Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
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, as a decimal.In this problem:
Her initial balance is of $300, hence [tex]A(0) = 300[/tex].The growth rate is of 15%, hence [tex]r = 0.15[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 300(1 + 0.15)^t[/tex]
[tex]A(t) = 300(1.15)^t[/tex]
It will reach $450 after t years, for which A(t) = 450, hence:
[tex]A(t) = 300(1.15)^t[/tex]
[tex]450 = 300(1.15)^t[/tex]
[tex]1.15^t = \frac{450}{300}[/tex]
[tex]1.15^t = 1.5[/tex]
[tex]\log{(1.15)^t} = \log{1.5}[/tex]
[tex]t\log{1.15} = \log{1.5}[/tex]
[tex]t = \frac{\log{1.5}}{\log{1.15}}[/tex]
[tex]t = 2.9[/tex]
It will take about 2.9 years for Emma's balance to reach $450.
A similar problem is given at https://brainly.com/question/14773454
Answer:
It will take about 2.9 years for Emma’s balance to reach $450.
(x+a)^2 -7 = x^2 +10x +b
Work out the value of a and b.
Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
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Answer:
OMG️️
Step-by-step explanation:
What is this❓
what have you wrote✍️
Answer:
hye nice what have written tell then I will answer you.
(PICTURE PROVIDED)
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Answer:
B
Step-by-step explanation:
What is the slope of the line?
Answer:
2
Step-by-step explanation:
Slope equals rise over run. use the slope formula
slope= (y2-y1)/(x2-x1)
find two points on the line. I used points (0,1) and points (1,3)
0=x1
1=y1
1=x2
3=y2
plug into the equation and you get
(3-1)/(1-0)=2
A city has a population of 38,802,500 people. Esitmate this population to the nearest ten million
Answer:
40,000,000
Step-by-step explanation:
hope this works
( No Copy answer Use)
:)
Task 2: Components of Your Will
Describe the components of your will and how you will specify each one.
Type your response here:
The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
Answer: $30,800
Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.
20 points answer please
Answer:
just d
Step-by-step explanation:
Hope this helps!❆
С
12 yd.
5 yd.
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
C=
yards
Answer:
C = 13
Step-by-step explanation:
A²+B²=C²
where c is the hypothenuse
5²+12²=c²
25+144=c²
169=c²
√169 = c
13 = c
p=5(q-2r)/r
solve for r
Answer:
r = 5q / (p + 10)
Step-by-step explanation:
p = 5(q - 2r)/r
multiply both sides by r
pr = 5(q - 2r)
distribute
pr = 5q - 10r
add 10r to both sides
pr + 10r = 5q
Factor out r
r(p + 10) = 5q
divide both sides by p + 10
r = 5q / (p + 10)
What is the area of this triangle
Answer:
A = 18 in²
Step-by-step explanation:
The area of a triangle can be calculated using the formula A = (bh)/2
where b = base length and h = height
Fortunately for us, the variables are already defined and given to us in the problem
All we have to do is plug in the values of h and b into the formula for area of a triangle
A = (bh)/2
b = 3 and h = 12
A = ((12)(3))/2
multiply 12 and 3
A = 36/2
divide 36 by 2
A = 18 in²
What is the equation for the line in slope-intercept form?
Enter your answer in the box. I'll give you 100 points
Answer:
y = -4x + 5.
Explanation:
Count rise/run to find the slope, find the y-intercept.
Answer:
y = -4x + 3
Step-by-step explanation:
First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].
5-13/0-(-2)
-8/2
-4
Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.
Third, input everything we found.
y = -4x + 5
Best of Luck!
Calculating interest
Answer:
Simple Interest is calculated using the following formula: SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period. Here, the rate is given in percentage (r%) is written as r/100. And the principal is the sum of money that remains constant for every year in the case of simple interest.
Step-by-step explanation:
hope this helps
aidan runs every morning before he goes to work.on Sunday,he ran 0.54km, on Monday he ran 1.25km,on Tuesday he ran 1.50km, on Wednesday he ran 1.75km and on Thursday he ran 2.30km.His goal was to run10km in these five days.dis aidan meet his goal?how long did he run?estimate and find the solution.
Answer:
no
Step-by-step explanation:
0.54 rounded to the nearest one is 1
1.25 is 1
1.50 is 1
1.75 is 2
2.30 is 2
all that added would give you 7 which is less than 10
the exact number is also 7.34
Cindy saves 420 each month her monthly salary is 2100 what is the ratio of the amount Cindy saves to the amount she earns each month?
the ratio of 2100 salary to 420 saved is 15:3 each month
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)
Answer:
327.5
Step-by-step explanation:
8452/23 = 327.478
Round to about 327.5 books per class
Answer:
each class gets 367 books
what is 4xy - 5y² - 3x² from 5x + 3y² - xy ?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{ \sf8 {y}^{2} + 3 {x}^{2} + 5x - 5xy}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]5x² + 3 {y}^{2} - xy - (4xy - 5y {}^{2} - 3 {x}^{2} )[/tex][tex]5x² + 3 {y}^{2} - xy - 4xy +5 {y}^{2} + 3 {x}^{2} [/tex][tex]3 {y}^{2} + 5 {y}^{2} + 3 {x}^{2} + 5x² - xy - 4xy[/tex][tex]8 {y}^{2} + 8 {x}^{2} - 5xy[/tex]The following for loop prints the numbers 1 to 20 on one line with a space between.
for (int i = 1; i <= 20; i++)
{
System.out.print(i + " " ); // prints each value of i followed by a space on one line
}
Question
Consider the for loop example above. Assume you want to adjust the loop to print only the even values from 1 and 20. What must the loop elements - counter initialization, conditional statement, and counter modification - be set to in order to accomplish the goal.
Review all options listed below carefully. You MUST select 3 answers; one for each element/category:
Counter initialization
Conditional statement
Counter modification
a. int i = 0;
b. int i = 1;
c. int i = 2;
d. i < 20;
e. i <= 20;
f. i > 20;
g. i++;
h. i+=1-;
i. i+=2;
Answer:
Counter initialization: [tex]\verb!int i = 2![/tex].
Conditional statement: [tex]\verb!i <= 20![/tex].
Counter modification: [tex]\verb!i += 2![/tex].
Step-by-step explanation:
In the current Java for-loop in this question:
The counter initialization statement [tex]\verb!int i = 1![/tex] in this for-loop would initialize the counter variable to integer [tex]1[/tex]. The conditional statement [tex]\verb!i <= 20![/tex] holds as long as the counter is less than or equal to [tex]20[/tex]. Thus, the largest possible value for the counter would be [tex]20\![/tex].The counter modification statement [tex]\verb!i++![/tex] is equivalent to [tex]\verb!i += 1![/tex]. This statement would add [tex]1[/tex] to the value of the counter in each iteration.The even integers between [tex]1[/tex] and [tex]20[/tex] includes [tex]2,\, 4,\, \dots,\, 20[/tex]. It would be necessary to add [tex]2[/tex] each time to get to the next number.
Since the list of even integers starts at [tex]2[/tex], it would be necessary to initialize the counter variable to [tex]2\![/tex] rather than [tex]1[/tex]. Thus, replace the counter initialization statement [tex]\verb!int i = 1![/tex] with [tex]\verb!int i = 2![/tex].
The maximum integer that this loop should print is still [tex]20[/tex]. Thus, the conditional statement [tex]\verb!i <= 20![/tex] does not need to be changed.
The for-loop should add [tex]2[/tex] to the counter each time to get to the next even integer. Thus, the counter modification statement [tex]\verb!i++![/tex] (or equivalently, [tex]\verb!i += 1![/tex]) should be replaced with [tex]\verb!i += 2![/tex].
Overall, the for-loop should be:
[tex]\begin{aligned}& \verb!for (int i = 2; i <= 20; i += 2) {!\\ &\quad \verb!System.out.print(i + " ");! \\ &\verb!}!\end{aligned}[/tex].
the average adult human has approximately 2.5 x10^13 red blood cells and 7 x 10^9 white blood cells ,about how many times greater is the number of red blood cells as the number of white blood cells
Step-by-step explanation:
The no. of red blood cells is 2.4993*10^13 more than the no. of white blood cells
What is product in math.
Answer:
so when you Mutpliy #*# = #product
Step-by-step explanation:
EX: 3*4=12
One number is twice another number. The sum of their reciprocals is 6. What are the numbers?
Answer:
8 and 2
Step-by-step explanation:
Answer:
1/4 and 1/2
Step-by-step explanation:
One number is twice another number.
x and 2x
The sum of their reciprocals is 6
[tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
Use common denominator of 2x
[tex]\frac{2}{2x}[/tex] + [tex]\frac{1}{2x}[/tex] = 6
[tex]\frac{3}{2x}[/tex] = 6
multiply botn sides by 2x
3 = 12x
Divide both sides by 12
1/4 = x
x = 1/4
2x = 1/2
The numbers are
1/4 and 1/2
Of the following sets which are equivalent to the set S = {an even number less than 10 } is
A = {Prime number less than 10 }
B = {Odd factor less than 15}
C= {Odd numbers less than 7}
D ={An even number between 10 and 15}
E ={An odd number between 10 and 16}
Answer:
A, 2
Step-by-step explanation:
We can immediately rule out B and C; they are odd numbers while S is an even number.
We can also rule out D and E. This is because D and E are greater than or equal to 10, while S is less than 10.
A number that can fulfill the requirements for both A and S is 2
What sentence represents this equation?
912=15−x
912 is the same as a number decreased by 15.
912 is the same as 15 decreased by a number.
15 decreased by 912 is the same as a number.
A number is the same as the difference of 15 and 912.
The sentence representing the equation is 912 is the same as 15 decreased by a number.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, 912 = 15 − x
Here, 912 is equal to a number which is being subtracted from 15.
Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.
For more references on equation, click;
https://brainly.com/question/10413253
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explain each step please :)
Answer:
u need to use the quadratic formula
Step-by-step explanation:
I think this is about it
b) Express 0.6363......as a rational number in its lowest term.
Answer:
[tex]\frac{7}{11}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating digits (63) placed after the decimal point.
let x = 0.636363..... (1) multiply both sides by 100
100x = 63.6363... (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 63 ( divide both sides by 99 )
x = [tex]\frac{63}{99}[/tex] = [tex]\frac{7}{11}[/tex] ← in simplest form
Find the missing angle measurement in each set of supplementary angles.
Supplementary angles sum up to 180°. Take the missing angle as 'x'.
148 + x = 180
x = 180 - 148
x = 32°
=》 Angle ABD = 32°
_________
Hope it helps!
RainbowSalt2222 ☔
Answer:
32 degrees
Step-by-step explanation:
Hi there!
Angle ABC measures 180 degrees since it's a straight line.
To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:
180-148 = 32
Therefore, angle ABD measures 32 degrees.
I hope this helps!
Which is the better deal? $39.55 for 7 pairs of jeans OR $22.48 for 4 pairs of jeans
Answer:
$22.48 for 4 pairs of jeans is a better deal.
Step-by-step explanation:
To find the price of one pair of jeans, you divide.
39.55 ÷ 7 = price of 1 pair of jeans
39.55 ÷ 7 = $5.65
22.48 ÷ 4 = price of 1 pair of jeans
22.48 ÷ 4 = $5.62
The price difference between the two prices is 3 cents. So, $22.48 for 4 pairs is a better deal that $39.55 for 7 pairs of jeans.
Hope this helps!
What will be displayed when the following code is executed? number = 6 while number > 0: number -= 3 print(number, end = ' ').
With number = 6, the while condition is satisfied. Then number is decremented by 3, meaning we replace the value of number (6) with its current value minus 3 6 - 3 = 3.
Then with number = 6, we still have number > 0, so we decrement again and end up with number = 0.
With number = 0, number > 0 is no longer true, so we exit the loop.
Then the print statement simply prints the current value of number, which is 0.
1) -x2
-Х2
I need help with this problem