A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15%,
0.10 (20 – 400) + 60,
2 < 400
2 > 400
determines
the bill.
How much is the bill for a person who uses 600 kWh in a month?
O A. $80
B. $90
C. $100
O D. $110
Answer: (a)
Step-by-step explanation:
Given
The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used
for 600 kWh in a month, [tex]b(x)[/tex] is
Substitute 600 for [tex]x[/tex] in [tex]b(x)[/tex]
[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]
Therefore, the bill for a person is [tex]\$80[/tex]
If a certain object has a density of 223 g/cm3 and a mass of 26 grams
Determine the volume, in cm3, of the object.
Answer:
0.11659...cm3
Step-by-step explanation:
To find volume you would have to plug it in the formula Volume= Mass / density so if we plug it in it will be, X(volume): 26(mass)/223(density) you will get 0.11659...cm3
Help please I’ve searched all Brainly and didn’t find a help for this
Answer: 8 inches by 6 inches
Step-by-step explanation:
BROOO CAN SOMEONE HELP ME !!!!!!!!!!!!!!!!
Answer:
BA = 12 cm
Step-by-step explanation:
BC = 5 because it is an isosceles triangle.
Then we use the Pythagorean Theorem on triangle ABD that [tex]\sqrt{13^{2} - 5^{2} }[/tex]= BA
That means that [tex]\sqrt{169 - 25} = \sqrt{144} = 12 = BA[/tex]
The answer is 12 cm
Find the value for the given variables. Give the variables in simplest radical form.
[tex] \huge\boxed{ \boxed{\mathrm{ \underline{Answer}࿐ }}}[/tex]
The given triangle is a right angled triangle,
so let's apply trigonometry here :
[tex] \sin(30) = \dfrac{7}{y} [/tex][tex] \dfrac{1}{2} = \dfrac{7}{y} [/tex][tex]y = 7 \times 2[/tex][tex]y = 14 \: \: units[/tex]Now,
[tex] \cos(30) = \dfrac{x}{y} [/tex][tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{14} [/tex][tex]x = \dfrac{14 \sqrt{3} }{2} [/tex][tex]x = 7 \sqrt{3} [/tex][tex]x = 12.12 \: \: units[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Vertical angle question, should be easy points for you
Answer:
I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct
Step-by-step explanation:
Sorry for not helping sooner
Find the median of the values:
8, 13, 6,-1, 10, 0, -3, 5, 7,1
Answer:
To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.
It will be:
-3, -1, 0, 1, 5, 6, 7, 8, 10, 13
Now you have to cancel each number out from each end.
You will get the numbers:
5, and 6.
You have to find the average of this so:
5 + 6 = 11
11 ÷ 2 = 5.5
So the answer is 5.5.
Answer:
5.5
Step-by-step explanation:
First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.
For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13
you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.
I would really appreciate the help guys!
Answer: 6
Step-by-step explanation: The answer is 6
someone pls help me. pls only reply if you know and no links, if u reply and u don’t know and u just spam i’ll report ur comment
A pair of equations is shown below:
y = 2x - 1
y = 4x - 5 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations?
Happy Pride Month!
Part 1:
You can solve the pair of equation graphically by writing the y-intercepts which are (0,-1) and (0,-5) Then follow the slopes of each line till the intercept. The slopes are up 2 over 1 and up 4 over 1 respectivily
Part 2:
When you graph these you get the answer of (2,3)
x is 2 and y is 3
Have a good day!
(2x - 7y )( 2x + 7y )
Answer:
Step-by-step explanation:
(2x-7y)(2x+7y)
2x(2x+7y)-7y(2x+7y)
4x^2+14xy-14xy-49y^2
4x^2-49y^2
(2x)^2-(7y)^2
Answer:
[tex] {4x}^{2} - 49y^{2} [/tex]
Step-by-step explanation:
Use (a - b) (a + b) = a^2 -b^2 to simplify the product.
[tex](2x)^{2} - (7y)^{2} [/tex]
To raise the product to a power, raise each factor to that power:
[tex] {4x}^{2} - (7y)^{2} \\ {4x}^{2} - 49y^{2} [/tex]
The temperature in Sam's home varies sinusoidal over time. Given the equation T = 4 cos(30(t − 8)) + 16 describes the temperature of the house in degrees celsius in terms of the number of hours since 12 midnight.
Answer:
The temperature is: 14.5 degrees
Step-by-step explanation:
Given
[tex]T = 4 \cos(30(t - 8)) + 16[/tex]
Required
The temperature at 4:15
We have:
[tex]t = 4:15[/tex]
Convert to hours
[tex]t = 4+\frac{15}{60}[/tex]
[tex]t = 4+0.25[/tex]
[tex]t = 4.25[/tex]
So:
[tex]T = 4 \cos(30(t - 8)) + 16[/tex]
[tex]T = 4 \cos(30(4.25 - 8)) + 16[/tex]
[tex]T = 4 \cos(30(-3.75)) + 16[/tex]
Open bracket
[tex]T = 4 \cos(-112.5) + 16[/tex]
[tex]T = 4 *-0.3826 + 16[/tex]
[tex]T = -1.5304 + 16[/tex]
[tex]T = 14.4696[/tex]
Approximate
[tex]T = 14.5^o[/tex]
What is the area of the triangle below? 10 cm 2 20 cm 2 10.5 cm 2 11 cm 2
Answer:
A = 10.5 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 3 , then
A = 0.5 × 7 × 3 = 10.5 cm²
Answer:
A = 10.5 cm²
Step-by-step explanation:
hope this helps
Steven earns extra money babysitting. He charges $31.00 for 4 hours and $46.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysit and y represent the amount he charges. The equation is y answer here
Answer:
y = 7.75x
Step-by-step explanation:
Steven earns extra money babysitting.
Step 1
Let us find the amount he earns per hour based on the charges given in the question.
a) He charges $31.00 for 4 hours
4 hours = $31
1 hour = x
Cross Multiply
4x = $31
x = $31/4
x = $7.75
b) And $46.50 for 6 hours.
6 hours = $46.50
1 hour = x
Cross Multiply
6x = $46.50
x = $46.50/6
x = $7.75
This means, Steven earns $7.75 per hour.
Step 2
Let
x represent the number of hours Steven babysit
y represent the amount he charges.
Therefore, an equation to represent the relationship is written as:
y = $7.75 × x
y = 7.75x
How could I solve this equation by dividing first? 4(x+7)=40
Answer:
You could divide 4 from both sides first
What is the inverse of the function g(x) = x + 16?
Answer:
[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]
choose (2)
Find the approximate surface area of the cylinder below. Round your answer to the nearest tenth.
Lateral
7cm
5cm
cm?
Please help me Im confused on this problem
Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
First year :
9450 + 9450 × ( 6 / 100 ) =
9450 + ( 9450 × 6 / 100 ) =
9450 + ( 56700 / 100 ) =
9450 + 567 =
Rs 10,017
_____________________________
Second year :
10,017 + 10,017 × ( 6 / 100 ) =
10,017 + ( 10,017 × 6 / 100 ) =
10,017 + ( 60,102 / 100 ) =
10,017 + 601.02 =
Rs 10,618.02
______________________________
Third year :
10,618.02 + 10,618.02 × ( 6 / 100 ) =
10,618.02 + ( 10,618.02 × 6 / 100 ) =
10,618.02 + ( 63,708.12 / 100 ) =
10,618.02 + 637.0812 =
Rs 11,255.1012
_______________________________
4th year :
11,255.1012 + 11,255.1012 × ( 6 / 100 ) =
11,255.1012 + ( 11,255.1012 × 6 / 100 ) =
11,255.1012 + ( 67,530.6072 / 100 ) =
11,255.1012 + 675.306072 =
Rs 11,930.407272
_______________________________
5th year :
11,930.407272 + 11,930.407272 × ( 6 / 100 )
=11,930.407272 +( 11,930.407272 × 6 / 100)
= 11,930.407272 + ( 71,582.443632 / 100 )
= 11,930.407272 + 715.82443632
= Rs 12,646.23170832
_______________________________
Thus Mike have to pay approximately Rs 12,646 after 5 years.
A =?
P= 9456
r = 6% = 0.06
t = 5 yrs
Formula
A= P(1+r)^t
A= 9456×1.06⁵
A = 12646.23
the total amount that he had to pay was 12646 rs
!!!!!!!!!!!!!!!!!!!!!!!HELP!!!!!!!!!!!!!!!!!!!!!!!!!! please solve
Answer:
24,000 for 20 years
Step-by-step explanation:
Because 4% of 100K=4K
Add them is 24K
Plot the points (2, 5), (2, -4), (10, 5), and (10, -4) on a coordinate plane. What is the perimeter of this polygon?
Answer:16
Step-by-step explanation:
i just need to the points sorry dude
1.) Write an equation of the line that passes through the point (3,-2) and is
perpendicular to y=-1/2X+4.*
Your answer
Answer:
y = 2x - 8
Step-by-step explanation:
Find the value of tan M rounded to the nearest hundredth, if necessary.
Answer:
36.9
Step-by-step explanation:
Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.
40 is the hypothenuse because it is directly across from the right angle.
[tex]a^2 + 24^2 = 40^2[/tex]
[tex]a^2[/tex] = 32
Tan is opposite over hypothenuse.
Tan M = 36.9
Can someone please help me with my hw.
Answer:
The answer is 1,440
Step-by-step explanation:
Answer:
1, 440Step-by-step explanation:
god bless
from philippines
Find x
A: 11.2
B: 13.1
C: 9.2
D: 22.9
Hi there!
[tex] \large{tan35\degree = \frac{x}{16} }[/tex]
We can also use the other angle but I will focus on 35°.
The reason why we use the equation above because tan is equivalent to opposite/adjacent
From the picture, the opposite is x-term while the adjacent is 16 if we focus angle 35°.
Define theta = 35°. Thus, the equation would be tan35° = x/16.
Solving the equation, you might want to bring open Trigonometric Table or a calculator to calculate tan35°. You should get 0.7 (rounded)
[tex] \large{0.7 = \frac{x}{16} }[/tex]
Then solve the equation for x-term.
[tex] \large{0.7 \times 16 = x} \\ \large{x = 11.2}[/tex]
Hence, the value of x is 11.2
Answer
11.2Questions about the problem be asked through comment.
Furthermore, you can also use the other angle. If we use 55° instead, the equation would be tan55° = 16/x. The outcome would be the same.
Hope this helps, and Happy Learning! :)
When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:
Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.
Which option will result in a better 18th birthday gift? Explain your reasoning.
Answer:
option (1) is a better 18th Birthday gift of child by Grandfather.
Step-by-step explanation:
Amount deposited in bank at time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
So,
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
we know that Bank give compound interest on the deposit amount
then Compound interest = C.I=P(1+r) with an exponent of t
C.I= 100(1 + 10.5 over 100)with an exponent of 18
C.I= 100*6.0328
C.I= $603.28
Option 2:- An account that grows by $20 each year
Here,
Amount credited in account for 18 years = $20
So, Total amount after completion of 18 years = 10+18*20
=460
Hope this helped <3
The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.
The amount deposited in the bank at the time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
We know that Bank give compound interest on the deposit amount
What is the formula for compound interest?Compound interest = C.I=P(1+r) with an exponent of t
C.I= 100(1 + 10.5 over 100)with an exponent of 18
C.I= 100*6.0328
C.I= $603.28
An account that grows by $20 each year
The amount credited in the account for 18 years = $20
The total amount after completion of 18 years = 10+18*20
The total amount after completion of 18 years=460
To learn more about the compound interest visit:
https://brainly.com/question/24924853
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What is the value of x in the equation -6 +x= -1?
0-5
0-7
07
05
Help please
Answer:
0-5
Step-by-step explanation:
what is equivalent to 6.253x10-2
Help me
Press on pic to see it fully
Answer:
[tex]\frac{3}{5} X\frac{5}{3}[/tex] is greater than [tex]\frac{3}{5}[/tex]
calculate the compound interest on an investment of R6500 at 7,5% per annum invested for 3 years
Answer:
Compound interest = Rs 1,575 (Approx.)
Step-by-step explanation:
Given:
Amount invested = R.s 6,500
Rate of interest = 7.5% per annum
Number of year = 3 year
Find:
Amount of compound interest
Computation:
Compound interest = P[(1+r)ⁿ - 1]
Compound interest = 6500[(1+7.5%)³ - 1]
Compound interest = 6500[(1+0.075)³ - 1]
Compound interest = 6500[(1.075)³ - 1]
Compound interest = 6500[1.2423 - 1]
Compound interest = 6500[0.2423]
Compound interest = 1574.95
Compound interest = Rs 1,575 (Approx.)