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Varvara68 [4.7K]
3 years ago
8

Raul opened a savings account with $3,500 . Each week , x , raul pays the dog sitter $25 from his saving account. Write a functi

on, f(x) , that is equal to the amount of money in the account after Raul pays the dog sitter each week .
​
Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

f(x) = -25d + 3,500

Step-by-step explanation:

Raul opened a savings account with $3,500.

Each week, Dale pays the dog sitter $25 from his saving account.

Let d be the number of weeks and f(x) be the function representing the amount of money in the account after Raul pays the dog sitter d weeks.

The amount of money in the Raul's account is decreasing each week by $25, then the slope of the linear function is

Initially, at week d=0, Raul's account has $3,500, so b=3,500.

Write the function's expression in the form

f(x) = md + b

Hence,

f(x) = -25d + 3,500

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3 years ago
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Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get
artcher [175]
The number is 6.25.

We will set up an equation for this.  Let x be the unknown number.  Subtracting 1.05 from it gives us

(x-1.05)

Multiplying the difference by 0.8 would give us

0.8(x-1.05)

Adding 2.84 to the product would give us

0.8(x-1.05)+2.84

Dividing the sum by 0.01 would give us

[0.8(x-1.05)+2.84]/0.01 = 700

We will start working backward, cancelling the division by 0.01 first by multiplying:

([0.8(x-1.05)+2.84]/0.01)*0.01 = 700*0.01

0.8(x-1.05)+2.84 =7

Subtract 2.84 from both sides:
0.8(x-1.05)+2.84-2.84 = 7-2.84
0.8(x-1.05) = 4.16

Use the distributive property on the left side:
0.8*x - 0.8*1.05 = 4.16
0.8x - 0.84 = 4.16

Add 0.84 to both sides:
0.8x - 0.84+0.84 = 4.16+0.84
0.8x = 5

Divide both sides by 0.8:
0.8x/0.8 = 5/0.8
x = 6.25
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3 years ago
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3 years ago
What fractions are equivalent to 1.27 repeated
kramer
<span>Let x equal your repeating decimal. Call this equation x = 1.273
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</span><span>Divide both sides of the equation by 99 to get 126/99.
</span><span>126/99 reduced is to its lowest terms is 1 and 3/11.
</span>
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3 years ago
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