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Artist 52 [7]
3 years ago
11

John invests $5625 into a savings account with a fixed annual interest rate of 7% compounded continuously. How many years will i

t take for the account to reach $37233.95? Round to the nearest whole number.
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

Step-by-step explanation:

use the formula A=P(1+r)^t

37233.95=56259(1+.07)^t

37233.95=60197.13^t

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How many complex roots does the polynomial equation have? −3x4−7x+17=0
zimovet [89]

1) There are two complex roots. A is correct.

2) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. D is correct

3) There are four complex roots. B is correct.

4) C is correct.

5)

Step-by-step explanation:

1) Number of complex root.

We can not factor it completely. Because it's prime equation. We will make the graph of  and then see the x-intercept of the graph.

Because number x-intercepts are the zeros of polynomial. Please see the attachment for graph. In graph we can see it cuts only two points but their highest degree is 4. Maximum possible roots are 4 but only 2 are real and 2 are complex.  

Thus, There are two complex roots.

2) This is cubic polynomial function.

Maximum number of zeros should be 3.

Please see the graph with attachment.

Zeros is a value of x where graph cuts x-axis. In graph we can see graph cuts x-axis at three points.

Thus, The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

3) This is 4th degree polynomial.

Maximum number of zeros should be 4.

Please see the graph of polynomial.

Zeros is a value of x where graph cuts x-axis. In graph we can see doesn't cut x-axis at any points.

Thus, The function has four complex zeros. The graph of the function does not intersects the x-axis at any point.

4) We are given 3 degree polynomial. We need to factor it. First we split middle term and then factor it.

Now we factor quadratic part using quadratic formula

Complete factor of f(x)

Thus,

5) This is cubic polynomial. We need to factor it.

First we make two group and then factor it

Thus, complete factor of f(x) is (x+3)(x+4i)(x-4i)

8 0
3 years ago
Solve the proportion: 20/16 = x/80 question 19 options: 6.25 1600 100 160
Aloiza [94]
\dfrac{20}{16}=\dfrac{20:4}{16:4}=\dfrac{5}{4}\\\\\dfrac{5}{4}=\dfrac{x}{80}\ \ \ \ |cross\ multiply\\\\4x=5\cdot80\\\\4x=400\ \  \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{x=100}
8 0
3 years ago
Find the total surface area of a cube whose edge is 2 . 1 m
galben [10]

Answer:

Total surface of area =

6l {}^{2}

=6*2.1m

12.6m ^{2}

5 0
3 years ago
Solve for x<br><br> |2x+1| + |3x-4| = 5
son4ous [18]

Answer:

0, 8/5

Step-by-step explanation:

You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)

3 0
3 years ago
Hanna's dad is designing a new rectangular garden for his backyard. He has a 20ft fence to put around the garden. He wants the l
vovangra [49]

Answer:

<em>3 3/4 feet</em>

Step-by-step explanation:

Given

Perimeter of the garden = 20ft

If he wants the length of the garden to be 2 1/2 longer than its width, then;

L = 2 1/2 + W

L is the length

W is the width

Perimeter of the garden = 2(L+W)

P20 = 2(5/2 + W+W)

20 = 5 + 2W+2W

20 - 5 = 4W

15 = 4W

W = 15/4

<em>W = 3 3/4 ft</em>

<em>Hence the width of the garden is 3 3/4 feet</em>

7 0
3 years ago
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