Answer:
6194.84
Step-by-step explanation:
Using the formula for calculating accumulated annuity amount
F = P × ([1 + I]^N - 1 )/I
Where P is the payment amount. I is equal to the interest (discount) rate and N number of duration
For 40 years,
X = 100[(1 + i)^40 + (1 + i)^36 + · · ·+ (1 + i)^4]
=[100 × (1+i)^4 × (1 - (1 + i)^40]/1 − (1 + i)^4
For 20 years,
Y = A(20) = 100[(1+i)^20+(1+i)^16+· · ·+(1+i)^4]
Using X = 5Y (5 times the accumulated amount in the account at the ned of 20 years) and using a difference of squares on the left side gives
1 + (1 + i)^20 = 5
so (1 + i)^20 = 4
so (1 + i)^4 = 4^0.2 = 1.319508
Hence X = [100 × (1 + i)^4 × (1 − (1 + i)^40)] / 1 − (1 + i)^4
= [100×1.3195×(1−4^2)] / 1−1.3195
X = 6194.84
Answer:
A. is correct so, -5
Step-by-step explanation:
Have a good day.
Answer:
Eight times the sum of a number and 2 is equal to 7.
times = multiply
sum = ()
and = +
SO..
8(w + 2 ) = 7
Answer:
<u><em>It has gone -160 miles.</em></u>
Step-by-step explanation:
To find the answer we will <em>multiply -40 by 4 hours</em>, and we get<em> -160 miles</em>. Therefore, the car has <em>traveled -160 miles</em>.
Step-by-step explanation:
Starting from y-intercept of [0, 2], you can either move two blocks <em>north</em><em> </em>over 3 blocks <em>west</em><em> </em>or two blocks <em>south</em><em> </em>over three blocks <em>east</em><em>.</em><em> </em>Either way, you will still get this line because this is a negative <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
**I have a video that explains something like this. It is titled "Finding Slopes, y-intercepts, Perpendicular Equations, and Parallel Equations". I encourage you to watch the video and gain alot more knowledge from it, so you can better understand the concepts.
