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4 years ago

#16 i need help right now please

Mathematics

1 answer:

Aleonysh [2.5K]4 years ago

8 0

A is -40
B is Barry
hope this helps

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Brianna hoped to get 100 pumpkins from her garden this year. Since the weather was favorable, 20% more pumpkins grew than she

Elan Coil [88]

Final # of pumpkins: 90
The final number of pumpkins is less than she hoped.

3 0

3 years ago

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A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeti

Iteru [2.4K]

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are

Sample size = n = 1200

x = 850

Sample proportion is

$\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083$

We have to construct 99% confidence interval for the population proportion.

Formula Used:

$(\hat{p}-E , \hat{p}+E)$

Here E is a margin of error.

$E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

Zc = 2.58

$E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339$

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

= ( 0.6745 , 0.7422).

3 0

3 years ago

Yolanda deposits $300 per month in an account with an APR of 6%, while Zach deposits $3600 at the end

bonufazy [111]

Answer:

Yolanda will have a balance of $34,043.10 in 14 years.

Step-by-step explanation:

This is an Ordinary annuity question where you pick the hint from the equal and recurring monthly payment.

To find the Future value of Yolanda's savings after 14 years, use Future value of annuity formula FVA = $\frac{PMT}{r}[1-(1+r)^{-t} ]\\$

PMT= recurring payment = $300

r = discount rate; monthly rate in this case = 6% / 12 =0.5% or 0.005 as a decimal.

t = total duration ; 14 *12 = 168 months

Next, plug in the numbers into the FVA formula;

FVA = $\frac{300}{0.005} [ 1-(1+0.005)^{-168} ]$

FVA = 60,000 * 0.5673849

FVA = 34,043.0969

Therefore, Yolanda will have a balance of $34,043.10 in 14 years

7 0

4 years ago

Find the volume to the nearest cm3<br> 20 cm<br> 35 cm<br> 12 cm

riadik2000 [5.3K]

Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
V = 10380cm^3

3 0

3 years ago

4(1-3n)-14> 4(2n+3)-9n

Verizon [17]

4(1-3n)-14>4(2n+3)-9n
4-12n-14>8n+12-9n
-12n-10>-n+12
-22>11n
-2>n
n<-2

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4 years ago

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