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RSB [31]
3 years ago
15

Jessica decided to use 15% of her gross income for her down payment for a house. She makes 48,960.00 per year. How much money di

d jessica's budget allow for the down pyment
Mathematics
1 answer:
babymother [125]3 years ago
3 0

Answer:

Down\ payment = 7,344

Step-by-step explanation:

Let x be the amount of 15% of gross income.

Given:

Jessica gross income = 48,960.00

She decided to use 15% amount as down payment.

We need to find the amount of 15% of gross income.

Solution:

Using percentage formula.

percentage = (\frac{Value}{Total\ value})\times 100

Now we substitute 15 in the place of percentage and 48,960 in the place of Total value.

15=(\frac{x}{48960})\times 100

Now, we apply cross multiplication rule.

x= \frac{48960\times 15}{100}

x=48960\times 0.15

x =7,344

Therefore: Down payment is 7,344.

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Oduvanchick [21]

we know that

If (x-8) is a factor of the function f(x)=-2x^{3}+17x^{2}-64

then

x=8 is a root of the function f(x)

therefore

For x=8 the value of the function must be zero

Verify

Substitute the value of x=8 in the function

f(8)=-2(8)^{3}+17(8)^{2}-64

f(8)=-2(512)+17(64)-64

f(8)=-1,024+1,088-64

f(8)=-1,088+1,088

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therefore

<u>the answer is</u>

Yes, (x-8) is a factor of the function f(x)

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3 years ago
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gogolik [260]

Answer:

Step-by-step explanation:

Bringing like terms on one side

4x - x = 7 + 1/2

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x = 7.5/3

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Rachel's biscuits require 0.75 cup of milk for 1 batch. Use dimensional analysis to convert this amount into liters. Use the con
g100num [7]

Answer:

0.75 cup = 0.1763 liters

Step-by-step explanation:

From the question:

Using the conversion factors given in question

We are converting

0.75 cup to liters

Step 1

Convert cups to pint

1 cup = 0.5 pints

0.75 cup = x pints

x = 0.75 × 0.5 pints

x = 0.375 pints

Step 2

Convert pints to Quart

1 pints = 0.5 quart

0.375 pint = x quart

Cross Multiply

x quart = 0.375 × 0.5 quart

x quart = 0.1875 quart

Step 3

Convert from quart

1 quart = 0.94 liter

0.1875 quart = x liter

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x liter = 0.1875 × 0.94 liter

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Approximately to 4 significant figures= 0.75 cup = 0.1763 liters

3 0
3 years ago
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The average of three numbers is 45. two of the numbers are equal. the last number is 89. what are the two missing numbers?
trasher [3.6K]
The average of a set of data is equal to the sum of the values divided by the number of data present. So, if we have three numbers, the average would be:

let x, y and z represent the three numbers
average = x + y + z / 3 = 45

Two number are equal in value, so let x = y. Substituting the value to the expression of average,

45 = x + x + z / 3
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It said that the last number is 89 so z is equal to 89.

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Therefore, the two numbers are both 23.
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3 years ago
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Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total va
Zanzabum
<span>Total = Principal × ( 1 + Rate )^years
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Total = 5,000 * (1.025)^3
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Source:
http://www.1728.org/compint.htm




6 0
3 years ago
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