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kirill115 [55]
3 years ago
8

The total value of the money in her piggy bank is $7.75. If Brielle has 63 nickels, write and solve a linear equation to find th

e number of dimes she has
Mathematics
1 answer:
Nataly [62]3 years ago
4 0
Didhzhsuwuebxhxhudsdhdhdidee
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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price
likoan [24]

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

<u>Exponential Function</u>

General form of an exponential function: y=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

<u>Part A</u>

<u>Product A</u>

Assuming the function for Product A is <u>exponential</u>:

f(x) = 0.69(1.03)^x

The base (b) is 1.03.  As b > 1 then it is an <u>increasing function</u>.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, <u>product A is increasing by 3% each year.</u>

<u>Part B</u>

\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%

Check using different two consecutive values of f(t):

\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%

Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

  • a = 10,100
  • b = 1.01
  • n = t - 1 (as the initial value is for t = 1 not t = 0)

\implies f(t) = 10100(1.01)^{t-1}

To check this, substitute the values of t for 1 through 4 into the found function:

\implies f(1) = 10100(1.01)^{1-1}=10100

\implies f(2) = 10100(1.01)^{2-1}=10201

\implies f(3) = 10100(1.01)^{3-1}=10303.01

\implies f(4) = 10100(1.01)^{4-1}=10406.04

As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>

4 0
2 years ago
Theresa earned scores of 88 points, 84 points, 88 points, and 91 points on four tests. What is the lowest score she can get on t
Yanka [14]
So u will do 88+84=172+88=260+91=351 and that is all four tests added up now u have to divide the answer by 4 because it was four tests averages
351/4=87.75 wich is aproxamately 88 
so with all four of them added wich is 351 u will add the answer choices so 351+96=447/5=89.4 wich is aproxamately 89
351+97=448/5=89.6 wich is aproxamately 90
351+98=449/5=89.8 wich is aproxamately 90
351+99=450/5=90
so i would say that 99 points is the one she needs to score because it isnt asking for aproxamately 
so it is 99 points
6 0
2 years ago
Read 2 more answers
A right triangle has side lengths a,b, and c as shown below. Use these lengths to find sin x, tan x, and cos x.
My name is Ann [436]

Step-by-step explanation:

sinx = a/b

tanx= a/c

cosx= c/b

6 0
3 years ago
Ill give brainlist please i beg ulol
denis23 [38]
GHE i think because it’s the same degrees
5 0
3 years ago
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Jorani flips two standard American quarters. How many ways can she get at least one head?
Dennis_Churaev [7]
<span>When flipping two standard American quarters, there are four independent possible outcomes: -Tails, tails -Heads, heads -Heads, tails -Tails, heads Looking, then, at these four outcomes, there are three of those that include at least one head. As such, the answer to this question is three possibly different ways for her to achieve the desired outcome.</span>
4 0
2 years ago
Read 2 more answers
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