What is the period of the function y=2sin(3x-pi/6)+4 URGENT

Solve the following inequality algebraically. ∣x−5∣≤11

Igoryamba

Answer:

$-6\leq x\leq 16$

Step-by-step explanation:

So we have the inequality:

$|x-5|\leq 11$

Definition of Absolute Value:

$x-5\leq 11\text{ or } x-5\geq -11$

Note that the sign is flipped in the second case because we multiplied by a negative.

Add 5 to both sides to both equations:

$x\leq 16\text{ or } x\geq -6$

Merge:

$-6\leq x\leq 16$

And we're done!

4 0

3 years ago

Two triangles have altitudes of equal length. if the areas of these triangles have a ratio of 3:4 then the bases of the triangle

MatroZZZ [7]

Answer:
3/4
Area of the small triangle/Area of larger triangle=3/4

Area of the small triangle/Area of larger triangle=(1/2×base of small triangle×length)/(1/2×base of larger triangle×height)
3/4=(1/2×base of small triangle×height)/(1/2×base of larger triangle×height)
Since the length of the triangle are equal the base ratio of the two triangles is the same as area ratio.

5 0

3 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

Learn more about loan payment here:

brainly.com/question/1040657

3 0

3 years ago

How fast will a car move if it was going 30 m/s and then accelerated at 3 m/s/s for 21 seconds

Colt1911 [192]

Answer:

meters and t is in seconds. ... of 3 m/s South After 6 seconds, its velocity will be: ... The diagram shows a velocity-time graph for a car moving in a straight line. ... (E) When velocity and acceleration are both constant. 21. The following graph is a position ... 260 m/s" for 20ms, then travels at a constand velocity for another 30ms.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

1+[2x-3(1.8/0.2)] how to simplify

Mademuasel [1]

1.8=5/5+4/5=9/5

--------------

0.2=1/5

-------------------

1.8/0.2=(9/5)/(1/5)=(9/5)*(5/1)=9

-------------------

Therefore:

1+[2x-3(1.8/0.2)]

=1+[2x-3(9)]

=1+[2x-27]

=1+2x-27

=2x-26

=2(x-13)

7 0

3 years ago

Read 2 more answers