Answer:
y(t) = 494 (1.03)^t
y(10) = 663,89
Step-by-step explanation:
An increase in population by 3% each year means that at the end of each year, the population is 1.03 times what it was at the start of the year
This increase in population continues for t years
Exponential growth model that represents the population y (in thousands) t years after the beginning of the decade is
y(t) = 494 (1.03)^t
Where,
y = population
t = number of years
Find y when t = 10
y(t) = 494 (1.03)^t
y(10) = 494 (1.03)^10
= 494 ( 1.3439)
= 663.8866
Approximately y(10) = 663.89
This means that after 10 years from when the population was 494,000, it increased to 663,89.
Solve the formula C = rd for d.
O A. de C
O
T
OB. d= C-1
O C. d=1
O D. d= TC
Answer:
C/R = D
Step-by-step explanation:
When you divide rd by r, then r is eliminated and divided into the C
A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (i dont get this one, please explain :)
Answer:
35 days
Step-by-step explanation:
A = 14 days
It means per day, work done by A= 1 / 14
A+B = 10 days
Work done by A and B per day = 1 / 10
In what time can B alone do the work?
To solve this, we have
A+B = A alone + B alone
1/10 = 1/14 + B alone
Subtract 1/14 from both sides
1/10 - 1/14 = 1/14 + B alone - 1/14
14-10/140 = B alone
4/140 = B alone
B alone= 1 / 35
Work done of B alone = 1/35
B alone will do the work in 35 days
Answer:
35 days.
Step-by-step explanation:
A can do the work in 14 days: per day work done by A=1/14
A and B can do the work in 10 days: per day work done by A and B=1/10
Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.
So, B takes 35 days.
Duval scored 10 more than 2 times the number of points scored by a
player, x. Which equation shows the number of points, y, Duval scored?
Answer:
2x + 10 = y
Step-by-step explanation:
The term 10 more is plus 10, and 2 times the "number" which we know we can label as "x". 2x + 10 is the equation and we are told that y is the number of points so 2x + 10 = y is the answer.
Hope that helps, and have a great day!
how to do this question plz
Answer:
The answer is yes.
Step-by-step explanation:
All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.
ONLY DO #10-29
13 points!! WILL MARK AS BRAINLIST
Answer:
same as ramen said #13
hope you pass♡
3. (02.01)
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)
a. 1
b.4
c.5
d.25
Answer:
A. 1
Step-by-step explanation:
3(x+1)=-2(x-1)+6
3x+3=2x-2+6
x+3=4
x=1
Given: g(x) = 3x² + 2 and h(x) = 2x + 2
Find: g(h(x))
Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
PLEASEEE HELP MEEE!❤️
Simplify 3(x + 9) - (x - 6)
Ms. G, Mr. Adams, and Ms. Leahman are going for a bike ride together on Saturday. They want to meet each other in the city but they all live in Bedstuy. Ms. G and Ms. Leahman have to bike 4 miles there, Mr. Adams is 5 miles away. They meet each other in the city and bike 2 miles together. Then they all return home the same way. How many miles did they all bike in total on Saturday?
Answer: 22 miles
Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:
4 miles to go to the city;
2 miles with Mr. Adams;
4 miles back to Bedstuy;
Then, both biked:
4 + 2 + 4 = 10 miles
Now, Mr. Adams bikes:
5 miles to go to the city;
2 miles together with the other two;
5 miles back to Bedstuy;
Then, he biked, in total:
5 + 2 + 5 = 12miles
So, the three of them biked, in total:
10 + 12 = 22
On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.
determine which of the following relation is a function
Answer: IT is A and C
3. A recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
How many deci-grams will there be in 60 cookies?
Answer:
250 i thoink
Step-by-step explanation:
For making 60 cookies the amount of butter will be 250 decigrams.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.
The amount of butter for 60 cookies in decigrams will be calculated as,
12 cookies = 5 grams
12 cookies = 50 dg
60 cookies = ( 50 x 60 ) /60
60 cookies = 250 dg
To know more about an expression follow
https://brainly.com/question/11311384
#SPJ2
what is the irrational number between 2.8888... and 2.9999...?
Answer:
[tex]\sqrt{8.5}[/tex]
Step-by-step explanation:
[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]
that's clearly between 2.888888.... and 2.999999....
The quotient of six and the sum of a number and eight
Answer:
6
——
x+8
Step-by-step explanation:
The quotient of six (6) and the sum of a number and eight (8) is equal to [tex]\frac{x + 8}{6}[/tex]
Let the unknown number be x.
In Mathematics, quotient simply means to divide a number by another number without any remainder.
Translating the word problem into an algebraic expression, we have;
The sum of a number and eight = [tex]x + 8[/tex]
Quotient of six (6) and the sum of a number and eight (8) is equal to;
[tex]\frac{x + 8}{6}[/tex]
In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to [tex]\frac{x + 8}{6}[/tex]
Find more information: brainly.com/question/21449543
A family has a gross monthly income of $4395. Their monthly home mortgage payment is $1896. In general,
lenders follow the "28 percent rule", meaning no more than 28 percent of your gross income should go towards
your mortgage. Is this family within the recommended guidelines or are they spending too much for their home?
Explain your answer.
Subtract 3x^2 + 8x from -9x^2 +3x -8
Answer:
[tex] \boxed{ \bold{ \huge {\boxed{ \sf{ - 12 {x}^{2} - 5x - 8}}}}}[/tex]
Step by step explanation
[tex] \sf{ - 9 {x}^{2} + 3x - 8 - (3 {x}^{2} + 8x)}[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} + 3x - 8 - 3 {x}^{2} - 8x}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 9 {x}^{2} - 3 {x}^{2} + 3x - 8x - 8}}[/tex]
[tex] \dashrightarrow{ \sf{ - 12 {x}^{2} - 5x - 8}}[/tex]
Hope I helped!
Best regards!
Could someone please help me with 1 and 2 please
Answer:
1. 1,2 2,3 ,3,4, 4,5, 5,6
2.-2,1 -1,-1 0,-2 1,-1 2,1
Step-by-step explanation:
help me i need a lot of help thank you branly
Answer:its b) 19
4xl-7l-l-9l
=4x7-9
=28-9
=19
A T-shirt shop charges $15 for an adult shirt and $12 for a youth shirt. The total charge for a shirt order was $489.
Which equation can be used to represent x, the number of adult shirts sold and y, the number of youth shirts sold?
12x + 15y = 489
27x + 15y = 489
15x + 12y = 489
15x + 3y = 489
Answer: C. 15x + 12y = 489
Step-by-step explanation: Got it right on edge test
Answer:
C
Step-by-step explanation:
15x+12y=489
One bus averages 58 mi/h, and the other bus averages 54 mi/h. When will they be 365 miles apart?
Answer:
T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART
Step-by-step explanation:
internet
Name the plane represented by the front of the box.
B
JE
F
K
ODBF
GBF
ОСАВ
BJC
Answer:
not sure
Step-by-step explanation:
not sure what you're trying to show?
|wz| – |xy| when w = –4, x = 2, y = , and z = –6.
Answer:
Answer= 23
Step-by-step explanation:
The problem would look like this: |(-4)(-6)| - |(2)(1/2)|
if solved it should look like this: |24| - |1|
which is: 24 - 1 = 23
k/7 = 10 solve for k
Answer:
k=70
Step-by-step explanation:
to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70
Answer:
Step-by-step explanation:
k/7 = 10
or, k = 7*10
Therefore, k=70.
Antointette puts the letters of her name inside a bag and picks one letter at random what is the probability that Antoinette picks a vowel
Answer:
5/11 or 0.4545
Step-by-step explanation:
I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.
Please explain the answer! Will give brainliest :)
We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.
A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].
Hope this helps.
頑張って!
Find the midpoint of the line segment joining the two points.
(1.8, -3.4) and (-0.4, 1.4)
Answer:
(0.7, -1)
Step-by-step explanation:
To find the coordinates for the midpoint you add each coordinate together and divide by 2.
M = ([tex]\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}[/tex])
M = [tex](\frac{1.4}{2}, \frac{-2}{2})[/tex]
M = (0.7, -1)
Evaluate the expression for a = 3, b = 2, and c = 4. Write in simplest form.
Hello There!
Write out your equation:
Substitute the values in:
Simplify:
Solve:
It is 6.25.
Therefore, your answer is 6 1/4.
Hope This Helps You!
Good Luck :)
POSSIBLE POINTS: 10
Dean is making a phone call with a calling card. The calling card charges $3.00 for the first five minutes and 50.25 for each extra minute (or
part of a minute).
1. Find the cost of a 10 minute call on this phone
2. Find the cost of a 15.5 minute call on this phone
Step-by-step explanation:
I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.
For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.
For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.
Answer:
1 = 100. 50 2 = 65 . 30
Step-by-step explanation:
just add extra minutes and mins to call okkk
match eith the appropiate property:
Answer:
Commutative property of multiplication.
Step-by-step explanation:
This property says that changing the order of factors doesn't change the product.
Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15
this is equivalent? TRUE OR FALSE.
Step-by-step explanation:
yes of course...
just like
saying 2=x is equivalent to x=2
similarly x<3 is equivalent to 3>x