A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
V
=
P
e
r
t
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 4 years.
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
Answer:
5124.83
Step-by-step explanation:
r=5.7\%=0.057
r=5.7%=0.057
Move decimal over two places
P=4080
P=4080
Given as the pricipal
t=4
t=4
Given as the time
V=Pe^{rt}
V=Pe
rt
V=4080e^{0.057( 4)}
V=4080e
0.057(4)
Plug in
V=4080e^{0.228}
V=4080e
0.228
Multiply
V=5124.8281\approx 5124.83
V=5124.8281≈5124.83
If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?
Reminder = f ( 6 )
Thus :
[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]
[tex]f(6) = 1296 - 864 + 1[/tex]
[tex]f(6) = 433[/tex]
Thus ;
[tex]remider = 433[/tex]
Can anyone help me on this one??
Find the slope and the y-intercept of the equation below:
1. 4x-3y=12
2. 2y=6x-12
if you can put the step please do so. Tysm.
Answer + Explanation:
1. you want to rearrange the equation ( don't change the actual value ) to put it in the form y = mx + b. in this form, m represents the slope and b represents the y-intercept.
this is how you would do that:
4x - 3y = 12
subtract 4x from both sides
-3y = -4x + 12
divide both sides by -3
y = 4/3x - 4
this means the slope is 4/3 and the y-intercept is -4
2. do the same thing, rearranging into y = mx + b form
2y = 6x - 12
divide both sides by 2
y = 3x - 6
this means the slope is 3 and the y-intercept is -6
What is 0.02349 written in standard form to 3 significant figures
Answer: The answer is (B)
Explanation: The answer is (B) because, there are 2 zeros so that means that there would have to be a 2 behind the 10 and then there is 2,3,4,and 9. We take out the 9 and use the other numbers, bring over the decimal and now you have [tex]2.34 x 10^{2}[/tex] .
Let's cancel out from left to right
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
I need help with this to
Answer:
-7 , 9
1, -3
5, -9
Step-by-step explanation:
Answer:
The answer is
-7 , 9, 1, -3, 5, -9
Hope this helps;)
Pairs of markings a set distance apart are made on highways so that police can
detect drivers exceeding the speed limit. Over a fixed distance, the speed R
varies inversely with the time T. In one particular pair of markings, R is 59 mph
when T is 4 seconds. Find the speed of a car that travels the given distance in 5
seconds.
Please answer!!!
R = k(1/T) = k/T
when R = 60, T = 8
60 = k/8
k = 480
R = 480/T
so when T = 6
R = 480/6 = 80 mph
A school sells T-shirts to promote school spirit. The school's profit is given by the function P(x) = 8x - 150, where * is the number of T-shirts sold.
During the play-offs, the school increases the price of the T-shirts. The school's profit during the play-offs is given by the
function Q(x) = 16x - 200, where x is the number of T-shirts sold.
Describe the transformation using the words slope and y-intercept from the graph of P to the graph of Q.
Answer:
Step-by-step explanation:
Omar saved the same amount of
money each week for 4 weeks. He
wrote the equation below to show
how much he saved. In the equation,
Sis the total amount of money
saved, in dollars, and wis the
number of weeks.
S = 2.5w
Answer:
Omar saved 10 dollars in total
Step-by-step explanation:
total= 2.5*4
total= $10
Six less than a number is twenty
Answer:
the start numbew woould be 26
Step-by-step explanation:
6 less than 26 is 20
Answer:
n=26
Step-by-step explanation:
Convert:
a) 5810 to base 2
b) 101112 to base 10
Step by step would be awesome
I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.
Write 58 as the sum of the largest powers of 2 that you can:
58 = 32 + 26
58 = 32 + 16 + 10
58 = 32 + 16 + 8 + 2
58 = 2⁵ + 2⁴ + 2³ + 2¹
58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰
⇒ 58₁₀ = 111010₂
To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.
10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰
10111₂ = 16 + 0 + 4 + 2 + 1
⇒ 10111₂ = 23₁₀
#a
[tex]\\ \sf\Rrightarrow (58)_{10}[/tex]
[tex]\\ \sf\Rrightarrow (2+8+16+32)_{10}[/tex]
[tex]\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}[/tex]
[tex]\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)[/tex]
[tex]\\ \sf\Rrightarrow (111010)_2[/tex]
#b
[tex]\\ \sf\Rrightarrow (10111)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+2+4+16[/tex]
[tex]\\ \sf\Rrightarrow (23)_{10}[/tex]
please someone help me quickkkkk
Answer: B
Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.
The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.
HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.
Now, let's insert our values into the equation y = mx + b. That would be:
y = -2x + 3 which is B and therefore our answer
is it a. b. c. or d.
I may be wrong, but im pretty sure its C
Answer:
I might be wrong but I think it is B. or A.
Step-by-step explanation:
What is the value of |-7| - |3|
Answer:
4 is the correct answer
Step-by-step explanation:
|-7| = 7
|3| = 3
7 - 3 = 4
1)Kamala’s mother gave her a 100 Rupee note .Kamala bought a pen for Rs.68.50.How much money will be left with her?
Answer:
100- 68.50 = 31. 50 rupees
Step-by-step explanation:
that is 31 rupees and 50 paise
Use the graph below to answer the question.
The statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
How to Find Rate of ChangeRate of change (slope) = change in y / change in x = rise/runRate of change for horizontal line/graph are always zero.To determine which statements are true, find the rate of change of each segment in the graph.
Rate of change for Segment R:
Segment R is horizontal, therefore the rate of change = 0.
Rate of change for Segment S:
Rate of change = rise/run = 7/2 = 3½.
Rate of change for Segment T:
Rate of change = rise/run = 8/-8 = -1.
Rate of change for Segment U:
Rate of change = rise/run = 5/3 = 2⅔.
The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).
Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).
Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).
Option 4 is false. Rate of change for segment U is rather 2⅔.
Option 5 is also not true. Segment R has a rate of change of 0.
Therefore, the statements that are true are:
a. The rate of change of segment T is decreasing
b. Difference between the rate of change of segments S and R is 3½
Learn more about rate of change on:
https://brainly.com/question/8728504
Given that D(x) = 2x, select all of the following that are true statements.
D( x) is a direct variation.
O D( x) is a function.
D( X) is a rule for the set of points (5, 10), (6, 12) and (-2,-4).
O xls the dependent variable.
D(6) = 3
Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.
A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above
Answer: 2
Step-by-step explanation:
distribute: 6 [ 9 − 9 + 8 ] + 3 = 0
add the numbers: 6 [ 1 7 − 9 ] + 3 = 0
rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0
distribute again: − 5 4 + 1 0 2 + 3 = 0
combine like terms: − 5 4 + 1 0 2 + 3 = 0
Subtract 102 from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2
simplify:− 5 1 = − 1 0 2
Divide both sides of the equation by the same term: -51x/-51 = -102/-51
simplify: 2
i hope this helps! ^^
Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit
Answer:
-6
Step-by-step explanation:
10x1 + 4y = -14
10+4y=-14
4y=-14-10
4y = -24
y = -24/4
y = -6
what's 0.084507042 rounded
Answer:
i belive by rounding you get 1
Step-by-step explanation:
Q.
[tex] \frac{9}{6} + \frac{6}{9} = [/tex]
#use method
#good luck
Answer:
The answer is 13/6
Step-by-step explanation:
9/6 + 6/9
9/6 = 3/2
6/9 = 2/3
Now,
3/2 + 2/3
Cross Multiply
3 × 3 + 2 × 2/2 × 3
9 + 4/6 = 13/6
Thus, The answer is 13/6
-TheUnknownScientist 72
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
[tex] = \frac{9}{6} + \frac{6}{9} \\ = \frac{27 + 12}{18} \\ = \frac{39}{18} \\ = \frac{13}{6} [/tex]
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Its 27
Step-by-step explanation:
143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the
number?
Answer:
-71
Step-by-step explanation:
let 'n' = a number
2(143 + 2n) = 0n + 2
2(143 + 2n) = 2
143 + 2n = 1
2n = -142
n = -71
what is number of terms for 32y- 28
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Prove how they are congruent. Geometry:SSS
[tex]\huge \bf༆ Answer ༄[/tex]
For the given triangles to be congruent by SSS criterion, the sides HJ and LN should be equal ~
therefore correct choice is ~ C
[tex] \large \boxed{ \sf \: HJ \cong LN}[/tex]
The additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
Recall:
Based on the Side-Side-Side Congruence Theorem, (SSS), two triangles can be said to be congruent to each other if they have three pairs of congruent sides.Thus, in the two triangles given, the two triangles has:
Two pairs of congruent sides - HI ≅ ML and IJ ≅ MNTherefore, an additional information needed to prove that both triangles are congruent by the SSS Congruence Theorem would be: C. HJ ≅ LN
Learn more about SSS Congruence Theorem on:
https://brainly.com/question/4280133
A national survey of middle schoolers ask,”how many hours a day they spend doing their homework?which statement best represents the population?
Answer:
5 hours at least, 10 at most
Step-by-step explanation:
Trent purchases 44 euros worth is souvenirs while on vacation in France. If $1 U.S. = 0.678 euros, find the cost of souvenirs in United States dollars.
Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?
Answer:
14
Step-by-step explanation:
5x - 8y = 20
what are x and y? :)
Answer:
x could be 10
y could be 5
those are some possible answers.
Answer:
x=4 and y=0
(4,0)
hope I help or maybe correct
hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment
36.)B
37.)C
38.)C
39.)C
40.)A
hoped that helped :)
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
10
Step-by-step explanation:
Equation=5*2^3/2^2