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Answer:
The certificate will be worth $5,559.92 on Ruth's 19th birthday.
Step-by-step explanation:
The compound interest formula is given by:

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
In this problem, we have that:

So


The certificate will be worth $5,559.92 on Ruth's 19th birthday.
The linear equation to model the company's monthly expenses is y = 2.5x + 3650
<em><u>Solution:</u></em>
Let "x" be the units produced in a month
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.
Cost per unit = $ 2.50
The company has monthly operating expenses of $350 for utilities and $3300 for salaries
We have to write the linear equation
The linear equation to model the company's monthly expenses in the form of:
y = mx + b
Cost per unit = $ 2.50
Monthly Expenses = $ 350 for utilities and $ 3300 for salaries
Let "y" be the total monthly expenses per month
Then,
Total expenses = Cost per unit(number of units) + Monthly Expenses

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650
Answer:
Answer: scale factor = 1.5 Step-by-step explanation: Given: Triangle ABC is a scaled copy of triangle DEF. Side AB = 12 cm and is the longest side of ABC. Side DE = 8 cm and is the longest side of DEF. AB is corresponds DE (longest side of both triangles) So, Hence, the scale factor = 1.5.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3943753-triangle-abc-is-a-scaled-copy-of-triangle-def-side-ab-measures.html
Step-by-step explanation:
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