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3 years ago

How much interest is earned on a principal of $316 invested at an interest rate of 9%

Mathematics

1 answer:

anzhelika [568]3 years ago

4 0

Answer:

$130.06

Step-by-step explanation:

Interest is calculated as shown;

I = A - P

A is the amount

P is the principal

Given

Principal = $316

Rate R = 9% = 0.09

Time t = 4yrs

Substiutte and get Amount A

A =P(1+r)^n

A = 316 (1+0.09)^4

A = 316(1.09)^4

A = 316(1.4116)

A = 446.06

Interest = 446.06 - 316

Interest = 130.06

Hence the interest is $130.06

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Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0). Part A: Find the length of each side of the triangle. Sho

deff fn [24]

Answer:

(a) Side lengths

$RS = \sqrt{5}$ $ST = \sqrt{17}$ $RT = \sqrt{18}$

(b) Slope

$RS = \frac{1}{2}$ $RT = 1$ $ST = -4$

Step-by-step explanation:

Given

$R = (2,3)$

$S = (4,4)$

$T = (5,0)\\$

Solving (a): Length of each side

This is calculated using distance formula

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

So, we have:

$RS = \sqrt{(4 - 2)^2 + (4 - 3)^2}$

$RS = \sqrt{5}$

$ST = \sqrt{(5 - 4)^2 + (0- 4)^2}$

$ST = \sqrt{17}$

$RT = \sqrt{(5 - 2)^2 + (0 - 3)^2}$

$RT = \sqrt{18}$

Solving (b): The slope of each side

This is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$RS = \frac{4- 3}{4- 2}$

$RS = \frac{1}{2}$

$RT = \frac{0 - 3}{5- 2}$

$RT = \frac{ - 3}{- 3}$

$RT = 1$

$ST = \frac{0 - 4}{5- 4}$

$ST = \frac{- 4}{1}$

$ST = -4$

Solving (c): Classify the triangle

In (a), we have:

$RS = \sqrt{5}$

$ST = \sqrt{17}$

$RT = \sqrt{18}$

None of the sides are equal;

The triangle is scalene

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NNADVOKAT [17]

Step-by-step explanation:

Opt . C) 40⁰ is the answer .....

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2 years ago

What are the next 2 words in the pattern? half dollar, quarter, dime...

OleMash [197]

Answer:

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Step-by-step explanation:

The given pattern is

half dollar, quarter, dime...

This is a part of the pattern of US coins.

The pattern of US coins in decreasing order is

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It is clear that the next 2 words in this pattern after dime are nickel and penny.

Therefore, the required 2 words are nickel and penny.

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3 years ago

In the equation A = bh,<br> СС<br> what does each of the<br> variables stand for?

marshall27 [118]

Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

I have no idea if I'm doing it right but my guess would be to take the values that we get from f(x) and g(x) when x = 1. Therefore we get that f(x) is equal to 4 and g(x) is equal to -1. We than just do f/g which is 4/-1 which gives us the final answer of -4 which is option B.

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2 years ago