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murzikaleks [220]
2 years ago
7

Avery invested $6000 in a simple interest bearing account at a yearly rate of 3% . he earned $900 interest. for how many years w

as the money invested ?
a) 4
B)5
c)8
d)10
Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

Answer:

B) 5

Step-by-step explanation:

$6000 × 0.03 = $180 - this means that every year, $180 is added to the invested amount.

We can now do $900 ÷ $180 to find out the number of years the money was invested for: $900 ÷ $180 = 5

The money was invested for 5 years

Hope this helps!

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pshichka [43]

Answer:

C

Step-by-step explanation:

y = 10

x = 8

The y intercept is 0 and the line runs through (0,0)

m = y / x This formula can only be used when the y incept is 0.

m = 10/8

m = 5/4

Equation

y = 5/4 x

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8 0
2 years ago
For what value of c does x^2−2x−c=4 have exactly one real solution?<br> PLEASE HELP!!!!!!!
Paul [167]

Answer:

-5

Step-by-step explanation:

Moving all terms of the quadratic to one side, we have

x^2-2x-(c+4)=0.

A quadratic has one real solution when the discriminant is equal to 0. In a quadratic ax^2+bx+d, the discriminant is \sqrt{b^2-4ad}.

(The discriminant is more commonly known as \sqrt{b^2-4ac}, but I changed the variable since we already have a c in the quadratic given.)

In the quadratic above, we have a=1, b=-2, and d=-(c+4). Plugging this into the formula for the discriminant, we have

\sqrt{(-2)^2-4(1)(-(c+4)).

Using the distributive property to expand and simplifying, the expression becomes

\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.

Setting the discriminant equal to 0 gives

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We can then solve the equation as usual: first, divide by 2 on both sides:

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Squaring both sides gives

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and subtracting 5 from both sides, we have

\boxed{c=-5}.

3 0
2 years ago
Calculate the gradient of the straight line which joins A(2,-3) and B(6,9)<br>​
Pie

Answer:

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Step-by-step explanation:

m = change in y/change in x

m = \frac{Y2-Y1}{X2-X1}

m = \frac{9-(-3)}{6-(2)}

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5 0
3 years ago
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Greeley [361]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
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SashulF [63]
K = 10

I think. I’m not positive sure though. Hope this helped!
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