Angle B is HALF of the sum of the two angles it intercepts.
Since it intercepts 48 and 142 degrees, simply add them add divide by 2:
B = (48 + 142)/2
B = 190/2
B = 95
The measure of angle B is 95 degrees.
-T.B.
4,800 that’s the answer for your equation
Answer:
The 6% simple interest account earns more interest in 2 years.
Step-by-step explanation:
You can compare the multipliers in the interest formulas.
For simple interest, the amount in the account (A) starting with principal P and earning at rate r for t years will be ...
A = P(1 +rt)
For the values given, r=.06 and t=2, the multiplier is ...
1 +rt = 1 +.06·2 = 1.12
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For interest compounded annually, the amount will be ...
A = P(1 +r)^t
For the given values, the multiplier is ...
(1+r)^t = (1.04)^2 = 1.0816
__
Since 1.12 > 1.0816, the account earning simple interest will earn more interest.
(100*20*x)*(7.5 gallon/ 1ft^3) = 225,000 gallon
x=225,000/(100*20*7.5)
x=15 ft
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.
