Answer:
Step-by-step explanation:
A. Function before discount:
f(c)= 8.97c
This means that cost per strand of outdoor light is $8.97 and c is number of strands of outdoor light bought. Therefore to model the function g(c) after he has received a $5 discount on his purchase(total purchase)
g(c)=8.97c-5
B. cost of 6 strands of light before discount
f(c)= 8.97×6= $53.82
cost of 6 strands of light after discount
f(c)=8.97×6-5= $48.82
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.
To learn more about Inflation, click on the link given below :
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F(x)=2x+4 and g(3)=x^2+3
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
80 degrees. add the known angles, then subtract it from 180.
246.8 is what percent of 128? Round to the nearest thousandth.
Answer:
60%
Step-by-step explanation:
Answer:
Most 193%
Step-by-step explanation:
246.8/128= 1.928
What is the distance between the points (-2, 4) and (7, -5)?
how long is the cable
Answer:
anywhere from 169 to 220 metres,
Step-by-step explanation:
What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16
Answer:
so 1- 2 is negative 3 so minus tha by 3 than 4x2
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
Melinda's family drove 378 miles in 9 hours. What was the average speed for the trip?
Answer: 42 MPH
I hope this helps, and Happy Holidays! :)
Answer:
Step-by-step explanation:
if Melinda's family drove 378 miles in 9 hours, her average speed is
378/9=42 miles per hour
4. Emilio asks his classmates what month they were born. He finds that 15
out of 125 classmates were born in July. If there are 1,280 students in
Emilio's school, how many students can he expect to have birthdays in July
based on the experimental probability?
Ok
Answer:153
Step-by-step explanation:
From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.
If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:
= 3/25 × 1280
= 153.6
There will be 153 students expected
I need help some help please
Answer:
1. no, 2. yes
Step-by-step explanation:
You need to use the triangular inequality thereom, which goes by if any side lengths are added together, they are greater than the remaining one. So, for number one, although 20+9=29>8 and 20+8=28>9, 9+8<20 since 9+8=17, which is less than 20. For number two, yes because 1) it is a right triangle triple and 2) 3+4=7>5, 4+5=9>3, and 5+3=8>4.
Answer:
Number 1 is Not a triangle so No and you don’t need to classify becuase it’s not aa triangle
Number 2 is a triangle becuase its ta Pythagorean triplet and even if you checK, it adds up.
Step-by-step explanation:
1) So using Pythagorean Theorem
8^2+9^2=20^2
64+91=400
That is not true
2) 3^2+4^2=5^2
9+16=25
That is true
Some number is equal to 1/3 of the sum of 83, -27.2, and 73. What is the number?
− 7 / 12 + 3 / 8 thanks
Answer:
-5/24
Step-by-step explanation:
Simplify the denominators
-14/24 + 9/24
Add them but keep the denominator
-5/24
Answer:
-840
Step-by-step explanation:
12+3=15
-7*15=-105
-105*8=-840
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]
Candice skipped 12 m in 3 seconds. What was her speed in m/s?
A. 4 m/s
B. 3 m/s
C. 12 m/s
Answer:
her speed is answer in m/s A 4 m/a
Identify an equation in point-slope form for the line parallel to y =-2/3x+8 that
passes through (4,-5).
HELP PLEASE!! Michelle has a new beaded necklace. 29 out of the 58 beads on the necklace are blue. What percentage of beads on Michelle's necklace are blue?
Write your answer using a percent sign (%). ILL GIVE BRAINLIEST IF CORRECT
$12,000 at 2.2% for 5 years.
what’s the interest?
Answer:
264.
Step-by-step explanation:
12,000X2.2%=264.
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 ;)
please help!!! ASAP
Answer:D
Step-by-step explanation:
It's on a computer
Answer:
simulation
Step-by-step explanation:
im in 8th grade
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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Please hurry! I will give the right answer brainliest! Complete the inequalities.
1. (-1/9)(3/5) __ -2/15
2. (-3/8)/(-2 3/4) __ 3/22
1.
=
2.
=
Sorry if this is too much!
Answer:
1 is >
2 is >
I think this is right, you may need to confirm this
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.
Li bought his dog Spot a huge bone that is 15 inches long. Spot chews 4 inches off the bone every day. What is the new length of the bone after 3 days?
Answer:
3 inches
Step-by-step explanation:
If the dog chews off 4 inches every day, you first have to multiply the inches by the number of days, which in this case is 3 x 4, which equals 12. In 3 days, he chewed off 12 of the original 15 inches, leaving only 3 inches left.
When Ellen’s family had completed 70% of a trip, they had traveled 35 miles. How far is the trip overall? (I need a number sentence/A complete sentence)
Answer:
If Ellen traveled 35 miles and this was 70% of her trip, then 100% of her trip would be 50 miles.
Step-by-step explanation:
You can solve this by setting up a proportion. 35/70 = ?/100. To solve this, cross-multiply 35 and 100 to get 3,500. Divide this by 70 and get 50. This means that 35/70 = 50/100.
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
Factor 15x + 35 using the GCF
Answer:
Step-by-step explanation:
find all of tehe factors to both numbers
15x = 5 3 x
35 = 5 7
pull 5 out of both of them and put the remaining factors in parentheses
5(3x + 7)
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%
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:
For the system, what is the y-value? 1x + 3y = 10 -x + 8y = 4
y =− 11/2≈−0.181818182 is that what your looking for