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Kryger [21]
1 year ago
14

Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $4,400 at

4.75% on December 26, 2019, and paid it off February 21, 2021. How much did he pay in interest? (Assume ordinary interest and no leap year) (Use Days in a year table) (Do not found intermediate calculations. Round your answer to the nearest cent.) 56 Interest paid 5 24600 References
Mathematics
1 answer:
Serhud [2]1 year ago
5 0

Answer:

He paid $253.09 in interest.

Step-by-step explanation:

To find how much did he pay in interest, we use the simple intrest formula, that is given by:

I = Prt

In which I is the value paid in interest, P is the money borrowed, r is the yearly interest rate and t is the time.

In our problem, we have that:

He borrowed $4,400, so P = 4,400

At 4.75% yearly. We measure the time in days, so we have to divide this value by 365. So r = \frac{0.0475}{365}.

From December 26, 2019 to February 21, 2021, there are 422 days, so t = 422.

I = Prt

I = 4,400\frac{0.0475}{365} 422

I = 253.09

He paid $253.09 in interest.

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The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5
tamaranim1 [39]

Answer:

t \approx 0.43\,s

Step-by-step explanation:

The vertical displacement function is y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4, where y(t) is measured in meters and t in seconds. Ball hits the ground when y(t) = 0. That is:

-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0

Whose roots can be found by using the General Formula for Second-Order Polynomials:

t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}

Solutions of this polynomial are:

t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s

Only the first root is physically consistent.

3 0
2 years ago
A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts
masha68 [24]

Answer:

626 and 654

Step-by-step explanation:

Given that a  television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Part I:

p = 0.48

q=1-p = 0.52\\se = \sqrt{\frac{pq}{n} } \\\frac{0.4996}{\sqrt{n} } =

Margin of error =2.045*\frac{0.4996}{\sqrt{n} }626

Sample size should be >626

Part II:

If unknown we take p = 0.5 because maximum std error for this

Here everything would be the same except insted of 0.48 we use 0.5

Margin of error = 2.045*\sqrt{\frac{0.5}{\sqrt{n} } } 654

-------------------------

a and b are too close because 0.46 proportion is close to part b proporti0n 0.5

4 0
2 years ago
The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of
grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

<u><em>Let </em></u>\mu<u><em> = mean gross annual incomes of certified welders</em></u>

So, Null Hypothesis, H_0 : \mu = $20,000    

Alternate hypothesis, H_A : \mu \neq $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

Also, the test statistics that would be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                              T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean income

            \sigma = population standard deviation = $2,000

            n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0
2 years ago
Scott Peter’s bank granted him a single-payment loan of $3,250 to pay a repair bill. He agreed to repay the loan in 31 days at a
kifflom [539]
Im pretty sure the answer is C.
5 0
1 year ago
Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for
Butoxors [25]

20 pounds of lollipops. 20 x .95 = 19, 10 x 1.1 = 11. sorry i'm awful at explaining math.

8 0
2 years ago
Read 2 more answers
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