Answer:
After 11 years the value of the investment reaches $1500.00
.
Step-by-step explanation:
The formula used for finding time (when the value reaches certain amount) is:

where A= Future VAlue
P= Principal Value
r= rate of interest (in decimal)
n= no of times investment is compounded
t= time
Putting the values given and finding Time t,
A= $1500
P= $1200
r= 2% or 0.02
n= 4 (compound quarterly)


Dividing both sides by 1200 and solving 0.02/4 = 0.005


Since t is in power we take the logarithm ln on both sides.
The rule of logarithm says that the exponent can be multiplied with the base when taking log

Answer: $9.91
Step-by-step explanation: The correct answer is $9.91 for the jeans. This is calculated by divided the total paid ($10.11) by 1.02, which represents the cost of the jeans + the 2% interest. 10.11 / 1.02 = $9.91.
You can then double check you work by calculating the 2% interest rate of the jeans. $9.91 x 2% = $ .20. The total is $9.91 for the jeans plus $ .20 for the tax, for a total of $10.11, which is the amount in the original problem.
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
-2 is a solution because first you subtract 4x then after you get a new equation you move 15 to the left, then you subtract 15 from -1, then you factor the left side, then you divide both sides of the equation by 2
Answer: D
Step-by-step explanation:
12 and 14 share the factor 2 so the furthest it can be simplified to is 6/7. this is not equal to 4/7