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KATRIN_1 [288]
3 years ago
15

Find the amount of money accumulated if you invested $10,000 at 5.4% interest for 8 years compounded continuously. round your an

swer to the nearest penny.
Mathematics
1 answer:
viktelen [127]3 years ago
7 0
Present value, P = 10000
interest rate, i = 5.4% continuous
Number of periods, n = 8 years

Future value
F=Pe^{it}
=10000e^{.054*10}
=17160.07   to the nearest cent
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Find the smallest zero of f(x+5)
podryga [215]

ANSWER

1. k=13

2. x=-10

EXPLANATION

The given function is

f(x) =  {x}^{2}   + 3x  - 10

To find f(x+5), plug in (x+5) wherever you see x.

This implies that:

f(x) =  {(x + 5)}^{2}   + 3(x + 5) - 10

Expand:

f(x) =   {x}^{2}    + 10x + 25+ 3x + 15- 10

Simplify to obtain

f(x) =   {x}^{2}    + 13x + 30

We now compare with,

f(x) =   {x}^{2}    + kx + 30

This implies that:

k = 13

To find the smallest zero of f(x+5), we equate the function to zero and solve for x.

{x}^{2}    + 13x + 30 = 0

{x}^{2}   + 10x + 3x + 30 = 0

x(x + 10) + 3(x + 10) = 0

(x + 3)(x + 10) = 0

x =  - 10 \: or \: x =  - 3

The smallest zero is -10.

7 0
3 years ago
Read 2 more answers
If y = 4x, what is y if the x = 5?
GREYUIT [131]

Answer:

20

Step-by-step explanation:

Substitute x in y = 4x for 5. So now the equations stands as y = (4)(5). 4 times 5 equals 20

5 0
3 years ago
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A marker is 0.13 m long. What is the length in milliliters
yanalaym [24]

For this case we have:

Note:<em> Milliliter is a unit of volume. It is not possible to convert distance units into volume units. </em>

We must convert the length 0.13 meters to millimeters.

By definition, 1 meter equals 1000 millimeters. That is to say:

1m = 1000mm

Then, applying the rule of three we have:

1m ------------> 1000mm

0.13m --------> x

Where x represents the length of the marker in millimeters.

Resolving:

x = \frac {(0.13 * 1000)} {1}

x = \frac {130} {1}\\x = 130

Thus, the marker measures 130 millimeters long

Answer:

130 millimeters


4 0
3 years ago
alden walked 2 miles in 3/4 hours .kira walked 1 3/4 miles in 30 minutes? who walked at a faster rate?
MissTica

Kira did because by the time she walked for 45 minutes, she would be above 2 miles

7 0
4 years ago
Ashley deposited $4,000 into a savings account that earns 4% simple interest. What is the total amount Ashley will have in her a
ololo11 [35]


answer is 480!!



EXPLANATION: I=PRT

4,000x .04=160.
160x3=480
6 0
3 years ago
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