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Schach [20]
3 years ago
9

Jim borrows $14,000 for a period of 4 years at 6 % simple interest. Determine the interest due on the loan. [4 marks

Mathematics
1 answer:
tino4ka555 [31]3 years ago
7 0

Answer: $ 3,360

Step-by-step explanation:

Given : The principal amount borrowed for loan : P=\ \$14,000

Time period : t=4

Rate of interest : r=6\%=0.06

The formula to calculate the simple interest is given by :-

S.I.=P\times r\times t\\\\\Rightatrrow\ S.I.=14000\times4\times0.06\\\\\Rightatrrow\ S.I.=3360

Hence, the interest due on the loan = $ 3,360

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The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab
Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let \sigma_1^2 represents the variance for 16 OZ bottles and \sigma_2^2 represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be  :-

H_0:\sigma_1^2\geq\sigma_2^2

H_1:\sigma_1^2, since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

z_{\alpha}=z_{0.05}=1.645

6 0
4 years ago
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Using the unit circle, determine the value of cos(-150°).
elena-14-01-66 [18.8K]
<h3>Answer:  -\frac{\sqrt{3}}{2}</h3>

Explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is \left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)

The x coordinate of this terminal point is the value of cos(150).

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3 years ago
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A train traveled 210 miles and 3.5 hours to its first stop. It then continued on traveling another 130 miles in 2.5 hours. 2hat
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Answer:

56.7 ​mi/h.

Step-by-step explanation:

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6 0
3 years ago
Through (-4,6) and parallel to y=-3x+4
liraira [26]
Y=mx+b
parallel lines will have the same slope.

using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.

6 = (-3)(-4) + b
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-12 + 6 = -12 + 12 +b
-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6
7 0
3 years ago
Please help, i’ll mark brainliest.
nalin [4]

Answer:

264 cu

Step-by-step explanation:

This is because you have to add it from all sides, the first prism is 144 cu and then the second one is, 120, and when you add both of those together you get 264

<u><em>Thus the answer is....264</em></u>

5 0
2 years ago
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