Answer:
The correct answer is
K = 29.0123 months
Step-by-step explanation:
The given variables are interest at 12 % monthly compounded
to find the number of months
Compound interest =
and
A = Future value.
P= Principal, initial value amount,
r= Interest rate
n= number of time units,
t = time
and
where
P = principal,
i = interest,
F = Future sum payment
n = number of payment time units
The two options have the same eventual value
Therefore we have


Taking natural logarithm of both sides we have
K= -(㏑(10/6)+
)/㏑(1.01) = 29.0123 months
Alternatively we have
Answer:
16x - 6y
Step-by-step explanation:
Hope that helps you
Answer:
x = 135°
Least to greatest
90°, 90°, 90°, 135° and 135°
Step-by-step explanation:
All the angles in this pentagon adds up to 540
(x - 45) + x + (x - 45) + (x - 45) + x = 540
x - 45 + x + x - 45 + x - 45 + x = 540
Collect like terms and place them on either side
5x = 540 + 45 + 45 + 45
5x = 675
Divide both sides by 5 to make x on its own
x = 135°
Angle measures of the pentagon from least to greatest
135 - 45 = 90
90, 90, 90, 135 and 135
Answer:
82 is the answer
Step-by-step explanation:
hope it help you
Answer:
This question can be solved using direct and inverse variation. Direct variation can be solved using unitary method that is common sense like if you buy 10 chocolates for 100 rupees how many rupees would you pay for 20 - this is simple as if 10 chocolates is 100 then 20 would be 200. HOWEVER, Inverse Variation is when one value increase the other value decreases and they are proportional. They have a formula called x1/x2 = y2/y1.
In this problem we can use this formula, x1/x2 = 15/42 and y2/y1 = 30/x
so hence 15/42 = 30/x
= 15x = 30*42
x= 1260/15
= 84
Therefore 84 is the answer.