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Mrrafil [7]
1 year ago
15

Massa says that 540 ÷ 6 = 9. Is he right? Explain how you know using an equation.

Mathematics
1 answer:
Masteriza [31]1 year ago
7 0

Both sides of the equation are not equal, therefore, Massa was wrong.

<h3>How to Evaluate an Equation?</h3>

For an equation to be correct, the values on both sides of the equation must be equal and balance.

Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.

Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.

Learn more about equations on:

brainly.com/question/25678139

#SPJ1

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PLS HELP ME
Anuta_ua [19.1K]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

A = P(1+ \dfrac{r}{n})^{nt}

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is

\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}

                                                     = $69,131.44

Hence, Mike's account balance after 21 years is $69,131.44.

Learn more about Compound Interest:

brainly.com/question/25857212

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3 0
1 year ago
1/2 y-1/3 x-1=0 in general form ax+by+c=0
patriot [66]

3x + 2y = 8

2y = –3x + 8

y= -3/2 x+4

​  

m= -3/2

4 0
3 years ago
Read 2 more answers
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
I need help on these questions can u make sure u do all of them cuz some people just only do one problem.
ioda
Tuesday
1. positive
2. negative

thursday
she will pay $51.60

i’m sorry the second picture won’t load on my end
8 0
2 years ago
Assume the population of regulation basketball weights are normally distributed with a mean of 22 and a standard deviation of 1
ankoles [38]

Answer: 0.0228

Step-by-step explanation:

please check photo explanation

6 0
3 years ago
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