Answer:
The nominal GDP growth rate between 1998 and 2018 was 126.20 percent.
Step-by-step explanation:
Given that in 1998 the country's GDP was $ 9,063 and in 2018 it was $ 20,501, to determine the nominal growth rate of the nation's GDP, the following calculation must be made:
9,063 = 100
20,501 = X
((20,501 x 100) / 9,063) = X
2,050,100 / 9,063 = X
226.20 = X
226.20 - 100 = 126.20
Therefore, the nominal GDP growth rate between 1998 and 2018 was 126.20 percent.
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
x^2+y^2+10x+12y+25=0x
2
+y
2
+10x+12y+25=0
Answer:
220^x=y will be the answer :)
Write an exponential function represented by the table
X | 0 | 1 | 2 | 3 |
Y | -50 | -10 | -2 | -0.4 |
Answer:
50-10-2-4=34 RESPONS Y
Answer:
y = -50(1/5)^xStep-by-step explanation:
Exponential function:
y = ab^xAs per the table we have:
The initial value is -50 at x= 0Common ratio is 1/5Considering the above, a = -50, b = 1/5
The function is:
y = -50(1/5)^xjamie has 7 candles each a different color, how many ways can she arrange them in a candelebra that hold 3 canles
PLEASE HELP! Here’s a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Connor invested $59,000 in an account paying an interest rate of 2.6%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the account after
10 years?
Answer:
$76,518.88
Step-by-step explanation:
continuous interest
pe^(rt)
we have
59000e^(.026*10)
76518.88
25-year-old patient receives the following medication dosages daily: 1.5 milligrams, 2.25 milligrams, and 0.75 milligrams. What is his total dosage?
Answer:
Step-by-step explanation:
4.45
1.5 + 2.25 + .75 = 4.45 milligrams
The partial fraction decomposition of 9 x 11 6 x 2 23 x 21 can be written in the form of f ( x ) 2 x 3 g ( x ) 3 x 7 , where
Answer:
[tex]f(x) = -1[/tex]
[tex]g(x) =6[/tex]
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Step-by-step explanation:
The question is unreadable, however the real polynomial is:
The polynomial fraction is:
[tex]P = \frac{9x + 11}{6x^2 + 23x + 21}[/tex]
And the decomposition is:
[tex]\frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
The solution is as follows:
[tex]P = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Substitute the expression for P
[tex]\frac{9x + 11}{6x^2 + 23x + 21} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Expand the numerator of the polynomial
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)}{2x + 3} + \frac{g(x)}{3x + 7}[/tex]
Take LCM
[tex]\frac{9x + 11}{(2x + 3)(3x + 7)} = \frac{f(x)*(3x + 7) + g(x)*(2x + 3)}{(2x + 3)(x + 7)}[/tex]
Cancel out both denominators
[tex]9x + 11} = f(x)*(3x + 7) + g(x)*(2x + 3)[/tex]
Represent f(x) as A and g(x) as B
[tex]9x + 11} = A*(3x + 7) + B*(2x + 3)[/tex]
Open bracket
[tex]9x + 11} = 3Ax + 7A + 2Bx + 3B[/tex]
[tex]9x + 11} = 3Ax + 2Bx+ 7A + 3B[/tex]
[tex]9x + 11} = (3A + 2B)x+ 7A + 3B[/tex]
By comparison:
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
Make B the subject in (1)
[tex]B = \frac{9 - 3A}{2}[/tex]
Substitute [tex]B = \frac{9 - 3A}{2}[/tex] in (2)
[tex]7A + 3(\frac{9 - 3A}{2}) = 11[/tex]
Multiply through by 2
[tex]2*7A +2* 3(\frac{9 - 3A}{2}) = 11*2[/tex]
[tex]14A + 3(9 - 3A) = 22[/tex]
[tex]14A + 27 - 9A = 22[/tex]
Collect Like Terms
[tex]14A - 9A = 22-27[/tex]
[tex]5A = -5[/tex]
[tex]A = \frac{-5}{5}[/tex]
[tex]A = -1[/tex]
Recall that:
[tex]B = \frac{9 - 3A}{2}[/tex]
[tex]B = \frac{9 - 3 * -1}{2}[/tex]
[tex]B = \frac{9 + 3}{2}[/tex]
[tex]B = \frac{12}{2}[/tex]
[tex]B = 6[/tex]
A = -1 and B = 6
[tex]3A + 2B = 9[/tex] ---- (1)
[tex]7A + 3B =11[/tex] ---- (2)
So:
[tex]f(x) = A[/tex]
[tex]f(x) = -1[/tex]
[tex]g(x) =B[/tex]
[tex]g(x) =6[/tex]
And the decomposition is:
[tex]\frac{-1}{2x + 3} + \frac{6}{3x + 7}[/tex]
Help would be much appreciated
Solve the quadratic function by factoring
Y=x2-2x-48
What is the solution of the system of equations shown in the graph below?
A. (-1, 0) and (-3, 0) B. (0, 1) and (0, -3)
C. (-2, -1) D. (-1, -2)
Answer:
Step-by-step explanation:
d
If x is to 8 as 15 is to 12, then x equals...
Answer:
12/8 = 6/4 = 3/2; 2/3 * 15 = 10
Step-by-step explanation:
1.
Identify the vertex, complete the table, and graph g(x) = (x - 4)2 – 5.
y
g(x)
X
Vertex:
Answer:
g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)
Step-by-step explanation:
Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).
Make a table showing several x-values and the corresponding y-values:
x g(x) = (x - 4)^2 - 5 (x, y)
0 (-4)^2 - 5 = 11 (0, 11)
4 (4 - 4)^2 - 5 = -5 (4, -5)
A ________________is one of one hundred equal parts of a whole.
Answer:
hundredth
Step-by-step explanation:
Ten equal parts of a whole is called TENTH.
Hundred equal parts of a whole is called HUNDREDTH.
Thousand equal parts of a whole is called THOUSANDTH.
Hence, a hundredth is one of one hundred equal parts of a whole.
Patrick had $10. Then, he saved $3.75 each week for 5 weeks. How much money does he have
now?
Answer:
Step-by-step explanation
$3.75x5=18.75
18.75+10=$28.75
Step-by-step explanation:
So he starts with 10. That would be our y-intercept. That means that 3.75 is the slope because he saves that amount of money each week. So the equation would be y = 3.75x + 10.
The x represents the number of weeks (5), so we will plug that into the equation (y = 3.75(5) + 10).
Multiply 5 and 3.75 to get 18.75
Add 10 to get 28.75
therefore the answer is 28.75Which value is a solution of the inequality 9 >_ 1/2x
18
20
24
36
hello can you help me solve this inequality?
-7(-8k + 8) > 336
Answer:
k > 7
Step-by-step explanation:
Divide each term by − 7 and simplify.
-8k + 8 < -48
Move all terms not containing k to the right side of the inequality.
-8k < -56
Divide each term by − 8 and simplify.
k > 7
hope this helps :)
Lara jogs 1\5 kilometer in 1\6 hour. What is Lara's rate in kilometer per hour?
Answer:
1 1/5 km/h
Step-by-step explanation:
1x6=6
Take the numerator and multiply denominator
Answer:
Step-by-step explanation:
Velocity is distance divided by time.
v=(km/5)/(hr/6)
v=(km/5)(6/hr)
v=(6/5)(km/hr)
v=1.2 km/hr
There are 2 red marble, 4 green marbles and 4 blue marbles. What is the probability or randomly selecting a green not replacing it, then selecting a blue ??
Answer: 4/15
Step-by-step explanation:
for every 16 basketball players in crystal county schools there are 48 soccer players. if the ratio remains constant and there are 64 basketball players how many soccer players are there
Answer:
16:48
64:192
Step-by-step explanation:
16:48
64:x
64/16=4
48 x 4=192
What is 13/20 as a part to part ratio
65%
Convert fraction (ratio) 13 / 20 Answer: 65%
(3 + 2) (5-v2)
Expand and simplify
Answer:
25−5v2
oof oof oof oof oof oof oof oof
Math: Ammon and Nakia volunteer at an animal shelter. Nakia worked 3
more hours than Ammon. They each worked a whole number of hours.
Together they worked more than 27 hours. What is the least number of
hours each worked?
Aretha is rappelling down the side of a cliff. The graph shows her height above the ground in feet as a function of time in seconds as she descends. What is Aretha’s height above ground when she begins rappelling down? At!what rate does she descend?
Answer:
I believe in you and believe you can do it, keep up the great work :)
Step-by-step explanation:
Chicken wing
Chicken wing
Hot dog and baloney
Chicken and macaroni
Chillin with my homies
Which of the following points would fall on the line produced by this point-slope form equation y − 2 = 3 ( x − 5 ) when graphed?
Answer:csss
Step-by-step explanation:
Answer:
use the app photomath
Step-by-step explanation:
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
Answer:
b
Step-by-step explanation:
50 POINTS AND BRAINLEST
Which line is the graph of y=-2x+2
Answer:
line b
Step-by-step explanation:
y = -2x+2 has a slope of -2 (means it's going downhill) and a y-intercept of 2. Line b is the only line that matches this description.
Answer: Line B sir
Step-by-step explanation:
y = -2x+2 has a slope of -2 (means it's going down) and a y-intercept of 2. Line b is the only line that matches this description.
At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?
Answer:
3260
Step-by-step explanation:
yeah ok
PLSS HELPPP ILL GIVE BRAINLESS PLSS
Answer:
x=1 y=4
1:4
Step-by-step explanation:
Answer:
I think it's y=4x
Step-by-step explanation:
3 x 4=12
9 x 4=36
12 x 4=38
Hope that's helpful
please help me ill give brainliest
Answer:
D
Step-by-step explanation: