Answer:
[tex]y = 3(7)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (4,7203)[/tex]
Required
Determine an exponential function
Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]
[tex]3 = ab^0[/tex]
[tex]3 = a*1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]
[tex]7203= ab^4[/tex]
Substitute 3 for a
[tex]7203= 3*b^4[/tex]
Divide both sides by 3
[tex]2401= b^4[/tex]
Take 4th root of both sides
[tex]\sqrt[4]{2401} = b[/tex]
[tex]7 = b[/tex]
[tex]b = 7[/tex]
Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]
[tex]y = 3(7)^x[/tex]
Tommy makes $200,000 per year. Tommy's monthly taxes are 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes. What is Tommy's monthly Take Home Pay?
Answer: $13,925
Step-by-step explanation:
Tommy makes $200,000 per year.
He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.
His total taxes are therefore:
= 10% + 4.2% + 1.75% + 0.5%
= 16.45%
Taxes in dollars are:
= Monthly salary * taxes
= (200,000/12 months) * 16.45%
= $2,741.67
Monthly take home pay:
= Monthly salary - monthly tax
= 200,000 / 12 months - 2,741.67
= 16,666.67 - 2,741.67
= $13,925
Find the value of x so that the function has the given value.
n ( x ) = 4x + 15; n ( x ) =7
plz help
Answer:
n(x)=4x+15;n(x)=7
n(7)=4(7)+15
=》n(7)=28+15
28+15=43
n(7)=43
Stephanie is saving money to buy a bike that costs $189. She has saved $99 so far. She plans on saving $10 each week. How many weeks will it take for her to save enough money for the bike? Write an equation. Use x to represent the number of weeks
Answer:
189=99+10x, it will take her 9 weeks to save up enough
Step-by-step explanation:
Answer:
189 = 99 + 10x
Step-by-step explanation:
189 = 99 + 10x
-99 -99
90 = 10x
/10
9 = x
the triangles below are similar. find the value of the variable m
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
:) Have a good day!
HELP ME WITH THIS ASAP PLEASE I WILL PUT FIRST ANSWER AS BRAINLIEST!!!
Answer:
A
Step-by-step explanation:
You only need one admission ticket, so there is no need to have a variable with it. She golfed multiple rounds, so you need a variable by $6.25. You are adding the charges together so you need an addition symbol.
Hope this helps!
ABCD is a parallelogram. solve for x
a) 2
b)22
c)24
d)48
Answer:
b) 22
Step-by-step explanation:
180 = (4x+12) + (3x+14)
180 = 7x + 26
7x = 154
x=22
the wavelength of yellow light in a spectrum is about 0.000002 inches
Answer:
the answer is C:
[tex]2 \times 10 { - }^{4} [/tex]
Step-by-step explanation:
I hope this helps! ^^
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helppp! doing test!!
Answer:
Can you show more of the question?
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Basically, division. divide 85.60 by 4 in order to get each hour.
i need help asapp i’ll be giving a brainliest to the person with the correct answer
Are they correct? Is that the question? Well, the first one is correct because Slope (m) = -6/1 =-6
Equation of the line:
y = -6x + 15
When x=0, y = 15
When y=0, x = 2.5
and the other one:
Is incorrect and the correct answer is A because y= 7.5x -2. 7.5 is positive, the slope, and -2 is the y-intercept. Its negative.
Which point is labeled at (-2, 3)?
Answer:
G
Step-by-step explanation:
if you glance at -2 and go up positive three
The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has. (just give the number)
Answer:
24
Step-by-step explanation:
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
A new barber shop just opened up in your neighborhood. You can buy two haircuts for $10 or six haircuts for $22. Is the cost a proportional or non-proportional relationship?
Answer:it is non proportional
Step-by-step explanation:
Write a small statement to convince others of the importance of food safety
Answer:
Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.
You spin a spinner numbered from 1 to 8 twice. Find the probability of getting a 1 on the first spin and a 2 on the second spin.
Answer:
[tex]Probability = \frac{1}{64}[/tex]
Step-by-step explanation:
The sample space of the spinner is:
[tex]Sample\ Space = \{1,2,3,4,5,6,7,8\}[/tex]
So:
[tex]n(S)= 8[/tex]
All of which have the same probability.
Required
Determine the probability of 1, then 2 when spin twice
The probability of the first being 1 is:
[tex]P(1)= n(1)/n(S)[/tex]
[tex]P(1)= 1/8[/tex]
The probability of the second being 2 is:
[tex]P(2)= n(2)/n(S)[/tex]
[tex]P(2)= 1/8[/tex]
So, the required probability is:
[tex]Probability = P(1) * P(2)[/tex]
[tex]Probability =1/8* 1/8[/tex]
[tex]Probability = \frac{1}{64}[/tex]
i honestly forgot how to solve this
Answer:
c must be -4
Step-by-step explanation:
x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.
The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.
Substituting -5 for b and 1 for a, we get:
(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16. Thus, c must be -4, and the quadratic is
x^2 - 5x - 4
Solve for x: x/7 - 3 ≥ 8.
Answer:
x is more than or equal to 77
Step-by-step explanation:
Four divided by what number equals 12?
Answer:1/3
Step-by-step explanation:
Answer:
1/3 or 0.3333
Step-by-step explanation:
[tex]\frac{4}{x} =12[/tex]
[tex]4 = 12x[/tex]
[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]
Four divided by 1/3 equals 12.
What is the volume of the right triangular prism shown?
get it right for brainlist
Answer:
V = 567 yd³
Step-by-step explanation:
V = [tex]\frac{1}{2}a c h\\[/tex]
V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]
V = 567 yd³
13 points so please help meee with a and b!
Answer:
(a)
$24.10,
$18.20,
$15.25,
$9.35,
$0.50,
(b)
b=30-2.95g
Step-by-step explanation:
Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50
b) b=30-2.95g
Will mark brainliest and rate 5/5 if answered right.
Answer:
a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]
b. [tex]100-25\pi[/tex]
Step-by-step explanation:
The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].
A chemist needs to mix 6 parts acid to 7 parts base for a reaction. If they need a total of 52mL (milliliters) of reaction, how many mL
of acid and base are needed?
Answer:
24 millilitres acid
28 millilitres base
Step-by-step explanation:
First, we need to know how many parts there are in total. We do this by adding the number of parts of acid (6) and base (7). 6+7=13
Then, divide 52 by 13 to find out how many millilitres makes up a part.
52/13=4
Then you multiply this by the number of parts for each substance.
4x6=24 millilitres acid
4x7=28 millitres base
Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.
How was triangle A translated?
four units left
four units right
six units left
six units right
Answer: D is correct
Step-by-step explanation: Got a 100% on my test
The translation of triangle A is (d) six units right
The translation from triangle A to BTranslation involves changing the position of a shape
From the question, we understand that:
Triangle A represents the pre-imageTriangle A is shifted to the right by 6 unitsThis means that, triangle A was translated by 6 units to the right
Hence, the true statement is (d)
Read more about translation at:
https://brainly.com/question/4289712
Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY
Which expression is equivalent n + n - 0.24n?
Answer:
Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n
Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.
(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?
Answer:
(a).4.36 mph
(b) No
Step-by-step explanation:
We are given that
Jan covered distance,s1 =2 miles
Speed of Jan, a=3 mph
s2=1 mile
b=8mph
a.
We have to find the Jan' s average speed for the entire trip.
Average speed =[tex]\frac{2ab}{a+b}[/tex]
Using the formula
Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]
b.
Average speed with two speed
Average of Jan’s two speeds
[tex]=\frac{a+b}{2}[/tex]
=[tex]\frac{3+8}{2}=5.5 mph[/tex]
[tex]4.36\neq 5.5[/tex]
Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.
Which equation represents a proportional relationship?
y = 5x + 1
y=−5(x+1)
y=
1
5x
y=−x
help pls I will give brainliest to whoever answers best
Step-by-step explanation:
its 60
I need help fast
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?
Answer:
2.83 units diagonally
2 units horizontally and 2 units vertically
Step-by-step explanation:
x position difference -2-(-4)=2
y position difference 7-5=2
2 units horizontally and 2 units vertically on a graph
2^2+2^2=8
sq rt 8=2.83 units
The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side
Answer:
1ft≤h≤25ft
Step-by-step explanation:
The area of a rectangle is expressed as;
Area = Length * height
A = Lh
If the area of a rectangle is at most 400 square centimeter, this is expressed as;
A ≤400
≤ means at most i.e it can not be greater than 400
Lh ≤ 400
Given L = 16
16h ≤ 400
h ≤ 400/16
h ≤ 25
Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative