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andrew11 [14]
3 years ago
13

Newton currently has an account balance of $6225.18. He opened the account 15 years ago with a deposit of $4543.11. If the inter

est compounds daily, what is the interest rate on the account?
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0
Formula of the daily compound interest:
A = P.e^(r.t), where P is the initial investment, r = interest rate, t = number of years e= 2.718 and  A = final amount

6,225.18= 4,543.11(e)^(r.15)

(e)^(r.15) = 6,225.18/4,543.11

(e)^(r.15) = 1.3702046

ln[(e)^(r.15)] = ln(1.3702046)

15.r = 0.314991

And r = 0.314491/15 = 0.020 OR  2%
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Answer:

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df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

Step-by-step explanation:

Information given

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System of hypothesis

We want to test if the true mean is higher than 5, the system of hypothesis are :  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

The degrees of freedom first given by:  

df=n-1=12-1=11  

Then we can find the critical value taking in count the degrees of freedom and the alternative hypothesis and then we need to find a critical value who accumulates 0.05 of the area in the right tail and we got:

t_{\alpha}= 1.796

And for this case the rejection region would be:

b) Reject H0 if tcalc >1.7960

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3 years ago
How do you find the slope of a line
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Answer:

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Step-by-step explanation:

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Answer:

Equation: 3x - 11 = 85

Solution: x = 32

Step-by-step explanation:

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You will have to do the opposite to the equation shown on the screen.

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3 0
1 year ago
X - y= -4 -2x +3y =6
STatiana [176]

Answer:

<em><u>x=-6, y=-2</u></em>, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.

Step-by-step explanation:

By substitution:

x-y=-4    By adding y on both sides,

x=y-4

Now you can substitute x for the expression (y-4)

Plug the (y-4) as x in the other equation.

So -2x+3y=6 becomes

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Now solve:

-2(y-4)+3y=6 distributes out to be

-2y+8+3y=6     Now combining like terms

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<u><em>y=-2</em></u>

Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.

So x-y=-4 becomes

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