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2 years ago

If the simple interest on $8000 for 3 years is $540, what is the rate of interest per annum?

Mathematics

1 answer:

Tresset [83]2 years ago

6 0

Answer:

2.25%

Step-by-step explanation:

I = Prt

Given:

I = 540

P = 8000

t = 3

Solve for r:

I = Prt

r = I/(Pt)

r = 540/(8000 * 3)

r = 540/24000

r = 0.0225

Rate in percentage form:

0.0225 * 100 = 2.25%

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Step-by-step explanation:

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2 years ago

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2 years ago

Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

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We put it into the second equation.

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We differentiate to get;

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At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

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$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

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2 years ago

If 15% of an item is $18 what is the original price??

stiks02 [169]

Answer:

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Step-by-step explanation:

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2 years ago

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. a. How many times larger is the are

PSYCHO15rus [73]

Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:

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Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²

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Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16

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b) For the scaled copy:

Area of the scaled copy = (1/2) × base × height = 72 unit²

base × height = 144

Since the base and height are equal

base² = 144

base = 12, also height = 12

Base of scaled copy = 12 = 4 × base of triangle A

Therefore the scale factor used is 4

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2 years ago

If the simple interest on $8000 for 3 years is $540, what is the rate of interest per annum?​

If the simple interest on $8000 for 3 years is $540, what is the rate of interest per annum?