Answer:
The answer is cosx cot²x ⇒ the first answer
Step-by-step explanation:
∵ cot²x = cos²x/sin²x
∵ secx = 1/cosx
∴ cot²x secx - cosx = (cos²x/sin²x)(1/cosx) - cosx
= (cosx/sin²x) - cosx
Take cosx as a common factor
∴ cosx[(1/sin²x) - 1] ⇒ use L.C.M
∴ cosx[1-sin²x/sin²x]
∵ 1 - sin²x = cos²x
∴ cosx(cos²x/sin²x) = cosx cot²x
Answer:
$9408 more than she started with
Step-by-step explanation:
The amount added to Patterson's account each month is ...
$2575 -1029 -312 -450 = $784
After 12 months, she has added ...
12 × $784 = $9408
After 12 months, Patterson has added $9408 to her account.
Greater than because the line is dashed and the shaded region is in the positive or less negative numbers area. Greater than or equal would be the same but with a solid line.
Answer:
$315.24
Step-by-step explanation:
Principal, P =$262
Rate, r= 3.7% =0.037
Time, t= 5 Years
The Value of the Investment which is compounded continuously is gotten using the formula:
The value of the investment after 5 years is $315.24 to the nearest cent.
You have the formula. Put in the numbers and solve for r.
The interest earned in 4 years on 5000 is (6500 -5000) = 1500.
.. I = Prt
.. 1500 = 5000*r*4
.. 1500/20000 = r = .075 = 7.5% . . . . . . matches selection B
