Answer: [tex]f(x)=15500(1.0375)^x[/tex]
Step-by-step explanation:
The exponential model for growth is given by :-
[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time (in years).
Given: A= 15,500 r= 3.75% = 0.0375
The exponential model for the growth of this population will be :
[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]
hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]
I generally need help
Answer:
24 units²
Step-by-step explanation:
4(12)/2=24
does anyone know the answer to 5(2t+3)=75 that can tell me how to find the answer not just the answer
Answer: Let me know if this helps.
Step-by-step explanation:
5(2t+3)=75 Distribute the 5 using multiplication. 5x2t and 5x3
10t+15=75 Subtract 15 because you need to get the t by itself.
10t = 60 Now divide by 10 to get t by itself. 10/10 and 60/10.
t = 6 Answer.
Answer:
t=6
Step-by-step explanation:
It's all about get t on one side of the equation, and so everything else on the other side of the equation.
The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):
(5(2t+3))/5=75/5
2t+3=15
The next thing we can get rid of is the 3. Subtract 3 from both sides:
2t+3-3=15-3
2t=12
Now, we get rid of the 2. Divide both sides by 2:
2t/2=12/2
t=6
A light house worker is tracking a boat that is 5 km south of her. She is also tracking a boat
that is 6 km from the tower located 70° east of north. To the nearest kilometer, how
far apart are the two boats?
A. 7 km
B. 9 km
C. 8 km
D. 16 kM
Answer:
cccccccccccccccccccccccccccccc c
can someone please help me??
Answer:
There is only one solution and it is the point of intersection
Step-by-step explanation:
A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.
Answer:
[tex]A' = (0,0)[/tex]
[tex]B'= (9,18)[/tex]
[tex]C'= (21,12)[/tex]
Step-by-step explanation:
Given
[tex]A= (0,0)[/tex]
[tex]B= (3,6)[/tex]
[tex]C= (7,4)[/tex]
[tex]k = 3[/tex] -- dilation factor
Required
Determine the coordinates of the new triangle
This is calculated using:
[tex]New = Old * k[/tex]
So, we have:
[tex]A' = A *3[/tex]
[tex]A' = (0,0) *3[/tex]
[tex]A' = (0,0)[/tex]
[tex]B' = B * 3[/tex]
[tex]B'= (3,6)*3[/tex]
[tex]B'= (3*3,6*3)[/tex]
[tex]B'= (9,18)[/tex]
and
[tex]C' = C * 3[/tex]
[tex]C'= (7,4)*3[/tex]
[tex]C'= (7*3,4*3)[/tex]
[tex]C'= (21,12)[/tex]
Please answer this question now. Giving brainliest to anyone who answers
El alcance de tangente
Answer: ¿Qué significa alcance tangente? ¡Lo busqué y no dice nada!
Step-by-step explanation:
2.8 -3x =12.1 −6x what's x
what do you observe about the form of the equation of any circle whose center is at the point of origin
Ce clasă ești sa văd daca te pot ajuta
give all relationships between angle 1 and angle 2 select all that apply
Answer:
vertical maybe if try it and see
Mare has a monthly cell phone plan that has a fixed charge of $12 per month plus
$0.30 per text message. Marie wants to spend no more than $40 per month on her
call phone. Which inequality represents the number of text messages, X, that Marie
Please hurry
You need to multiply the cost per text message by the number of messages (x) add that to the fixed charge.
The total of those need to be less than or equal to the amount she wants to spend.
The equation would be written as:
0.30x + 12 <= 40
The y-intercept is 2.
Question 1 options:
True
False
Answer:
false. the y-intercept is -2.
I dont really understand this question, can anyone help me out?
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Angles.
Complementary angles sum up together to become 90°.
Supplementary Angles sum up together to become 180°.
hence,
1.) Ans ==>Angle ABC and Angle NMP
2.) Ans ==> angle ABC and angle EFG
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
To know more about the equation, here
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How can I solve this question?
draw a rectangle triangle :
sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:
[tex]17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}[/tex]
factor out the gcf 12y³+10y²
Answer:
Find the prime factors of each term in order to find the greatest common factor (GCF).
2y^2
Factoring out the greatest common factor (GCF)To factor the GCF out of a polynomial, we do the following: Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.
Step-by-step explanation:
Hope it is helpful.....
Your garden has 9 pots that use 2 1/3 bag of soil. How much soil does each pot hold?
Answer:
2 6/7
Step-by-step explanation:
i divided
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
Transform to slope-intercept form. 1+2y=6x-3
Answer: Y=3X-2
Step-by-step explanation:
First you are gonna need to combine all like factors.
1+2y=6x-3 (subtract 1 from both sides)
2y=6x-4
Then you need to get the y by itself.
2y=6x-4 (divide all terms by 2)
y=3x-2
now you are in slope intercept form (y=mx+b)
whyyyyyy does math suck help meeee plzz
Answer:
3 1/2
Step-by-step explanation:
the equation is 7/8x4/1 and can be rewritten as 7x4/8x1 = 28/8 which simplifies to 3 4/8 or 3 1/2
Which equation represents the line that passes through the point (1, 5) and has a slope of -2?
Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7
25a² -4b²+28bc-49c² factorize
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
Step-by-step explanation:
= 25 a²- ( 4b²- 28bc +49c²)
=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}
= 25a²- { (2b - 7c)²}
= (5a)²- (2b -7c)²
= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}
= ( 5a - 2b +7c) ( 5a +2b - 7c)
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
plz you find it useful plz mark my answer as brainlist.
You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.
Answer:
f(x)=.65+y
Step-by-step explanation:
.
The function for compound interest is A = 500 ( 1.065 )ˣ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6.5 %
The number of times the interest is applied = yearly
The principal amount P = $ 500
n = 1 ( compounded yearly )
t = x ( number of years )
So, the function that represents the balance y (in dollars) after x years is:
y ( x ) = 500 ( 1 + 0.065/1 )ˣ
On simplifying , we get
y ( x ) = 500 ( 1.065 )ˣ
Hence , the function is A = 500 ( 1.065 )ˣ
To learn more about compound interest click :
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A rectangle is 2/5 inches long and
1/3 inches wide what is the area of the rectangle
Answer:
2/15 inches
Step-by-step explanation:
(2/5)*(1/3)=2/15in
At 6:00 A.M., the temperature was 10º below zero. During the day, the temperature rose an average of 2º per hour. If h represents the number of hours since 6:00 A.M., which equation represents the temperature T?
Answer:
t=-10+2h
Step-by-step explanation:
Question: 2 out of 10
~!¡! Volume !¡!~
(Pleaaase go try to answer the first one- )
Answer:
B) 2,340
Step-by-step explanation:
The part that's cut off it says To the nearest tenth of a percent, what's percent...
and is the answer 3.3?
Answer:
Yes you are correct.
There is an unknown number of people at the table at the
beginning of lunch. Then...
3 more people joined the group.
Then the entire group divided into 2 groups, and
one group left and went outside,
of the total students were left in the lunchroom
5 people joined the group in the lunchroom.
The total number of people in the lunchroom at the
end of lunch was 10
a. Write the equation you can create to show this situation.
b. How many people were at the table at the beginning of lunch? Explain how you know.
Answer:
11 hours ago u prob dont need it
Step-by-step explanation:
123456
HELP I NEED HELP ASAP
A. Day 4 to Day 6
B. Day 8 to Day 10
C. Day 6 to Day 8
D. Day 10 to Day 12
Answer:
b
Step-by-step explanation:
trust i did it already
Answer:
the answer is B
Step-by-step explanation:
I just had that question
Need help in rush...someone pls help me! And pls show work
Answer:
7.2 or 7.20 my work is explained below!
first divide $3.00 by 5. our answer would be .6 (check: .6x5=3)
so now we know .6 is the cost of 1 ticket. so next, we would multiply .6 by 12 to get our answer. our answer would be 7.2 or 7.20.
I hope this helped, have a good day / night! :)
Answer:
[tex]\frac{5}{3}=1.66666666667 \\1.66666666667 * 6 = 10\\10 * 2 = 20[/tex]
Step-by-step explanation: