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3 years ago

8

gary deposits 3700 in an account that pays 2.15% simple interest he keeps the money in the account for 3 years but doesn’t make

any deposits or withdrawals how much interest will he receive after three years

1 answer:

zzz [600]3 years ago

4 0

Answer:

238.65

Step-by-step explanation:

To find the simple interest we use the formula:

A = P(1 + rt)

Let's break down all the variables that we have.

P = 3,700

r = 2.15% or 0.0215

t = 3

So let's put all our variables into the formula.

A = P(1 + rt)

A = 3,700(1 + (0.0215)(3))

A = 3,700(1 + 0.0645)

A = 3,700(1.0645)

A = 3938.65

Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.

Interest = 3938.65 - 3700

Interest = 238.65

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Step-by-step explanation:

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Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th

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Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

$P:(x - 1)^2 + (y + 6)^2 = 9$

$Q:(x + 4)^2 + (y + 14)^2 = 4$

Solving (a): The distance between both

The equation of a circle is:

$(x - h)^2 + (y - k)^2 = r^2$

Where

$Center: (h,k)$

$Radius:r$

P and Q can be rewritten as:

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$Q:(x + 4)^2 + (y + 14)^2 = 2^2$

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For Q:

$Center = (-4,-14)$

$r = 2$

The distance between them is:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

Where:

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$Center = (-4,-14)$ --- $(x_2,y_2)$

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$r = 3$ --- circle P

$r = 2$ --- circle Q

By comparison

$2 < 3$

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