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katrin2010 [14]
3 years ago
7

You invest $5000 into an account that has a 2.7% annual interest rate and is compounded quarterly. Approximately how long will i

t take until you have $7,500 in your account?​
Mathematics
1 answer:
allsm [11]3 years ago
4 0

Since the interest is compounded, we will have to use the compound interest formula.

We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.

5000 will go in for P because that's the starting amount.

2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.

Since the interest is compounded quarterly, n = 4.

After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.

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Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x
OleMash [197]

ANSWER



x=1.39 to the nearest hundredth.



EXPLANATION



We have the equation,



0=2x^2+3x-8



Which can be rewritten as



2x^2+3x-8=0

The question demands the use of the quadratic formula.

Comparing this to the general quadratic equation;

ax^2+bx+c=0


a=2,b=3,c=-8


The quadratic formula is given by;


x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}


We now substitute all the values in to the formula;


x=\frac{-3\pm\sqrt{(3)^2-4(2)(-8)}}{2(2)}

We simplify to obtain;

x=\frac{-3\pm\sqrt{9+64}}{4}


x=\frac{-3\pm\sqrt{73}}{4}


We now split the plus or minus sign to obtain;


x=\frac{-3-\sqrt{73}}{4}


This implies that;


x=-2.89

Or

x=\frac{-3+\sqrt{73}}{4}


This will evaluate to;


x=1.39

Hence, the positive solution rounded to the nearest hundredth is

x \approx 1.39

6 0
3 years ago
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What would be the final elevation if a moth is flying at at 9 meters above the ground and changes by -4?
quester [9]
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Which answers are equal to the expression below? Check all that apply PLEASE WILL GIVE BRAINLIEST
kramer

Answer:

B., D., E.

Step-by-step explanation:

\sqrt{9} \cdot \sqrt{100} =

= \sqrt{9 \cdot 100}      This is choice B.

= \sqrt{900}          This is choice E.

= 30              This is choice D.

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J stands for Jon, A stands for Angelica, and C stands for Chaya.

J = C - 3
A = C + 4
C = A - 4

= 196 h

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Jon worked 62 hours, Chaya worked 65 hours, and Angelica worked 69 hours.

And that's your answer! ^ I hope this helped you! c:

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