Answer: C
Step-by-step explanation:
Answer:
145
Step-by-step explanation:
12x12=144 and the closest number to 144 is 145
Help please!
Bart had an income of $38,250 last year. If the inflation rate is 4.5%, what is his purchasing power?
A. $33,614.85
B. $34,543.75
C. $34,998.15
D. $36,528.75
Answer: D) $36,528.75
=======================================================
Explanation:
Positive inflation eats away at the purchasing power of money.
If inflation is 4.5%, then the purchasing power goes down by 4.5% meaning his purchasing power is 100% - 4.5% = 95.5% of what it used to be.
95.5% of $38,250 = 0.955*38250 = 36,528.75
So his purchasing power is $36,528.75
The purchasing power of Bart by the income of last year is option D. $36,528.75.
What is Inflation?Inflation can simply be defined as the increase in the rate of the prices over a period of time. In other words, inflation describes how much more expensive has a commodity or service becomes in a period of time.
It is clear that, inflation decreases the purchasing power of money.
Given that, the inflation rate is 4.5%.
Also, Bart had an income of $38,250 last year.
Purchasing power will get decreased by 4.5%.
Purchasing power = $38,250 - ($38,250 × 4.5%)
= $38,250 - (1721.25)
= $36,528.75
Hence the purchasing power of Bart is $36,528.75.
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A survey of 100 randomly selected dentists in the state of Ohio results in 78% who would recommend the use of a certain toothpaste. The population proportion is known to be p=0.72. For samples of size 100, which of the following best interprets the mean of the sampling distribution of sample proportion of dentists in the state of Ohio who would recommend the use of a certain toothpaste?
Answer:
I think its A
Step-by-step explanation:
Answer:
The mean of all sample proportions from all random samples of 100 dentists in the state of Ohio is equal to 0.72.
Step-by-step explanation:
Help pleaseee:))))
If x equals -4, what does -x equal???
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of $21,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $7,000 down payment be?
Answer:
a. Down payment of $21,000
= 21,000 / 140,000
= 0.15
= 15%
b. Down payment of $7,000
= 7,000/ 140,000
= 0.05
= 5%
please help!! its music!!
Answer:
Lowers the pitch by 1/2 step
Step-by-step explanation:
Solve for x: 7(9 + x) = 84
x= 3
x= 21
x=16
x=64
PLEASE HURRY WILL GIVE BRAINLIEST!!!
Answer:
my answer is 2 . 3 I think
Find the area of the isosceles triangle. please help thanks
Answer:
1080 m^2 Don't submit m^2 in your answer.
Step-by-step explanation:
Givens
The catch is to find h
To do that, use a^2 + b^2 = c^2
a b and c are in the same 1/2 triangle.
a = 48/2 = 24 m
b = h = ?
c = 51 meters
Solution
a^2 + b^2 = 51^2 Substitute for b^2 = h^2
24^2 + h^2 = 51^2 Expand 24^2 and 51^2
576 + h^2 = 2601 Subtract 576 from both sides
h^2 = 2601 - 576
h^2 = 2025 Take the square root of both sides
h = 45
Area
Area = 1/2 b * h
Area = 1/2 48 * 45
Area = 1080
Remark
Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.
To find the area, you need to use all of 48 because 48 is the full length of the base.
please help!!! ASAP
Answer:D
Step-by-step explanation:
It's on a computer
Answer:
simulation
Step-by-step explanation:
im in 8th grade
In AABC AB = 3x - 2, BC=x+4, and AC = 7. Also AB = BC Which term does NOT describe AABC?
Equilateral
Acute
Isosceles
Obtuse
Answer:
acute maybe
Step-by-step explanation:
The given ΔABC is an equilateral triangle because all the sides are equal. The term which does not describe the ΔABC is obtuse option D is correct.
What is the triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Given that:-
In AABC AB = 3x - 2, BC=x+4, and AC = 7. Also AB = BC
We know that AB = BC
3x - 2 = x + 4
3x = x + 4 + 2
3x = x + 6
2x = 6
x = 3
AB = 3x - 2 = 3(3) - 2 = 7
BC = x + 4 = 3 + 4 = 7
All three sides are equal so the triangle is an equilateral triangle. Hence given ΔABC is an equilateral triangle because all the sides are equal. The term which does not describe the ΔABC is obtuse option D is correct.
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need help with the last 2 numbers
Answer:
the solution is t ≤1 (1)
Which line is parallel to the line given y=- 4/3x+1
Answer:
Any other line with this slope (-4/3)
Step-by-step explanation:
A quick look at y= (-4/3)x + 1 tells us immediately the slope of the given line is (-4/3). Any other line with this slope (-4/3) is parallel to y= (-4/3)x + 1. Next time, please share the answer choices. Thank you.
it is a prodigy question please help
Answer:
428
Step-by-step explanation:
Answer:
428
Step-by-step explanation:
Identify an equation in point-slope form for the line parallel to y =-2/3x+8 that
passes through (4,-5).
Given that f(x) = x2 - 2x - 15,
a. Find the coordinates of the y-intercept
b. Find the coordinates of the x-intercepts
c. Find the coordinates of the vertex
d. Use the above information to sketch a graph of f(x)
a) (0; -15)
you just let x be equal to 0.
b) ( -5; 0) and (3;0)
you just let y/ f(x) equal to 0.
c)
Katy bought a $76 dress at 33% off and a $52 pair of shoes at 15% off. If
sales tax is 6.75% how much did she pay in total?
Answer:
101.54
Step-by-step explanation:
Answer:
$103.21
Step-by-step explanation:
33% of 76=$25.08 then 76-25.08=$50.92
12% of 52=$6.24 then 52-6.24=$45.76
50.92+45.76=$96.68
6.75% of 96.68=$6.525-->$6.53
96.68+6.53=($103.21)
x – 7y = –11
5x + 2y = -18
Answer:
hope this help you
Step-by-step explanation:
Simplifying
X + -7y = -11
Solving
X + -7y = -11
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '7y' to each side of the equation.
X + -7y + 7y = -11 + 7y
Combine like terms: -7y + 7y = 0
X = -11 + 7y
Simplifying
X = -11 + 7y
------------------------------------------------------------------------------------------------------------
Solving
5x + 2y = -18
Solving for variable 'x'.
Add '-2y' to each side of the equation.
5x + 2y + -2y = -18 + -2y
Combine like terms: 2y + -2y = 0
5x = -18 + -2y
Divide each side by '5'.
x = -3.6 + -0.4y
Simplifying
x = -3.6 + -0.4y
A truck is 180 inches long. A car is 30% shorter than the truck. How long is the car?
4x2+24=0 simplify solutions
Answer:
4x^2 + 24 = 0
4x^2 = - 24
unsqrt
4x = ±2√6
x = (±2√6)/4
Enter an inequality that represents the description, and then solve.
Dave has $11 to spend on an $8 book and two birthday cards (c) for his friends. How much can he spend
on each card if he buys the same card for each friend?
Answer:
$6
Step-by-step explanation:
19. (3,5), (2,-2)
write an equation in slope-intercept form for the line that passes through each pair of points
Answer:
y=7x−16 the answer ;)
VERTICIES AND COORDINATES
A(2,2), B(2, 6), C(5, 2)
I'VE BEEN WORKING IT FOR 6 HOURS STRAIGHT HELP ME.
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4). The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed? (__,__)
Answer:
The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)
Step-by-step explanation:
To find the centroid of a triangle, use this rule centroid = ([tex]\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}[/tex]), where (x1, y1), (x2, y2), (x3, y3) are the vertices of the triangle
∵ The vertices of the triangle are (1, 1), (1, 4), (-3, 4)
∴ x1 = 1 and y1 = 1
∴ x2 = 1 and y2 = 4
∴ x3 = -3 and y3 = 4
→ Substitute them in the rule above
∵ Centroid = ([tex]\frac{1+1+-3}{3},\frac{1+4+4}{3}[/tex])
∴ Centroid = ([tex]\frac{-1}{3},\frac{9}{3}[/tex])
∴ Centroid = ([tex]-\frac{1}{3}[/tex] , 3)
∴ The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)
Find the slope of the line going through the points (0, -7) and (8, 1).
Answer:
8,1
Step-by-step explanation:
maybe i think this will help you
fully simplify the answer and plz explain
Hi there!
[tex]\large\boxed{x = \frac{24z}{(18 + yz)} }[/tex]
We can begin solving by creating a common denominator:
x · 3 · z = 3xz. This is the denominator that all of the numerators must have in order to work with the fractions.
Multiply each numerator by the missing parts of the common denominator:
[tex]\frac{8 * 3 * z}{3xz} - \frac{y * x * z}{3xz} = \frac{6 * 3 * x}{3xz}[/tex]
Simplify:
[tex]\frac{24z}{3xz} - \frac{yxz}{3xz} = \frac{18x}{3xz}[/tex]
Move all the fractions involving x in the numerator to the right-hand side of the equation:
[tex]\frac{24z}{3xz} = \frac{18x}{3xz} + \frac{yxz}{3xz}[/tex]
Combine fractions:
[tex]\frac{24z}{3xz} = \frac{18x + yxz}{3xz}[/tex]
Multiply both sides by 3xz:
[tex]24z = 18x + yxz[/tex]
Factor out "x" from the terms on the right-hand side:
[tex]24z = x(18 + yz)[/tex]
Divide both sides by (18 + yz)
[tex]\frac{24z}{(18 + yz)} = x[/tex]
HELP ME PLEASEEEE ITS FOR geometry ITS WORTH 51 POINTS
Answer:
answer is b
Step-by-step explanation:
$12,000 at 2.2% for 5 years.
what’s the interest?
Answer:
264.
Step-by-step explanation:
12,000X2.2%=264.
What is the distance between the points (-2, 4) and (7, -5)?
A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches, approximately how many inches of string will the student need?
Answer:
3.8 inches
Step-by-step explanation:
Divide 24 by 3.14 (Pi) then divide that number by 2
The number of inches of string that the student needs will be 3.82 inches,
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. Then the circumference of the circle will be
C = 2πr units
A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches. Then the radius of the circle is given as,
24 = 2πr
r = 24 / 2π
r = 3.82 inches
The number of inches of string that the student needs will be 3.82 inches,
More about the circumference of a circle link is given below.
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fill in the table using this function rule. y= -6x + 3
x y
-1 ?
0 ?
1 ?
5 ?
Two sides of a triangle have lengths 7 and 13.
The third side has a length that is
Answer:
19?
Step-by-step explanation: