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mestny [16]
2 years ago
13

Holly is trying to save $25,000 to put a down payment on a condominium. If she starts with $10,000 saved and saves an additional

$750 each month, which equation represents how far Holly is from her goal of reaching $25,000? Let x stand for months and y stand for dollars.
Mathematics
1 answer:
postnew [5]2 years ago
6 0

Answer:

15000 - 750x

Step-by-step explanation:

Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.

Let

y = dollars

x = number of months

Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .

The amount will also be reducing by $750 per month

Therefore,

How far she is from her goal can be represented with the equation

15000 - 750x

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3.Transitive Property Of Congruence

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The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section
LUCKY_DIMON [66]

Answer:

y2 = C1xe^(4x)

Step-by-step explanation:

Given that y1 = e^(4x) is a solution to the differential equation

y'' - 8y' + 16y = 0

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Let

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Because y2 is a solution to the differential equation, it satisfies

y2'' - 8y2' + 16y2 = 0

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y2' = u'e^(4x) + 4ue^(4x)

y2'' = u''e^(4x) + 4u'e^(4x) + 4u'e^(4x) + 16ue^(4x)

= u''e^(4x) + 8u'e^(4x) + 16ue^(4x)

Using these,

y2'' - 8y2' + 16y2 =

[u''e^(4x) + 8u'e^(4x) + 16ue^(4x)] - 8[u'e^(4x) + 4ue^(4x)] + 16ue^(4x) = 0

u''e^(4x) = 0

Let w = u', then w' = u''

w'e^(4x) = 0

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w = C1

But w = u'

u' = C1

Integrating again, we have

u = C1x

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5 0
2 years ago
A. One day Annie weighed 24 ounces more than Benjie, and Benjie weighed 3 1/4 pounds less than Carmen. How did Annie’s and Carme
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<h2>Answer:</h2>

A.

Let Annie's weight be = a

Let Benjie's weighs = b

Let Carmen's weight be = c

One day Annie weighed 24 ounces more than Benjie, equation forms:

a=b+24        ......(1)

Benjie weighed 3 1/4 pounds less than Carmen.  

In ounces:

1 pound = 16 ounces

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b=c-52  or

c=b+52    ......(2)

Now adding (1) and (2), we get

a+b=b+24+c-52

=> a=c-28

This gives  Annie weighs 28 ounces less than Carmen.

B.

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2 years ago
Find the sequence.. <br> 1,2,2,4,8
AlladinOne [14]
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2 years ago
1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall
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Answer:

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Step-by-step explanation:

The difference in height can be found using subtraction.

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To find out how many times taller Porter is than Henry, we can use division.

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Using our values, n and m, we'll divide n by m.

\frac{n}{m}

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