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Zinaida [17]
3 years ago
5

Use the continuous change function A(t) = Pe^rt to answer the question.

Mathematics
1 answer:
DedPeter [7]3 years ago
4 0

B

A(6) = 2500 × e^{(0.05(6))} = 2500 × e^{0.3} = $3, 374.65


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A tailor uses
dimaraw [331]

Answer:

2.5 yards

Step-by-step explanation:

75÷30=2.5 yards

Hope this helps!

5 0
3 years ago
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Jose makes $10000 a month plus some money by commission rates. He gets 6% of everything he sells. If Jose sold $59000 worth of i
IgorC [24]

Answer:

$13540

Step-by-step explanation:

Divide 100 from $59000 in which you get 1% of that worth.  If he gets 6% of that commission rate then he would get $3540 since 1% is $590 and you multiply by 6 to get that number.  Since he makes $10000 a month as stated, you would then add the amount $3540 for his salary to get $13540.

3 0
3 years ago
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A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
3 years ago
Given the quadratic function
hjlf

The vertex is (-4,-3)

The axis of symmetry is x=-4

and the transformations are:

5 0
3 years ago
What is the explicit formula for this sequence?
ddd [48]

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

6 0
4 years ago
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