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trapecia [35]
2 years ago
12

Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment.

After one year, he has $164.80. What is the simple percent interest per year?
Mathematics
2 answers:
Step2247 [10]2 years ago
8 0

Answer:

The answer is 3%

Step-by-step explanation:

1.) $160 divided by $164.80 = 1.03

2.) 1.03 x 100 = 103

3.) 103 - 100 = 3

4.) 164.80 - 160 = 4.80

5.) 4.80 divided by 160 = 0.03

6.) 0.03 x 100 = <em>3%</em>

natita [175]2 years ago
6 0
Answer: 1.03% Explanation: Divide the amount of money after 1 year by his original investment.
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Is this a right triangle?<br> 15 m, 36 m, 39 m
Vesnalui [34]

Answer:

YES

Step-by-step explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

5 0
3 years ago
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How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
If a parking lot holds 1,600 cars and fills 3/4 of its spaces, how many spaces are filled?
AnnyKZ [126]

The total space in the parking lot is 1600 cars

It is mentioned that \frac{3}{4} parts of this parking is filled

Now we are required to find what is the three-fourths part of 1600

To find it we multiply \frac{3}{4} times 1600

\frac{3}{4}  X 1600

= \frac{3X1600}{4}

=\frac{4800}{4}

= 1200 cars

Hence 1200 cars fills the three-fourths of the car parking lot that has a capacity of 1600 cars

8 0
3 years ago
Read 2 more answers
6h + 4 = 8 solve for h
Greeley [361]

Answer: h=4/6

Step-by-step explanation:

6h=8-4

6h=4 /:6

h=4/6

6 0
3 years ago
What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

7 0
2 years ago
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