Math Help!!! Can someone please solve this?? I will give you Brainliest!

Mathematics

1 answer:

Burka [1]3 years ago

4 0

Triangles PQR and PSR are right triangles, with both QR = SR = 5 (since these are radii of the circle R).

TR is also a radius of the circle, so TR = 5, making PR = 4 + TR = 9.

Because PQR and PSR are right triangles, we can compute the length of the missing side, which will be equal. By the Pythagorean theorem,

PQ^2 + QR^2 = PR^2

PQ^2 + 5^2 = 9^2

PQ^2 = 56

PQ = √56 = 2√14

Then the perimeter of PQRS is

PQ + QR + RS + SP = 2√14 + 5 + 5 + 2√14 = 10 + 4√14

and so the answer is B.

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D) -cos(x)

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3 years ago

Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are mad

stealth61 [152]

Answer:

The time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.

Step-by-step explanation:

Given

Principle Amount P = $440

Accrued Amount A = $640

Interest rate r = 5.6% = 0.056

Compounded daily n = 365

To determine:

Time period t = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7 (nearest year)

Therefore, the time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.

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3 years ago

1. find the balance after one year if you deposit all the money into an account that pays $2.50 in simple interest each month (t

Naddika [18.5K]

1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630

2. Balance after 1 year with compounded interest = P ( 1 + $\frac{r}{n}$ $)^{nt}$