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Elina [12.6K]
2 years ago
8

How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe

r of years to the
nearest hundredth
see score
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
8 0

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

  t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

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A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price<br> per Ib?
lozanna [386]

Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

8 0
3 years ago
This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round
nasty-shy [4]

<em>Rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Explanation:</h2><h2 />

The aspect ratio is defined as:

<em>"The proportional relationship between the width and height of an image"</em>

It is usually expressed in a mathematical language as:

x:y \\ \\ x: \ Width \\ \\ y: \ Height

So, it is true that:

x:y=5:4 \\ \\ or: \\ \\ \frac{x}{y}=\frac{5}{4} \\ \\ \therefore x=\frac{5y}{4}

In this case, we know that the monitor has a diagonal length (D):

D=19in

So, by Pythagorean theorem:

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4}

D^2=361 \\ \\ 361=x^2+y^2 \\ \\ Since \ x=\frac{5y}{4} \\ \\ 361=\left(\frac{5y}{4}\right)^2+y^2 \\ \\ 361=\frac{25y^2}{16}+y^2 \\ \\ \frac{41}{16}y^2=361 \\ \\ y^2=\frac{261\times 16}{41} \\ \\ y=\sqrt{140.87} \\ \\ y=11.869in

Finding x:

x=\frac{5(11.869)}{4} \\ \\ x=14.836in

<em>Finally, rounded to the nearest tenth of an inch the Witdth of the monitor is 14.8 inches while the Height of the monitor is 11.9 inches.</em>

<h2>Learn more:</h2>

Pythagorean Theorem: brainly.com/question/10182890

#LearnWithBrainly

5 0
3 years ago
Write the sum as a product. simplify the product (-2)+(-2)+(-2)+(-2)
iVinArrow [24]
The answer is -8. hope i helped
4 0
3 years ago
Read 2 more answers
Round each number to the place of the underlined digit.
miv72 [106K]

9514 1404 393

Answer:

  11) 14

  12) 390

  13) 0.5

  14) 497

  15) 496

  16) 1857.21

Step-by-step explanation:

If the digit to the immediate right of the underlined digit is 5 or greater, then the underlined digit is increased by 1 (carrying to higher digits, if necessary). Digits to the right of the underline digit are dropped, or replaced with zero (if they are left of the decimal point).

8 0
2 years ago
Solve 7/3 x 3/7=-2/3(3/7). X=
almond37 [142]

Answer:

x= 2/7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7/3x 3/7=2/3(3/7)

so 2/7

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3 years ago
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