The function illustrates that the bill for someone who uses 600 kilowatt will be $80.
How to illustrate the function?It should be noted that a function simply means an expression that defines the relationship between a variable and another variable. In this case, one can infer that functions are essential in the formulation of relationship between the variables that are given.
Based on the information given, it should be noted that it was stated that the power company calculates a person's monthly bill from the number of kilowatt-hours.
The bill for someone who uses 600 kilowatt will be:
= 0.1(x - 400) + 60
= 0.1(600 - 400) + 60
= 0.1(200) + 60
= 20 + 60
= 80
In conclusion, the bill will be $80.
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Fill in the missing term in the pair of equivalent ratios. *
5:30 15:
Your answer
The state low temperatures for five states are as follows: -42
What is 13 2/3 subtracted from 49 1/3
Answer:
35 2/3
Step-by-step explanation:
49 1/3 - 13 2/3
First convert both into improper fractions, which is
148/3 - 41/3
Then subtract!
107/3
Next simplify the fraction.
35 2/3
10yy'=x y(10)=4
Find the solution of the differential equation that satisfies the given initial condition.
Answer:
Step-by-step explanation:
10yy'=x
[tex]10y\frac{dy}{dx} =x\\separating~the~variables\\10 ydy=xdx\\integrating\\\int 10ydy=\int xdx+c\\\frac{10y^2}{2} =\frac{x^2}{2} +c\\10y^2=x^2+2c\\when~x=10\\y=4\\10(4)^2=10^2+2c\\160=100+2c\\2c=160-100=60\\c=\frac{60}{2} =30\\10y^2=x^2+60\\10y^2-x^2=60[/tex]
22. Chris bought a new car for $12,500. He made a $3,000 down payment and financed the rest at an annual interest rate of 14.5% for 36 months (3 years). How much less would his total interest be for the same loan for 24 months (2 years)? A. $1,387.50 B. $1,377.50 C. $1,367.50 D. $1,357.50
Answer:
Step-by-step explanation:
Purchase price (A) : $12,500
Down Payment (B): $3,000
Loan Taken (C = A - B): $9500
D : Interest calculation for $9,500 for 3 years P(1 + rt)
= 9500(1 + (14.5/100) * 3)
= 9500(1 + 0.145 * 3)
= 9500 * 1.435
= $13632.5
E : Interest calculation for $9,500 for 2 years P(1 + rt)
= 9500(1 + (14.5/100) * 2)
= 9500(1 + 0.145 * 2)
= 9500 * 1.29
= $12,255
Difference between D - E
= $13632.5 - $12,255
= $1377.5
Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years
I need help with my homework please!!
Extremely confused!
I need all the equations imputations and how to solve for everything!
Answer:
what do you need person jjff
Jason’s utility and telephone bills for the month totaled $180. The utility bill was 3 times as much as the telephone bill. How much was each bill?
Answer:
telephone was $45, utility was $135
Step-by-step explanation:
Let the telephone bill be x, then the utility bill is 3x
3x+x = 180
4x = 180
x = 45
3x = 135
Gcf of 12h3,36h3,12h6
The greatest common factor from the given information is 12h³.
What is the greatest common factor?The greatest common factor (GCF) of a given set of whole numbers is the largest value that can be divided by the set of numbers.
From the information given, we are to find the GCF of:
12h³ = (1 , 2, 3, 4, 6 , 12 )h³
36h³ = (1, 2, 3, 4, 6, 9, 12, 18, 36)h³
12h⁶ = (1, 2, 3, 4, 6, 12)h³ * h³
Therefore, we can conclude that the greatest common factor is 12h³.
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On average, an American hummingbird flaps its wings about 3,180 times per minute.
About how many times per second does it flap its wings?
Enter your answer in the box.
times
Answer:
53 times per second
Step-by-step explanation:
There are 60 seconds in 1 minute, so divide the 3180 flaps per minute into 60 equal parts.
3180 / 60 = 53
The sum of five consecutive integers equals 5.5 times the middle integer. Find the integers.
The integers are therefore -2, -2, 0, 1 and 2
Linear equationLet the five consecutive integers be x-3, x-2, x-1, x and x+1
If the sum of five consecutive integers equals 5.5 times the middle integer, then;
x-3+x-2+x-1+x+x+1 = 5.5(x-1)
5x - 5 = 5.5x - 5.5
Collect the like terms
5x-5.5x = -5.5 + 5
-0.5x = -0.5
x = 1
The integers are therefore -2, -2, 0, 1 and 2
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Solving for the area.
Area
1/2(sum of parallel sides)height1/2(50+65)(30)1/2(115)(30)15(115)1150+5751725ft²Answer:
1725 ft²
Step-by-step explanation:
The formula to find the area of a trapezoid is :
Area = [tex]\frac{1}{2}[/tex] × ( sum of the parallel sides ) × height
Let us solve it now.
Area = [tex]\frac{1}{2}[/tex] × ( sum of the parallel sides ) × height
Area = [tex]\frac{1}{2}[/tex] × ( 65 + 50 ) × 30
Area = [tex]\frac{1}{2}[/tex] × ( 115 ) × 30
Area = [tex]\frac{1}{2}[/tex] × 3450
Area = 1725 ft²
1/2x + 1/4y = 3 solve for y
Answer:
y=-2x+12
Step-by-step explanation:
First, subtract 1/2 from each side
1/4y = -1/2x + 3 --> multiply each side by 4
y = -2x + 12 is your final answer
Simplify the expression using the proper order of operations
5[6 ÷ 2^2 ∙ 3 - 1]
The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75
Simplification5(6 ÷ 2² × 3 - 1)
Bodmas
B - BracketO - ofD - divisionM - MultiplicationA - AdditionS - Subtraction= 5(6 ÷ 4 × 3 - 1)
= 5(6 ÷ 4 × 2)
= 5(6 ÷ 8)
= 5(0.75)
= 3.75
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When the absolute value of slope gets bigger the graph of the line gets ???
5
364,860
0/1 point
Camila has finally found a house she adores! The cost of the home is $210,000, which she intends to purchase on a 30-year fixed mortgage. Blinded by her adoration for the
property, she has agreed to a 5.5% interest rate. Round all answers to the nearest cent.
How much will Camila pay in interest over the lifetime of the mortgage?
The total interest on the mortgage loan is $219,249.60
What is a mortgage loan?
It is a loan taken in order to purchase a property that requires periodic repayments such as monthly repayment since most mortgages are repaid monthly.
Our first task is to determine the monthly repayment using the present value formula of an ordinary annuity because the monthly payment becomes due at the end of each month.
PV=monthly repayment*(1-(1+r)^-N/r
PV=loan amount=$210,000
monthly repayment=unknown(assume it is X)
r=monthly interest rate=5.5%/12=0.00458333333333333
N=number of monthly payments in 30 years=30*12=360
$210,000=X*(1-(1+0.00458333333333333)^-360/0.00458333333333333
$210,000=X*(1-(1.00458333333333333)^-360/0.00458333333333333
$210,000=X*(1-0.19277525234572900)/0.00458333333333333
$210,000=X*0.80722474765427100/0.00458333333333333
$210,000=X*176.12176312456800000
X=$210,000/176.12176312456800000
X=monthly payment=$1,192.36
total repayments(360 months)=$1,192.36*360
total repayments(360 months)=$429,249.60
Total interest=total repayments(360 months)-loan amount
Total interest=$429,249.60-$210,000
Total interest=$219,249.60
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There are some 1-dollar bills, some 5-dollar bills, and a 20-dollar bill in an envelope. The number of 1-dollar bills is five times the number of the 5-dollar bills. We randomly pull a bill from the envelope. How many 1-dollar bills are in this envelope if the expected value of the bill pulled is $2.00?
Answer:
the number of 1 dollars bills was 5 si make 1 more 5 dollars so 8n total it is 10 dollars.
The inside dimensions of a box are 12 inches long, 5 inches wide, and 2 inches deep.
How many cubic inches does it contain?
60
110
120
240
none of these
Given f of x is equal to 1 over the quantity x minus 3 end quantity and g of x is equal to the square root of the quantity x plus 3 end quantity comma what is the domain of f (g(x))?
[–3, ∞)
[–3, 6) ∪ (6, ∞)
(–∞, 3) ∪ (3, ∞)
ℝ
The domain of the composite function is given as follows:
[–3, 6) ∪ (6, ∞)
What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given as follows:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this problem, the functions are:
[tex]f(x) = \frac{1}{x - 3}[/tex].[tex]g(x) = \sqrt{x + 3}[/tex]The composite function is of the given functions f(x) and g(x) is:
[tex]f(g(x)) = f(\sqrt{x + 3}) = \frac{1}{\sqrt{x + 3} - 3}[/tex]
The square root has to be non-negative, hence the restriction relative to the square root is found as follows:
[tex]x + 3 \geq 0[/tex]
[tex]x \geq -3[/tex]
The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:
[tex]\sqrt{x + 3} - 3 \neq 0[/tex]
[tex]\sqrt{x + 3} \neq 3[/tex]
[tex](\sqrt{x + 3})^2 \neq 3^2[/tex]
[tex]x + 3 \neq 9[/tex]
[tex]x \neq 6[/tex]
Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:
[–3, 6) ∪ (6, ∞)
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a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 5 48 22 Cold 8 12 5 What is the probability that a customer ordered a large given that he or she ordered a cold drink? Rounded to the nearest percent, [? ]% Enter
Using it's concept, there is a 20% probability that a customer ordered a large given that he or she ordered a cold drink.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 8 + 12 + 5 = 25 people ordered a cold drink, and of them, 5 were large, hence the probability is:
p = 5/25 = 0.2 = 20%.
20% probability that a customer ordered a large given that he or she ordered a cold drink.
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Consider the diagram shown and answer the following questions; the radius of this circle is 6 inches.
a. Define how lines a, b, c, and d relate to circle P. (What special names do these lines have in relation to the circle?)
b. If the measure of angle OPS is 139°, what extra information would we need to calculate the measure of angle ORS using intersecting chords? Explain how we can use this information to calculate the angle.
c. Segment NS is 14 the length of segment TO. Explain how theorem 65 would allow us to calculate the length of segments RO, RS, RV, and RT.
The additional information needed to calculate ORS are the measures of SPR and PSR
The special names of the linesThe lines are given as:
Lines a, b, c and d
The special names of the lines are as follows:
Line a: A secant. This is because the line divides the circle into unequal segmentsLine b: A tangent: This is because the line touches the circle at a point on the circumferenceLine c: A diameter. This is because the line divides the circle into equal segmentsLine d: A secant. This is because the line divides the circle into unequal segmentsThe additional information neededThe angle is given as:
OPS= 139 degrees
Start by calculating SPR using
SPR = 180- 139
SPR = 41 degrees
So, the additional information needed to calculate ORS are the measures of SPR and PSR
How to calculate the lengths RO, RS, RV, and RTThe theorem 65 is not stated.
So, the question cannot be answered
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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer: x = 6
NS = 8.5
Step-by-step explanation:
JK = KL= KP + LP
26 = 13 + 2x + 1
2x = 12
x = 6
NS = PS
PS = 8.5
NS = 8.5
8 through 10 thank you answers only
Answer:
8) - 8z^3 - 3z^2 - 2z + 13
9) g^3 - 3g^2 + 3g + 6
10) (14n + 21) - (8n + 7) = 6n + 14
A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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Carlos spent 1\dfrac141
4
1
1, start fraction, 1, divided by, 4, end fraction hours doing his math homework. He spent 1\dfrac141
4
1
1, start fraction, 1, divided by, 4, end fraction as much time practicing piano.
How many hours did Carlos spend practicing piano?
write as a fraction
The time Carlos spend practicing his multiplication facts in fraction is 5/16 hours.
FractionA fraction is a value which has a numerator (upper or top value) divided by a denominator (lower or bottom value).
Time Carlos spent doing his math homework = 1 1/4 hoursTime spent practicing his multiplication facts = 1/4 of 1 1/4 hours
= 1/4 × 1 1/4
= 1/4 × 5/4
= (1 × 5) / (4 × 4)
= 5/16 hours
Therefore, the time Carlos spend practicing his multiplication facts is 5/16 hours.
Complete question:
Carlos spent 1 1/4 hours doing his math home work. He spent 1/4 of this time practicing his multiplication facts.
How many hours did Carlos spend practicing his multiplication facts?
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A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $5, 0.3 for $25, 0.2 for $50, and 0.004 for $75. What
are the odds that the ticket is worth at least $25?
Answer:
0.7
Step-by-step explanation:
Because 0.4 is $5 and 0.3 is $25. So 0.3+0.4=0.7
To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. Find this quotient using multiplication.
The divisor of the expression 2/3 ÷ 6/5 is 9.
We have,
Expression:
2/3 ÷ 6/5
The concept used.
a/b ÷ c/d = ad / bc
Now,
2/3 ÷ 6/5
This can be written as,
= 2/3 x 5/6
= (2 x 5) / (3 x 6)
= 10 / 18
= 2 x 5 / 2 x 9
Cancel the common factor.
= 5 / 9
This can be read as,
Dividend = 5
Divisor = 9
Thus,
The divisor of the expression is 9.
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Complete the left-hand column of the table below following the steps indicated in the right-hand column to show that "sin a sin b = 1/2[cos(a-b)-cos(a+b)]" is an identity. Use the definitions of sum and difference formulas for cosine.
The equations which completes the left-hand column of the table are;
[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))sin(a)•sin(b) = (1/2)•(cos(a - b) - cos(a + b))Which equations and identities complete the left-hand column of the table?The given expression on the right is written as follows;
First row;
[tex] \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]
The definition of the sum and difference of cosine are;
cos(a - b) = cos(a)•cos(b) + sin(a)•sin(b)
cos(a + b) = cos(a)•cos(b) - sin(a)•sin(b)
Therefore;
Second row;
cos(a - b) - cos(a + b) = (cos(a)•cos(b) + sin(a)•sin(b)) - (cos(a)•cos(b) - sin(a)•sin(b))cos(a - b) - cos(a + b) = 2•sin(a)•sin(b)
Which gives;
[tex] sin(a) \cdot sin(b) = \frac{1}{2} \cdot \left(cos(a - b) - cos(a + b) \right)[/tex]
Third row;
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How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?
Answer:
$217.88
Step-by-step explanation:
12% of 194.95 plus the original cost of 194.94 equals the total
1.12*194.54 = $217.8848
Rounded: $217.88
Find the missing length indicated. need help
The missing length of given right triangle is equal to 25.
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x), cos (x) and tan (x) , where:
[tex]sin(x)=\frac{opposite\ leg}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ leg}{hypotenuse} \\ \\ tan(x)=\frac{opposite\ leg}{adjacent\ leg}[/tex]
There is another important property, where h²=m*n. See the attached image.
From the previous informations presented, you can solve the given question.
From Pythagorean Theorem you can find h (heigth). Thus,
15²=9²+h²
h²=225-81
h²=144
h=12
If h=12 and m=9, from h²=m*n you can find n.
h²=m*n
12²=9*n
144=9n
n=144/9
n=16
Therefore, x= m+ n= 9+16=25.
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Which equation is represented by the graph below?
A y=In x-3
B y=In x-4
C y=e^3 -3
D y=e^3 -4
Answer:
D
Step-by-step explanation:
I assume that for C and D, you meant e^x.
Since the function is defined at 0, eliminate A and B (since ln 0 is undefined)
Between C and D, we know that when x=0, e^x = 1. Since the y intercept of the graph is -3, this means the equation is y = e^x - 4.
what’s 5x times 2-7 min
Answer:33
Step-by-step explanation: The expressions have equivalent values when x + 6
The expressions have equivalent values for any value of x.
When x=10 , both expressions have a value of 33.