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prohojiy [21]
2 years ago
14

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.

Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.. . 638.54 + 159.50 − x ≥ 500; x ≥ $298.04. . 638.54 + 159.50 − x ≥ 500; x ≥ $298.04. . 638.54 − 159.50 + x ≥ 500; x ≥ $20.96. . 638.54 − 159.50 + x ≤ 500; x ≤ $20.96
Mathematics
2 answers:
Vladimir79 [104]2 years ago
7 0
The answer would be <span>638.54 − 159.50 + x ≥ 500; x ≥ $20.96. With the current balanced at $638.54 and a pending withdrawal of $159.50, Malcolm must deposit at least $20.96 to keep the maintaining balance of $500 to avoid a fee.</span>
e-lub [12.9K]2 years ago
5 0
Your answer is c, 638.54 − 159.50 + x ≥ 500; x ≥ $20.96
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If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3
Ghella [55]

Answer:

Joint variation says that:

if x \propto y and x \propto z

then the equation is in the form of:

x = kyz, where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

x=k(yz)           ......[1]

Solve for k;  

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

8=k(4 \cdot 9)

⇒8 = 36k

Divide both sides by 36 we have;

\frac{8}{3}=k

Simplify:

k = \frac{2}{9}

⇒x = \frac{2}{9}yz

to find z when x = 16 and y = 6

Substitute these value we have;

16 = \frac{2}{9} \cdot 6 \cdot z

⇒16 = \frac{12}{9}z

Multiply both sides by 9 we have;

144 = 12z

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

7 0
2 years ago
Read 2 more answers
Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x? StartFraction 2 Over 11 EndFraction plus-or-minus
slamgirl [31]

Answer:

x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

11x^{2} -4x=1  

equate to zero

11x^{2} -4x-1=0  

so

a=11\\b=-4\\c=-1

substitute in the formula

x=\frac{-(-4)\pm\sqrt{-4^{2}-4(11)(-1)}} {2(11)}

x=\frac{4\pm\sqrt{60}} {22}

x=\frac{4\pm2\sqrt{15}} {22}

x=\frac{2\pm\sqrt{15}} {11}

x=\frac{2}{11}\pm\frac{\sqrt{15}} {11}

therefore

StartFraction 2 Over 11 EndFraction plus-or-minus StartFraction StartRoot 15 EndRoot Over 11 EndFraction

7 0
2 years ago
Read 2 more answers
Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance f
sweet [91]

Answer:

999 ft

Step-by-step explanation:

In the picture attached, the drawn of the situation is shown

<u>Data</u>

  • ∠x = 56°
  • ∠y = 81°
  • distance from balloon A to the ground is 1,200 feet

From definition:

tan(∠x) = opposite/adjacent

tan(56°) = 1200/adjacent

adjacent to ∠x = 1200/tan(56°)

adjacent to ∠x = 809.41 ft

tan(∠y) = opposite/adjacent

tan(81°) = 1200/adjacent

adjacent to ∠y = 1200/tan(81°)

adjacent to ∠y = 190.06 ft

The distance from balloon A to balloon B is: 809.41 + 190.06 = 999.47 ≈ 999 ft

8 0
1 year ago
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Weekly demand for a particular item averages 30 units, with a standard deviation of 4. This item is managed with a fixed-order-i
aivan3 [116]

Answer:

(B)93

Explanation:

Since we are using a fixed-order-interval model,

The Amount to Order=Expected Demand During protection Interval+Safety Stock-Amount at Hand

=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A

Where:  

d=weekly demand

OI=Order Interval

LT=Lead Time

z=Standard Deviation of Desired Service Level

\sigma_{d}=Standard Deviation of weekly Demand

A= Amount at Hand

=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A

[30(3 + 1)] + [1.964*4*\sqrt{3 + 1} - 43

= 120 + 15.712 - 43 = 92.7

4 0
1 year ago
Tobias gold sells computers at the office Center he's guaranteed a minimum salary of $1,959 per month plus 6.3% commission on to
ICE Princess25 [194]

Answer:2269.95

Step-by-step explanation:

You would take 1,959 and divide it by 6.3. The answer of that will be added to 1,959. And that's how I got the answer good luck! And I hope that this helps.


Also quick note 2269.95 is how much is made in a month! :)



6 0
2 years ago
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