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Lelechka [254]
3 years ago
13

Question 1 (1 point)

Mathematics
1 answer:
topjm [15]3 years ago
5 0
Answer: (4,-4)

Graph the two equations on a graphing calculator, such as desmos, and see where the two lines intercept.
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You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%
xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20

The present value of your winnings is $102,677.20.

8 0
3 years ago
Christine went shopping and bought each of her eighteight nephews a​ gift, either a video costing​ $14.95 or a CD costing​ $16.8
pogonyaev
So I think you should set up an equation like this: 14.95x+16.88y=131.18 , x+y=8

so x=8-y, plug this into the original equation:
14.95(8-y)+16.88y=131.18
Evaluate: 119.60-14.95y+16.88y=131.18
Combine like terms: 119.60+1.93y=131.18
Subtract 119.60 from both sides. You get: 1.93y=11.58
Divide both sides by 1.93. You get y=6

Plug into second equation: x+y=8 ---> x+6=8 and solve for x. x=2

Christine bought 2 video games and 6 CDs. 14.95(2)+16.88(6)=131.18
4 0
3 years ago
Round your answer to the nearest whole. use Pie as 3.14
sladkih [1.3K]
To find the volume of a cylinder you must use the formula:


πr^2h

1) Plug in your variables
π(3)^2•(11)

2) Solve
~ 311.01 cm^3
3 0
3 years ago
Witch quadrilateral has 2 acute angles,2 obtuse angles,and 2 pairs of parallel lines?
Finger [1]
Um i think that it is a rhoubus 
5 0
3 years ago
Read 2 more answers
Help plssssss<br>1. (x +3) 2<br>2. 6÷2(1+2)<br>3. 15-1(12÷4+1)<br><br><br><br>​
Lisa [10]
1. 2x+7
2. 9
3.11
I help u there aowonxpwkdowiwvbwicbwocbiwcb
5 0
2 years ago
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