Mathematics, 16.04.2020 03:33 trint4

Nadia deposited $3000 into an account that earns annual simple interest. 13 points
After 6 years, she had earned $990 in interest. What was the interest rate
of the account? *
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Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.

Step-by-step explanation:

The given is,

Nadia deposited $3000

After 6 years, she had earned $990 in interest

Simple interest

Step:1

Formula to calculate the future amount with simple interest is,

F = P(1+(r)(t)) ...........................(1)

Where, F - Future amount

P - Initial investment

r - Rate of interest ( simple interest )

t - No. of years

Step:2

From the given,

I = $990

P = $3000

F = Initial investment + Interest amount

F = P + I = 3000 + 990 = $3990

t = 6 years

Equation (1) becomes,

3990 = 3000 ( 1 + (r)(6) )

$\frac{3990}{3000} = (1+(r)(6))$

1.33 = 1 + (r)(6)

1.33 - 1 = (r)(6)

0.33 = (r)(6)

$r = \frac{0.33}{6}$

r = 0.055 × 100

r = 5.5%

Result:

Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.

Answer from: Quest

just go here

its what i use

step-by-step explanation:

Answer from: Quest

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem, $a^2+b^2=c^2$

in this case, a=b since isocolese triangle so we get

$2a^2=c^2$ or $a=\frac{c}{\sqrt{2}}$

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

$(x-x_a)^2+(y-y_a)=(\frac{c}{\sqrt{2}})^2$ and

$(x-x_b)^2+(y-y_b)^2=(\frac{c}{\sqrt{2}})^2$ intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

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Nadia deposited $3000 into an account that earns annual simple interest. 13 points
After 6 yea...