Answer:
2
Step-by-step explanation:
w
At the beginning of the year, Ian had $30 in savings and saved an additional $15 each week thereafter. Brayden started the year with $70 and saved $5 every week. Let II represent the amount of money Ian has saved tt weeks after the beginning of the year and let BB represent the amount of money Brayden has saved tt weeks after the beginning of the year. Graph each function and determine the amount of money Ian and Brayden have saved in the week that they have the same amount of money saved.
A linear equation can be written as:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Defining x as the number of weeks since the start of the year, we can write the linear equations I and B as:
[tex]B(x) =\$70 + \$5*x[/tex]
(initial amount plus the amount that he saves each week times the number of weeks)
Similarly, for Ian we have:
[tex]I(x) = \$30 + \$15*x[/tex]
The graph of these lines can be seen below, where the blue one is I(x) and the green one is B(x).
Now we want to determine how much they had when they had the same amount.
This means that we need to solve:
B(x) = I(x)
Replacing the equations we get:
[tex]\$70 + \$5*x = \$30 + \$15*x[/tex]
Now we can solve this for x:
[tex]\$70 - \$30 = \$15*x - \$5*x[/tex]
[tex]\$40 = \$10*x[/tex]
[tex]\$40/\$10 = x[/tex]
[tex]4 = x[/tex]
So they have the same amount of money in week 4, and each one of them has:
[tex]B(4) = I(4) = \$70 + \$5*4 = \$70 + \$20 = \$90[/tex]
If you want to learn more about this, you can read:
https://brainly.com/question/13075913
Find the following measure for this figure.
12
10
Answer:
13 units
Step-by-step explanation:
Using the right triangle formed by the 2 legs and the slant height s
The legs are 12 and 10 ÷ 2 = 5, with hypotenuse s
Using Pythagoras' identity in the right triangle, then
s² = 12² + 5² = 144 + 25 = 169 ( take the square root of both sides )
s = [tex]\sqrt{169}[/tex] = 13
Simplify the following:
a. 9 sinA +33 cosec A + 10 sin A - 13 cosec A
Answer:
19 sin + 20 cosec
explanation
9 sin A + 10 sinA + 33 -13 cosecA
19 sin + 20 cosec
Determine the slope of a line passing through
(-2, 4) and (-9, 3).
Answer:
1/7
Step-by-step explanation:
We can us the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-4)/(-9- -2)
= (3-4)/(-9+2)
= -1 /-7
=1/7
Non right angled triangle
Answer:
18.06
Step-by-step explanation:
law of cos()
b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)
[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]
Can anyone please help?
Answer:
i don't know
( lol )
heheeeee
tanx-sinx÷tanx-sinx=1-cosx ÷sinx
Answer:
Given:
(sin5x−sinx)(cos4x−cos6x)
(cosx−cos3x)(sin8x+sin2x)
Use the formula:
sina+sinb=2sin(
2
a+b
)cos(
2
a−b
)
sina−sinb=2cos(
2
a+b
)sin(
2
a−b
)
cosa−cosb=−2sin(
2
a+b
)sin(
2
a−b
)
(sin5x−sinx)(cos4x−cos6x)
(cosx−cos3x)(sin8x+sin2x)
=
(2cos
2
6x
sin
2
4x
)(−2sin
2
10x
sin
2
−2x
)
(−2sin
2
4x
sin
2
−2x
)(2sin
2
10x
cos
2
6x
)
=
(2cos3xsin2x)(2sin5xsinx)
(2sin2xsinx)(2sin5xcos3x)
=1
Which equation represents an exponential function with an initial value of 500?
f(x) = 100(5)x
f(x) = 100(x)5
f(x) = 500(2)x
f(x) = 500(x)2
Answer:
y = 500 * (2)^x is an exponential function
Step-by-step explanation:
An exponential function is of the form
y = a b^x where a is the initial value and b is the growth/decay factor
y = 500 * (2)^x is an exponential function
The correct equation that represents an exponential function with an initial value of 500 is:
f(x) = 500(2)x
What is a logarithmic function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
We are given that the initial value of the exponential function is 500. The initial value refers to the value of the function when x is equal to zero. Therefore, the value of f(0) is 500.
Out of the four given options, only option (c) represents an exponential function with an initial value of 500, since f(0) is equal to 500 when x is equal to zero:
f(x) = 500(2)^x
Option (a) represents an exponential function with an initial value of 100 and a base of 5.
Option (b) represents a power function, not an exponential function.
Option (d) represents an exponential function with an initial value of 0 and a base of x^2, which can take any value including negative values, thus it doesn't satisfy the conditions of a valid exponential function.
Learn more about logarithmic functions here:
https://brainly.com/question/3181916
#SPJ7
___+ 5 = 2 x 5
It’s true sentences
Complete the number sentences so they are true
Answer:
5+5=2×5
10 10
Step-by-step explanation:
here is your answer
Can anybody help this question?
Answer:
the first option
Step-by-step explanation:
really, just look at the table.
is the mean value (10.4) larger than the median (13.4) ?
I hope you can see right away that it is not.
and you can see they are not the same either.
so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.
so, it is between the first two options.
now think ! how do we draw number lines ? a coordinate axis ?
the smaller numbers left, the larger numbers right. the numbers grow from left to right.
the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.
Help please, all i know is that 4x:24 I will give brainliest
the question:
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it. (6 points)
Answer:
Let n be the total number of desserts.
Let s be the total ounces of strawberries.
S = 4n <- answer to part a.
24 = 4n
n = 6
If she has 24 ounces of strawberries, she can make 6 desserts.
Let me know if this helps!
PLEASE HELP!!! SUPER IMPORTANT TEST!! options shown are the same for each equation
Answer:
simply
addition property of equality
simplify
multiplication property of equality
please help, i really dont understand this. will give brainliest.
There are 6 dogs and 5 cats.
Answer:
13) 11C5 or 11C6 = 462
14) it appears to be only 1
DCDCDCDCDCD
15) 9 choose 6 or 9 choose 3 = 84
Step-by-step explanation:
A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Assume that the pattern in the table continues. Which equation can be solved for t, the time in hours when the number of cells will reach 100,000?
A
8⋅t4=100,000
B
8⋅4t=100,000
C
4⋅t8=100,000
D
4⋅8t=100,000
Answer:
100000 = 8 (4) ^t
Step-by-step explanation:
We are multiplying by 4 each time
y = a (4)^t
The initial amount is 8
y = 8 (4)^t
We want to get to 100000
100000 = 8 (4) ^t
Answer:
B
8 ⋅ 4^t = 100,000
Step-by-step explanation:
What does 5.46 x 12.9 equal?
Answer:70.434
Step-by-step explanation:
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]
if the area of square is 2401 sqaure metre,find the perimeter of the sqaure
Answer
P=196
P=4A=4·2401=196
Answer:
196m
Step-by-step explanation:
[tex] \sqrt{2401} = 49[/tex]
[tex]49 + 49 + 49 + 49 = 196[/tex]
an agent receives a commission of d% of the selling price of a house. if the commission amounted to 600, the selling price, in dollars was
Need help brainlist and will mark brainlist
Answer:
Selling price is $60000/d
Step-by-step explanation:
Let the selling price be say $x. Now the commission is d% of x, that is (d/100)*x=600. x=60000/d
Commission of d% amounts to 600 the selling price in dollers will be
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
What are Selling price, Cost price, Profit &Loss ?The price of an item which i have sold to someone is my selling price and for the person it is his/her cost price.
When my selling price is more than my cost price I make profit.
When my selling price is less than my cost price i make loss.
In the given question d% of commision amounts to 600$. Let us assume d% = 10 % for easy understanding.
[tex]\frac{percentage}{100}[/tex] * selling price = 600
[tex]\frac{d}{100}[/tex] * selling price = 600
Selling price = 600 * [tex]\frac{100}{d}[/tex] = 6000/d $
or, 60000/10 = 6000 $
Learn more about Profit and Loss here :
https://brainly.com/question/13934673
#SPJ2
How do you calculate percentage or find the per cent value
Answer:
Divide the number you want to find the percentage for by the total amount of items in that group. Then, multiply that value by 100.
Step-by-step explanation:
Ex. There are 3 boys in a group of 4. What percentage of the group are boys?
[tex]\frac{3}{4} =0.75[/tex]
[tex]0.75*100=75[/tex]
75% of the group are boys
TIME REMAINING
53:07
Solve for w.
5w + 9z = 2z + 3w
w = w equals negative StartFraction 7 Over 2 EndFraction z.z
w = w equals negative StartFraction 2 Over 7 EndFraction z.z
w = –2z
w = –7z
Answer:
w=-7/2z
Step-by-step explanation:
to solve for w you firstly have to group the like terms
5w-3w=2z-9z
2w=-7z
then you have to divide both sides by 2 inorder to remain with w on one side.
2w/2=-7/2
w=-7/2
I hope this helps
Answer:
A. w = (-7/2)z or w equals negative StartFraction 7 Over 2 EndFraction zStep-by-step explanation:
5w + 9z = 2z + 3w5w - 3w = 2z - 9z2w = - 7zw = (-7/2)zCorrect choice is A
I need help I'm confused
I put the line/graph on the attached file, when you draw the line make sure it goes through some of the points that I plotted.
Part 2
5. -0.3 ÷ (-0.27)
6. -5.5 ÷ 0.021
7. -412 ÷ -334
8. 7.75 ÷ ( -123)
Answer:
5. -10/9
6. -5500/21
7. 1 39/167
8. -31/492
ranika wanted her friend radhika's mobile number. but radhika played a trick. she gave her the number as 9 X Y Z P 1 Q 2 R 3
Answer:
Ranika should have known since the series of letters and numbers Radhika gave her don't make out to be a legal phone number.
Step-by-step explanation:
A roof repairer works out that he will need to work with a colleage charges $20 per hour. In the end, they took 6 hours to fix the roof.
a. Write an expression with parentheses to describe how much the homeowner ownes for labor.
b. Evaluate your expression to calculate the cost of the labor.
Answer:
a. 20h = m
b. $120
Step-by-step explanation:
We know what they charge per hour so if we didn't have the number of hours they worked we would write the equation as 20h = m (h = hours, and m = money made). Since we know the number of hours they worked, we can substitute h with 6 and find m.
20(6) = m
120 = m
Best of Luck!
(ii) Differentiate x2 + 3x -4.
Answer:
2x +3
Step-by-step explanation:
d/dx(x2 + 3x -4)
d/dx (x^2) + d/dx(3x)- d/dx(4)
2x +3 -0
2x +3
For the function y = (4x - 3)(x + 7)
the 2 x-intercepts are?
Answer:
3/4 =x -7=x
Step-by-step explanation:
y = (4x - 3)(x + 7)
To find the x intercepts, set y=0
0 = (4x - 3)(x + 7)
Using the zero product property
0 = 4x-3 0=x+7
3 = 4x -7=x
3/4 =x -7=x
Answer:
x - intercepts are (3/4 , 0) & (-7 , 0)
Step-by-step explanation:
y = (4x - 3)(x + 7)
At x-intercept, y=0
(4x - 3)(x + 7) = 0
4x - 3 = 0 ; x + 7 = 0
4x = 3 ; x = -7
x = [tex]\dfrac{3}{4}[/tex] ; x = -7
On the first day of travel, a driver was going at a speed of 40 mph. The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles, find the total distance traveled in the two days.
Answer:
380 miles
Step-by-step explanation:
Let the time he travelled on the second day = t
Then the first day's time is t + 2
The first day's distance is d+20
The second day's distance is d
The second day's distance is also 60*t or d = 60*t
First day: 40*(t+2) = d + 20
Put the second day's distance into the first day's equation
40(t+ 2) = 60t + 20 Now solve for t. Remove the brackets
40*t + 80 = 60t + 20 Subtract 20 from both sides
40t + 80 - 20 = 60t Combine
40t + 60 = 60t Subtract 40t from both sides
60 = 60t - 40t
60 = 20t Divide by 20
t = 60 / 20
t = 3
Day 2s distance = 60*3 = 180
Day 1s distance = 40*5 =200
Total 380
You may ask where the 20 went. It is a fact relating the distance of day 1 with day 2. No one actually travelled the 20 miles. It is just that there is a difference of 20 miles in the two distances.
If 42% of a number Nis 8.4, what is the value of N?
O 10
O 20
O 24
O 32
Answer:
20
Step-by-step explanation:
Of means multiply and is means equals
42% * N = 8.4
.42 N = 8.4
Divide each side by .42
N = 8.4/.42
N =20
Answer:
Step-by-step explanation:
Let the number be 'x'
42% of x = 8.4
[tex]\dfrac{42}{100}*x=8.4\\\\x=8.4*\dfrac{100}{42}\\\\x=\dfrac{840}{42}\\\\x= 20[/tex]
Select the correct answer (for Edmentum/PLATO).
Which expression represents the series 1 + 5 + 25 + 125 + 625?
Answers attached in photo.
Answer:
Correct answer is A. Trust me
Step-by-step explanation:
I need help please and thank you!
Answer:
v is 198 m/s
Step-by-step explanation:
[tex]v = \sqrt{gh} \\ v = \sqrt{9.8 \times 4000} \\ v = 198 \: m {s}^{ - 1} [/tex]
