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goblinko [34]
3 years ago
13

Daniel opens a savings account and deposits $100 into it. Each year, the amount of money in his account increases by 5%. Use the

drop-down menus to complete an inequality that can be solved to find how much time, t, it will take for there to be at least $500 in Daniel's account.
Mathematics
2 answers:
shtirl [24]3 years ago
5 0

it will take him 33 years to reach $500

Alina [70]3 years ago
4 0

Answer:

500\leq 100(1.05)^t

Step-by-step explanation:

Given,

The initial deposit, P = $ 100,

Annual increasing rate, r = 5 %,

Thus, the amount after t years,

A=P(1+\frac{r}{100})^t

=100(1+\frac{5}{100})^t

=100(1+0.05)^t

\implies A = 100(1.05)^t

According to the question,

A ≥ $ 500

\implies 500\leq 100(1.05)^t

Which is the required inequality that can be used the value of t.

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What are the points of discontinutity y=(x-3)/x^2-12x+27
madreJ [45]

Answer:

(3, -\frac{1}{6})

Step-by-step explanation:

We can rewrite the equation as

y = \frac{x - 3}{(x - 3)(x - 9)}

Notice that we have x - 3 in both the numerator and the denominator, so it looks like we can divide it out. However, what if x - 3 is 0? Then we would have y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for x = 3, but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at x = 3. In the simplified version of the function, if we plug in x = 3, we get

y = \frac{1}{((3) - 9)} = -\frac{1}{6}

So the point (3, -\frac{1}{6}) is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at x = 9 (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of x

5 0
2 years ago
Read 2 more answers
Multiply: (4n + 4)(5n - 8)
marissa [1.9K]

Answer:

5n^2 - 3n - 8

Step-by-step explanation:

4n.5n - 4n.8 + 4.5n - 4.8

= 20n^2 - 32n + 20n - 32

= 20n^2 - 12n - 32

= 4 ( 5n^2 - 3n - 8 )

= 5n^2 - 3n - 8 [ answer ]

7 0
2 years ago
Read 2 more answers
PLS ANSWER TODAY TYSM :p<br><br> -5y+1-3y+2=-9
OLga [1]

We just combine the terms, like this:


-8y = -12


The answer is: y = 1.5 or 3/2.


Hope this helped! c:

7 0
3 years ago
Kailee has 4/5 finished of her math
Helen [10]

Answer:

1/5

Step-by-step explanation:

5/5 - 4/5 = 1/5

6 0
3 years ago
MIKE NEEDS AT LEAST $100 TO BUY A NEW SUIT FOR THE DANCE.
Tanya [424]

Answer:

3x+10 = 100

or

100 - 10 = 3x

6 0
3 years ago
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