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SpyIntel [72]
2 years ago
9

If the simple interest on ​$1000 for 9 years is ​$630​, then what is the interest​ rate?

Mathematics
2 answers:
nalin [4]2 years ago
4 0

Answer:

0.07 or 7%

Step-by-step explanation:

I = Prt

630 = (1000)(9)r

630 = 9000r

r = 0.07

alina1380 [7]2 years ago
4 0

Step-by-step explanation:

Simple interest (SI) = $ 630

Time (T) = 9 years

Principal (P) = $ 1000

Rate (R) = ?

We know

si  =  \frac{ptr}{100}  \\630  = \frac{1000 \times 9 \times r}{100}  \\ 630 = 90r \\  r \:  =  \frac{630}{90}   \\  = 7\%

Therefore the rate of interest is 7%.

Hope it will help :)❤

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28×12 what is the answer ​
Simora [160]

Answer:336

Step-by-step explanation:

6 0
3 years ago
A rectangle has vertices H(3,0), I(3,7), J(6,7) , and K(6, 0) . Use the coordinates to find the perimeter of the rectangle. _uni
Paul [167]

Answer:

20 units

Step-by-step explanation:

Plot points on a graph. doesn't have to be to scale. check co-ordinates differences and add up. see image.

4 0
2 years ago
Three guinea pigs living in the same cage need at least 12 square feet of living spàce.Is a cage that measure 3 feet by 5 feet b
Arte-miy333 [17]
Yes, there is enough space . If the guinea pigs need 12 feet, and 5*3= 15 feet  then they have enough.
( idk if means 12 feet of living space for each or all 3 , but here i hope it helps :) )
8 0
3 years ago
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shows cost 44 a pair what is the total coast o
MatroZZZ [7]

Answer:

240.

Step-by-step explanation:

Here is the correct question: Three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shoes cost 44 a pair. what is the total cost of the new outfits for all of the sisters​?

Given: Cost of each shirt is 11

           Cost of each skirts coat is 25

           Cost of each pair of shoes cost is 44.

Now, finding total cost of shirt, skirt coat and shoes as cost of one new outfit.

= 11+25+44 = 80

∴ Total cost of one new outfit is 80.

Next, finding cost of new outfit for all, three sisters.

Cost of new outfit for three sister = \textrm { cost of one outfit}\times \textrm{ number of sisters}

∴ Cost of new outfit for three sister = 80\times 3= 240

240 is the total cost of new outfit for all the sisters.

         

3 0
3 years ago
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