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MaRussiya [10]
3 years ago
14

Debbie has $460 in a savings account that earns 8% annually. If the interest is not compounded, how much interest will she earn

in 5 years?
A) $18.40
B) $36.80
C) $184.00
D) $644.00
Mathematics
2 answers:
Viktor [21]3 years ago
6 0
Compound interest means that the interest earned each year is added to the principal meaning that future interest is earned from the original amount + past interest.

In this case, it is NOT compounded meaning that we just have to find how much interested is earned in a year and multiply it by 5 years.

8% of $460 is 460*0.08 = 36.8

36.8*5 = 184

The answer is C) $184.00



anastassius [24]3 years ago
6 0
D)$644.00 is the correct answer
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Jeremy swims for 5 3/5 kilometers in a 7 Day period. she swims the same distance each day. what distance does he swim in each da
disa [49]

Answer:

Step-by-step explanation:

You turn 5 3/5 into an improper fraction, to do that you do 5 x 5 = 25 then 25 + 3 = 28/5

so in a 7 day period she swims 5.6 kilometers. So you have to do 5.6/7 = 0.8

So it would be 0.8 kilometers in a day which is 4/5 kilometers so I don't know if the answers were just wrong?

5 0
3 years ago
Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex
Nataly [62]

Answer:

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

5 0
3 years ago
An isosceles right-angled triangle is shown.
Bad White [126]

Answer:

\boxed{x=4}

Step-by-step explanation:

Area of triangle = 0.5 × Base × Height

→ Substitute in the values

200 = 0.5 × 5x × 5x

→ Simplify

200 = 12.5x²

→ Divide both sides by 12.5

16 = x²

→ Square root both sides

4 = x ∴ x = 4

6 0
3 years ago
The equation y+6=1/3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
Margaret [11]

y+6=1/3(x-9)

Moved all terms from left to right that doesn't contain y

Y=-6 +1/3x-3

Simplify

Y=1/3x-9


Your answer is c.

3 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST
madreJ [45]

-3(2w+6)-4 = -6w -18 -4 = -6w - 22

This means that none of the above is the correct answer choice.

6 0
2 years ago
Read 2 more answers
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