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marysya [2.9K]
1 year ago
9

At what rate of simple interest will $2800 amount to $3500 in 2 years 3 months

Mathematics
1 answer:
777dan777 [17]1 year ago
7 0

Answer:

11.11% (nearest hundredth)

Step-by-step explanation:

<u>Simple interest formula</u>

A = P(1 + rt)

where:

  • A = final amount
  • P = principal
  • r = interest rate (in decimal form)
  • t = time (in years)

Given:

  • A = $3500
  • P = $2800
  • t = 2 years 3 months = 2.25 years

Substitute given values into the formula and solve for r:

⇒ 3500 = 2800(1 + 2.25r)

⇒ 3500 = 2800 + 6300r

⇒ 700 = 6300r

⇒ r = 1/9

Convert the interest rate into a percentage:

⇒ r × 100% = 1/9 × 100% = 11.11% (nearest hundredth)

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Answer:

Slope is positive for all x, so always increasing

Step-by-step explanation:

Increasing/decreasing depends on the slope of the function, which is f'

f'(x) = 9x² + 18x + 25

If f'(x) > 0 for all x, then his claim is correct (increasing for all x)

If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect

f'(x) is a quadratic function.

9x² + 18x + 25

9(x² + 2x) + 25

9(x² + 2(x)(1) + 1² - 1²) + 25

9(x + 1)² - 9 + 25

9(x + 1)² + 16

Since the minimum value of f' is 16, it's always positive.

Hence, the claim is correct

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Find the z-scores that bound the middle 74% of the area under the standard normal curve.
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P (left) = 0.13

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At this P values, the z scores are approximately:

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Find the difference quotient off, that is, find fly+h)-f(x) h h#0, for the following function. Be sure to simplify. f(x) = x^2 -
Sloan [31]

The difference quotient for the function f(x) is h+2x-7

Given :

Difference quotient formula

\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}

Given function f(x) = x^2 - 7x + 8

find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8

Now replace it in our formula and also replace f(x)

\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7

Learn more :brainly.com/question/23630564

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