Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.
A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.
B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.
Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.
https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html
Need help with this one too plzzz
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3
Answer:
a.
Step-by-step explanation:
Answer:
A, B, E
Step-by-step explanation:
I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!
2385/3498=15/22
3945/5786=15/22
2340/3588≠15/22
2480/3410≠15/22
4650/6820≠15/22
2310/3696=15/22
Help would be well appreciated!!!!!!
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
Quadratic
Step-by-step explanation:
Formula: ax^2+bx+c
Help me please!! This is timed and I’m stuck
Answer:
B 13/2
Step-by-step explanation:
2x² + 7x - 15 = 0
First we want to find the two solutions
We can do this by using the quadratic formula
Quadratic formula:
[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]
Where the values of a,b and c are derived from the equation.
The equation is put in ax² + bx + c = 0 form
2x² + 7x - 15 = 0
so a = 2, b = 7 and c = - 15
We now plug these values into the quadratic formula
(-(7) + or - √7² - 4(2)(-15) ) / 2(2)
first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)
remove parenthesis on 7
(-7 + √7² - 4(2)(-15) ) /2(2)
Apply exponents 7²
(-7 + √49 - 4(2)(-15) ) /2(2)
Multiply -4,2 and -15
(-7 + √49 + 120 ) / 2(2)
add 49 and 120
(-7 + √ 169 ) / 2(2)
Take square root of 169
(-7 + 13 ) / 2(2)
add 13 and -7
6/2(2)
multiply 2 and 2
= 6/4
The first solution is 6/4 or 1.5
Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)
For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.
So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)
So second solution: ( -7 - 13 ) / 2(2)
subtract 13 from -7
-20/2(2)
multiply 2 and 2
-20/4
divide
The second solution is -5
Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s
The two solutions are 6/4 and -5.
6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s
So if r = 6/4 and s = -5
Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2
So the answer is B. 13/2
Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
(-10, -8)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x, y)→(−x, y) .
so J(10, -8) becomes J'(-10, -8)
ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8
Answer:
Below.
Step-by-step explanation:
Using PRT/100 = I, we can prove that x = 8.
=> 1000 x 0.65 x 8/100
=> 10 x 0.65 x 8
=> 6.5 x 8
=> £52
Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.
A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
what is the answer??????
Answer:
1) ⅓
2) ⅓
Step-by-step explanation:
1) The repeating decimal, 0.333333.., is the same as ⅓ when simplified.
If we express 0.333333... as a fraction to the nearest hundreths: [tex]\frac{33}{100}[/tex], and 33 is a third of a hundred, which is ⅓.
Therefore, the fraction form of 0.333333... is ⅓.
2) In order to determine the product of 4/6 and 2/4, simply multiply the numerator of both fractions together. Similarly, do the same for both denominators.
[tex]\frac{4}{6}[/tex] × [tex]\frac{2}{4}[/tex] = [tex]\frac{4 * 2}{6 * 4} = \frac{8}{24}[/tex]
Next, simplify [tex]\frac{8}{24}[/tex] by dividing it with [tex]\frac{8}{8}[/tex]:
[tex]\frac{8}{24}[/tex] ÷ [tex]\frac{8}{8}[/tex] = ⅓
Therefore, the product of [tex]\frac{4}{6}[/tex] and [tex]\frac{2}{4}[/tex] is ⅓.
reflect the co ordinate (7,-5) in the y-axis
Answer:
(-7, -5)
Step-by-step explanation:
Hope this helps!
What’s the next 3 terms of the sequence -2,8,-32?
Answer:
Step-by-step explanation:
This is a geometric series.
First term = - 2
Ratio = second term ÷ first term = 8 ÷ (-2) = -4
Next three terms are:
-32 *(-4) = 128
128*(-4) = - 512
-512*(-4) = 2048
Answer:
The next 3 terms would be 128, -512, 2048
Step-by-step explanation:
Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]
Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4
So we would rewrite the equations to find the next three terms as
[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]
[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]
[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]
How would I solve [tex]-2 \frac{1}{2} - -2 \frac{1}{2}[/tex]
Select the correct answer.
Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?
A.
$327,089.89
B.
$338,390.89
C.
$339,560.89
Answer:
c i think
Step-by-step explanation:
I'm sorry if not
please help me I really need help
1) 300 squared cm
2) 105 squared cm
3) about 165.75 squared cm
4) about 211.4 squared cm
Transform y = cot(x) to get the graph of. Which type of transformation is not performed? vertical shift horizontal shift vertical stretch horizontal stretch.
Transformation involves changing the form of the function
The transformation that is not performed is (a) vertical shift
The function is given as:
[tex]\mathbf{y = cot(x)}[/tex]
From the complete question, the transformed function is:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
On y = cot(x); start by translating the function 2 units left.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x +2,y)}[/tex]
So, we have:
[tex]\mathbf{y = cot(x + 2)}[/tex]
Next, stretch the function horizontally by a factor of 1/5
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (\frac 15x,y)}[/tex]
So, we have:
[tex]\mathbf{y=cot[\frac 15(x+2)]}[/tex]
Lastly, stretch the function vertically by a factor of 3
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x,3y)}[/tex]
So, we have:
[tex]\mathbf{y=3cot[\frac 15(x+2)]}[/tex]
From the above transformations, we have:
Horizontal shift Vertical stretch Horizontal stretchHence, the transformation that is not performed is (a) vertical shift
Read more about transformations at:
https://brainly.com/question/13801312
Answer:
vertical shift
Step-by-step explanation:
edge
A leaky pipe drips 2 fluid ounces of water per hour. How many cups of water does it leak in 2 days? Remember that 8 fluid ounces = 1 cup
Answer:
12 cups
Step-by-step explanation:
There are 48 hours in two days.
48 · 2 = 96 ( 2 being fluid ounces per hour )
96 ÷ 8 = 12 ( 8 being fl oz in each cup )
I hope that this helped!!!
Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46
Answer:
d
Step-by-step explanation:
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones
Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.
The decimal numbers are 6.399 and 6.400.
The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.
A similar problem is given at https://brainly.com/question/17248958
There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.
1. Write an equation to represent this situation
2. What do the slave and y-intercept mean
3. After how many hours would all the snow be melted
4. Make a table of this situation to show when all the snow would be melted
Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.
Step-by-step explanation:
Answer:
1.5 × ? = 9
9÷1.5 = 6
so the answer would be 6 hours
A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.
Answer:
washer is 587$
Step-by-step explanation:
1000 - 175
825
825 divided by 2 than add 175 to the washers half
the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Let's assume the cost of the dryer is "x" dollars.
According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.
The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:
Cost of washer + Cost of dryer = $1000
(x + $175) + x = $1000
Now, let's solve for "x":
2x + $175 = $1000
Subtract $175 from both sides:
2x = $1000 - $175
2x = $825
Now, divide both sides by 2 to find the value of "x":
x = $825 / 2
x = $412.5
So, the cost of the dryer is $412.5.
Now, let's find the cost of the washer:
Cost of washer = Cost of dryer + $175
Cost of washer = $412.5 + $175
Cost of washer = $587.5
Therefore, the cost of the washer is $587.5.
In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Learn more about cost here
https://brainly.com/question/12055956
#SPJ2
40.185 + 0.01
Round your answer to the nearest
hundredth.
Answer:
40
Step-by-step explanation:
Answer:
40.20 luv:)
Step-by-step explanation:
This and one more question, it’s now going to be put at much more points
Step-by-step explanation:
Number of stickers Rafael has left
= [tex]100 - 6s[/tex]
Substitute [tex]s = 7[/tex]into the expression.
[tex]100 - 6(7)[/tex]
= [tex]100 - 42[/tex]
= [tex]58[/tex]
Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?
Answer:
he would end up with 25 good games left
Answer: the answer is 31!
Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!
Can someone please help solving for x
Answer:
x=6.7
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(31^\circ)=\frac{x}{13}[/tex]
[tex]13sin(31^\circ)=x[/tex]
[tex]x=13sin(31^\circ)[/tex]
[tex]x\approx6.7[/tex]
So, the opposite side is about 6.7 inches
What is the measure of ZPRQ?
P
O
A. 172°
1020
B. 70°
70"
s
C. 86°
D. 1020
Answer: should be 86°, not sure.
Step-by-step explanation:
Plz help fast I will mark Brainlyist
variables combining like terms
16. x+3
17. 5y+3
18. x+5y-5
Answer:
16.3x
17. 8y
18.x+y
I thing these are the answers of these equations
