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rjkz [21]
3 years ago
12

Sofia received a 3,000 car loan. She plans on paying off the loan in 2 years. At the end of 2 years, Sofia will have paid $450 i

n interest. What is the simple interest rate on the car loan?
Mathematics
1 answer:
poizon [28]3 years ago
3 0
(So “/” will basically mean divide)
450/3000=0.15
0.15*100=15% rate
You might be interested in
The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a
dezoksy [38]

Answer: -8.93

Step-by-step explanation:

Given the function:

N(X) = 90(0.86)^x+ 69

X in the interval [0, 6]

For X = 0

N(0) = 90(0.86)^0 + 69

90 + 69 = 159

For X = 6

N(6) = 90(0.86)^6 + 69

90(0.404567235136) + 69

= 105.41105116224

Therefore, average change of change in temperature ;

(temp 2 - temp 1) / ( time 2 - time)

(105.41105116224 - 159) / (6 - 0)

= - 53.58894883776 / 6

= - 8.93149147296

= - 8.93

4 0
3 years ago
Please help!
mr Goodwill [35]

Answer:

1. \sqrt{74} ft    2. 50\sqrt{2} yards     3. 5\sqrt{35} units.

Step-by-step explanation:

Pythagorean's Theorem a^2 + b^2 = c^2

A and b are both side lengths, c is the hypotenuse.

7^2 + 5^2 = 74

sqrt(74) is the answer for 1.

30^2 - 5^2 = 875

Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.

There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.

7 0
3 years ago
The area of a piece of pie in the shape of a sector is 7.1 in^2. The angle of the sector is 40°. Round your answers to the neare
Anika [276]
3.14 is the diameter of pie
7 0
3 years ago
An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same
Andru [333]

General Idea:

The volume of cylinder is given by \pi r^{2} h, where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder =\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}

Volume of half cylinder =\frac{576\pi }{2} =288\pi cm^{3}

Step 2: Let x be the number of minutes of filling the sand.

6 cm^{3} of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute= 6*4 cm^{3} = 24 cm^{3}.

8 cm^{3} of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute=24 cm^{3} - 8cm^{3}=16cm^{3}

Volume of sand filled in x minutes = 16x.

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

16x = 288\pi \\ \\ x=\frac{288\pi}{16}  \\ \\ x=18\pi \\ \\ x=57 minutes

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0
3 years ago
The veterinarian’s practice had dog and cats clients. The number of dog clients was 5/6 of the number of cat clients. If the tot
enot [183]

Answer:

Dog Clients = 770

Cat Clients = 154

Step-by-step explanation:

1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.

2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154

5 0
2 years ago
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