Answer:
present value = $16750
Step-by-step explanation:
The simple interest formula allows us to calculate A, which is the final amount. According to this formula, the amount is given by A = P (1 + r*t), where P is the principal, r is the annual interest rate in decimal form, and t is the loan period expressed in years
simple interest formula:
t: time
P: present value
A: amount
r
: anual interest
A = P (1 + r*t)
P = A / (1 + r*t)
P = 19,513.75 / (1 + 3/100 * 5.5)
P = 19,513.75/ (1 + 0.165)
P = 19,513.75 / 1.165
P = 16750
present value = $16750
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:

Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:

Therefore the coordinates of point X is at (-13, -7)
2/3 or 66% , if its percentage we are talking about , so the answer is that you simply find 66% of 8 so multiply <span>0.666667</span>*8 and theres your answer round up to the nearest tenth and 5.333336 round it up and hopefully you have your answer
or give more info
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C