Tom purchased international calling cards before traveling abroad. He bought a 60-minute card for $9.99, a 90-minute card for $14.29, a 100-minute card for $17.99, and a 200-minute card for $29.49. After using all of his calling cards, Tom used his mobile phone for 38 minutes at a rate of $2.99/minute.
The amount spent on calls per minute is an illustration of unit rates.
The amount spent on the 38-minute call is $113.62
The given parameters are:
[tex]\mathbf{Rate = \$2.99/minute}[/tex]
[tex]\mathbf{Time = 38\ minutes}\\[/tex]
So, the amount spent on call is:
[tex]\mathbf{Amount = Rate \times Time}[/tex]
This gives
[tex]\mathbf{Amount = \$2.99/minute \times 38\ minutes}[/tex]
Cancel out minutes
[tex]\mathbf{Amount = \$2.99 \times 38}[/tex]
[tex]\mathbf{Amount = \$113.62}[/tex]
Hence, the amount spent on the 38-minute call is $113.62
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algebra help please!!!!!!!
Answer:
The answer is c I hope this helps
Write the equation for the line that passes through ( - 8, - 4 ) and ( -6, - 1 ) in slope-intercept form.
Step-by-step explanation:
y=(3/2)x +8
that is the answer
The equation of the line is y = (3/2)x + 8 if the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The line that passes through (-8, - 4 ) and ( -6, - 1)
The standard form of the line in slope-intercept form:
y = mx + c
Here m is the slope of the line
c is the y-intercept.
As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{-1-(-4)}{-6-(-8)}[/tex]
m = 3/2
y = (3/2)x + c
Plug x = -8, y = -4
-4 = (3/2)(-8) + c
c = 8
y = (3/2)x + 8
Thus, the equation of the line is y = (3/2)x + 8 if the line that passes through ( - 8, - 4 ) and ( -6, - 1 ).
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hello please help me
Answer:
perimeter is 9+7.5+6=22.5cmwe know that area is(1/2* base *height)=1/2*9*4.2
=18.9square cm
Answer:
Perimeter: 6 + 7.5 + 9 = 22.5
area: 18.9
Step-by-step explanation:
ok this is stressin me out anyone know this
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
A fair die is rolled 11 times. What is the probability of rolling a 4 on the die 4 times? Express your answer as a decimal rounded to 4 decimal places after the decimal point.
i think it’s 4/11
check out my other answers and mark me brainliest please !!!!
The probability of rolling a 4 on the die 4 times out of the total 11 times that it was rolled is; 0.0007716
How to solve probability?We are given;
Number of times dice is rolled = 11
Now, on a die, there are 6 numbers and as such probability of getting a 4 is; P(getting a 4) = 1/6
Thus;
probability of rolling a 4 on the die 4 times = (1/6)⁴
⇒ 0.0007716
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Angle ABC measures 35 and angel BAC meausures 115
Answer:
a. 115 degrees
b. 35 degrees
c. 30 degrees
Step-by-step explanation:
Evaluate - 24-(-18) = 6.
Answer:
False
Step-by-step explanation:
-24-(-18) is -6 not 6 so it would be untrue
Plz help I need help
If the formula is D=M/V and we know D=2.70 and V=60 how to we solve for M?
Answer:
d=140
v=60
140.60=8400 its m
Help!! I’m not sure what to do
Answer:
h=23
Step-by-step explanation:
triangle equals 180 degrees
180-40=140
140/4=35
Find x Please Help Thank You
uhhhhhhhhhhhhhhhhh i have no clue so sorry
Answer quickly! [tex]x^{2} = 6[/tex]
[tex]x = \pm \sqrt{6}[/tex]
Simplify 12 to the power of 3 over 12 to the power of 7
A). 12 to the power of 4
B). 12 to the power of 10
C). 1 over 12 to the power of 4
D). 1 over 12 to the power of -4
Answer:
The correct answer I think is D
Step-by-step explanation:
The explanation of the other person is right, but you do 3-7, which gives u -4
what is the slope of the line containing the points (3,-7) and (-3,7)
Answer:
-7/3
Step-by-step explanation:
To find the slope, we use the slope formula
m= ( y2-y1)/(x2-x1)
= ( 7 - -7)/(-3 -3)
= ( 7+7)/( -6)
= 14/-6
= 7/-3
= -7/3
Step-by-step explanation:
m = y2-y1 / x2-x1
= 7+7 / -3-3
= 14/-6
= -7/3
eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help
Answer:
200
Step-by-step explanation:
dude ur in college how do you not know this?
To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.90 and hour. The math club wants to spend less than $123.10 on renting the meeting room. What are the possible amounts of time that they could rent the meeting room? use t for the number of hours the meeting room is rented
Answer:
9 hours
Step-by-step explanation:
Firstly,
Minus $123.10 with $34
123.10-34
= 89.10
(bcuz $34 is the reservation fee)
Secondly,
Divide $89.10 with $9.90 to determine the hours
t = 89.10/9.90
= 9
Last answer = 9 hours
A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?
Answer:
20 million vehicles in total
Step-by-step explanation:
25%=1/4
5 million vehicles = 25%
100%/25%=4
5 million * 4 = 20 million vehicles in total
Can someone please help me on this problem I’m struggling
Answer:
No pictures so can't help ya.
g An employee joined a company in 2017 with a starting salary of $50,000. Every year, the employee receives a raise of $1,000 plus 5% of the salary of the previous year. (a). Set up a recurrence relation for the salary of the emplyee n years after 2017. A recurrence relation of a sequence is an equation that express a subscript n using one or more of previous terms. (b). What will be the salary of the employee in 2025
Answer:
a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000
b) $83,421.88
c) s[n] = 70000·1.05^n -20000
Step-by-step explanation:
a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...
s[0] = 50000 . . . . the recursion relation initial condition
The next year, the salary is multiplied by 1.05 and 1000 is added:
s[1] = 1.05·s[0] +1000
This pattern repeats, so the recursion relation is ...
s[n] = 1.05·s[n-1] +1000
__
c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).
The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...
base salary after n years = 50,000·1.05^n
The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:
sum = a1(r^n -1)/(r -1) . . . . . (see note below)
sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)
So, the total salary after n years is ...
s[n] = 50000·1.05^n + 20000(1.05^n -1)
The exponential terms can be combined, so we have the explicit formula ...
s[n] = 70000·1.05^n -20000
__
b) The year 2025 is 8 years after 2017, so we want to find s[8].
s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000
= 103,421.88 -20000 = 83,421.88
In 2025, the employee's salary will be $83,421.88.
_____
Note on the sum of the add-ons
A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....
The sum of such a geometric sequence has the formula
Sn = a1·(r^n -1)/(r -1)
Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as
Sn = 20000·(1.05^n -1).
Jeffrey makes 3% commission on
his sales. If his sales total $1800
this week, how much money will he
make?
Answer:
He will make $54
HII i really need help
Answer:
when in doubt choose c
Step-by-step explanation:
Answer: 11/48 cubic feet
Step-by-step explanation:
alright ill try my best to explain
so you use the formula V = 22/21r^2h
where V is volume
r is radius
and h is height of cone
you simply plug in the values given in the question, so
V=22/21*1/2^2*7/8
so the answer would be 11/48 cubic feet
Is is possible to divide Pi aka : 3.14159
Answer:
If you WANT to divide pi, there is half a pi left.
Step-by-step explanation:
There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.
(if that makes sense! sorry if it doesn't :\ )
Round the number 245,382 to the nearest given place value.
13. hundred
14. ten-thousand
16. ten
15. thousand
The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
The given number 245,382 can be rounded off to the nearest given place values as,
A.) hundred
The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.
245,400
B.) ten-thousand
The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.
250,000
C.) ten
The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.
245,380
D.) thousand
The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.
245,000
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Simplify this expression 5xy - x2 + 2xy + 3x2
Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...
Step-by-step explanation:
Answer:
2 [tex]x^{2}[/tex] + 7 x y
Step-by-step explanation:
The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have.
Which of the following are categorical (or qualitative) variables in these records?
Current Grade Level
Mathematics Test Score
Disabilities or Special Needs
Reading Test Score
Days Absent
Age
Race or Ethnicity
Answer:
Disabilities or Special Needs, Race or Ethnicity
Step-by-step explanation:
these are categories, while the rest are numbers
According to the given data, the categorical (or qualitative) variables are Disabilities or Special Needs, Race or Ethnicity.
What is categorical (qualitative) variables?A qualitative variable is a categorical variable which is not numerical, it is based on quality that describes the characteristic of an individual.
What is Disability or Special Need?"In clinical diagnostic and functional development, special needs refers to individuals who require assistance for disabilities that may be medical, mental, or psychological."
What is Race?"The belief that some races of people are better than others; unfair ways of treating people of different races"
What is Ethnicity?"An ethnic group or an ethnicity is a grouping of people who identify with each other on the basis of shared attributes that distinguish them from other groups."
As we know each discussed variable Disability or Special Needs, Race, and Ethnicity describes the characteristics of an individual. Hence, Disabilities or Special Needs, Race or Ethnicity are the qualitative variables.
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lost on what to do here.
Answer:
x = 45
Step-by-step explanation:
180-136 = 44
x - 1 = 44
x = 44 + 1
x = 45
x = 45°
Step-by-step explanation:
The two angles are supplementary so
[tex]136° + (x-1) = 180°[/tex]
[tex]\Rightarrow x - 1 = 44°[/tex]
or
[tex]x = 45°[/tex]
Find k if X=2 and y=1 is a solution of 2x-8y+k/2=0
Answer:
k=2
Step-by-step explanation:
2x-8y+k/2=0
puting the values of x and y
2*2-8*1+k/2=0
4-8+k/2=0
-4+k/2=0
k/2=4
sing changes if side changed
k=4/2
k=2
We first substituted the X and Y in the equation, so 2 instead of X and 1 instead of Y.
Then I moved the K to make it the subject of the equation by algebra which gave me a -K, but I want k not negative k so I multiplied everything by -1 because, -1 × -1= +1 so K=2.
Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place
Step-by-step explanation:
the area =
[½(8+2)×4] + [½×3.14×1²]
= 20 + 1.57
= 21.57
= 21.6
