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2 years ago

The interest on $2,000 for 2 years is $320. What is the simple interest rate?

1 answer:

7 0

R = 8%/year

Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/2)((2320/2000) - 1) = 0.08
r = 0.08

Converting r decimal to R a percentage
R = 0.08 * 100 = 8%/year

The interest rate required to get a total amount, principal plus interest, of $2,320.00 from simple interest on a principal of $2,000.00 over 2 years is 8% per year.

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Ellie ran 4x + 5 miles today and 3x – 2 miles

kompoz [17]

Answer:

Step-by-step explanation:

4x+5+3x-2=31

7x+3=31

7x=28

x=4

5 0

3 years ago

Read 2 more answers

NEED HELP ASAP!!!!!!!!!!!

zhenek [66]

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

$sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}$
$cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}$
$tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}$

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ $sin(x)=\frac{BC}{AB}$

∴ $sin(x)=\frac{12}{13}$

∴ $x=sin^{-1}(\frac{12}{13})$

∵ $cos(x)=\frac{AC}{AB}$

∴ $cos(x)=\frac{5}{13}$

∴ $x=cos^{-1}(\frac{5}{13})$

∵ $tan(x)=\frac{BC}{AC}$

∴ $tan(x)=\frac{12}{5}$

∴ $x=tan^{-1}(\frac{12}{5})$

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Lana draws a triangle( LMN) on the coordinate plane. What is the perimeter of the triangle( LMN)? Round to the nearest unit.

lys-0071 [83]

Answer:

The answer is "25".

Step-by-step explanation:

Please find the graph in the attachment.

$Longest \ side= 12$

Calculating the triangle two other sides:

$=\sqrt{3^2+6^2}\\\\=(9+36)\\\\=45$

let

$\to \sqrt{45}= 6.7.\\\\\to 6.7\times 2=13.4\\\\\to 13.4+12=25.4 \approx 25$

6 0

2 years ago

Find the slope of (1,8) and (-1,-4)

aniked [119]

Answer: slope= 6

Slope intercept equation= y= 6x +2

Step-by-step explanation:

Slope formula: (y2 - y1) ÷ (x2 - x1) > (-4-8) ÷ (-1-1) = -12/-2 or 6

Plug slope (-6) and one coordinate into point slope form: y-1=m (x-1)

where m is slope and (1,8) would be (x,y)

Y-8= 6(x-1) > y-8 = 5x -6 > y= 6x +2

3 0

3 years ago

Mina tossed two number cubes labeled 1 to 6.What is the probability that the sum is equal to 5

julsineya [31]

You can get a 5 this many ways.
2 + 3
3 + 2
1 + 4
4 + 1

That number is 4
the total number of ways you can throw two cubes is 6 * 6 ways.
Of those ways 4 are successful
4/36 = 1/9 <<<< Answer.
B <<<< answer

4 0

2 years ago