Answer:
1.) y=800e^(0.02t)
2.) 957.76 (or 958 if rounding up is required)
Step-by-step explanation:
1.) Since the increase is in years and our time is in years, we can use the function y=Pe^(rt) where P is our beginning value, r is rate (as a decimal) and t is time. Substitute the values P=800, r=0.02 to get y=800e^(0.02)t.
2.) Solving the equation above, we substitute t for 9, we get:
Y=800e^(0.02*9)
Y=800e^(0.18)
Y=800*(1.1972)
Y=957.76
Since it asks for population, you may or may not need to round to 958.
The whole cake is 9 cm high and 20 cm across. Each layer of cake is 2cm thick, and each layer is separated by 1 cm of frosting.
1. What is the total volume of the entire cake (including the missing piece)?
2. What is the volume of one layer of frosting (including the missing piece)?
3. What is the volume of all three layers of frosting? (including the missing piece)?
4. What is the volume of one layer of plain cake (without frosting) (including the missing piece)?
5. What is the volume of all three layers of plain cake, without the frosting (including the missing piece)?
Answer:
PO
Step-by-step explanation:
can i have help with this
Answer:
help
Step-by-step explanation:
with what what is the question
Which of the following statements are true about the given rational equation? check all of the boxes that apply. 4 x 6 1 x2 = x 10 x3 6x2 x = 1 is a solution. x = 0 is a solution. x = –1 is a solution. x = –6 is a solution.
We can actually see that the statements that are true are:
A. x = 1 is a solution.
C. x = –1 is a solution.
What is rational equation?Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.
We can see then that:
[tex] \frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{x + 10}{ {x}^{3} + 6 {x}^{2} } [/tex]
It's clear that: x ≠ 0 and x ≠ -6.
Looking for the LCM of the left hand side, we will have:
[tex] \frac{4}{x + 6} + \frac{1}{ {x}^{2} } = \frac{4 {x}^{2 } + (x + 6)}{(x + 6) {x}^{2} } [/tex]
So, we will see that left hand side and right hand side are equal.
[tex]4 {x}^{2} + x + 6 = x + 10[/tex]
[tex]4 {x}^{2} = 10 - 6[/tex]
[tex]4 {x}^{2} = 4[/tex]
[tex] {x}^{2} = 1[/tex]
[tex] x = 1[/tex]
or
[tex]x = - 1[/tex]
So, we can see that options A and C are correct.
Learn more about rational equation on https://brainly.com/question/11611235
Answer:
-1 and 1 or A and C
Step-by-step explanation:
Work out the value of x
Answer:
42°
Step-by-step explanation:
Angles on one side of a straight line always add up to 180.
Therefore: 180° - 123° = 57°
So, 57° + 81° =138°
x=180° -138° = 42°
If you work 40 hours in a week and make $800. How much will you make if
you work 60 hours?
Answer:
1,200
Step-by-step explanation:
Divide 800 by 40
Then take that answer which is 20 and multiply it by 60
Then you get 1,200
Gordon buys an antique teapot for £95.
He sells it on an Internet auction site for
£133.
Calculate his percentage profit.
so he got for £95 and sold it for £133, so hmmmm the difference is simply £38.
if we take 95 to be the 100%, what is 38 off of it in percentage?
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 95 & 100\\ 38& x \end{array} \implies \cfrac{95}{38}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]
3x squared =118. Solve the equation. Round to the nearest hundredth if necessary.
Answer:
3.62
Step-by-step explanation:
118 square rooted is 10.86
10.86/3 = 3.62
Answer:
[tex]x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]
Step-by-step explanation:
Given equation:
[tex]3x^2=118[/tex]
Divide both sides by 3:
[tex]\implies \dfrac{3x^2}{3}=\dfrac{118}{3}[/tex]
[tex]\implies x^2=\dfrac{118}{3}[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{\dfrac{118}{3}}[/tex]
[tex]\implies x=\pm\sqrt{\dfrac{118}{3}}[/tex]
[tex]\implies x=\pm6.27\: \textsf{(nearest hundredth)}[/tex]
In how many different ways can the sides of a triangle be named by the letters a, b, and c?
24
18
3
6
Answer:
6.
Step-by-step explanation:
That is the number of permutations of 2 from 3
= 3P2
= 3!/(3-2(!
= 3*2
= 6.
Each class you have is 1 1/4 hours. How many classes are there if the day is 6 7/8 hours?
Answer:
There would be 5.5 or 5 1/2 classes
Step-by-step explanation:
Turn fractions into decimals
Multiply each by 60
Then Divide
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS IM SO LOST AND CONFUSES MY BRAIN PLS AND TYSM
Answer:
The answer is C.
Step-by-step explanation:
C. 50-59 since it has the same number of employees as 10-19.
I need help with this question please-
Answer:
2) -1, 0, 1, 2, 3, 4
3) 78, -2 , 1
Step-by-step explanation:
2) Substitute the x into the equation.
3) Substitute the 9 as the x value into the function so ([tex]9^2[/tex]) -3 = 78 etc.
Sean made 3 wood-fired pepperoni pizzas. 7 friends share the pizzas equally. How much pizza is each person getting?
*
Which fraction represents the ratio in this scenario?
1 point
7/3 of a pizza
3/7 of a pizza
3/10 of a pizza
10/7 of a pizza
Answer:
3/7
Step-by-step explanation:
Write the division of the pizzas as a ratio, and you will have it.
(3 pizzas)/(7 persons) = (3/7) pizza/person
__
Each person gets 3/7 of a pizza.
Would the answer to this be 103?
Question: Find the value of x
Answer:
x=13
Step-by-step explanation:
<FGA is a vertical angle to <EGB, so both = to 77. Then since < CGB=90, we do 90-77=13
What is the rate of change and y intercept
5 is the awsterstdysytghujfhds
If 50 is 20% of a value, what is that value?
Divide 50 by 20%
50/20% = 50/0.20 = 250
Answer: 250
simplify 9c4
combinations
Answer:
9c4
factoring the monomial
(3c2)(-3c2)
What do I put in the first 3 fractions??? (Help needed)
Answer:
See below ~
Step-by-step explanation:
First 3 blanks
[tex]\frac{6}{8}+\frac{4}{8}+\frac{5}{8}[/tex]Final blank
[tex]1\frac{5}{8}[/tex]PLEASE HELP ASAP ON MY MATH!!
Answer:
Area of shaded region=41 square feet
Area of non shaded region= 87 square feet
Step-by-step explanation:
As, Shaded area is made of different shapes including two rectangles and one triangle
So,
Area of shaded region,
[tex]=(8\times2)+(10\times 1)+(\frac{1}{2}\times 3\times10)\\\\ =16+10+15=41 \quad \text{square feet}[/tex]
Area of non shaded region=total area of rectangular region-Shaded region
[tex]=(16\times 8)-(41)\\=128-41\\=87 \quad \text{square feet}[/tex]
Answer:
( 16 × 8 )-40
128 -40
=87 square feet
Please help i will give brainly
Answer:
C
Step-by-step explanation:
Multiplying the sequence by 2 gives us the next term. Therefore it has to be the formula a1 x r^n-1. If we substitute the values it would end up as the answer C
Answer:
The correct answer would be option C; 12 x 2ⁿ⁻¹
Step-by-step explanation:
You can check this using any number
since n is the term number we can check it;
let's say we have to find out the answer to the third term number, so we will substitute the n by 3 in the equation from option C and solve
term = 12 x 2ⁿ⁻¹
term = 12 x 2 ³ ⁻¹
term = 12 x 2 ²
term = 12 x 4
term = 48
The term does match the third number in the series given above and hence the equation works!
Hope this helps!
Manny saves coins in a jar. He counts his dimes and has $16. How many dimes does Manny have?
One-third is equivalent to what number over 12? Place only the value for the number that will be over 12.
Answer:
4
Step-by-step explanation:
1/3 = x/12
12 * 1/3 =x x = 4
I will mark brainiest
Answer: The second histogram a.k.a choice B is correct.
what is the product –8(7 – 3 .2)
Answer:
-33.6
Step-by-step explanation:
1. Solve inside the brackets = 4.2
2. Multiply that by -8 = -33.6
Answer:
-33.6
Step-by-step explanation:
Is 2,4,6 an obtuse triangle?
Answer:
Step-by-step explanation:
A 2-gallon container of window cleaner costs $13.20. What is the price per quart?
Answer:
$ 1.65 per gallon
Step-by-step explanation:
4 quarts in 1 gallon so 8 quarts in 2 gallons.
Cost for 2 gallons $13.20 so $13.20 ÷ 8 = $1.65
A television and DVD player cost a total of $984. The cost of the television is three times the cost of the DVD player. Find the cost of each item
Answer:
Step-by-step explanation:
so the dvd player is 984 dollars so now we multiply it by three and our total would be 2,952
PLS HELP ME ON THIS I JUST DIG MY GRADE OUT OF THE GRAVE
1) (-5, 5), 2) (7, -5), 3) (- 3, 28), 4) (- 12, 0), 5) 10, 6) 14, 7) (- 9, 9), 8) [tex]\sqrt{26}[/tex], 9) - 2, 10) 10, 11) [tex]\left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex], 12) [tex]\left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex], 13) (0, 7), 14) [tex](- 3\sqrt{3}, - 3)[/tex], 15) The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal, 16) [tex]7\sqrt{2}[/tex], [tex]135^{\circ}[/tex], 17) [tex]17[/tex], [tex]137^{\circ}[/tex], 18) [tex]12[/tex], [tex]240^{\circ}[/tex], 19) [tex](19.700, 15.392)[/tex]
How to analyze vectors
Vectors are elements that are charaterized for having a magnitude and a direction, whereas scalar are only characterized by magnitude. In this question we must apply different vector properties to obtain the corresponding results.
The first two exercises consist in calculating each vector based on its initial and terminal points, whose results are obtained below by sum of vectors with initial points at origin:
1) (-1, 3) - (4, -2) = (-5, 5)
2) (2, -6) - (- 5, -1) = (7, -5)
The following eight exercises are resolved by applying the operations of addition of vectors and multiplication of a vector by a scalar, and the definition of norm and dot product as well:
3) 3 · (3, 4) + 2 · (- 6, 8) = (9, 12) + (- 12, 16) = (- 3, 28)
4) (- 6, 8) - 2 · (3, 4) = (- 12, 0)
5) [tex]\| \vec v\| = \sqrt{(-6)^{2}+8^{2}}[/tex] = 10
6) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · (- 6) + 4 · 8 = 14
7) 3 · [(0, 2) - (3, -1)] = 3 · (- 3, 3) = (- 9, 9)
8) [tex]\|\vec v\| = \sqrt{1^{2}+5^{2}} = \sqrt{26}[/tex]
9) [tex]\vec u \,\bullet \,\vec v =[/tex] 3 · 1 + (- 1) · 5 = - 2
10) [tex]\vec w \,\bullet \, \vec v =[/tex] 0 · 1 + 5 · 2 = 10
11) The unit vector is obtained by dividing the vector by its magnitude:
[tex]\vec u_{v} = \frac{1}{\sqrt{26}}\cdot \left(1, 5\right) = \left(\frac{1}{\sqrt{26}}, \frac{5}{\sqrt{26}} \right) = \left(\frac{\sqrt{26}}{26}, \frac{5\sqrt{26}}{26}\right)[/tex]
12) The vector is equal to the product of the magnitude and its unit vector:
[tex]\vec r = 7 \cdot \frac{\vec u}{\|\vec u\|}[/tex]
[tex]\vec r = \frac{7}{\sqrt{10}}\cdot (3, -1) = \left(\frac{21}{\sqrt{10}}, -\frac{7}{\sqrt{10}} \right) = \left(\frac{21\sqrt{10}}{10}, -\frac{7\sqrt{10}}{10} \right)[/tex]
13) and 14) The vector is the product of the magnitude and the directional vector:
13) [tex]\vec r = 7 \cdot (\cos 90^{\circ}, \sin 90^{\circ}) = (0, 7)[/tex]
14) [tex]\vec r = 6\cdot (\cos 210^{\circ}, \sin 210^{\circ}) = (- 3\sqrt{3}, - 3)[/tex]
15) Two vectors are orthogonal if and only if their dot product is zero:
[tex](3.2, 4.8) \,\bullet\,(-3, 2) =[/tex] 3.2 · (- 3) + 4.8 · 2 = 0
The vectors [tex]\vec a[/tex] and [tex]\vec b[/tex] are orthogonal.
The next three exercises are resolved by definitions of norm and direction:
16) [tex]\|\vec v\| = \sqrt{(-7)^{2}+7^{2}} = 7\sqrt{2}[/tex], [tex]\theta = 135^{\circ}[/tex]
17) [tex]\|\vec v\| = 17[/tex], [tex]\theta = 137^{\circ}[/tex]
18) [tex]\|\vec q\| = 12[/tex], [tex]\theta = 240^{\circ}[/tex]
The last exercise consist in defining the vector as a product of magnitude and direction vector:
19) [tex]\vec v = 25\cdot (\cos 38^{\circ}, \sin 38^{\circ}) = (19.700, 15.392)[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
Maria and henry are each starting a savings account. Maria puts $250 into her account each month. Henry puts $125 into his account each month. How much money will each of them have saved after 6 months? complete the table to solve
Answer:
maria: $2,500
henry:$750
Step-by-step explanation:
all you have to do is multiply them each by 6
Answer:
Maria will have $1500
Henry will have $750
Step-by-step explanation:
Maria - Multiply 250 x 6
Henry- Multiply 125 x 6
Evaluate -2x-2y when x = 2 and y=4
Heather wrote an inequality that compared the morning temperature, in degrees fahrenheit, of two different cities. Choose all of the inequalities
heather wrote an inequality that compared the morning temperature, in degrees fahrenheit, of two different cities.
choose all of the inequalities that heather could have written.
da.
2-3
b. 2 < -10 c. 4 >-20
d. -5 -3
foy
e. -8 < -15
The inequalities that Heather could have written to compare the temperatures will be:
B. 2 < -10
C. 4 >-20
E. -8 < -15
What is inequality?It should be noted that inequality us the relation between two expressions that aren't equal.
Therefore, the inequalities that Heather could have written to compare the temperatures will be: 2 < -10, 4 >-20,and -8 < -15.
Learn more about inequalities on:
https://brainly.com/question/24372553