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MariettaO [177]
3 years ago
13

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)

Mathematics
1 answer:
Kay [80]3 years ago
7 0

Answer:

Vud

Step-by-step explanation:

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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 <em>x </em> (in km/h)

Let's assign the speed of the wind as <em>y </em>(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. (<em>we are converting the minutes to hours by dividing by 60</em>);

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:

brainly.com/question/8046928

#LearnWithBrainly

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
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