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3 years ago

Find the final amount for a $1500 investment at 5.65% interest compounded daily for 3 years.

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Answer:

1777.05

Step-by-step explanation:

$FV=PV(1+\frac{i}{n})^{nt}\\\\\\1500(1+\frac{.0565}{365})^{365*3}\\\\1500(1.000154)^{1095}\\\\1777.045 =1777.05$

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11x + 6y = 6 then graph the equation

maw [93]

Answer:

Step-by-step explanation:

Use the intercept method of graphing a straight line:

Let x = 0. We get y = 1. This is the y-intercept (0, 1).

Let y = 0. We get x = 6/11. This is the x-intercept (6/11, 0).

Plot both points and then draw a straight line through them.

6 0

3 years ago

1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°

slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation $sin (68) = \frac{18}{h}$ .

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. $sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\$

And finally we have $h=\frac{18}{sin (68)}$ . We input to calculator.

$h=\frac{18}{0.92718} \\h=19.4 feet$

See the attached picture below showing the shore with the boat out at sea and the position of the person.

8 0

3 years ago

Kevin needs to convert 620 millimeters per minute to meters per hour. Which conversion factors should he use?

Annette [7]

Try this option:
1 meter=1000 mm; 1 hour=60 min. From another side: 1 mm=0.001 m. and 1 min=1/60 h.
Using this rule:
620 mm/h=0.06*620 m/h=37.2 meters per hour.

answer: 0.06

7 0

3 years ago

Find the equaton of the line passing through the points (2,11) and (-8, -19) y= ?x ?

antoniya [11.8K]

Find the slope:

(-19 - 11) / (-8 - 2) = (-30/-10) = 3

Find the y intercept:

y = mx + b

11 = 3(2) + b

b= 5

So equation is:

y = 3x + 5

5 0

2 years ago

Radical functions are the inverse functions of exponential functions. <br> A.true <br> B.false

dybincka [34]

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.

4 0

3 years ago