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PSYCHO15rus [73]
3 years ago
8

Victor malaba has a net income of $1,240 per month if he spends $150 on food, $244 on a car payment, $300 on rent, and $50 on sa

ving what percent of his net income can he spend on other things
Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0
1,240 -150+244+300+50=496
744/1240=31/35
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Round 75.4614 to the nearest thousandth
Anna11 [10]
75.4614\approx75.461
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3 years ago
In the figure, line segment VR is parallel to line segment US and m<1 = 45 degrees what is m<4?
Jobisdone [24]

The measure of ∠4 is 45°.

Solution:

Line segment VR is parallel to the line segment US.

m∠1 = 45°

∠1 and ∠4 are corresponding angles.

<em>If two lines are parallel, then the corresponding angles are congruent.</em>

m∠1 = m∠4

45° = m∠4

m∠4 = 45°

The measure of ∠4 is 45°.

3 0
3 years ago
a number cube with sides labeled 1-6 is rolled 2 times and the sum of the numbers that end face up is calculated. what is the pr
dybincka [34]
<span>Success patterns: 1/6 ; 2/5 ; 3/4 ; 4/3 ; 5/2 ; 6/1
P(sum = 6) = 6/36 = 1/6</span>
8 0
3 years ago
Evaluate each expression for the given value(s)
Butoxors [25]

Answer:

-16

Step-by-step explanation:

Substitute the values into the equation

=  \frac{ ({ - 12 + 4}^{2}) }{ - 4}  \\  = \frac{ {( - 8)}^{2} }{4}  \\  = \frac{64}{4}  \\  =  - 16

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

4 0
3 years ago
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
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