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3 years ago

Find the value of an investment of $15,000 for 13 years at an annual interest rate of 4.55% compounded continuously.

Mathematics

1 answer:

atroni [7]3 years ago

4 0

Answer:

A = $27100.5

Step-by-step explanation:

We are given;

Principal: P = $15,000

Interest rate: r = 4.55% = 0.0455

Time in years: t = 13 years

The formula for the value of the investment after t years of continuous compounding is;

A = P(e^(rt))

A = 15000(e^(0.0455 × 13))

A = 15000 × 1.8067

A = $27100.5

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This is a 3 part question, PLEASE HELP ILL GIVE BRAINLY

kaheart [24]

Answer:

Angle of A = 90 degree-62 degree = 28 degree.

Step-by-step explanation:

tan (62) = opposite / adjacent = 10 / a ---> a = 10/tan (62) = 10/ 1.88 = 5.319

cos (62) = a/c --->c = a/cos (62) = 5.319 / 0.47 = 5.3 / 0.47 = 11.3

or another way.

sin (62) = 10 /c ---> c = 10/ sin (62) = 10 / 0.88 = 11.3

So Angle of A = 28 degree.

a = 5. 3

c = 11.3.

please give me brainliest. I hope it help.

7 0

3 years ago

The rule for Function A is y= -2/3x

Rom4ik [11]

Answer:

Both functions have negative rates of change

Function B has a greater rate of change than Function A

Step-by-step explanation:

we know that

Function A

The rule for Function A is

$y=-\frac{2}{3}x$

This is the equation of a proportional relationship (the line passes through the origin)

The slope is equal to $m=-\frac{2}{3}$

Function B

Find the equation of the function B

we have the points (-2,0) and (0,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-2-0}{0+2}$

$m=\frac{-2}{2}$

$m=-1$

The equation of the function B in slope intercept form is equal to

$y=mx+b$

we have

$m=-1\\b=-2$

substitute

$y=-x-2$

Verify each statement

Option 1) Both functions have negative rates of change

The statement is true

Because, the rate of change is the slope of the linear equation

Function A ----> $m=-\frac{2}{3}$

Function B ----> $m=-1$

Option 2) Both functions have the same rate of change.

The statement is false (see the explanation)

The rate of change are different ( m=-2/3 and m=-1)

Option 3) When graphed, Function A and Function B are parallel

The statement is false

When graphed, Function A and Function B are intersecting lines, because their slopes are different

Option 4) Function B has a greater rate of change than Function A

The statement is true

Remember that the rate of change can be either positive (increasing function) or negative (decreasing function). To find out which function has a greater rate of change, compare the absolute value of their slopes

therefore

1 > 2/3

6 0

3 years ago

Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A.

AysviL [449]

Answer:

The exact value of sin A is opp/hyp = -12/13

Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or

y = -√(13^2 - 25) = -√144 = 12.

The exact value of sin A is opp/hyp = -12/13

6 0

3 years ago

The expression 2.85+2.70M gives the taxi fare in dollars for a trip of M miles. On Thursday you got a find Miss Hearst took a ta

horrorfan [7]

Answer:

Total fair of the two trips was $32.7

Explanation:

We are given that the expression that taxi fair is:

2.85 + 2.7M where M represents the number of miles

1- For Thursday:

Number of miles covered = M = 6 miles

Substitute with M=6 in the given equation to get the fair on Thursday as follows:

Fair on Thursday = 2.85 + 2.7(6) = $19.05

2- For Friday:

Number of miles covered = M = 4 miles

Substitute with M=4 in the given equation to get the fair on Friday as follows:

Fair on Friday = 2.85 + 2.7(4) = $13.65

3- The total fair:

Total fair = fair on Thursday + fair on Friday

Total fair = 19.05 + 13.65 = $32.7

Hope this helps :)

4 0

3 years ago

Find the area of the shaded region.

Natali [406]

Answer:

3.315

Step-by-step explanation:

$\frac{1}{2} \times 1.7 \times 3.9 = 3.315$

7 0

2 years ago