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Pachacha [2.7K]
4 years ago
9

Mr. Helsley wishes to save atleast $1500 in 12 months. If he saved $300 during the first 4 months, what is the least possible av

erage amount that he must save in each of the remaining 8 months ?
Mathematics
1 answer:
faust18 [17]4 years ago
3 0

Answer:he must save an average of $150 or more in each of the remaining 8 months.

Step-by-step explanation:

Mr. Helsley wishes to save at least $1500 in 12 months. If he saved $300 during the first 4 months, then the amount left would be

≥ 1500 - 300

Let x represent the least possible average amount that he must save in each of the remaining 8 months. This means that the total amount that he would save in the last 8 months would be 8x. Therefore,

300 + 8x ≥ 1500

8x ≥ 1500 - 300

8x ≥ 1200

x ≥1200/8

x ≥ 150

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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r
iren2701 [21]

Answer:

<em />f(x) = 1588.4x + 39000<em />

f(15) = 62826

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

a = \frac{y_2 - y_1}{x_2 - x_1}

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

a = \frac{70768 - 39000}{20 - 0}

a = \frac{31768}{20}

a = 1588.4

Next, is to determine the formula using:

y - y_1 = a(x - x_1)

<em>Considering :When x = 0; y = 39000, we have</em>

<em />y - 39000 = 1588.4(x - 0)<em />

<em />y - 39000 = 1588.4x<em />

<em>Make y the subject of formula</em>

<em />y = 1588.4x + 39000<em />

<em />

<em>Express y as a function of x</em>

<em />f(x) = 1588.4x + 39000<em />

Solving (b): Income in 2005

<em>In 2005, x = 15</em>

So:

f(x) = 1588.4x + 39000 becomes

f(15) = 1588.4 * 15 + 39000

f(15) = 62826

3 0
3 years ago
Expand. Your answer should be a polynomial in standard form. (6x+1)(1-3x)
Ludmilka [50]

Answer:

3x-18x^2+1

Step-by-step explanation:

(6x+1)(1-3x)

6x-18x^2+1-3x

6x-3x-18x^2+1

3x-18x^2+1

Hope this helps :)

3 0
3 years ago
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babymother [125]
0.5 is the correct answer
8 0
3 years ago
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What is 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³ in standar form?
vovangra [49]

The expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

<h3>How to express in standard form?</h3>

The expression is given as:

8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

Collect the like terms

8mn⁵ -mn⁵ - 2m⁶ -4m⁶ + 5m²n⁴ +9m²n⁴+n⁶ - 4m³n³ - m³n³

Evaluate the like terms

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Rewrite in standard form

n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

Hence, the expression in standard form is n⁶ + 7mn⁵ + 14m²n⁴ - 5m³n³ - 6m⁶

Read more about expressions at:

brainly.com/question/723406

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Answer:

D

Step-by-step explanation:

I'm not 100% percent sure but I believe its that one

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