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3 years ago

8. Jonathan deposits $6,000 in a savings account that pays 3.2% interest compounded

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

About $6805.66 as I rounded it up

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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

3 0

3 years ago

Simplify<br> -4/7+(-4/3)

jasenka [17]

Answer:

40/21

Step-by-step explanation:

-4/7+(-4/3)

common factor is 21

=21/7×-4-21/3×4

=3×-4-7×4 all divided by 21

=-12-28 all divided by 21

=40/21

4 0

3 years ago

Please help asap! this isn’t too hard but i am still confused.

juin [17]

Answer:

The consecutive even numbers are 28, 30, 32, 34

Step-by-step explanation:

let the four consecutive even numbers be: b d f h,

such that:

b=b, d=b+2, f=b+4, h=b+6.

Therefore, 2(b+b+2)=3(b+6)+14

b=28,

d=(b+2)=30

f=(b+4)=32

h=(b+6)=34

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3 years ago

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Point A(7, 3) is translated to A’(16-19) what rule require the translation

vekshin1

New x = old x + 9
new y + old y - 22

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3 years ago

Which equation can be used to find 75 percent of 200? HELPNOWW

Karolina [17]

Answer:.75x200

Step-by-step explanation:

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