All categories

3 years ago

Katie earned $1200 in 8 years on an investment at a 6% annual simple interest rate. How much was Katie’s investment?

1 answer:

8 0

Given
Time = 8 yer a
Rate = 6% = 0.06
Interest earned = $1200
Simple Interest

Let P = the principal (the investment)
Then
P*8*0.06 = 1200
0.48P = 1200
P = 1200/0.48 = $2500

Answer: $2500

You might be interested in

A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e

lbvjy [14]

5 cups of ice, 1.75 pints of sherbet, and 3.5 liters of lemon-lime soda.

5 0

3 years ago

Number 6 part a & b Number 7 Please & thank you

miv72 [106K]

Answer:

6- Part A: $750a+1200r=1000000$

Part B: $1065a+876r=1000000$

Solution of the system: $a\approx521.739\;\;\;\;b\approx507.246$

Step-by-step explanation:

Part A:

In words, the equation is formed like this:

Total kg of Arabica + Total kg of Robusta = Total kg of coffee

Now, the total of each yield is calculated by the product of kg/hectare and number of hectares. Thus, the equation is:

$750a+1200r=1000000$

Part B:

In words:

Arabica's worth + Robusta's worth = plantation worth

Each yield's worth is given by the product of the price per kg and the corresponding production. So, the equation is:

$1.42(750a)+0.73(1200r)=1000000\\1065a+876r=1000000$

3 0

3 years ago

Which of the following represents 5x 4/9 in radical formj

solong [7]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
5x^{\frac{4}{9}}\implies 5\sqrt[9]{x^4}$

3 0

4 years ago

So a man goes to sleep at 8 am and wakes up on the following day and wakes up at 1 am. can you tell me what happened?

Nata [24]

Answer:

He was on an airplane.

Step-by-step explanation:

Hope I helped!

Please mark Brainliest!!!

5 0

3 years ago

Los angeles is 1,744 miles from chicago; chicago is 714 miles from new york; and new york is 2,451 miles from los angeles. The t

klemol [59]

Answer:

170°

Step-by-step explanation:

Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.

A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.

Therefore the angle at Chicago is C.

From cosine rule:

c² = a² + b² - 2ab × cos (C)

2ab × cos (C) = a² + b² - c²

cos (C) = (a² + b² - c²) / 2ab

Substituting:

cos (C) = (1744² + 714² - 2451²) / 2×1744×741

cos (C) = -0.986

C = cos⁻¹ (- 0.986) = 170°

3 0

3 years ago