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GuDViN [60]
3 years ago
11

If ​$450 is invested for one year at 55​% simple​ interest, how much interest is​ earned?

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
5 0
I think it is 550. 65
BartSMP [9]3 years ago
3 0

Answer:

$247.50

Step-by-step explanation:

You didn't specify, so I am going to assume that it is annual, or yearly, interest.

You want to calculate the interest on $450 at 55% interest per year after 1 year.

The formula we'll use for this is the simple interest formula, or:

I= P × r × t

Where...

P equals the principal amount, which is $450.00.

r equals the interest rate, which would be 55% per year, or as a decimal, 55/100=0.55.

t equals time involved, which is 1 year

To find the simple interest, we multiply 450 × 0.55 × 1 to get that the interest is $247.50

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Which graph best represents the relationship between time and the number of teams registered?
alexdok [17]
<h2>Explanation:</h2><h2></h2>

The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:

x:\text{Time} \\ \\ y:\text{Number of teams registered}

We also know that each week 6 teams register to participate, so:

\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}

As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:

y=6x

In conclusion, <em>the linear model (first graph below) is the one that bests represents  the relationship between time and the number of teams registered.</em>

7 0
3 years ago
4) What is the total cost (tax and price) on a purchase of $108.50 if the sales tax is 8%?
vitfil [10]
Answer: C)$117.18

$108.50 X 1.08 = $108.50
4 0
2 years ago
A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.
Svetradugi [14.3K]
I cannot see the table. But if I could that would be helpful.

But, if you were to look at the table see if the numbers are increasing or decreasing for the y column. Once you figure this out, find out how much the numbers are increasing/decreasing by and that should be the answer for the constant of proportionality. If it is decreasing, it would be a negative number. If it is increasing, it would be a positive number.
7 0
3 years ago
3/4-(-7/6) Write your answer in simplest form.​
allsm [11]

Answer:

\frac{3}{4}  - ( -  \frac{7}{6} ) \\  =  \frac{3}{4}  +  \frac{7}{6}  \\  =  \frac{23}{12}  \\  = 1 \frac{11}{12}

6 0
2 years ago
The sum of the squares of two consecutive positive integers is 41. Find the two
Komok [63]

We have to present the number 41 as the sum of two squares of consecutive positive integers.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

16 + 25 = 41

<h3>Answer: 4 and 5</h3>

Other method:

n, n + 1 - two consecutive positive integers

The equation:

n² + (n + 1)² = 41     <em>use (a + b)² = a² + 2ab + b²</em>

n² + n² + 2(n)(1) + 1² = 41

2n² + 2n + 1 = 41     <em>subtract 41 from both sides</em>

2n² + 2n - 40 = 0     <em>divide both sides by 2</em>

n² + n - 20 = 0

n² + 5n - 4n - 20= 0

n(n + 5) - 4(n + 5) = 0

(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0

n = -5 < 0 ∨ n = 4 >0

n = 4

n + 1 = 4 + 1 = 5

<h3>Answer: 4 and 5.</h3>
7 0
2 years ago
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