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Butoxors [25]
3 years ago
13

A bank representative studies compound interest so she can better serve customers. She analyzes what happens when 2,000 earns se

veral ways at a rate of 4% for 3 years
Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

Final amount = 25,407.4

Step-by-step explanation:

A = P ( 1 + \frac{r}{t} )n^{}

A = final amount

P = initial principal balance

r = interest rate

t = number of times interest applied per time period

Here P = 2000

r = 4 %

n = 3 years

A = 2000( 1 + \frac{4}{3} )³

    = 2000( \frac{7}{3} )³

   = 2000 × \frac{343}{27}

   = 25,407 .4

Final amount = 25,407.4

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Solve for X then find the measure of
Savatey [412]

Answer:

x=11

m<a=80º

m<b=80º

Step-by-step explanation:

They are congruent so

8x-8=5x+25

8x=5x+33

3x=33

x=11

6 0
3 years ago
Read 2 more answers
Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
Read 2 more answers
Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5 years?
belka [17]
Joe would be paying $700 in 5 years time.

Explanation:

($2,000)(0.07/year)(5 years)
= ($2,000)(0.07)(5)
= $700
8 0
3 years ago
Read 2 more answers
Find sin(2x), cos(2x) and tan (2x) from the given information. cot(x)=2/3, x in quadrant I
Usimov [2.4K]

Answer:

1.) 6√13/13

2.) 4√13/13

3.) 3

Step-by-step explanation:

given that cot(x) = 2/3

But cot(x) = 1/tan(x)

Substitutes 1/tan(x) for cot(x)

1/tan(x) = 2/3

Reciprocate both sides

Tan(x) = 3/2 = opposite/adjacent

Use pythagorean theorem to find the hypothenus.

Hypothenus = sqrt ( 3^2 + 2^2 )

Hypothenus = sqrt ( 9 + 4 )

Hypothenus = sqrt (13)

Hypothenus = √13

1.) Sin(x) = opposite/hypothenus = 3/√13

Rationalise

3/√13 × √13/√13

3√13/13

Sin(2x) = 2 × 3√13/13

Sin(2x) = 6√13/13

2.) Cos( x ) = adjacent/hypothenus

Cos (x) = 2/√13

Rationalise

2/√13 × √13 /√13

2√13/13

Cos(2x) = 2 × 2√13/13

Cos(2x) = 4√13/13

3.) Tan (x) = 3/2

tan (2x) = 2 × 3/2

Tan(2x) = 3

4 0
3 years ago
The perimeter of a semicircle is 20.56 yards. What is the semicircle's radius?
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Perimeter = 20.56mm

Given the perimeter, find the diameter

= 20.56

D = 20.56 ÷

D = 6.54 mm

Perimeter of the Semicircle = half the circle arc + the straight line (Diameter)

Semicircle = 0.5(20.56) + 6.54cm

Semicircle = 16.83mm

7 0
3 years ago
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