A person places $7420 in an investment account earning an annual rate of 5.9%, 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 20 years.
Answer:
$24147.50Step-by-step explanation:
Step one:
given
principal=$7420
rate = 5.9%= 0.059
time = 20years
Step two:
Required
Final amount V
using the relation
[tex]V = Pe^{rt}[/tex]
Substituting we have
[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]
To the nearest cent
= $24147.50
The amount of money in the account after 20 years is $24147.50
please an someone help me 5(−3.4k−7)+(3k+21)
Answer:
4
Step-by-step explanation:
Answer:
4.5k
Step-by-step explanation:
h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles
Answer:
What’s the question?
Step-by-step explanation:
What is X-y=-1 written in y=mx+b form?
Answer:
y = x + 1
Step-by-step explanation:
find the slope of the graph given below
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
PLEASE HELP ASAP Light takes about 4.2 years to reach Earth from Proxima Centauri, which is the closest star to Earth other than the Sun. How many days does it take the light to travel that distance?
Answer:
1,533 days.
Step-by-step explanation:
4.2 times 360. give me brain
If A= 1, Be= 7, then ADD=?
Answer:
D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D
Help me with this please
how to divide 2432.5 by ten
Answer: 243.25.
Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.
an item is regularly priced at $95. it is on sale for 40% off the regular price. what is the sale price?
Answer:
The sale price is $57.
Step-by-step explanation:
Given that the sale is 40% discount so you will have to pay for the remaining 60%. In order to find the sale price, you will have to multiply 60% with the regular price:
[tex] \frac{60}{100} \times 95 = 57[/tex]
The line passing through the points (-2, 10) and (5, -11)
y-intercept = (0, 4)
x-intercept = (3/4, 0)
Step-by-step explanation:1 - Find the slope
[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]
2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.
y = mx + b
y = -3x + b
10 = (-3)(-2) + b
10 = 6 + b
-6 -6
4 = b
y-intercept = (0, 4)
3 - Rewrite the completed formula
y = -3x + 4
4 - Substitute 0 in for y to find the x-intercept
0 = -3x + 4
-4 - 4
-4 = -3x
-4/-3 = -3x/-3
4/3 = x
x-intercept = (4/3, 0)
A murderer is condemned to death. He has to choose between three rooms: the first is full of raging fires; the second, assassins with loaded guns; and the third lions who haven’t eaten in years. Which room is the safest?
first to answer right gets brainliest
PLSS ANSWER FAST
Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only $1.50.
a.) If that same dinner that Barnaby’s grandfather purchased for $1.50 sixty years ago now costs $25.25 , and the price has increased exponentially, write an equation that will give you the costs at different times.
b.)How much would you expect the same dinner to cost in 60 years?
An equation that will give you the costs at different times is y = [tex]1.048^{t}[/tex].
The price of the dinner in 60 years will be $425.04.
What is the equation that represents the cost of the dinner?An exponential function is usually in the form: [tex]ab^{x}[/tex].
Where:
a = initial value b = rate of growth x = number of yearsRate of increase = (cost of the meal now / cost of the meal 60 years ago)^(1 / number of years)
(25.25 / $1.50) ^(1/60) = 4.8%
y = [tex]1.048^{t}[/tex].
What will be the cost of the meal in 60 years?25.25 x 1.048^60 = $425.04
To learn more about exponential functions, please check: https://brainly.com/question/26331578
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please help me out and answer this i need it ASAP <3
Answer:
[tex]y-1=\frac{5}{6}\left(x+8\right)[/tex]
I hope this is good enough:
What is 120/160 in simplest form?
Answer:
3/4
Step-by-step explanation:
divide both 120 nd 160 by 40
Answer:
3/4
Step-by-step explanation:
120/160
12/16
3/4
PLS I NEED HELP ANSWER WILL GIVE BRAINLIEST ANSWER BOTH QUESTIONS ONE AND TWO
ANSWER FAST WILL GIVE BRAINLY. Which equation does NOT represent direct variation? (Make sure to solve for y first!)
F) y = 70x
(G) - 1/2y = x
(H) 4x - 3y = 12
(J) -7x + 14y = 0
Answer: I thinks its F...
Step-by-step explanation:
Jimmy typed a 36-word paragraph in 2/3 minute. What is his typing speed in words per minute?
Answer:
Jimmy's typing speed is 54 words per minute
Step-by-step explanation:
2/3-----?/60
2(20)/3(20)
40/60 is 2/3 of a minute
36/40 =9/10
9(6)/10(6) = 54/60
Answer:
Yay free points
Step-by-step explanation:
Lee is buying a television with an original price of $129.00. The television is on sale for 25% off the original price. How much will the television cost after the discount?
Answer:
$96.75
Step-by-step explanation:
.25 x 129=32.25
129-32.25=96.75
whats 9x8 greer I forgot
Answer:
72
Step-by-step explanation:
You can use the 9s trick
Answer:
9x8=72
Step-by-step explanation:
9x5=45 5
9x3=27 +3=9
27+45=72
PLEASE PLEASE HELP!
The space shuttle travels at an orbital speed of 17,500 miles per hour. How many meters per minute is this?
Answer:
291.666666667
Step-by-step explanation:
one minute is 60 seconds
17500 divided by 60
291.666666667
Find the slope from the table:
Answer: m=-5/3
Step-by-step explanation:
I will mark. so please I WANT AN A+!!!!!
Answer:
-4.5, -3 1/2, -3, -2.5, 4 1/2
Step-by-step explanation:
the higher the numbers as a negative, the smaller they are! :)
Answer:
from least to greatest
Step-by-step explanation:
1. -4.5
2.-3 1/2
3. -3
4.-2.5
5. 4 1/2
HAVE A NICE DAY HOPE U GET A A+
a reason not to end it all (:
Alan bought a desk on sale for $589. This price was 24% less than the original price. What was the original price?
Answer:
448$
Step-by-step explanation:
100-24/100×589$
76/100×$589
divide 76 by 100 and multiple with the price which is 589$
when 76 is divided=0.76
now we multiple 0.76times 589$
1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
What is the slope of this line?
−3
3/4
4
−3/4
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
What is the Reciprocal of 5/12
Answer:
12/5 just flip the numbers :D
Step-by-step explanation:
Help!!! Quiz!! I think that the answer is A and B, but I’m not sure.
13 POINT!!!
Will mark brainliest for correct answer!!!
6x2 + 5x - 4 = 0
A. x= 1/2
B. x= -3/4
C. x= 1/3
D. x= 4
E. x= -2
F. x = -1/3
Answer:
E
Step-by-step explanation:
Hope this helped ;) Have a good day! :D