Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer:
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=7500\hspace{35px}r=0.015\hspace{35px}t=8
P=7500r=0.015t=8
Given values
A=7500e^{0.015(8)}
A=7500e
0.015(8)
Plug in
A=7500e^{0.12}
A=7500e
0.12
Multiply
A=8456.22638685
A=8456.22638685
Use calculator (with e button)
A\approx 8500
A≈8500
Round to nearest hundred dollars
Step-by-step explanation:
The amount of money to the nearest hundred dollars that would be in the account after 8 years is $60,900.
What is the future value of the account?The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate7500 x e^0.015 x 8 = $60,900
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Stonebridge neighborhood garage sale had these cash receipts for 5 days: $136.97, $256.21, $366.10, $176.04, $72.49. What were the total cash receipts?
Answer:
5039.05
Step-by-step explanation:
Add everything and then multiply by 5
Answer:
5039.05
Step-by-step explanation:
can i get some help plz with this
Answer:
translation then reflection is the answer
Step-by-step explanation:
Yall can you answer this.
Which equation is true when k= -15
Answer:
k over 3 +17 =12
Step-by-step explanation:
-15/3=-5
-5+17=12
Which equation represents a line that passes through the two points in the table? x3,6 y 1,6
The lines is represented by (D)
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.
As, the solution given:
put x=3
y-1 = 0
y=1
Similarly, x= 6
y-1= 5/3 * (3)
y-1 = 5
y=6
Hence, the lines represent y-1 = 5/3 ( x- 3)
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Answer:y-1 = 5/3 ( x- 3)
what number can be added to 55 and have 45 and 9 as thier greatest common factor?
Answer:
36
Step-by-step explanation:
what is the squared root of 64?
Answer:
8
Step-by-step explanation:
Answer:
the square root is 8
Step-by-step explanation:
Simplify 4^3* 4^5 please help me
Answer:
C.
Step-by-step explanation:
add the numbers (power numbers)
=4^8
I will brainlist whoever gets it right.
The results of a swim meet are shown. Who swam faster? Explain your reasoning.
Name: /Event: /Time:
Tawni / 50-m Freestyle / 40.8
Pepta / 100-m Butterfly / 60.2
Susana / 200-m Medley / 112.4
Answer:
Susana
Step-by-step explanation:
divide the m by the time to get how many mps
50/40.8=1.225 mps
100/60.2=1.661 mps
200/112.4=1.779 mps
x-4 is greater than -8 in interval notation
Answer:
x
−
4
=
−
8
=
Step-by-step explanation:
f(x) = -2x + 5
f ( ) = 13
Answer:
Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.
Step-by-step explanation:
so, if f (x) equals 13, you replace the x in the equation to 13.
f(x)=-2x+5
f(x)=-2(13)+5
f(x)=26+5
f(x)=31
I believe 41 would be your answer. Hope this is right and it helped!
issac is a clothing salesman working on straight commission. He sold $1311
this week and gets 9% commission. How much did he earn?
Answer:
Isaac earned $117.99 this week
Step-by-step explanation:
Percentages
The N% of a quantity M is calculated as follows:
N * M / 100
Isaac earns a 9% commission for his sales.
This week he sold $1,311, thus his commission is:
9 * 1,311 / 100 = 117.99
Isaac earned $117.99 this week
the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?
Answer:
Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100
Step-by-step explanation:
So basically:
1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.
2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.
3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.
I hope this helps:)
Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?
Answer:
$7.80
Step-by-step explanation:
$2.60 * 3 = $7.80
On a bicycle, you can travel 20 miles in 4 hours. At this
same rate, what distance can you travel in 6 hours?
Answer:
30miles
Step-by-step explanation:
You go 5 miles everyone 1 hour (you can find this out by dividing 20 by 4)
5 multiplied by 6 equals 30
20÷4=55×6=30Question 1 of 10 The slope of the line below is - Write a point-slope equation of the line using the coordinates of the labeled point.
Which inequality represents this situation?
Players must practice at least 45 minutes a day.
t 45
t ≥ 45
Answer:
t≥45
Step-by-step explanation:
If it says at least, it means fine must be greater than or equal to 45.
For the function, f(x) = 2x + 1. If f(x) = 3, what is the value of x?
A. 2
B. 1
C. 7
D.0
Answer:
B. (1) is the value of x
Step-by-step explanation:
Answer:
i got -0.5
Step-by-step explanation:
Find the 62nd term of the arithmetic sequence -27, -21, -15
The 62nd term of the arithmetic sequence -27, -21, -15 is 339
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn =a+(n-1)d
Given the sequence -27, -21, -15
a is the first term = -27
d is the common difference = -21 + 27 = 6
n = 62
Substitute
T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)
T62 = -27 + 366
T62 = 339
Hence the 62nd term of the arithmetic sequence -27, -21, -15 is 339
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Help me please and thanks
I need HELP ASAP RIGHT AWAY
Answer:
line c and e
Step-by-step explanation:
Help me solve this problem please
Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|
Answer:
Stretch of 2/3, right by 7
7.82 change the decimals to fractions reduced to lowest terms.
Answer:
7.82 = 391
50
= 741
50
as a fraction
To convert the decimal 7.82 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
7.82 = 7.82
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
7.82
1
= (7.82 × 100)
(1 × 100)
= 782
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,
(782÷2)
(100÷2)
= 391
50
when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 782
100
is also equal to 741
50
when expressed as a mixed number.
Step-by-step explanation:
Answer:
7.82
20
Step-by-step explanation:
hope this helps
PLEASE HELP !!
Which graph shows a constant of proportionality of 2?
Answer:
Im pretty sure its C
Step-by-step explanation:
Hope you get it right! :)
The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C
Constant of proportionalityThe constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.
The formula for calculating slope of a line is expressed as:
Slope = y2-y1/x2-x1
Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:
Slope = 2-6/1-3
Slope = -4/-2
Slope = 2
Hence the graph shows a constant of proportionality of 2 is the Graph C
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9.85 less than the product of 37 and w
Answer:
you did not give wat you wanted us to do so I would say 9.85- (37*w)
please help! click on pic.
Answer:
119
Step-by-step explanation:
62+57
how do you combine like terms
Answer: you add them up
Step-by-step explanation:
Explanation:
Combining like terms is commonly used to solve algebraic expressions. Like terms are those species or variables that are the same in any algebraic representation.
Different mathematical operations can be performed on like species. We can add, divide, multiply, subtract, factorize, etc those terms.
Take for example;
Solve;
5x + 3 = 4x + 6
To solve this simply collect the like terms;
5x and 4x, 3 and 6 are like terms
5x - 4x = 6 - 3
x = 3
This is one way of solving problems by collecting like terms.
A rancher built a cattle fence in the shape of a triangle.
From one corner, the fence will go 200 yards south.
Then, the fence will turn at a right angle and go 120 yards west.
From there, the fence goes straight back to its starting point.
To the nearest yard, how much fencing did the rancher use?
Answer:
it is 480 yards!
Step-by-step explanation:
Answer:
480
Step-by-step explanation: