Answer:
Real interest rate= 3%
Step-by-step explanation:
Giving the following information:
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.
The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.
Real interest rate= nominal interest rate - inflation rate
Real interest rate= 0.08 - 0.05= 0.03
21.(03.02)
If f(x) = 7x – 1, what does f(12) represent?
Answer:
83
Step-by-step explanation:
f(x) = 7x - 1
Put x as 12.
f(12) = 7(12) - 1
f(12) = 84 - 1
f(12) = 83
A restaurant catered a party for 45 people. A child’s dinner (c) cost $15 and an adult’s dinner (a) cost $25. The total cost of the dinner was $1,015. How many children and adults were at the party? Use the table to guess and check.
Number of People
a
c
c + a = 45
15 c + 25 a = 1,015 dollars
9 adults and 36 children
10 adults and 35 children
34 adults and 11 children
36 adults and 9 children
Answer:
34 adults and 11 children
Step-by-step explanation:
15 times 11 is 165dollars for kids
25 times 34 adults equals 850 dollars
add it and its 1015
Answer:
34 and 11
Step-by-step explanation:
a car was bought for 5500 and sold at 6500 find the percentage
Answer:
18.18%
Step-by-step explanation:
Percent change formula:
(new amount - old amount)/(old amount) * 100%
new amount: 6500
old amount: 5500
percent change:
(6500 - 5500)/5500 * 100% = 18.18%
Answer:
18.18%
Step-by-step explanation:
1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11
=18.18%
How does the graph of y = a(x – h)2 + k change if the value of h is doubled? The vertex of the graph moves to a point twice as far from the x-axis. The vertex of the graph moves to a point twice as far from the y-axis. The vertex of the graph moves to a point half as far from the x-axis. The vertex of the graph moves to a point half as far from the y-axis.
Answer:
The vertex of the graph moves to a point twice as far from the y-axis.
Step-by-step explanation:
How does the graph of y = a(x – h)2 + k change if the value of h is doubled?
The vertex of the graph moves to a point twice as far from the x-axis.
The vertex of the graph moves to a point twice as far from the y-axis.because the role of h is to indicate the distance of the vertex from the y-axis.
The vertex of the graph moves to a point half as far from the x-axis.
The vertex of the graph moves to a point half as far from the y-axis.
Transformation involves changing the position of a function.
When h is doubled in [tex]\mathbf{y = a(x - h)^2 + k}[/tex], the vertex of the graph moves to a point twice as far from the y-axis.
The function is given as:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
When the value of h is doubled, the new function becomes:
[tex]\mathbf{y' = a(x - 2h)^2 + k}[/tex]
Rewrite as:
[tex]\mathbf{y' = a(x - h- h)^2 + k}[/tex]
The above equation means that:
Function y will be translated to the right by h units
Assume the vertex is:
[tex]\mathbf{Vertex = (2,5)}[/tex]
The new vertex will be:
[tex]\mathbf{Vertex = (4,5)}[/tex]
Comparing the vertices, it means that:
The new function will have its vertex twice as far from the y-axis
Hence, option (b) is correct.
Read more about transformation at:
https://brainly.com/question/13801312
Please answer it now in two minutes
Answer:
4.5
Step-by-step explanation:
Use sin64=x/5 and simplify to
5sin64 and plug it into a calculator to get 4.49 which is 4.5
please help me answer this question Solve: y − x = 12 y + x = -26 (19, -7). (-7, 1). (7, 19). (-19, -7).
Answer:
(-19 , -7)
Step-by-step explanation:
y - x = 12
y + x = -25 we sum them to get
2y = -14 , y = -7
then we put -7 instead of y in any of the equations:
-7 - x = 12
-x = 19
x = -19,
finally (x , y) is (-19 , -7)
hi :) how to do the last part?
Answer: 1200
Step-by-step explanation:
as t → ∞, the e-value will get very very very small and be considered insignificant. In other words, as t → ∞, e → 0.
600(2 + 0) = 1200
Furthermore, if you graph this equation, you will see that the asymptote is: y = 1200. So, the y-value will get really close to 1200 but will never actually reach this value.
im confused how many solutions are parellel lines and how many solutions are intersecting lines
Answer:
There are no solutions to paralell lines and there is exactly one solution to intersecting(perpendicular) lines.
Step-by-step explanation:The solutions would be the point of intersection and paralell lines never meet at any points. Interesecting lines intersect at exactly one point, which proves my answer above. Hope this helped
Find the zeros of y=x^2+4x-9 by completing the square.
Answer:
[tex]\boxed{x =-2 \±\sqrt{13} }[/tex]
Step-by-step explanation:
Let y = 0
0 = x^2+4x-9
x² + 4x -9 = 0
Add 9 on both sides.
x² + 4x = 9
(b/2)² = (4/2)² = 2² = 4
Add 4 on both sides.
x² + 4x + 4 = 13
Facror left side.
(x+2)² = 13
Take the square root on both sides.
x + 2 = ±√13
Subtract 2 on both sides.
x = ±√13 - 2
what is the quotient of 1 and 2/3 divided by 4/5
Answer:
2 and 1/12
Step-by-step explanation:
1 and 2/3 = 5/3.
when dividing fractions, invert and multiply.
5/3x5/4=25/12
=2 and 1/12
Answer:
The quotient is:
2 and 1/12
Step-by-step explanation:
1 and 2/3 = 1 + 2/3
1 = 3/3
1 + 2/3 = 3/3 + 2/3 = (3+2)/3 = 5/3
1 and 2/3 divided by 4/5 is:
(5/3) / (4/5) = (5*5) / (3*4) = 25/12
25/12 = 24/12 + 1/12 = 2 + 1/12 = 2 1/12 = 2 and 1/12
1 to the tenth power
Answer:
1
Step-by-step explanation:
1 to the tenth power is also 1 multiplied by 1 10 times.
1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 = 1
1 to any power will always have the answer of 1.
En la ecuación x2 + 2x −p = 0 una de las soluciones es -5, ¿cuál es el valor de p?
Answer:
p = 15
Step-by-step explanation:
Si
x₁ = -5
entonces:
x² + 2x - p = 0
-5² + 2*-5 - p = 0
25 - 10 - p = 0
15 - p = 0
15 = p
For which system of equations would you need to estimate the solution?
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect around (negative 2.1, negative 3.5).
On a coordinate plane, 2 lines intersect at (negative 2, 3).
On a coordinate plane, 2 lines intersect at (2, 2).
Answer: It is option 2 or B
Step-by-step explanation: Simple and easy, the test said it was right too.
A polygon with 9 sides is shown. An exterior angle has a measure of x degrees. In the regular nonagon shown, what is the measure of angle x? 36° 40° 45° 60°
Answer:
40°Step-by-step explanation:
First we must know that the sum of all the exterior angle of all polygons is 360°.
Measure of each angle of a polygon = 360°/total sides of the polygon
Since a regular nonagon has 9 sides, the measure of each angle of a polygon is expressed as thus;
Measure of each angle of a polygon = 360°/9
Measure of each angle of a polygon = 40°
Hence the measure of an exterior angle x of a nonagon is 40°
Answer:
B in Edg
Step-by-step explanation:
Help please.... what is the solution of sqrt -4x=100? A- x=-2500 B-x=-50 C-x=-2.5 D-no solutions
Answer:
A. x = -2,500.
Step-by-step explanation:
sqrt(-4x) = 100
(sqrt(-4x)^2 = (100)^2
-4x = 10,000
4x = -10,000
x = -2,500
Check your work...
sqrt(-4(-2,500))
= sqrt(4 * 2,500)
= sqrt(10,000)
= plus or minus 100
A. x = -2,500 is your answer.
Hope this helps!
Answer:
The answer would be A, x=-2500
Explanation:
To remove the radical on the left side of the equation, square both sides of the equation.
√ − 4 x^ 2 = 100^ 2
Simplify each side of the equation.
− 4 x = 10000
Divide each term by
−4
and simplify.
x = -2500
40 points and brainliest!!!!
In Triangle XYZ, m
triangles?
O XYZ = TUV
O XYZ = VUT
O No congruency statement can be made because only two angles in each triangle are known.
O No congruency statement can be made because the side lengths are unknown.
Answer:
Option (4).
Step-by-step explanation:
In the figure attached,
Two right triangles ΔXYZ and ΔTUV have been given,
Given:
1). m∠Y = m∠U = 30°
2). m∠Z = m∠V = 60°
3). m∠X = m∠T = 90°
For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).
Therefore, these triangles may be similar but not congruent.
Option (4) is the correct option.
Answer:
D.No congruency statement can be made because the side lengths are unknown.
Step-by-step explanation:
EDG
What is the result of adding these two equations?
62 + 2y = -2
3x - 2y = -5
Answer:
x = -7/9; y = 4/3.
Step-by-step explanation:
I will assume that the top equation is 6x + 2y = -2, and the bottom one is 3x - 2y = -5.
If you add the two...
(6x + 3x) + (2y + (-2y)) = (-2 + (-5))
9x + 0 = -7
9x = -7
x = -7/9
6(-7/9) + 2y = -2
-42/9 + 2y = -18/9
2y = 24/9
y = 24/18
y = 12/9
y = 4/3
Hope this helps!
how many digits are in the decimal expansion of 2^34
Answer:
2^34 = 17179869184
I hope this helps :)
on the average 5 oranges will give 3 cupful of juice. if 2 cupfuls make a pint, how many oranges must be used to make 3 gallons of juice.
Answer:
90 oranges
Step-by-step explanation:
First, find out how many cupfuls are in 3 gallons of juice.
2 cups = 1 pint
2 pints = 1 quart
4 quarts = 1 gallon
16 cups = 1 gallon
48 cups = 3 gallons
For every 5 oranges, you get 3 cupfuls of juice. This gives you the ratio of 5/3. Multiply 48 cups, which is 3 gallons, by the ratio to find out how many oranges you will need.
48 × 5/3 = 90
You will need 90 oranges for 3 gallons of juice.
Answer:
80 oranges are used to make 3 gallons of juice
Step-by-step explanation:
1 gallon = 8 pint
3 gallons = 3 * 8 = 24 pint
1 pint = 2 cup full of juice
24 pint = 24 * 2 = 48 cups
Now, we have to find how many 3 cups are in 48. So, 48 ÷ 3 = 16
3 cup of juice is taken form 5 oranges.
Therefore, 16 groups of 3 cups of juice will be taken from 5 *16 = 80 oranges
WILL MARK BRAINLIEST!!! EASY QUESTION!!(✿◡‿◡) Can someone please give me an example of a FIFTH DEGREE POLYNOMIAL WITH THREE TERMS IN STANDORD FORM? I just need to know what it looks like, please.
Answer:
f(x) = x⁵ + 3x³ - 2 I think, if its incorrect I apologize
Step-by-step explanation:
find the value of x and explain
Answer:
D
Step-by-step explanation:
The chord- chord angle 105° is half the sum of the arcs intercepted by the angle and its vertical angle, thus
[tex]\frac{1}{2}[/tex](120 + x) = 105 ( multiply both sides by 2 )
120 + x = 210 ( subtract 120 from both sides )
x = 90 → D
what is 0.6n = $2.10
Answer: 3.5
Step-by-step explanation:
2.10/0.6=3.5
3.5x0.6=2.10
Given that (1,-8) is on the graph of f(x), find the corresponding point for the function 1/2 f(x)
Answer: 1 (-4)
Step-by-step explanation: f(x) is a function of x giving you a y value. 1/2 f(x) means you're halving every y value that plugging in x gives you.
Please answer this question now
Answer:
If it's not too late by now, the answer is 19.9 [tex]mm^{2}[/tex]
Bruhhh I need help dude !!!
Answer:
(B), in which the first two values are 2 and 10.
Step-by-step explanation:
We can tell that this is a proportional relationship because we can examine the numbers in there.
(2,10)
(4,20)
and (6,30).
If you notice, the x value times 5 gets us the y value for every single point there.
Therefore, B is proportional and it's equation is y = 5x.
Hope this helped!
Answer:
B.
Step-by-step explanation:
B. Is the only one that proportional because,
(2,10)
(4,20)
(6,30)
All these x values multiply by 5 to get the y value.
So the equation is y = 5x meaning it is linear and it goes through the origin which makes it proportional.
Thus,
answer choice B is correct.
Hope this helps :)
what is 25 (10 + 50) - 25?
Answer:
1,475
Step-by-step explanation:
10 + 50
= 60
60 * 25
= 1,500
1,500 - 25
= 1,475
Answer:
Hey there!
25(10+50)-25
25(60)-25
1500-25
1475
Hope this helps :)
An oblique cylinder has a radius of 10 units and slant length of 26 units. An oblique cylinder has a radius of 10 units and a slant length of 26 units. What is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units
The volume of the oblique cylinder with the given parameters is: 2,400π
What is the Volume of an Oblique Cylinder?Volume of an oblique cylinder = πr²h
r is the radius, h is the height of the cylinder.
Given the following:
r = 10 unitsSlant height (l) = 26 unitsh = √(26² - 10²) = 24 units [Pythagorean Theorem]Volume of oblique cylinder = π(10²)(24)
Volume of oblique cylinder = 2,400π
Learn more about the volume of oblique cylinder on:
https://brainly.com/question/15940389
Answer: a
Step-by-step explanation:
Look at picture to see question
at the rate of 15 per 6 oz. bar of chocolate, how much would a pound
Answer:
40
Step-by-step explanation:
We know there are 16 oz in a pound
We can use ratios
15 x
----- = ----------
6 oz 16 oz
Using cross products
15 * 16 = 6x
240 = 6x
divide by 6
240/6 = 6x/6
40 =x
How much material would you need to fill the following cylinder? Radius 13 in. and Height 9 in.
39π in3
117π in3
1053π in3
1521π in3
Answer:
Volume of the cylinder is 1521π in³
Step-by-step explanation:
Hello,
To find the volume of a cylinder, we need the know the formula used for calculating it.
Volume of cylinder = πr²h
r = radius
h = height
Data,
Radius = 13in
Height = 9in
Volume of a cylinder = πr²h
Now we need to substitute the values into the formula
Volume of a cylinder = π × 13² × 9
Volume of a cylinder = 169 × 9π
Volume of a cylinder = 1521π in³
Therefore the volume of the cylinder is 1521π in³
Answer:
1521
Step-by-step explanation: