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Tom [10]
3 years ago
8

How do I figure this problem 1/5 > d + 4/5

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0
\frac{1}{5}>d+\frac{4}{5}\ \ \ \ \ \ \ \ |subtract\ \frac{4}{5}\\\\\frac{1}{5}-\frac{4}{5}>d\\\\d
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A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest rate of 6%
kogti [31]

Answer:

  $976,578.71

Step-by-step explanation:

We assume the deposits are made at the <em>beginning</em> of each quarter. The quarterly interest rate is 6%/4 = 1.5%. The number of quarterly payments is 15×4 = 60. The future value of an annuity due is ...

  A = P(1+r)((1+r)^n -1)/r

where r is the quarterly interest rate, n is the number of payments, and P is the payment amount.

  A = $10000(1.015)(1.015^60 -1)/.015 ≈ $976,578.71

The future value is $976,578.71.

6 0
3 years ago
Can anyone help me pls ( if you can, can you do it on paper and post it with the answer)
Alla [95]

Answer:

x = 6

Step-by-step explanation:

44 + 3x = 5x + 2x + 20 transfer like terms to the same side of the equation with the opposite sign:

44 - 20 = 5x + 2x - 3x add/subtract like terms

24 = 4x divide both side by 4

6 = x

8 0
2 years ago
What two numbers multiply to get -36 but add to -16
yarga [219]

Answer:

-18 and 2

Step-by-step explanation:

- 18 x 2 = -36

-18 + 2 = -16

6 0
3 years ago
Read 2 more answers
SOMEONE HELP PLEASE
DaniilM [7]
I believe OD. 154in i’m not sure though
6 0
2 years ago
Read 2 more answers
Is the graph of y = sin(x^4) increasing or decreasing when x = 10? Is it concave up or concave down?
Tanzania [10]
y=\sin(x^4)
\implies y'=4x^3\cos(x^4)
\implies y'=12x^2\cos(x^4)-16x^6\sin(x^4)

At x=10, you have

y'(10)=4000\cos(10^4)

The trick to finding out the sign of this is to figure out between which multiples of \dfrac\pi2 the value of 10^4 lies.

We know that \cos x>0 whenever -\dfrac\pi2+2n\pi, and that \cos x whenever \dfrac\pi2+2n\pi, where n\in\mathbb Z.

We have

10^4=\dfrac{k\pi}2\implies k=\dfrac{2\times10^4}\pi\approx6366.2

which is to say that \dfrac{6366\pi}2, an interval that is equivalent modulo 2\pi to the interval \left(\pi,\dfrac{3\pi}2\right).

So what we know is that 10^4 corresponds to the measure of an angle that lies in the third quadrant, where both cosine and sine are negative.

This means y'(10), so y is decreasing when x=10.

Now, the second derivative has the value

y'=12\times10^2\cos(10^4)-16\times10^6\sin(10^4)

Both \cos(10^4) and \sin(10^4) are negative, so we're essentially computing the sum of a negative number and a positive number. Given that \sin x>\cos x for \pi, and \cos x>\sin x for \dfrac{5\pi}4, we can use a similar argument to establish in which half of the third quadrant the angle 10^4 lies. You'll find that the sine term is much larger, so that the second derivative is positive, which means y is concave up when x=10.
5 0
3 years ago
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