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Wewaii
11 days ago
11

Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks for $200.25, $359.45, $125, and $299.35. Then

she deposits $375 into her account.
Penelope’s account balance after she pays her bills and makes the deposit is
Mathematics
2 answers:
Zina [9.1K]11 days ago
8 0

Final answer:

Penelope's final account balance is $850.70.

Detailed breakdown:

Penelope starts with $1,459.75 in her account.

To cover her expenses, she writes checks for $200.25, $359.45, $125, and $299.35.

Adding those amounts gives us -

200.25+359.45+125+299.35=984.05

After all the checks, the remaining balance is 1459.75-984.05=475.70 dollars

Then, she deposits $375 into her account.

Consequently, her updated balance will be =475.70+375=850.70 dollars.

Thus, Penelope's final account balance is $850.70.

Leona [9.2K]11 days ago
8 0
1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70

475.70 + 375.00 = 850.70

After settling the bills and deposit, her account shows a balance of $850.70
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From the information provided,

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Point T is the midpoint of RS, W is the midpoint of RT, and Z is the midpoint of WS. If the length of TZ is x, find the lengths
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Let RS be denoted as y.

Given that T is the midpoint of RS, this results in RT = TS = \frac{y}{2}

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Given that Z is the midpoint of WS.

Meaning WZ = ZS = \frac{WS}{2} = \frac{WT+TS}{2} = \frac{(\frac{y}{4} +\frac{y}{2} )}{2} =\frac{3y}{8}

Consequently, TZ = TS - ZS = \frac{y}{2} -\frac{3y}{8} = \frac{4y-3y}{8} = \frac{y}{8}

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A) Length of RW = \frac{y}{4} = \frac{8x}{4} = 2x

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An image is provided for clarification.

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Answer:

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Solution:

A geometric sequence takes the form [a, ar, ar^2,...]

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The nth term is expressed as [Tn = a * r^(n-1)]

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