Answer:
a) $141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b) $244.4
Step-by-step explanation:
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
If a customer uses 330 minutes, the monthly cost will be $141.5.
y = mx + b
$141.5 = 330m + b
If the customer uses 890 minutes, the monthly cost will be $337.5.
$337.5 = 890m + b
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b. Use your equation to find the total monthly cost if 624 minutes are used
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
We Subtract Equation 2 from 1
-196 = -560m
m = -196/-560
m = 0.35
$337.5 = 890m + b..... Equation 2
$337.5 = 890 × 0.35 + b
$337.5 - 311.5 = b
b = 26
When x = 624
y = 624× m + b
m = 0.35 , b = 26
y = 624 × 0.35 + 26
y = 218.4 + 26
y = $ 244.4
$9000 was borrowed from two sources, one that charges 20% simple interest and the other that charges 5% simple interest. If the total interest at the end of 1 year was $1500, how much money was borrowed from each source?
Answer:
The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Step-by-step explanation:
Let x represents the amount borrowed at 20% simple interest.
Let y represents the amount borrowed at 5% simple interest.
Therefore, the amount borrowed at 5% simple interest will be:
y = 9000 - x ........................... (1)
As a result, we will have:
20%x = interest at the end of 1 year from the amount borrowed at 20% simple interest
5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest
Since the total interest at the end of 1 year was $1500, we have:
20%x + 450 - 5%x = 1500
We can now solve for x as follows:
20%x - 5%x = 1500 - 450
15%x = 1050
x = 1050 / 15%
x = 7000
Substituting x = 7000 into equation (1), we have:
y = 9000 - 7000
y = 2000
Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Does anyone know the answer to this question?
3x+6= -3(2x+4)
Answer:
x + -2
Step-by-step explanation:
(editing answer to add how i got it)
3x +6=-3 (2x +4)
-3 (2x +4)
Multiply using the distributive property.
− 6 x − 12 /2
3(2)(-3x - 4)
divide these by 2 will get you
SO ITS 3(2) +6 = 3(2) (2x +4)
Answer:
-2
Step-by-step explanation:
PLEASE HELP
3. The function E(v)= 15v^2 / 2 models the
kinetic energy E in joules of an object
with a mass of 15 kilograms, where v is
the velocity of the object in meters per
second. Write the inverse function v(E) to
find the velocity of a 15-kilogram object
with kinetic energy E.
Answer:
i think it is 15v (E) = √(2E/m)
Step-by-step explanation:
From the question given:
E = ½mv²
E is the kinetic energy
m is the mass of object
v is the velocity.
To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.
This can be obtained as follow:
E = ½mv²
Cross multiply
mv² = 2E
Divide both side by m
v² = 2E/m
Take the square root of both side
v = √(2E/m)
Therefore, the model v(E) for the velocity of the object is given by:
v (E) = √(2E/m)
The inverse function v(E) to find the velocity of a 15-kilogram object
with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]
Calculation of the inverse relation:Since we know that
[tex]E = 1\div 2mv^2[/tex]
Here,
E is the kinetic energy
m is the mass of object
v is the velocity.
Now we can write like
[tex]mv^2 = 2E[/tex]
So,
[tex]v^2 = 2E/m[/tex]
Now Take the square root of both side
So,
[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]
Learn more about function here: https://brainly.com/question/24580305
A university president's salary for the 2012-2013 academic year was $490,000. Calculate his 2013-2014 salary if he received a 2.7% raise
Answer:
His 2013-2014 salary will be $503,230
Step-by-step explanation:
His new salary will be
490,000 + 2.7% of 490,000
= 490,000 + (2.7/100 * 490,000)
= 490,000 + 13,230
= $503,230
Help me please I will mark as brainliest!!
Answer:
A is answer
Step-by-step explanation:
Cuz once you solve it isn't a fraction any more
I think
What is 2 divided by 1/6?
1/12
2
6
12
ASAP pls
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{12}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2 \div \frac{1}{6}} [/tex]
We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator.
[tex] : \longrightarrow{ \: 2 \times \frac{6}{1} }[/tex]
Multiply
[tex] : \longrightarrow{ \boxed{ \bold{ \text{12}}}}[/tex]
And we're done!
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
D. 12
Step-by-step explanation:
2 = 2/1
2/1 ÷ 1/6 =
2/1 × 6/1 =
12/1 = 12
7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles
y=_x+_ what would be the answer
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
You randomly choose two shapes from the bag, with replacement. Find the probability of choosing two squares. Write your answer as a fraction in simplest form.
Answer:
1/2 because that %50
Step-by-step explanation:
Answer:
1/35
Step-by-step explanation:
Given thesinθ = 8/17 the ratio for cosine of θ is
. Enter your answer as a fraction.
Step-by-step explanation:
using Pythagoras theorem adjacent will be 15
so cos will be adjacent/hypotenuse
which is 15/17=0.882
Directions. Answer the question about rate, ratios, and proportions.
What value will make this an esu valent ratio?
37 and
21
Answer:
37
Step-by-step explanation:
37
Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
Answer:
can you help me if I help you plz
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
Learn more about the linear equation here:
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#SPJ5
Can someone help me with these three math problems pleaseeeeeeeeeee
Answer:
75 should be the answer
2. A shop owner raises the price of a $100 pair of shoes by 50%. After a few weeks,
because of falling sales, the owner reduces the price of the shoes by 50%. A
customer then says that the shoes are back at the original price.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. What do the shoes actually cost now?
d. By what percent should the shoes be decreased in order to have the price
back at $100?
Kk
Answer:
the customer is wrong
Step-by-step explanation:
when he raised then 50 % they became $150 and then If you do the work 50% of $150 is $75 .
100+%50
150
150-%50
75
The customer is wrong because the new price of the shoe is $75 and not $100.
When the shop owner raises the price of a $100 pair of shoes by 50%, then the new price will be:
= $100 + (50% × $100)
= $100 + $50
= $150
Then, the owner reduces the price by 50%, then the new price will be:
= $150 - (50% × $150)
= $150 - $75
= $75
Therefore, the new price is $75.
Read related link on:
https://brainly.com/question/19539439
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?
Answer:
3 zeros
Step-by-step explanation:
The fundamental theorem of algebra states that any polynomial with degree m>0 and complex coefficients has at least one complex root. Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.The given function is 4x^3-x^2-2x+1
Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.
Answer:
Step-by-step explanation:
4x3 − x2 − 2x + 1
I show one zero. X= - 0.78769256
PLS HELP ME WITH THIS WHOEVER ANSWERS FIRST AND/OR THE BEST I WILL GIVE YOU BRAINLIEST WORTH 40 POINTS!!!!!!!!
Answer:
Sorry Its too small
Step-by-step explanation:
What additional information would you need to prove by the HL theorem?
Answer:
Answer: A [tex]\overline{TM}\cong \overline{OR}[/tex]
Step-by-step explanation:
The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.
Both triangles are right because they have an internal angle of 90°, so the second condition is also met.
Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.
One of these two conditions should be met:
Side TM is congruent to side OR, or
Side MO is congruent to side RT.
From the available options, only the first is correct.
Answer: A [tex]\mathbf{\overline{TM}\cong \overline{OR}}[/tex]
Jquan rides his bike at the rate of 16 m in eight minutes how long does it take him to travel per meter
Answer:
.5 of a minute
Step-by-step explanation:
What is the value of x 3x 2x 55
Answer:
25
Step-by-step explanation:
3x+2x+55=180
5x+55=180
5x=180-55
5x=125
X=125/5
X=25
So the value of X is 25
Add: - 9/10 + 3/14
Give your answer in reduced terms.
Answer:
-24/35
Step-by-step explanation:
Find common denominators
140 is one
So, -126/140 + 30/140
This would be -96/140
Simplify
-48/70
Simplify some more
-24/35
Hope this helps :)
Please consider Brainliest :)
Answer:
-24/35
Step-by-step explanation:
Giving the fractions a common denominator:
-126/140 + 30/140
Adding:
-96/140
Dividing the numerator and denominator by 4:
-24/35
the sale of sneakers increased 150% from last year last year the company sold 1,250 sneakers how many sneakers were sold this year?
A) 625
B) 1,312
C) 1,875
Answer:
Step-by-step explanation:
150% is equivalent to 1.5 so the answer is:
1250 * 1.5
= 1875.
Answer:
1875
Step-by-step explanation:
Can someone help me with this?
Answer: 121
Step-by-step explanation:
11 x 11 is 121 so same number of rows and columns
Answer:
1260=(2-n)180
1260=360-180n
1260_360=-180n
900= -180n
n=900/-180
n= -5
n=
900/-180
Do you guys know this?
Answer:
3
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's look at g(3) first. It is stated in the problem that g(3) = 2.
We then use this value for f(x). It is stated in the problem that f(2) = 3.
The answer is 3.
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.
Answer:
The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".
Step-by-step explanation:
[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]
[tex]= \frac{-20}{20} \\\\=-1[/tex]
It found a p-value from its empirical rule:
[tex]\to P(\bar{x}<170) = 0.1587[/tex]
What is the value of x ?
Answer:
5 units
Step-by-step explanation:
BD is geometric mean ⇒ BD² = AD × DC
4x² = 10² and x > 0
x² = 25
x = 5 units
Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?
Answer:
6
Step-by-step explanation:
6/1=6
HELP PLSSSSSSSSSSSS!!!!!!!!!!!!!!
Several pennies are placed along a meter stick and the position in centimeters of each penny is recorded. The mean position is the 50-centimeter mark and the MAD is 10 centimeters. What information does this tell you about the position of the pennies along the meter stick?
I NEED ANSWER FAST!!!!!!!!!!!!!!!!!!! DONT WASTE TIME IF YOU DONT KNOW WHAT IT IS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
60
Step-by-step explanation:
Before the election, you want to determine the number of possible president/vice-president combinations for the honor society you belong to. If both positions are chosen from ten people, how many combinations are possible?
90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.
Of the 100 oil paintings at the museum, 28 were portraits. What percentage of the oil paintings on display were portraits?
Answer:
28/100 * 100
the answer is 28 %