Answer:
[tex]f(m) = 90000 - 0.05m[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$90000[/tex]
[tex]Spending = 15\%[/tex] -- every 3 months
Required
Determine the function that shows her monthly balance:
Represent month with m
If she spends 15% every 3 months;
Then
She spends 5% every month
i.e.
[tex]monthly = \frac{15\%}{3}[/tex]
[tex]monthly = 5\%[/tex]
If [tex]1\ month = 5\%[/tex]
Then
[tex]m\ months = 5\% * m[/tex]
Monthly balance (f(m) is then calculated as:
[tex]f(m) = Base\ Amount - Monthly\ Spending[/tex]
[tex]f(m) = 90000 - 5\% * m[/tex]
[tex]f(m) = 90000 - 0.05 * m[/tex]
[tex]f(m) = 90000 - 0.05m[/tex]
What are some examples of Adjacent Congruent Angles.
Answer:
base angles of an isosceles triangleangles at successive corners of any regular polygonangles either side of an angle bisectorangles made by a perpendicular to a line (excluding vertical angles)Step-by-step explanation:
When it comes to angles, the term "adjacent" means different things in different contexts. Any pair of angles in a triangle are considered to be adjacent. The base angles of an isosceles triangle are adjacent congruent angles.
Angles at successive corners of any regular polygon are congruent adjacent angles.
Angle that have a common vertex and a common side are also called adjacent angles. Angles on either side of an angle bisector are adjacent congruent angles. Likewise any non-vertical pair of angles where lines cross at right angles are adjacent congruent angles.
Evaluate the expression for g = 3. Write your answer as a decimal or whole number. 39(–0.5g + 2)^2 =
Answer:
9.75
Step-by-step explanation:
instructions in pic :)
Answer:
9.75
Step-by-step explanation:
g = 3
39(-0.5g + 2)²
plug in g
39(-0.5•3 + 2)²
solve within parentheses
39(-1.5 + 2)²
39(0.5)²
solve the exponent
39(0.25)
multiply
9.75
A square has a perimeter of 28 ft. What is the length of each side?
Answer:
7 Centimeters (CM)
Step-by-step explanation:
You want to divide the perimeter by 4 to find the individual lengths. (28/4) Therefore each side of the square is 7cm long.
You are increasing all sides by a scale factor of 3.
This gives each side a length of 21cm
Hope this helped!
Answer:
7ft
Step-by-step explanation:
A square has 4 congruent sides so that means all sides are the same.
28 ÷ 4 = 7
23=1/3b-2+4/3b
what is the value of b?
Answer:
b=15
Step-by-step explanation:
can someone help me with this please
Answer:
I think the answer is E.
Step-by-step explanation:
-3 -4= -7 and that's less than nine.
if x was 3 it would be -7 + 3 = -4 which is still less than nine
if x was -11 it would be -7 -11 = -18 which is also lower than nine
if x was -3 it would be -7 -3 = -10 that's less than nine as well
Answer:
I only
Step-by-step explanation:
I) 3
9 > -3 - 4(3)
9 > -3 - 12
9 > -15
9 is great than -15 so the value of 3 works.
II). -11
9 > -3 - 4(-11)
9 > -3 +44
9 > 41
9 is actually less than 41 so the value of -11 does not work
III). -3
9 > -3 - 4(-3)
9 > -3 + 12
9 > 9
9 is equal to 9, not greater than so the value of 3 does not work
Find the x- and y- intercepts of the linear equation y=x+5 x-intercept=? y-intercept=?
A worker finds that it takes 9 tiles to cover one square foot of floor. Which equation represents relationship between the square feet (f) and the number of tiles
I really really need help with this question!!! I do not know how to write it and everywhere else I've looked for help with this tries to make me pay to get help and an understanding. Will someone please help me with this???? I will give you "brainliest." I just REALLY need help with this one question. Someone please help me!!!
Answer: for part c the gas would not remain a liquid.
Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.
i do not know if this is correct but i did try so i am deeply sorry if this fails.
Today the temperature is 0 degrees Fahrenheit. The temperature rose
11 degrees Fahrenheit from yesterday's temperature.
What was yesterday's temperature?
Answer: -11 degrees Fahrenheit
Step-by-step explanation:
Find the slope of the line that passes through the points (3, 2) and (-2,-2). 0-4 4/5 5/4
Answer:
Step-by-step explanation:
8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that contains 60 fruit loops, how many will probably be yellow?
Answer:
12
Step-by-step explanation:
There are 2 yellow out of 10.
2/10 = 1/5
1/5 of the total number is yellow.
1/5 of 60 =
= 1/5 * 60
= 12
Answer: 12
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for m = –38.
–23(m + 39) =
Answer: -23
Step-by-step explanation:
Since we are given the value of m, all we have to do is to plug m into the expression and solve.
-23(-38+39) [parenthesis]
-23(1) [multiply]
-23
Now, we know that the expression is -23 when m=-38.
It says to solve for z, but don’t know how to.
Z-7x(-2)=-6
Answer:
z = - 6 - 14x
Step-by-step explanation:
Given
z - 7x(- 2) = - 6 , that is
z + 14x = - 6 ( subtract 14x from both sides )
z = - 6 - 14x
NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees
Answer:
y=5.44
Step-by-step explanation:
47+16y=134 subtract 47 from both sides
16y=87
y=5.44
A rectangular trampoline has an area of 187 square feet. The length of the trampoline is
What is its width? (Include the units)
O 11 feet
O 153 feet
17 feet
160 feet
Answer:
Its 17 feet and 11 units
Step-by-step explanation:
6+(-6) what is the answer to this I’m confused and I have test about this tommorow
Answer: The answer is 0
How many meters are there in 48 km?
3x-2=7????????????????
Answer:
x=3
Step-by-step explanation:
Step 1: Add two to 7 and inverse the minus 2
3x=7+2 3x=9
Step 2: Divide each number by 3.
3x/3=x and 9/3=3
so x=3
Which expression is equivalent to (X^5 +2X^2−4)−(−5X^5−3X^2+2X−7)?
Answer:
6[tex]x^{5}[/tex] + 5x² - 2x + 3
Step-by-step explanation:
Given
([tex]x^{5}[/tex] + 2x² - 4) - (-5[tex]x^{5}[/tex] - 3x² + 2x - 7)
Remove the parenthesis on the first factor and distribute the second by - 1
= [tex]x^{5}[/tex] + 2x² - 4 + 5[tex]x^{5}[/tex] + 3x² - 2x + 7 ← collect like terms
= 6[tex]x^{5}[/tex] + 5x² - 2x + 3 ← in standard form
100 students went on a field trip. 6 buses were filled and 10 students traveled to the destination in cars with their parents. How many students were on each bus?
Answer:
15 students on each bus!
Step-by-step explanation:
100-10(with parents)
90÷6(how many busses)
15 students on each
The students travelling on each bus are 15.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Total number of students is given as 100.
The students to travel on car are 10.
Then, the students to travel on bus are given by following operation as,
Total students - Students to travel on car
⇒ 100 - 10 = 90
Now, the students on each bus can be obtained by using the division operation as below,
Students to travel on bus ÷ Total number of bus
⇒ 90 ÷ 6 = 15
Hence, the number of students on each bus is obtained as 15.
To know more about arithmetic operation click on,
https://brainly.com/question/25834626
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Which numbers are a distance of 6 units from −2 on a number line
Answer:
-8 and 4 are 6 away from -2
Step-by-step explanation:
------/----------------------------------------/----
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7
simplify 3x+6=18, please
Answer:
x = 4
Step-by-step explanation:
Step 1: Write out equation
3x + 6 = 18
Step 2: Subtract 6 on both sides
3x = 12
Step 3: Divide both sides by 3
x = 4
Answer:
4
Step-by-step explanation:
3x +6 =18
3x =18 - 6
3x =12
x =12 :3
x =4
3<5+6h<10
please do step by step
Answer:
see explanation
Step-by-step explanation:
Given
3 < 5 + 6h < 10 ( subtract 5 from each interval )
- 2 < 6h < 5 ( divide each interval by 6 )
- [tex]\frac{1}{3}[/tex] < h < [tex]\frac{5}{6}[/tex]
One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
Answer:
20 seconds
Step-by-step explanation:
Alarm 1 = every 10 seconds
Alarm 2 = every 5 seconds
Alarm 3 = every 4 seconds
If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm
Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,
Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50
Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds
Therefore, they will all sound at the same time again in the next 20 seconds
Find each of the following using prime
factorisation
(a)
[tex] \sqrt[3]{3375} [/tex]
Answer:
15
Step-by-step explanation:
The product of the prime factors of 3375 are
3375 = 3³ × 5³, then
[tex]\sqrt[3]{3375}[/tex]
= [tex]\sqrt[3]{3^3(5^3)}[/tex]
= [tex]\sqrt[3]{3^3}[/tex] × [tex]\sqrt[3]{5^3}[/tex]
= 3 × 5
= 15
1) In a soccer game, the Eagles scored 7 points more than the Cougars. If the Cougars had scored 3 times as many
points, they would have scored 3 points more than the Eagles. How many points did each team score? Explain how
you solved this problem. Rubric: 3 points for the correct answer, 2 points for the explanation. (5pts total) Shou work
for credit. Solve using any method.
Answer:
the cougars scored 1 point and the eagles scored 8 points
Step-by-step explanation:
if the cougars would have scored 3 times more points they would have been at which means they scored 1 point because 1x3=3. and if the eagles scores 7 more points than the cougars they would have scored 8 points because 1+7=8. :)
Please help, appreciated!
Answer:
-8
Step-by-step explanation:
-4 | 5+m|
Let m = -3
-4 | 5+-3|
Solve inside the absolute values first
-4 |2|
The absolute value of 2 is 2
-4 * 2
-8
Answer:
the value of the expression is -8
Step-by-step explanation:
-4|5+m|Substitute m = -3 in the expression -4|5+(-3)|-4|2|the absolute value of 2 is 2 so -4(2)-8find the missing value
We can write a ratio:
15/5 = 36/x
Let "x" equal the unknown part of the triangle.
Solution:
15/5 = 36/x
~Cross multiply
15x = 180
~Divide 15 to both sides
x = 12
Best of Luck!
URGENT!!! Please help
Answer:
The 3rd answer i think
Step-by-step explanation:
POSSIBLE POINT
Evaluate each expression if a = 4, b = 6, and c = 2
What is
ab - c