1,750, which when multiplied by 4 gives a total of $7,040.

Therefore, after 4 years, the car's value is $11,000 - 7,040 = $3,960.

Rounding 17.2 to one significant figure gives you 17. This is because when the digit after the decimal point is below 5, you simply keep the number as is, but if it's 5 or above, you round up.

We need to specify the interval for numbers ranging from -5 to 4.

Moreover, we must exclude the values -1 and 4 from this range.

First, let’s note some crucial guidelines regarding interval notation.

It’s essential to identify which values are included and which ones are not in the specified range.

An open interval (or) indicates excluded numbers, while a closed interval [or] shows included numbers.

In this scenario, we notice three key numbers: -5, -1, and 4.

It is explicit that -1 and 4 are excluded, though -5 is not indicated as excluded, hence it remains included.

-1 lies between -5 and 4 on the number line.

Consequently, we can represent the interval notation from -5 to -1. (Note: -5 is included and -1 is not).

Thus, we write a closed interval " [ " on the left side of -5 and an open interval " ( " on the right side of -1. This gives us,

[-5, -1 ).

Next, we represent the interval from -1 to 4.

Since both endpoints are excluded, we will use open intervals ( ) on both sides of -1 and 4.

This results in the interval being

(-1,4).

We combine the two interval notations using the union symbol. So, the final interval representation is

[-5, -1 ) ∪ (-1,4).