A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. Which function can be used to find the total cost T(h) hours of tutoring?
Answers
Answer:
T(h)=40h+20
Step-by-step explanation:
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Related Questions
You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the first year? How much at the end of one year?
Answers
Answer:
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00. The total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.Step-by-step explanation:
a) How much will you have at the middle of the first year?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
where
Principle = PAnnual rate = rCompound = nTime = (t in years) A = Total amountGiven:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 0.5 years
To determine:
Total amount = A = ?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}[/tex]
[tex]A=300\cdot \frac{2.06}{2}[/tex]
[tex]A=\frac{618}{2}[/tex]
[tex]A=309[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
Part b) How much at the end of one year?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
where
Principle = PAnnual rate = rCompound = nTime = (t in years) A = Total amountGiven:
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 1 years
To determine:
Total amount = A = ?
so using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
so substituting the values
[tex]A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}[/tex]
[tex]A=300\cdot \frac{2.06^2}{2^2}[/tex]
[tex]A=318.27[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
The sum of two numbers, a and b, is 75. The sum of 2a and 3b is 202. What is the difference between the two numbers?
Answers
Answer:
29
Step-by-step explanation:
a=23
b= 52
multiply eq. i with 2 then subtract from eq. ii
Answer:
the answer is -29 and -110
The lengths of a professor's classes has a continuous uniform distribution between 60.0 min and 90.0 minutes. If one such class is randomly selected, find the probability that the class length is less than 76 min.
Answers
Answer:
0.533
Step-by-step explanation:
Given that :
Class length has a Continuous uniform distribution between 60 - 90 min
Lower limit (L1) = 60
Upper limit (L2) = 90
Probability that class length is less than 76 min
P(x < 76):
(x - L1) / (L2 - L1)
(76 - 60) / (90 - 60)
16 / 30
= 0.533
P(x < 76) = 0.533
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.
Answers
Answer:
Hi. I think the answer is b. Please correct me if I'm wrong!
Step-by-step explanation:
Answer:
deffinetly b.
Step-by-step explanation:
If my dog is yellow and red on the tail blue on it’s left foot how much does he weigh and is he orange?
Answers
seventy five pounds
Step-by-step explanation:
because the colors make him heavy duh
Use the Distributive Property on the
equation below.
3(4y + 3) = [ ? ]y +[ ]
Answers
Answer:
12y+9
Step-by-step explanation:
Matthew purchased a desk that was on sale for 45% off the orginal price of $480.If the sales tax was 8% (of the sale price), how much did mattew spend on the desk
Answers
Answer:
285.12
Step-by-step explanation:
discount amount = 45/100 x 480= 45x48/10
=216.0
price after discount= 480-216=264
sales tax= 8/100 x 264=21.12
total money spent = 264+21.12=285.12
45% of 480
= 45/100 x 480
= 0.45x480
=216
=480-216
=264
8% of 264
= 8/100 x 264
= 0.08 x 264
= 21.12
= 264 + 21.12
=285.12
Therefore, he paid $285 and 12 cents
50 POINTS I NEED THIS IM CONFUSED
The distance between two points is 6√5. One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 7. What is the x-coordinate of this endpoint?
Answers
Will give BRAINLIEST!!!!
Does coordinate mmm or coordinate nnn represent a greater number?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
mmm
(Choice B)
B
nnn
Answers
Answer:
your day going so far so good 1
Answer:
lol your right
Step-by-step explanation:
PLEASE I NEED HELP WITH MATH HOMEWORK
I need explanation too!!!
Question: find the value of the varible
Answers
Answer:
x=50
Step-by-step explanation:
3x+30=180
3x=150
x=50
Answer:
Step-by-step explanation:
we know something about the angles of a triangle already
A + B + C = 180°
soooo...
X + X + (X+30)= 180
3X + 30 = 180
3X = 150
X = 50 °
does that makes sense?
Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second car? Image of a coordinate grid with point R R located at negative 1, negative 3. (−1, −3) (−1, 3) (5, −3) (5, 3)
Answers
Answer:(-1, 3)
Step-by-step explanation:
Find the domain of the function h(t)=4-t^2\2-t
Answers
Step-by-step explanation:
(4-t)(4-t)/2-t
t^2-8t+16/2-t
the domain is all real number without 2
Triangle a is reflected in the x- axis to give b. triangle b is reflected in the y-axis to give c. Describe fully the single transformation that maps A onto C
Answers
Answer:
rotation 180˚, rotation at origin
Step-by-step explanation:
Ratios equivalent to 4:14
Answers
Answer:
2:78:2812:42Step-by-step explanation:
4:14
divide by 2 on both sides and its
2:7
__________________________________________________________
4:14
multiply by 2 on both sides and its
8:28
__________________________________________________________
4:14
multiply by 3 on both sides and its
12:42
__________________________________________________________
You can keep on multiplying each side by other numbers as well
Hope this helped!
Jessica has one piece of ribbon that is 6 2/3 yards long and one piece that is 5 1/3 yards long. What is the total length, in feet, of the two pieces of ribbon?
Answers
Step-by-step: 6 2/3 + 5 1/3 = 12
12 x 3 = 36
4n+2 (n+1) >n+52 Please solve this inequality fast.
Answers
Answer:
n>10.2 or n>51/5
Step-by-step explanation:
4n+2(n+1)>n+52 distribute 2 to everything in the parentheses
4n+2n+1>n+52 combine like terms
6n+1>n+52 subtract 1 from both sides
6n>n+51 subtract n from both sides
5n>51 divide both sides by 5
n>10.2
Answer:
n>10.2
Step-by-step explanation:
Help me please will give points
Answers
Answer:
1) x=-1
Step-by-step explanation:
The red one is 3x+4
The green one is x+2
PLS help. will give brainliest to first answer 6(7)/3
Answers
Answer:
14
Step-by-step explanation:
Answer:
It has to be 14
Step-by-step explanation:
42/3 is 14
Find the measure of the indicated angle to the nearest degree
Answers
Write the product in its simplest form:
7x^6 y^3 • (-7y^2)
Please explain this to me when you answer it
Answers
Step-by-step explanation:
7x6y².y.(-7y²)
7y²[x6y-1]
Answer:
-49x^6y^5
Step-by-step explanation:
multiply the like terms (7y^3 and -7y^2)
7*-7 = -49
y^3+2 = y^5
combine the terms
-49x^6y^5
apply the distributive property to factor out the greatest common factor
18d + 12=
Answers
The Positive Z-Equal Line, the Negative Z-Equal Line, and the Regression Line all pass through the same point. What are the standardized coordinates of this point
Answers
Answer:
The standard coordinates of the point are ; ( 0,0 )
Step-by-step explanation:
The standard coordinates of the point are ; ( 0,0 ) also the standard values of the means will also be ( 0, 0 )
This is because for the Positive Z-equal line, Negative Z-Equal line and Regression line to all pass through the same point indicates dependent and independent variables of the Z-score and regression lines respectively
in a class of 25 students, 80% attended a field trip how many students went on the field trip?
20
15
5
8
Answers
Answer:20
Step-by-step explanation:
Help me pls I need help asap
Answers
Translate the phrase into a variable expression. Use the letter e to name the variable. If necessary, use the asterisk ( * ) for multiplication and the slash ( / ) for division.
... The number of seats in boxer stadium minus 15 ...
Answers
The mathematical expression of the phrase is e - 5
How to translate the phrase?The phrase is given as:
The number of seats in boxer stadium minus 15
The variable is represented with the letter e.
So, we have:
e minus 15
Express minus with the symbol -
e - 5
Hence, the mathematical expression of the phrase is e - 5
Read more about mathematical expression at:
https://brainly.com/question/723406
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Answer:
s-15............... m
What is the volume of a cube that has a face diagonal of 5 cm? (to the nearest whole number)
5 cm3
18 cm3
25 cm3
43 cm3
Answers
Answer:
the aswersxis 45
Step-by-step explanation:
Nina bought 3.45 pounds of walnuts and 1.83 pounds of almonds. How many more pounds of walnuts did she buy than almonds
Answers
Answer:
subtract them
Step-by-step explanation:
Reduce fractions to lowest terms
3/8 + 1/3
Answers
The requried reduced fraction of the given fraction is given as 17/24.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given fraction,
= 3 / 8 + 1 / 3
= [3 × 3 + 1 ×8] / 8×3
= 9 + 8 / 24
= 17/24
Thus, the requried reduced fraction of the given fraction is given as 17/24.
Learn more about fractions here:
https://brainly.com/question/10708469
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what polynomial should be subtracted from 3x^2+4x-1 to get the difference equal to 0
Answers
Answer:
[tex] {x}^{2} + \frac{4}{3} x - \frac{1}{3} [/tex]
can be subtracted
True or False ( and justity : When multiplying polynomials of degree or greater together the degree of the product polynomial will be greater than either of the original factors.ASSSSAAAAP!!!!!
Answers
Answer:
True
Step-by-step explanation:
plz mark brainliest!