20% of 55 is what number

2. How can the trend line equation be used to

ELEN [110]

Answer:

c. Substitute 22 for x in the equation.

Step-by-step explanation:

The scatter plot of this question is missing, so i have attached it.

The slope equation of this is written as;

y = mx + b

Where;

y is the values in the y-axis

x is the values in the x-axis

b is the intercept on the x-axis

Now, from the scatter plot of the trend line, we can see that the values in the x-axis represent the number of years after 1970 while the y-axis shows us the price of gas per gallon for each corresponding year.

Now, we want to use the trend line equation be used to predict the cost of gas per gallon in the year 1992.

Year 1992 means 22 years after 1992. Since we have our y-intercept from the scatter plot to be 0.25, then to find the cost of gas per gallon in the year 1992, we will just plug in 22 for x and 0.25 for b into the slope line equation.

3 0

3 years ago

David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the

tamaranim1 [39]

Using compound interest, it is found that:

a) A(8) = 2389.66

b) t = 31.15

c) P = 1870.85

Compound interest:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

A(t) is the amount of money after t years.
P is the principal(the initial sum of money).
r is the interest rate(as a decimal value).
n is the number of times that interest is compounded per year.
t is the time in years for which the money is invested or borrowed.

In this problem:

The APR is of 2.25%, hence $r = 0.0225$ .

No information about the number of compounding per year, hence $n = 1$ .

Item a:

$P = 2000$ , hence:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}$

$A(8) = 2389.66$

Item b:

$A(t) = 4000$ , hence:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}$

$(1.0225)^t = 2$

$\log{(1.0225)^t} = \log{2}$

$t\log{1.0225} = \log{2}$

$t = \frac{\log{2}}{\log{1.0225}}$

$t = 31.15$

Item c:

$A(3) = 2000$ , hence:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}$

$P = \frac{2000}{(1.0225)^3}$

$P = 1870.85$

A similar problem is given at brainly.com/question/24850750

7 0

2 years ago

What is the area if this figure?A. 49.5in<br>B. 66.5in<br>C. 84in<br>D91in

Arisa [49]

Answer:

Step-by-step explanation:

7 x 7 = 49 which is the area of the square

7 x 12 x .5 = 42 so if you add them together

49 + 42 = 91

4 0

3 years ago

Read 2 more answers

A car's gas tank holds 18 gallons of gas when it is full. If the car 's gas tank is currently 65% full, how many gallons of gas

AlexFokin [52]

Answer:

11.7 Gallons

Step-by-step explanation:

First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank

3 0

4 years ago

Read 2 more answers

What type of quadrilateral is quadrilateral ABCD if AB=4x-2, BC=2x+12, DC=3x+5, AD=6x-16, AC=4x+12, DB=8x-10, and x=7? Explain a

ivanzaharov [21]

Answer:

The quadrilateral ABCD is a square.

Step-by-step explanation:

According to the statement, AB, BC, CD and DA are the sides of the quadrilateral, whereas DB and AC are its diagonals. If we know that $x = 7$ , $AB = 4\cdot x - 2$ , $BC = 2\cdot x + 12$ , $DC = 3\cdot x +5$ , $AD = 6\cdot x -16$ , $AC = 4\cdot x + 12$ and $DB = 8\cdot x -10$ , the lengths of each line segment are respectively: