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3 years ago

Sam is opening a saving account with $1,500 she got for her birthday. It

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

9 years

Step-by-step explanation:

Simple interest for any amount p is given by

SI = P*R*T/100

where R is the rate of interest

T is the time period in years

given

P =$1500

R = 4%

T we have to find

SI = $540

Thus, putting the given value in SI = P*R*T/100

540 = 1500*4*T/100

T = 540*100/1500*4 = 9 years

Thus, It will take 9 years for Sam to earn $540

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I need help in partial fraction!! With simple explaination would be nice!

WITCHER [35]

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}$

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}$

Now the second term can be decomposed into partial fractions.

$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}$
$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}$
$4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)$
$4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1$
$\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3$
$\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}$

So

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}$

3 0

3 years ago

Solve the problem. Use 3.14 for 4072-07-02-02-00_files/i0170000.jpg, and round your answer to the nearest tenth.

nalin [4]

Volume= (3.14)r^2h
Volume= 3.14 (9.5)^2 5
Volume= 1416.9 ft^3

7 0

3 years ago

A road is inclined at an angle of 5°. After

Scorpion4ik [409]

Answer:

464 feet

Step-by-step explanation:

The Sine of the angle of inclination gives the increase in altitude.

This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e

Sin Ф = Opposite ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

Make O the subject and multiply every fraction by 5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

This is supposed to be to the nearest foot so we round off

464·388 becomes 464 feet

3 0

3 years ago

The intersection of plane R and plane P is

Paraphin [41]

Answer: Line DB

Think of the two planes as pages in a book. They are joined by the spine, which is where the two planes intersect. In this case, that intersection is the line DB.

Point D is on both planes R and S. So is point B. Every point on line DB is found on both planes.

4 0

4 years ago

PLEAS HALP MEH< What angle measure is complementary to a 37° angle

Fynjy0 [20]

The angle measure would be 53°.

Complementary angles add up to 90° so, if you're trying to find the other angle measure just subtract the angle measurement that you already know from 90.

90 - 37 = 53

Hope this helps! :)

4 0

3 years ago

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