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bekas [8.4K]
3 years ago
9

the interest on an investment varies directly as the rate of of interest. if interest is $47 when interst rate is 5% find the in

terest when interest rate is 5.2%
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0

Answer:

The interest when rate is 5.2% is $48.88

Step-by-step explanation:

if interest (I) varies directly as interest rate (R)

Then

I ∝ R

I=cR

c= constant

if interest is $47 when interest rate is 5%

47 =.05c

c = 940

if interest rate is 5.2% then

I = 940 x .052

=48.88

=$48.88

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Write the equation of a circle centered at the
Fudgin [204]

Answer:

(x+4)^2+(y+6)^2=100

Step-by-step explanation:

Given a circle centred at the point P(-4,-6) and passing through the point

R(2,2).

To find its equation, we follow these steps.

Step 1: Determine its radius, r using the distance formula

For point P(-4,-6) and R(2,2)

\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10

Step 2: Determine the equation

The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: (x-h)^2+(y-k)^2=r^2

Centre,(h,k)=P(-4,-6)

r=10

Therefore, the equation of the circle is:

(x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100

3 0
2 years ago
A number to the 9th power divided by the same number to the 6th power equals 64. What is the number?
Vika [28.1K]
Use an equation:
x^9/x^6=64
x^(9-6)=64
x^3=64
x=4

note that x^9 means "x to the power of 9", same with other ones

the number is 4.
5 0
3 years ago
Polygon Q's area is what fraction of Polygon P's area?
bearhunter [10]

Answer:

1/4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Three different golfers played a different number of holes today. Rory played 999 holes and had a total of 424242 strokes. Alici
Marat540 [252]

Golfer had the lowest number of strokes per hole is <u>Alicia </u> = 4.

<u>Step-by-step explanation:</u>

We have , Three different golfers played a different number of holes today. Rory played 999 holes and had a total of 424242 strokes. Alicia played 181818 holes and had a total of 797979 strokes. Rickie played 272727 holes and had a total of 123123123 strokes. We have to find  , Which golfer had the lowest number of strokes per hole :

<u>Rory:</u>

Number of strokes per hole = \frac{424242}{999}  = 425

<u>Alicia:</u>

Number of strokes per hole = \frac{797979}{181818}  = 4

<u>Rickie:</u>

Number of strokes per hole = \frac{123123123}{272727}  = 451

∴ Golfer had the lowest number of strokes per hole is <u>Alicia </u> = 4.

8 0
3 years ago
Select the two binomials that are factors of this trinomial.
const2013 [10]

\huge{ \mathfrak{ \underline{question  : }}}

Select the two binomials that are factors of this trinomial.

x_2 + 8x + 12

\huge{ \mathfrak{  \underline{Answer   : }}}

  • {x}^{2}  + 8x + 12

  • {x }^{2}  + 6x + 2x + 12

  • x (x + 6) + 2(x + 6)

  • (x  + 2)(x + 6)

We got the factors as :

A. \: (x + 6)

and

D. \:  (x + 2)

\#TeeNForeveR

7 0
2 years ago
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