Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.
For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253
For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913
Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)
<h3>
Answer: Choice C) $1,444.50</h3>
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There are two methods to get the answer.
The slightly longer method is to take 7% of the original price to get
7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50
The sales tax is $94.50
Add this onto the original price to get 1,350+94.50 = 1,444.50
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A shortcut is to multiply the original price by 1.07
The multiplier 1.07 represents a 7% increase since
- 1 = 100%
- 0.07 = 7%
- 1.07 = 1 + 0.7 = 100% + 7%
So we will have 1.07*1350 = 1,444.50
Since the graph is a straight line, we know that this equation follows some sort of y = mx + b format.
Let's take the points that are on the axes (-4,0) and (0,-3)
use them to find the slope = (0 - (-3))/(-4 - 0) = 3/(-4) = -3/4
this is our m in the general equations above
we now have y = (-3/4)x + b
b is the y-intercept which is where x = 0 we already have that point in (0,-3)
plug the -3 in for b to give as a final answer:
y = (-3/4)x - 3
P = the money, so...
20 - ( 4 times 3)
20 - 12
8. She has $8 remaining. Hope it helps! I you could vote me brainliest, that would be awesome!
