So this is how you will arrive to the answer:
The following formula models the value of a retirement account,
S = (A [ ( 1 + r ) ^ (t + 1) - 1] / r)
wherein:
A = number of dollars added to the retirement account (each year)
r = annual interest rate
s = value of the retirement account after t years
The question is:
If the interest rate is 11% then how much will the account be worth after 15 years if $2200 is added each year?
Round to the nearest whole number.
Solution:
The said formula contains the term t + 1 instead of the usual "t". Means that the formula applies only in the situation where the money is invested at the beginning of the year instead of the usual practice at the end
Given:
A = 2200
r = 0.11
t = 15
The accumulated amount:
F = A ((1 + r) ^ (t+1) - 1 / r
Substitute:
F = 2200 (1.11 ^ (15 + 1 ) - 1) /0.11
F = 86217.88664
If money is invested at the end of the year, then F = 80476.49, the difference being the investment of an extra 2200 over 15 years.
The complete question in the attached figure
we know that
[volume of a triangular prism]=[area triangular base]*[length]
[volume <span>of a triangular prism]=[(14.4*2.1)/2]*8.25
</span>[volume of a triangular prism]=124.74 mm³
the answer is 306
Answer:
The measure of angle x is 
Step-by-step explanation:
To find the measure of angle X, apply the law of cosines
The law of cosines states that
In this problem we have
substitute
![C=arccos[(986-576)/950]=64.4\°](https://tex.z-dn.net/?f=C%3Darccos%5B%28986-576%29%2F950%5D%3D64.4%5C%C2%B0)
Therefore
The measure of angle x is
Answer: The answer is 3 basic toppings and 2 premium toppings.
Y and x are directly proportional, as stated by hypothesis. Let's use the rule of three to find y when x = 8.
x=5 --> y=12
x=8 --> y=?
? = (8*12)/5 = 96/5 = 19.2
So y directly varies with x, and y=12 when x = 5, then y=19.2 when x=8.
Hope this Helps! :D
