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Bad White [126]
3 years ago
10

Find the present value that will grow to ​$23,000 if interest is 5​% compounded quarterly for 19 quarters.

Mathematics
1 answer:
brilliants [131]3 years ago
6 0
Find the present value that will grow to ​$23,000 if interest is 5​% compounded quarterly for 19 quarters.

Used compound interest formula.

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This graph shows a proportional relationship.<br> What is the constant of proportionality?
Vlad1618 [11]

Answer:

3/4

Step-by-step explanation:

there is no y intercept but it is 3/4 when you simplify

4 0
3 years ago
A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart
Alchen [17]

9514 1404 393

Answer:

  11.85 deciliters

Step-by-step explanation:

Your table tells you 1 cup is 0.237 liters. Then 5 cups is ...

  (5 cups)(0.237 L/cup) = 1.185 L = 11.85 dL

__

"deci-" is the SI prefix for 1/10. 1.1 liters is 11 tenths of a liter.

5 0
3 years ago
Jefferson Middle School needs to see a 300% gain in PTO fundraiser
Ronch [10]

Given parameters:

Percentage gain = 300%

Selling cost last year = $2420

Unknown:

Selling cost this year  = ?

Solution:

To solve this problem;

     Profit percent  = \frac{Selling cost this year - Selling cost last year}{Selling cost last year} x 100

      300 = \frac{S - 2420}{2420}  x 100

      3 = \frac{S - 2420}{2420}

         S- 2420 = 7260

          S = $9680

To make a 300% gain, Jefferson Middle school needs a $9680 from fundraiser sales this year.

6 0
3 years ago
in a test of effectiveness of garlic for lowering cholesterol, 45 subjects were treated with garlic in process tablet form. chor
leonid [27]

Answer:

Step-by-step explanation:

(a)

The sample statistic which is estimated by the population parameter is the sample mean. Moreover it is the best estimate for the population mean.From the information, it is clear that  

The sample mean is the best point estimate for the population mean. This clearly indicates that the best point estimate for the population mean is 5.1mg/dl.

(b)

From the information, it is clear that  \bar x = 5.1,\,s = 16.7,\,n = 45    

The degree of freedom is obtained below:

df = n - 1\\\\ = 45 - 1\\\\ = 44  

From “Student’s-t Distribution Table”, the required critical value is 2.704 which is lesser than the critical value.

The 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is,

{\rm{Confidence}}\,{\rm{interval}} = \bar x \pm {t_{\frac{\alpha }{2},n - 1}}\left( {\frac{S}{{\sqrt n }}} \right)\\\\ = 5.1 \pm {t_{\frac{{0.01}}{2},45 - 1}}\left( {\frac{{16.7}}{{\sqrt {45} }}} \right)\\\\ = 5.1 \pm \left( {2.704} \right)\left( {2.4895} \right)\\\\ = 5.1 \pm 6.7316\\

= \left( {5.1 - 6.7316,5.1 + 6.7316} \right)\\\\ = \left( {-1.6316,11.8316} \right)  

(c)

From the information, it is clear that the cholesterol levels were measured and identified whether the garlic treatment affects the LDL cholesterol levels or not.

It is clear that, the 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is \left( {-1.6316,11.8316} \right) . By the rejection rule for the confidence interval it is clear that the confidence interval contains 0 which clearly states that the garlic treatments do affect the LDL cholesterol levels.

3 0
3 years ago
Read 2 more answers
Using the linear combination method, what is the solution to the system of linear equations 7 x minus 2 y = negative 20 and 9 x
guajiro [1.7K]

Answer:

(- 2, 3 )

Step-by-step explanation:

Given the 2 equations

7x - 2y = - 20 → (1)

9x + 4y = - 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the term in y

14x - 4y = - 40 → (3)

Add (2) and (3) term by term to eliminate the term in y

23x = - 46 ( divide both sides by 23 )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (2)

9(- 2) + 4y = - 6

- 18 + 4y = - 6 ( add 18 to both sides )

4y = 12 ( divide both sides by 4 )

y = 3

Solution is (- 2, 3 )

8 0
4 years ago
Read 2 more answers
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