Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Answers
Andre's account after t years is [tex]V_h=538.45(1.025)^t[/tex] since is option C.
Amount at the year endThe Amount accumulated at the end of a interest year is the sum of the principla amount and the interest gained on the principal amount.
How to find amount at the end of interest year?As Andres start the savings account after 3 years so, the equation representing the value of Andre's account after t years is-[tex]v_h=500(1.025)^{t-3}[/tex].
Also, the amount accumulated in the mean 3 years will be-
[tex]A=500(1.025)^3[/tex]
=$538.45
Hence, another way of writing the equation representing the value of Andre's account after t years is-[tex]V_h=538.45(1.025)^t[/tex]
As a result, option C is the correct answer.
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Related Questions
The numbers in the triangles below go together following the
4
9
8
7
3
2
6
Find the missing number.
A 1
B 3
Answers
Answer:
1
by looking only 1 is missing
PLEASE HELP What is the area of the trapezoid?
Answers
Step by step explanation:
Answer:
Step-by-step explanation:
[tex]\text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$}[/tex]
a and b are the length of the parallel sides.
a = 8 + 4 + 4 = 16 in
b = 8 in
h = height = 6 in
[tex]Area = \dfrac{(8+16)*6}{2}\\\\\\=\dfrac{24*6}{2}\\\\=24*3\\\\= 72 \ in^{2}[/tex]
Help this is due in 15 mins!
Answers
Answer:
Area of the rectangle = 20 square units
Area of left triangle = 8 square units
Area of right triangle = 6 square units
Area of whole figure = 34 square units
Step-by-step explanation:
Alright, area of a rectangle is Base · Height. The base of the rectangle is 5 units and the height is 4 units. 5 · 4 = 20 square units.
Area of a triangle is (Base · Height)/2. The triangle on the left is 4 units tall and 4 units wide. 4 · 4 ÷ 2 = 8 square units.
The triangle on the right is 4 units tall and 3 units wide. 4 · 3 ÷ 2 = 6 square units.
To get the area of the whole figure, you can just add the area of all three shapes. 20 + 8 + 6 = 34 square units.
Hope this helps! :)
Answer:
Rectangle's area;
Length: 4
Width: 5
Formula for area of rectangle;
A = L*W
Replace values:-
A = 4(5)
A = 20.
Left triangle's area;
Base = 4
Height: 4
Formula for area of triangle;
A = BH x 1/2
Replace values:-
A = 4(4) x 1/2
A = 16 x 1/2
A = 16/2
A = 8.
Right triangle's area;
Base = 3
Height: 4
Formula for area of triangle:
A = BH x 1/2
Replace values:-
A = 3(4) x 1/2
A = 12 x 1/2
A = 12/2
A = 6.
Add all the areas we've found so far to get the figure's total area:
20 + 8 + 6
= 34.
Please help I am not understanding
Answers
Answer:
12.39cm
Step-by-step explanation:
cos 25°=AB/12.5
AB=12.5 cos 25°
cos 25°=0.9912
AB=12.5×0.9912
=12.39cm
Deandre Willis is single and owns a hair salon. He has calculated the following assets and liabilities. Find DeAndre‘s net worth.
ASSETS
- current value of the hair salon: $180,000
- current value of car: $12,500
- checking account balance: $1,300
- combined savings: $18,000
- balance in retirement account: $30,000
- current value of owned electronics: $20,000
LIABILITIES
- remaining balance on mortgage: $120,000
- remaining balance on personal loan: $4,600
- combined credit card debt: $23,000
Answers
Given the value of DeAndre‘s assets and liabilities, his net worth is $114,200.
What is the net worth?Net worth is the value of the assets less the liabilities.
Net worth = assets - liabilities
Assets = $180,000 + $12,500 + $1,300 + $18,000 + $30,000 + $20,000= $261,800
Liabilities = $120,000 + $4,600 + $23,000 = $147,600
Net worth = $261,800 - $147,600 = $114,200
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If f(x) = 5x^5 + 1, then what is the remainder when f(x) is divided by x + 1?
Answers
Answer:
2l
Step-by-step explanation:
hence.f10 divido 8-2
Which graph represents the function f(x) = - |x - 2| - 1?
Answers
Answer:
nsgs6
68÷9
02_3
73929
Step-by-step explanation:
8282×627=628373
Answer:
i hope this helps you!
Step-by-step explanation:
A scientist notes the bacteria count in a petrie dish is 40. Three hours later, she notes the count has increased to 75. Using an exponential model, how many hours will it take for the bacteria count to grow from 75 to 120? Express the answer to the nearest tenth of an hour. Hint: You are NOT looking for the total time to reach 120. You are looking for the elapsed time from 75 to 120.
Answers
The number of hours it would take for the bacteria count to grow from 75 to 120 is 2 hours.
How many hours would it for the bacteria count to grow from 75 to 120?The first step is to determine the rate of increase of the bacteria. The formula that can be used is:
g = (FV / PV)^(1/n) - 1
Where:
FV = 75PV = 40 n = 3 hours(75/40)^(1/3) - 1 = 23.3%
The formula that can be used to determine the number of hours it would take for the population to grow from 75 to 120 is:
Number of hours = (IN FV / PV) / r
(IN 120/75) / 0.233 = 2 hours
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You work in the mayor’s office and you are providing the mayor with a list of talking points for a speech. In your town, 13
1
3
of the residents live in rented dwellings. Of those who live in rented dwellings, 12
1
2
are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children?
Answers
Answer:12/13
Step-by-step explanation:12/13
Describe how to find the sale price of an item that has been discounted 15%.
Answers
Answer:
Convert 15% to a regular number by moving the decimal 2 times to the left so 15.0 becomes 0.15 then do 0.15 × the original price, then take the original price and subtract the amount you got from doing 0.15 × the original price
convert 36 inches to feet there are 12 inches in a foot
HELP ASAP PLEASE>:)
Answers
Answer:
3 feet
Step-by-step explanation:
Use the equation from the previous problem to predict the price of bzg stock on day 30.
Answers
Answer:
925.798
Step-by-step explanation:
1.65(x) x 18.703 = 925.798
write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice
Answers
Answer:
Step-by-step explanation:
1/3 of the original
Step-by-step explanation:
one piece is TWO times longer than the other one. if you break it in half you have three pieces that are all the same size
Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 Mark has two summer jobs he babysits and helps with the gardening he works at each job three days a week and I was a total of 240 the table shows his earnings each day how much money does he earn each day babysitting
Answers
Answer:
$5.71 a day
Step-by-step explanation:
240/6 = 40
40/7 = 5.71428571429
Round 5.71428571429 = 5.71
What is question c in the question?
Answers
Answer:
y = [tex]4^{10}[/tex]
or
y = 1048576
Step-by-step explanation:
Function:
y = [tex]q^{x}[/tex]
Given values:
q = 4
x = 10
Substitute the given values into the function:
y = [tex]4^{10}[/tex]
or
y = 1048576
hope this helps and is right!! p.s. i really need brainliest :)
What is the answer to this equation
3 1/2 - 27/8
Answers
Answer:
1/8
Change 27/8 into a mixed number 3 3/8
Answer: 1/8
Step-by-step explanation: I explain in the photo ! have a good day
Find the value of x.?
Answers
Your answer is ≈ 19
Step-by-step explanation:
180 - 124 = 56
56 / 3 = 18.66666666666667
18.66666666666667 round it up...…
19
X = 19
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
A taxi ride cost a flat fee of 4. 00 plus an additional 1. 25 per mile how many mile would a person travel if they paid 19. 0
Answers
Answer:
12 miles
Step-by-step explanation:
19 - 4 = 15
15/1.25 = 12
A construction company takes
1/6 hours to remove 1/2
metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form.
Answers
Answer:
3 tons per hour
Step-by-step explanation:
Since 0.5=1/6
you can multiply 0.5 by 6:
0.5x6= 3
With an ending result of 3 tons per hour
Please I really need help!? NOW!! Will give brainest!!
Answers
Answer:
the figure is a rectangle with a side of trapezium
according to my calculation the answer is
196m²
explanationArea of trapezium =½(10+8)×4=36
Area of rectangle =10×16=160
add=160+36
therefore the answer is 196m²Which subtraction equation shows how to subtract
4
2
12
−
2
8
12
using equivalent fractions?
A.
42
12
−
28
12
B.
18
12
−
22
12
C.
50
12
−
32
12
D.
48
12
−
24
12
Answers
How do I subtract a fraction from a whole number? Take the LCM of denominator of both the fractions (the denominator of whole number is one). Then, in both the numbers divide the LCM by the denominator and multiply the result by the numerator. Subtract the numbers in numerators and you will get your answer.
A person places $81200 in an investment account earning an annual rate of 3. 6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 13 years
Answers
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$81200\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ t=years\dotfill &13 \end{cases} \\\\\\ A=81200e^{0.036\cdot 13}\implies A=81200e^{0.468}\implies A\approx 129659.95[/tex]
hello, please answer the question, please show work
Answers
2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft
Answers
None of the above. To form a standard triangle, all 3 sides must be of equal length.
PLEASE READ THE PICTURE
Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!
Answers
-5¾-3-4 that correct
A university class has had 8 graduate students enroll so far, as well as 8 other students. Considering this data, how many of the next 12 students to enroll should you expect to be graduate students?
Answers
6 Students
[tex]\bold{EXPLANATIONS:}[/tex]
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare.
Answers
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
WILL GET BRAINLIEST!!!!!!
Answers
Answer:
d=8
e=11.31
Step-by-step explanation:
side8 and side(d) are the same length
8squared+8squared=128
[tex]\sqrt{128}[/tex]=11.31
hope this helps!
Answer:
d = 8 and e = 8√2 ( e = 11.31 do the nearest hundredth)
Step-by-step explanation:
This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2
So d = 8
and
e = 8√2.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days. How many milligrams of a 7 mg sample will be left after 127 days? round to the hundredths place
Answers
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &7\\ t=\textit{elapsed time}\dotfill &127\\ h=\textit{half-life}\dotfill &64.8 \end{cases} \\\\\\ A=7\left( \frac{1}{2} \right)^{\frac{127}{64.8}}\implies A=7\left( \frac{1}{2} \right)^{\frac{635}{324}}\implies A\approx 1.80[/tex]
The half-life of sr-85, which may be used in bone scans, is 64.8 days. 1.80 milligrams of a 7 mg sample will be left after 127 days.
What is half-life?Half-life is defined as the time required for a quantity to reduce to half of its initial value.
The half-life of sr-85, which may be used in bone scans, is 64. 8 days.
We need to find how many milligrams of a 7 mg sample will be left after 127 days.
[tex]\rm A = P\frac{1}{2} ^{t/h}[/tex]
here A = current amount
P = inital amount
t = time
h = half life
So,
[tex]\rm A = 7\frac{1}{2} ^{127/64.8}[/tex]
[tex]\rm A = 7\frac{1}{2} ^{635/324}\\A = 1.80[/tex]
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Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answers
Answer:
8
Step-by-step explanation: