Sue deposited $3000 in a savings account earning 2% interest over 8 years. What was the total interest Sue earned?

Answers

Answer 1
Answer: Original Interest: I = Prt
                           I = (3000)(0.02)(8)
                           I = (60)(8)
                           I = 480

Simple Interest: A = P(1 + rt)
                          A = 3000(1 + (0.02)(8))
                          A = 3000(1 + 0.16)
                          A = 3000(1.16)
                          A = 3480

Compound Interest: C = P((1 + r)^(n) - 1)
                                C = 3000(1 - 0.02)^(96) - 1)
                                C = 3000((0.98)^(96) - 1)
                                C = 3000(014 - 1)
                                C = 3000(-0.86)
                                C = -2580

Payment Amount: A = P(r(1 + r)^(n))/((1 + r)^(n) - 1)
                             A = 3000((0.02(1 + 0.02)^(96))/((1 + 0.02)^(96) - 1))
                             A = 3000((0.02(1.02)^(96))/((1.02)^(96) - 1))
                             A = 3000((0.02(6.7))/(6.7 - 1))
                             A = 3000((0.134)/(5.7))
                             A = 3000(0.024)
                             A = 72

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A salesperson's weekly paycheck is 50% more than a second salesperson's paycheck. The two paychecks total $1625. Find the amount of each paycheck. (Round your answers to the nearest cent.)

Answers

Answer:

The amount of each person's pay check =

a = First person's pay check = $1083.33

b = Second person's pay check = $541.67

Step-by-step explanation:

Let first sales person's pay check = a

The second sales person's pay check = b

A salesperson's weekly paycheck is

50% more than a second salesperson's paycheck.

Hence,

First pay check (a) = a

Second paycheck (b) = 0.5 of a

= 0.5a

The two paychecks total $1625.

a + b = $1625

a + 0.5a = 1625

1.5a = 1625

a = 1625/1.5

a =$ 1083.3333333

a is approximately = $1083.33

Since

0.5a = b

0.5 × 1083.3333333 = b

$541.66666667 = b

b = approximately = $541.67

Therefore, the amount of each person's pay check approximately to the nearest cent =

a = First person's pay check = $1083.33

b = Second person's pay check = $541.67

Final answer:

The second salesperson's paycheck is $650, while the first salesperson's paycheck is $975.

Explanation:

Let's assume the amount of the second salesperson's paycheck is x. Since the first salesperson's paycheck is 50% more, their paycheck is 1.5x. The total of the two paychecks is $1625, so we can set up the equation: x + 1.5x = 1625.

Combining like terms, we have 2.5x = 1625. Dividing both sides by 2.5, we find that x = 650.

Therefore, the amount of the second salesperson's paycheck is $650, and the amount of the first salesperson's paycheck is 1.5 times that, which is $975.

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Given that j || k, what is the measure of the missing angle?A) 30°
B) 40°
C) 60°
D) 120°

Answers

Answer:

the measure of the missing angle is 60°

Step-by-step explanation:

GIVEN : j || k

solution :

We will use the property of linear pairs


120° + ∠1 = 180° (sum of linear pairs is 180°)


⇒ ∠1 = 180°- 120°


⇒∠1 = 60°

now since j || k

So, we can use corresponding angle properties

So, ∠? = ∠1 (corresponding angles are equal)

⇒∠? = ∠1  = 60°

Thus ? = 60°


60 degrees or C. Since the missing angle is the opposite of the 120 degree angle, 180 degrees minus(since that is the amount of degrees in a straight line, and a circle contains 360 degrees) the other angle gives you your answer.

Three years ago, Jolene bought $550 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 10 1 2 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)

Answers

Answer:

Hence the the value of stock after three years worth $734.44  

Step-by-step explanation:

According to question ,

Jolene bought three years ago, stock in a company worth = $550

The value has been increase after three year at rate of = 10.12 %

So,

The value after three years can be written as

Final value = initial value ( 1 +(Rate)/(100))^(Time)

Or, Final value = $550 ( 1 +(10.12)/(100))^(3)

Or, Final value = $550 (1.102)³

Or, Final value = $550 × 1335

I.e final value = $734.44

Hence the the value of stock after three years worth $734.44  Answer

Factor the coefficient from 1.5a - 4.5.

Answers

The resulting expression is 1.5 times the quantity (a - 3).

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

To factor the coefficient from 1.5a - 4.5, we can first factor out the greatest common factor (GCF) of the two terms.

The GCF of 1.5a and 4.5 is 1.5:

1.5a - 4.5 = 1.5(a - 3)

So, we have factored out the coefficient of 1.5 from the original expression.

The resulting expression is 1.5 times the quantity (a - 3).

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1.5a - 4.5 = 1.5 × a - 1.5 × 3 = 1,5(a - 3)



What is the factoring quadratic expression for 125x^2-100x+20=0

Answers

125x^2-100x+20=0\n\n5(25x^2-20x+4)=0\n\n5[(5x)^2-2\cdot5x\cdot2+2^2]=0\n\n5\cdot(5x-2)^2=0\n\n5(5x-2)(5x-2)=0\iff5x-2=0\n\n5x=2\ \ \ \ /:5\n\nx=0.4
125x^2-100x+20=0\ /:5\n\n25x^2-20x+4=0\ \ \ \Leftrightarrow\ \ \ (5x)^2-2\cdot5x\cdot2+2^2=0\n\n(5x-2)^2=0\ \ \ \Leftrightarrow\ \ \ 5x-2=0\ \ \ \Leftrightarrow\ \ \ 5x=2\ /:5\ \ \ \Leftrightarrow\ \ \ x=0.4

Help pleaseeee 5/7 - 4/3 WILL MARK BRAINLIEST + 13 POINTS

Answers

Answer: -0.619

Step-by-step explanation: