At what point in the first quadrant does the line with the equation y=x+2 intersect the circle with radius 6 and center (0,2)

Calculate the future value of $51,123.21, earning interest at a rate of that is compounded daily for 20 years and 2 months (use

mina [271]

The compound interest formula is : $A = P(1+ \frac{r}{n})^n ^t$

where, A= Future value including the interest,

P= Principle amount, r= rate of interest in decimal form,

t= number of years and n= number of compounding in a year

Here, in this problem P= $ 51,123.21 , t= 20 years and 2 months

So, t= 20 + (2/12) years

t= 20 + 0.17 = 20.17 years

As the amount is compounded daily, so n= (12×30)= 360 [Using the traditional Banker’s rule of 30 days per month]

Thus, $A = 51,123.21( 1+ \frac{r}{360})^3^6^0^*^2^0^.^1^7$

$A= 51,123.21 (1+\frac{r}{360})^7^2^6^1^.^2$

When the interest rate is given, then we can use this equation for finding the future value.

3 0

3 years ago

Traveling with the wind, Jerry takes 10 minutes to bicycle to a local library 2.5 km away. Coming back against the wind, it take

olganol [36]

7.5 km/h

Step-by-step explanation:

Let's assign the speed of Jerry in still air as x (in km/h)

Let's assign the speed of the wind as y (in km/h)

With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (we are converting the minutes to hours by dividing by 60);

2.5 / (x + y) = 10/60

10x + 10y = 150

x + y = 15

With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;

2.5 / (x-y) = 15/60

15x – 15y = 150

x – y = 10

We can now solve the simultaneous equation by subtraction;

x + y = 15

x – y = 10

2y = 5

y = 5/2 = 2.5

y = 2.5 km/h

x = 7.5 km/h

Learn More:

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7 0

3 years ago

Please help!

zepelin [54]

9514 1404 393

Answer:

14 minutes

Step-by-step explanation:

Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...

10t -13 = 127 . . . . . equation for minutes to carve

10t = 140 . . . . . . . . add 13

t = 14 . . . . . . . . . . divide by 10

It took Suki 14 minutes to pick out her pumpkin.

5 0

3 years ago

What is the value of the expression? negative two to the sixth power -(six) to the second power Enter your answer in the box.

ziro4ka [17]

-2 ^ 6 -6 ^ 2 .............
-64 -36

5 0

3 years ago

A dealer paid $10,000 for a boat at an auction. At the dealership, a sales person sold the boat for 30% more than the auction pr

DochEvi [55]

Answer: the commission received by the salesperson is $576.9225

Step-by-step explanation:

Let x represent the auction price

At the dealership, a sales person sold the boat for 30% more than the auction price. It means that the amount for which he sold the boat is

x + (30/100 × x)

= x + 0.3x = 1.3x

If the dealer paid $10,000 for a boat at an auction, it means that

1.3x = 10000

x = 10000/1.3

x = 7692.31

The difference between the auction price and the dealer price is

10000 - 7692.31 =$2307.69

The sales person received a commission of 25% of the difference between the auction price and the dealer price. It means that the commission received by the salesperson is

25/100 × 2307.69 = $576.9225

3 0

3 years ago