System of equations (yay) x=nickels y=dimes
1st x+y=70
2nd .5x+.10y=4.65
3rd Move decimal (multiply everything by 100) : 5x=10y=465
x+y=70
-x -x
y=70-x
(Substitute) 5x+10(70-x)= 465
(Distribute) 5x+700-10x=465
(Solve equation) -5x=-235 >>> x=47 >>>
Answer- 47 dimes and 23 nickels
Please let me know if I need to explain further (:
Answer: -4 will be the answer
Answer: 84.93
Step-by-step explanation:
when you multiply 7.28 by 6 you get 43.68 then when you add 43.68+41.25 you get 84.93
Answer:
y = x - 3
Step-by-step explanation:
Basically, if the lines are parallel, they have the same slope, right? So that part is already complete
And to get the rest of the equation, plug in the points -2 and 1 into the equation for the x values. Then set the equation to solve for b
After you do that you should get b = -3
The slope is 1 and the y-int is -3
Thank me later ;)
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
