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stiks02 [169]
2 years ago
12

Ralph Chase plans to sell a piece of property for 175000. He wants the money to be paid off in two ways - a short term note at 1

1% interest and a long term note at 9% interest. Find the amount of each know if the total annual interest paid is 17650
Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0
.11x+.08(180000-x)=17400
.11x+14400-.08x=17400
.03x=3000
x=$100,000 at 11%
$80,000 at 8%
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The difference of A and B is 3 the sum of A and B is 13 what are the values of a and b
katen-ka-za [31]

Answer:

a = 8 and b = 5

Step-by-step explanation:

A - B = 3

A + B = 13

2A = 16

A = 8

8 - B = 3

B = 5

8 0
2 years ago
What is the cosine of 30?
shutvik [7]
The answer is A. sqrt3 / 2
3 0
3 years ago
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Help me pls the question is in the picture
MaRussiya [10]

Answer:

M<C = 37 degrees

M<D = 86 degrees

M<DEC = 111 degrees

Step-by-step explanation:

The exterior angle theorem can be measured by the hypotenuse of a 90 degree angle. Since there is no hypotenuse in the matrix, you don't need to make it positive :)

Therefore, after using this theorem, I came to the conclusion that m/C would be 37 degrees, since I calculated the measure of the angle. I used the same tactic on m/D and m/DEC.

I hope this helps :)

4 0
3 years ago
An insurance company is interested in conducting a study to to estimate the population proportion of teenagers who obtain a driv
nlexa [21]

Answer:

n=1041  or higher

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

2) Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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)  

And on this case we have that ME =\pm 0.04 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)  

Since we don't have a prior estimation for th proportion of interest, we can use this value as an estimation \hat p =0.5 And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{2.58})^2}=1040.06  

And rounded up we have that n=1041  or higher.

8 0
3 years ago
how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%
mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16%  glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14

We need to add around 1.14 liters

4 0
3 years ago
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