Answer:
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Step-by-step explanation:
we have
Solve for x
Adds 7 both sides
Divide by -3 both sides
Remember that
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so
The solution is the interval (-9,∞)
therefore
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Answer:the sailboats are 358 feet apart.
Step-by-step explanation:
The diagram of the triangle representing the situation is shown in the attached photo.
B represents the position of the lighthouse.
D represents the position of the first sailboat.
C represents the position of the second sailboat.
x represents the distance between the two sailboats
We would apply trigonometric ratio
Tan # = opposite/adjacent
For triangle ABD,
Tan 12 = 370/AD
AD = 370/Tan 12 = 370/0.2126 = 1740.357 feet
For triangle ABC,
Tan 10 = 370/AC
AD = 370/Tan 10 = 370/0.1763 = 2098.695 feet
x = AC - AD = 2098.695 - 1740.357 = 358 feet
Part 1:
From the table, in week 1, the price increased by $1.25, in week 2, the price decreased by $3.125, in week 3, the price increased by $0.625 and in week 4, the price increased by $1.5
After the 4 week the change in price is given by 1.25 - 3.125 + 0.625 + 1.5 = 0.25.
Therefore, the price changed over the 4 weeks period by $0.25.
Part 2:
After the 4 week the change in price is given by 1.25 - 3.125 + 0.625 + 1.5 = 0.25.
Therefore, the price increased over the 4 weeks period.
Part 3:
Given that the price of 1 gram of gold was $39.28 at the end of week 4. since the price of 1 gram of gold increased by $0.25 over the 4 weeks period, the price of 1 gram of gold at the beginning of week 1 is given by:
39.28 - 0.25 = $39.03
Given:
Principal value = $12000
Rate of interest = 2.5%
To find:
Total amount after 15 years.
Solution:
Formula for amount discontinuously compounded interest is
where, P is principal, r is rate of interest and t is time in years.
Substitute P=12000, r=0.025 and t=15 in the above formula.
Therefore, the amount after 15 years is $17459.897.
Answer:
The answer is " 0.83"
Step-by-step explanation:
In the question some data is missing, that's value can be defined as follows:
Values:
Formula:
