Exponential function is given by [tex]A(t)=A_0(1+r)^t[/tex].
Option (1) will be the correct option.
An exponential function given in the form of [tex]A(t)=A_0(1+r)^t[/tex]represents the growth/decay function.
Here, [tex]A(t)=[/tex] Final value
[tex]A_0=[/tex] Initial value
[tex]t=[/tex] Duration or time
[tex]r=[/tex] Rate of growth or decay
(1 + r) = Growth factor
By comparing this function with the exponential function given for the investment,
[tex]V(t)=30000(1.125)^t[/tex]
[tex](1+r)=(1+0.125)[/tex]
Therefore, 1.125 is the growth factor of the investment.
Learn more about the growth factor,
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Tickets for a basketball game cost $9 each plus a $3 service fee per order. You have $75. How many tickets can you purchase?
Answer:
She can purchase 6 tickets.
Step-by-step explanation:
Because 75 divided by 12 is 6.25 so that means she can purchase 6 tickets.
Answer:
You can purchase 8 tickets without the order fee but if put the order fee on you can purchase 6 tickets.
Hope this helps!
Donna ran a marathon (26 1/5 miles) in 4 1/10 hours. How many miles did Donna run in one hour?
Step-by-step explanation:
Donna Run
6 16/41 miles per hour
Hello,
2x+1=x(2+0)
True or false???????
Answer:
false right
Step-by-step explanation:
2 plus 2 and 45 plus 68
Answer:
117
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
2+2=4
45+68=113
113+4=117
Jemima receives £5 pocket money
she spends £1.75 on a magazine and 80p on a drink
a)what fraction of the pocket money is spent
b)what fraction of the pocket money does she have left
Answer:
51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.
Step-by-step explanation:
Since Jemima received $ 5 in pocket money, and spent $ 1.75 on a magazine and $ 0.80 on a drink, to determine the proportion of money he spent and the proportion he has left, the following calculation must be performed:
5 - (1.75 + 0.80) = X
5 - 2.55 = X
2.45 = X
5 = 100
2.55 = X
(2.55 x 100) / 5 = X
255/5 = X
51 = X
Therefore, 51% of the money was spent, that is, 51/100. In conclusion, Jemina still has 49/100 of the money available.
Joe sells used cars. He recorded the age (in years) of each car on his lot along with the number of kilometers it
had been driven. After plotting his results, Joe noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting distance
driven from the age of the car:
y = 11,000 + 18,000x
What is the residual of a car that is 2 years old and has been driven 50,000 km?
Answer:3000 km
Step-by-step explanation:
The car will be 2 years old if it has been driven 50000km
Regression equationsGive the equation for predicting the distance driven from the age of the car expressed as:
y = 11,000 + 18,000xwhere:
x is the age (in years) of each cary is the number of kilometers it had been drivenIf the car is 2 years old, the residual of the car is given as:
y = 11,000 + 18,000x
y=11000 + 18000(2)
y = 11000 + 36000
y= 47000km
If the car has driven 57,000km, the age of the car will be expressed as:
50000 = 11000 + 18000x
50000 - 11000 = 18000x
39000 = 18000x
x = 39/18
y = 2 years
Hence the car will be 2 years old if it has been driven 50000km
Learn more on regression equations here: https://brainly.com/question/732489
please graph (-5,2) thank you
Answer:
I hope this helps!!!
Step-by-step explanation:
can someone explain to me of how to do this?
Answer:
1) 11
2) 15
Step-by-step explanation:
The bars on the sides of the numbers represent the absolute value/magnitude of the number, so you will need to remove the negative symbol if it is present in front of the number (if it is already a positive number, leave it as it is).
Example:
[tex]|-3+2| = |-1|[/tex]
[tex]= 1[/tex]
Hope this helps :)
2500 freshmen took an Algebra test through North Carolina Virtual Public school.The
scores were distributed normally with a mean of 75 and a standard deviation of 7.
How many algebra students scored between 68 and 82?
A. 2000
B. 1950
C. 1700
D. 680
What is 4708.06 rounded up to the nearest thousandths?
Answer:
4708.060
Step-by-step explanation:
The third place after the decimal is the thousands place, so there is nothing to change considering we do not know anything after the six. If a number after the number after six was 5 or higher, it would be 4708.007 :)
Write numbers to make each line have the same sum
Answer:
There is nothing here?
Step-by-step explanation:
5x2= wat??? i really didnt get this in class and really need help
Answer:
10
Step-by-step explanation:
5 x 2 = 10
Let's put it this way. 5 two times. 5 and 5. 5 + 5
Add them. you get 10.
Answer:
10, bro if you in college like the question says i feel bad for you. other wise you in 2nd grade.
Step-by-step explanation:
What is the equation in slope-intercept form for the line that passes
through the points (1, 2) and (3, 4)?
What is the result of 122÷8? Use the number line to find the answer
A: 7
B:14
C:16
D:28
Please help!
Answer: I would go towards B
Step-by-step explanation:
122/8 = 15.25
This is more towards 15, so put the dot in the middle of 14 and 16
i need help to figure out how to simplify this expression down
Answer:
This is a tricky question.
You can pull the fraction apart but with caution.
-21/3 + (±[tex]b^{2}[/tex] - 4ac)/3
Ignore the A in the equation below, it's a bug.
[tex]\frac{-21}{3} + \frac{±b^2 - 4ac}{3}[/tex]
There is a line whose slope is 2 and whose slope is 2 and whose y- intercept is 8. What is its equation in slope-intercept form?
The ordered pair (-1,- 3) is a solution to the inequality y>-5x^4+ 7x^3 +8.
True
False
Answer:
Subsitute the known point: (-1,3)
y>-5x^4+ 7x^3 +8.
3> -5(-1)^4 + 7(-1)^3 + 8
3> -5(1) + 7(-1) + 8
3> -5 - 7 + 8
3 > -4
True
3 Is greater than -4.
Answer:
True
Step-by-step explanation:
Just got it right on edge!
Solve the equation 3x^2+8=83
Answer:
x = 5
Step-by-step explanation:
3x² + 8 = 83
3x² = 83 - 8
3x² = 75
x² = 75/3
x² = 25
x = √25
x = 5
-TheUnknownScientist
Answer:
x =5
Step-by-step explanation:
3x²+8=83
3x²=83-8
3x²=75
x²=75
3
x²=25
x=√25
x=5
hope it help u.
HELP ASAP EASY MATH ***25 Points
What is the slope of the line passing through the points (-1, 3) and (4, – 7)?
A. -2
B. 3/4
C. -4/3 (1 1/3)
D. 2
Find the length of BC
Answer:
BC=26.05
Step-by-step explanation:
by tan(X) rule
tan(61)=47/BC
BC= 47 / tan(61)
BC=26.05
Answer:
BC = 26.05Step-by-step explanation:
Given Information :
Hypotenuse : Not given
Opposite : 47
Adjacent : BC
Angle ( θ) = 61°
Using SOHCAHTOA
[tex]Tan\: \theta = \frac{Opposite}{Adjacent} \\\\Tan \: 61 = \frac{47}{BC} \\\\1.804 = \frac{47}{BC}\\\\Cross\:Multiply\\1.804BC= 47\\\\Divide\:both\:sides\:by\:1.8 \\\\\frac{1.804BC}{1.804} = \frac{47}{1.804} \\\\BC= 26.05[/tex]
To prove TRUE OR FALSE
Math reciprocal problem
Answer:
true
Step-by-step explanation:
can anyone solve? I need to finish my algerbra nation. The question asks what the equivlent radical expression?[tex]\sqrt[3]{m^{2}n^5 }[/tex]
Answer:
3 n 2 | m | √ n
Step-by-step explanation:
Hope this helps
Answer:
m2/3 5/3
Step-by-step explanation:
Can you Solve 7x-15= ?
What is the value of X?
5 10 15 x 50
4 8 12 32 40
A.) 19
B.) 20
C.) 40
D.) 48
Answer:
b which is 20 each time they add 5
BRAINZLIEST
150 is 25% ofwhat number? Four atudents solved this problem using equivalent ratios. Choose the student whose
work is 0orrect
Liam's work
Yasmin's work
Bill's work
Isabella's work
part
whole
25x6 150
150 x 6 900
part
whole
100- 5
part
whole
part
whole
25 x6
150
20
5
150+6
100+6
25
16.67
100 x6 600
25+5
Answer:
liam
Step-by-step explanation:
We have, 25% × x = 150
or,
25
100
× x = 150
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 150 ×
100
25
x = 600
If you are using a calculator, simply enter 150×100÷25, which will give you the answer.
Answer:
liam is correct
Step-by-step explanation:
A total of 200 video game players take a survey on their favorite game. Unknown Kingdom
gets 55% of the votes, The video game designers want to know how many players voted for
Unknown Kingdom.
Wite 55% as a rate per 100.
55
559%
e Find an equivalent ratio where the number of players surveyed is 200.
Votes
55
Players Suveyed
100
200
Answer:
Could you explain it another way?
Step-by-step explanation:
linear or nonlinear
x 1 2 3 4
y 1 8 27 64
Help on this question pls .... (the question is at the top) I will cashapp you I have been waiting for this answer for the longest
Answer:
$59.94
Step-by-step explanation:
So for this question, you need to find 8% of 748.
You can do this by multiplying .08 by 748:
.08(748) = 59.94
Answer:
149.6
Step-by-step explanation:
Classify ACD by its angle measures.
Answer:
Right triangle
Step-by-step explanation:
Angle ACD is a right angle. Thus, angle ACD = 90°.
Any triangle that has one of its angles measuring 90° is said to be a right triangle.
Thus, triangle ACD has one of its angles measuring 90°. Therefore, ∆ACD is a right triangle.
I need just the answer, no step to step
just divide the price by the amount of oz. I don't have a calculator but that's what you do. Just round according to money.
Answer:
1) [tex]\huge\boxed{\sf 5.7}[/tex]
2) [tex]\huge\boxed{6.4}[/tex]
Step-by-step explanation:
74 oz = $ 4.24
74 oz = 4.25 * 100 cents
74 oz = 425 cents
Divide bot sides by 74
1 oz = 425 / 74 ¢ / oz
1 oz = 5.7 ¢ / oz
[tex]\rule[225]{225}{2}[/tex]
42 oz. = $2.69
42 oz = 2.69 * 100 cents
42 oz = 269 cents
1 oz = 269 / 42 cents
1 oz = 6.4 ¢ / oz
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807