evaluate -4 1/3 + 5 2/3 show work
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kostas gets a four year bank loan to buy a new car that is priced at 20,987. after four years Kostas Will have paid the bank it’s total of $22,960. what interest rate did the bank give him if the interest was compounded monthly. Show your work .
Answers
Answer:
r = 2.04%
Step-by-step explanation:
r = n{(A/P)^1/nt - 1}
Where,
r = interest rate = ?
n = number of periods = 12
A = future value = $22,960
P = present value = $20,960
t = time = 4 years
r = n{(A/P)^1/nt - 1}
r = 12{(22,960/20,987)^1/12*4 - 1}
= 12{(1.09)^1/48 - 1}
= 12{(1.09)^0.02 - 1}
= 12 (1.0017 - 1)
= 12(0.0017)
= 0.0204
r = 0.0204 × 100
= 2.04%
r = 2.04%
The average winter temperature at the South Pole is -49 degrees Celsius. The coldest temperature recorded in Antarctica was 40.6 degrees Celsius colder than the average winter temperature at the South Pole. What was the coldest recorded temperature in Antarctica?
Answers
Answer:
The coldest temperature at Antarctica is -89.6 degrees celsius
Step-by-step explanation:
Here, we are interested in calculating the coldest temperature in Antarctica.
In the question, we are simply told that the coldest Antarctica temperature was 40.6 colder than the average winter temperature at the south pole.
The average winter temperature at south pole = -49 degree celsius
The coldest temperature is thus -49-40.6 = -89.6 degrees celsius
Answer:
95
Step-by-step explanation:
PLZ HALP!!!!
You earned $96 babysitting for 12 hours last weekend. Write and solve a proportion to find how much you earned per hour?
Answers
Answer:
$8 per hr
Step-by-step explanation:
divide $96 by 12 hrs
Answer:
$20
Hope this helps! :)
Asap need help um plz help
Answers
Answer:
3/5
-----------------
the answer is the first one, 3/3.
Find the next 3 numbers in the pattern. Answer must be written in decimal form.
5.9, 5.6, 5.3, 5.0,
Answers
Answer:
4.7, 4.4, 4.1
Step-by-step explanation:
Find the pattern in the given numbers. Each number is .3 less than the previous number so you would keep subtracting .3 each time.
Answer:
Easy. 4.7,4.4,4.1. You're just subtracting .3.
Step-by-step explanation:
Write an interpretation of the statement f(3) = 75.
Answers
Given:
The statement is
[tex]f(3)=75[/tex]
To find:
The interpretation for the given statement.
Solution:
We know that,
[tex]f(x)=y[/tex] ...(i)
Here, x is the input value and y is the output value.
We have,
[tex]f(3)=75[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]x=3,y=75[/tex]
It means, the output value of the function f(x) is 75 at x=3.
50 points!!!!!!!
Write an equation to represent the sum modeled in the following number line.
Answers
Answer:1 and 1/3
Step-by-step explanation:
Which point on the number line represents the product (5) (negative 2) (negative 1)?
A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.
Point A
Point B
Point C
Point D
Answers
Point C
Hope This helps!! : }
The point D represents the product of the three integers.
What is Number Line?Number line is defined as the straight line drawn horizontally where the integers are placed at an equally spaced way.
Integers includes natural numbers, 0 and negative of the natural numbers.
Given is the three numbers 5, -2 and -1.
We have to find the product of these three numbers.
When multiplying integers, negative multiplied to negative and positive multiplied to positive gives positive. If one of the number is negative and other is positive, then the result is negative.
(5) (-2) (-1) = (5 × -2) (-1)
= (-10) (-1)
= 10
Hence the product of the three integers 5, -2 and -1 is 10 which is marked as point D on the number line.
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Emily sold 140 boxes of cookies for a fundraiser. If she sold 80% of the total number of boxes sold for the fundraiser, how many total boxes of cookies were sold for the fundraiser?
Answers
Answer:
175
Step-by-step explanation:
140 is 80% of 175
y = -1.25x - 2
y = - 25x + 2
please help, and show me how to get the answer please :)
Answers
Using a Graph to Understand a Linear Function
ty
160
120
Height of Tree (inches)
The graph shows the growth of a tree, with x
representing the number of years since it was planted,
and y representing the tree's height (in inches). Use
the graph to analyze the tree's growth. Select all that
apply.
The tree was 40 inches tall when planted.
The tree's growth rate is 10 inches per year.
The tree was 2 years old when planted.
As it ages, the tree's growth rate slows.
Ten years after planting, it is 140 inches tall.
80
(5, 90)
|(2,60)
X
6
8
Years since Planting Tree
Answers
Answer:
The tree was 40 in tall when planted
The tree's growth rate is 10in per year
Ten years after Planting, it is 140 inches tall
Step-by-step explanation:
original(slope intercept form) : y = 10x + 40
y = 10(10) + 40
y = 100 + 40
y = 40
If sin α + cos α =1.2, find sin α · cos α .
Answers
Squaring on both sides we get,
(Sina)^2+2sina.cosa+(cosa)^2=1.44
(sina)^2+(cosa)^2+2sina.cosa=1.44
1+2sina.cosa=1.44
2sina.cosa=1.44-1
2sina.cosa=0.44
sina.cosa=0.22
PLEASE HELP:
What translation vector translates A(−2,7) to A′(5,−1)?
A. (3,-6)
B. (7,-8)
C. (3,6)
D. (-7,8)
Answers
Answer:
A=(4−10,−7+5)=(−6,−2)
Answer:
B. (7,-8)
Step-by-step explanation:
An office building is 111ft high. About how tall is this in meters?
Answers
Answer:
33.8328
Step-by-step explanation:
Divide the length value by 3.281
Carolyn has 20 biscuits in a tin.
She has
12 plain biscuits
5 chocolate biscuits
3 ginger biscuits
Carolyn takes at random two biscuits from the tin.
Work out the probability that the two biscuits were not the same type.
4 Marks
Answers
Answer:
Approximately 58.4%
Step-by-step explanation:
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
P(plain, plain) = (12/20) (11/19) = 132 / 380
P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
P(currant, currant) = (3/20) (2/19) = 6 / 380
P(same) = 132/380 + 20/380 + 6/380
P(same) = 158/380
P(same) = 79/190
Therefore, the probability that they are different is:
P(different) = 1 − 79/
[tex]\frac{111}{190}[/tex] is the probability that the two biscuits were of not the same type.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, Carolyn has 20 biscuits in a tin.
She has 12 plain biscuits, 5 chocolate biscuits and 3 ginger biscuits
Carolyn takes at random two biscuits from the tin.
We have to find out the probability that the two biscuits were of not the same type.
P(plain biscuit, plain biscuit) [tex]=(\frac{12}{20} )(\frac{11}{19} )=\frac{132}{380}[/tex]
P(chocolate biscuit, chocolate biscuit)[tex]=(\frac{5}{20})(\frac{4}{19} )=\frac{20}{380}[/tex]
P(ginger biscuit, ginger biscuit)[tex]=(\frac{3}{20}) (\frac{2}{19})=\frac{6}{380}[/tex]
Probability of same type of biscuits
[tex]=\frac{132}{380} +\frac{20}{380}+\frac{6}{380}[/tex]
[tex]=\frac{79}{190}[/tex]
The probability that the two biscuits were not of the same type.
[tex]=1-\frac{79}{190}[/tex]
[tex]=\frac{111}{190}[/tex]
Hence, we can conclude that [tex]\frac{111}{190}[/tex] is the probability that the two biscuits were not of the same type.
Learn more about probability here:
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Kevin started a ping pong club at his school, and the table shows the number of participants in the club over several years. Find the rate of change in the number of participants.
16 is not an answer for me on my assignment. What should I do?
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3. A water balloon was thrown
from a window. The height
of the water balloon over
time can be modeled by the
function y= 16x2 + 160x + 50.
What was the maximum
height of the water balloon
after it was thrown?
Answers
Note: It the given equation the coefficient of [tex]x^2[/tex] must be -16 instead of 16.
Given:
Consider the height of the water balloon over time can be modeled by the function
[tex]y=-16x^2+160x+50[/tex]
To find:
The maximum height of the water balloon after it was thrown.
Solution:
We have,
[tex]y=-16x^2+160x+50[/tex]
Here, leading coefficient is negative. So, it is a downward parabola and vertex of a downward parabola, is the point of maxima.
If a parabola is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)[/tex]
Here, [tex]a=-16,b=160,c=50[/tex]. So,
[tex]-\dfrac{b}{2a}=-\dfrac{160}{2(-16)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{160}{-32}[/tex]
[tex]-\dfrac{b}{2a}=5[/tex]
Now, put x=5 in the given equation.
[tex]y=-16(5)^2+160(5)+50[/tex]
[tex]y=-16(25)+800+50[/tex]
[tex]y=-400+850[/tex]
[tex]y=450[/tex]
The vertex of the given parabolic equation is (5,450).
Therefore, the maximum height of the balloon is 450 units after 5 units of time.
The solution for x2 + 2x + 8 ≤ 0 is
Answers
Answer:
the empty set
Step-by-step explanation:
right on edge
HELP pleasee and tysm to whoever does!!
Answers
Answer:
22: 6, 23: 1/6 24: 10 25: 50
Step-by-step explanation:
HAVING BAD DAY HELP
Jasmine drives every morning to her office that is 12 miles from her home.
a
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answers
Hope this helps
Answer:
12/s
Step-by-step explanation:
x-y=11 2x+y=19 elimantion
Answers
Answer:
x=20/3 y=17/3
Step-by-step explanation:
1. x-y=1
2. 2x+y=19
The first equation can be rewritten as 2x-2y=2
We can then subtract the second equation from this:
2x-2y=2
2x+y=19
-3y=-17
y=17/3
Plug this into to solve for x:
x-17/3=1
x=17/3+1
x=20/3
What is -5n+7<57 and 6n+2<8
Answers
Answer:
if -5n+7<57, then n>-10.
if 6n+2<8, then n<1.
Step-by-step explanation:
-5n+7<57
1. subtract 7 from both sides:
-5n+7 -7< 57 -7
-5n<50
2. divide both sides by -5 (remember to flip the sign whenever you divide by a negative number):
-5n ÷-5<50 ÷-5
n>-10
6n+2<8
1. subtract 2 from both sides:
6n+2 -2<8 -2
6n<6
2. divide both sides by 6:
6n ÷6<6 ÷6
n<1
A square has a perimeter of 36cm calculate the area of the square
Answers
36÷4=9
Now to find area you measure the width and length and then multiply width an length together since there’s a square both of those should be 9.
9x9= 81
The area of the square is 81 cm
Hope that helps and if you could mark me brainless that would be awesome
Answer:
9 four times is 36 that is 9+9+9+9=36 finding the area we multiply two sides that is 9×9=81. 81 is the answer
give me an example of an ordered pair
Answers
Answer:
My example of a ordered pair is (1,4) (2,8)
HELP HELP HELP HELP I JUST NEED HELP FOR FINDING THE SLOPE
Answers
Answer:
The slope, -3
The y-intercept, -2
The equation (0 -(-2) ) / (1 - (-5))
Step-by-step explanation:
Does anyone know the answer to this ?
Answers
Answer:
RE9PHYIOUHAHT8HSAPHTOASHO0TEHT
Step-by-step explanation:
X
The line of best fit for the graph above has the equation
y= 1.5x + 3. What value does the line predict when
x = 4?
y =
Answers
Answer:
9
Step-by-step explanation:
just plugged in 4 for x
y=1.5(4)+3
hope this helps and is right haha <3
Let U = {9, 10, 11, 12, 13, 14} and A = {11, 13}. Determine whether the statement A⊂U is true or false and find A'.
a. false; A' = {11, 12, 13, 14}
b. true; A' = {9, 10, 11, 12, 14}
c. false; A' = {9, 12, 14}
d. true; A' = {9, 10, 12, 14}
Answers
Answer:
D; A⊂U is true and A'={9, 10, 12, 14}
Step-by-step explanation:
A={11,13}
Because those numbers are included in the statement U={9,10,11,12,13,14}, we can say that it's true that A belongs to U.
A' is the numbers of U not including A. So, it would just be U without the 11 and 13, or {9,10,11,12}
70 less than twice Jose's savings. Use the variable J to represent Jose's savings
Answers
Answer:
2J-70
Step-by-step explanation:
Solve for x.
-5(x + 1) + 3x - 3= -14
Answer:
Submit Answer
Privacy Policy Terms of Se
Copyright 23201
Answers
Answer:
Let's solve your equation step-by-step.
−5(x+1)+3x−3=−14
Step 1: Simplify both sides of the equation.
−5(x+1)+3x−3=−14
(−5)(x)+(−5)(1)+3x+−3=−14(Distribute)
−5x+−5+3x+−3=−14
(−5x+3x)+(−5+−3)=−14(Combine Like Terms)
−2x+−8=−14
−2x−8=−14
Step 2: Add 8 to both sides.
−2x−8+8=−14+8
−2x=−6
Step 3: Divide both sides by -2.
−2x
−2
=
−6
−2
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
-5(x + 1) + 3x - 3 = -14
Distribute within parenthesis
-5x -5 + 3x - 3 = -14
Combine like terms
-2x - 8 = -14
Add 8 to both sides
-2x = -6
Divide -2 by both sides
x = 3
I hope this helps :)
