Answer:A = 1500e^(0.03 * 5) = 1500e^(0.15)
use definition of logarithm
0.15 = ln(A / 1500)
0.15 = ln(A) - ln(1500)
ln(A) = 0.15 + ln(1500) = 0.15 + 7.313220387 = 7.463220387
Step-by-step explanation:
The amount of money Joe would have in his account after 5 years is $1742.75.
Given the following data:
Principal, P = $1500Interest rate, R = 3%Time, T = 5 yearsTo determine the amount of money Joe would have in his account after 5 years.
Mathematically, an interest that is compounded continuously given by the formula:
[tex]A = Pe^{rt}[/tex]
Where:
A is the future valueP is the principal.r is the interest rate.t is the time in years.Substituting the given parameters into the formula, we have;
[tex]A = 1500 \times e^{0.03 \times 5}\\\\A = 8000 \times e^{0.15}\\\\A = 1500 \times 1.1618[/tex]
A = $1742.75
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Shawn wants to make the perimeter of the fence in his backyard 2.5 times the size it currently is. What scale factor should he use to dilate the dimensions of the fence? a. Scale factor of 2.5 b. Scale factor of 5 c. Scale factor of 6.25 d. Scale factor of 3
Answer:
a scale factor of 2.5
Step-by-step explanation:
if this was area, you would square. Therfore if it is only perimeter so you only have to multiply by the same number
can someone help fast
Lillian has a defined benefit plan that promises an annual retirement benefit based on 2% of her final 3-year average annual salary for each year of service. At retirement, Lillian has 15 years of service and had an average salary of $80,000 over the last 3 years. What is the amount of her annual benefit?
Answer:
the amount of her annual benefit is $24,000
Step-by-step explanation:
The computation of the amount of her annual benefit is as follows:
= Given percentage × average salary × number of years of service
= 2% × $80,000 × 15 years
= $24,000
Hence, the amount of her annual benefit is $24,000
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Based on the information given the amount of her annual benefit is $24,000.
Using this formula
Annual benefit= Annual retirement benefit percentage × Average salary × Years of service
Where:
Annual retirement benefit percentage=2% or 0.02
Average salary=$80,000
Years of service=15 years
Let plug in the formula
Annual benefit= 0.02 × $80,000 × 15 years
Annual benefit=$24,000
Inconclusion the amount of her annual benefit is $24,000.
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At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?
Answer:
- 1625
Step-by-step explanation:
420 times 4 = 1680
1624 - 1680 = -56
-56 - 600 - 1000 = -1625
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4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
The equation Y equals 15 X +30 can be used to model the earnings of a part time employees at a local department store where X represents the number of hours worked and Y represents the total earnings is the equation to determine the hourly rate of a part time employee
As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km
Answer:
104.607 Kilometers
Step-by-step explanation:
How many teaspoons of chili powder
would there be if there were 20
teaspoons of cumin?
Answer:
there would be 20 tsp of chillie powder for 5 tsp of cumin
Step-by-step explanation:
4 tsps of chilliw per 1 tsp for cumin
IM SO CONFUSED!! Plz Help, I will mark brainliest to whoever completes the table correctly!!
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6
Answer:
f(2) = 15.5
f(3) = 18
f(4) = 20.5
f(5) = 23
f(6) = 25.5
g(2) = 64
g(3) = 96
g(4) = 128
g(5) = 160
g(6) = 192
Step-by-step explanation:
plug it all in to the equations
Answer:
i took the test and heres what i got
Step-by-step explanation:
Write and solve an equation to find the number:
The perimeter of a rectangle patio is 64 feet. The length is 10 feet longer than the width.
What is the width of the patio (no units needed)
Answer:
11=w
Step-by-step explanation:
l = 10+ w
w = w
64= 2(10+w) + 2(w)
64= 20+2w +2w
64=20+4w
44=4w
11=w
Can you solve it?
find h. (system of equations)
1)Tyrone is scuba diving in the ocean and is currently at a depth of 47 feet below sea level.
2)Enter the integer that represents Tyrone's current depth.
Answer:
-47 Feet
Step-by-step explanation:
He is 47 feet below sea level, so he would be at -47 feet. If you are asking how deep he is, then it would be just positive 47 feet.
Richie's gym is charging a one-time fee of $55 to join an additional 15 per month what is the cost after 6 months
A.$60 for 6 months
B.$145 for 6 months
C.$825 for 6 months
D.$165 for 6 months
What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?
Answer:
y=-4/3x-3
Step-by-step explanation:
The equation of the line that passes through the given point will be equal to (-4/3)x - 3.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
The given equation is,
4x + 3y = 15
And the point is (-3, 1)
3y = 15 - 4x
y = (-4/3)x + 15
The line has a slope, of -4/3.
Then, use the equation,
B = y - mx
B = 1 - (-4/3 × 3)
B = -3
So,
y = (-4/3)x - 3
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Use the equation to answer the question.
125 = 25 x 5
Which statement does the equation represent?
O A. 25 is 5 more than 125
B. 25 is 5 times as many as 125
C. 125 is 25 more than 5
D. 125 is 25 times as many as 5
Answer:
its either A/B
Step-by-step explanation:
5(2x + 7) -3x = 7(x+5) one solution, infinitely many, or no solutions?
help I'm on a timed math test this is my last one I have already tried doing it
Answer:
Infinite
Step-by-step explanation:
The answer will be 0=0 and that's mean the answers will be infinite
Tyrone's plumbing company charges $40 for a service call and $25 per hour.
Ezekiel's plumbing company charges $65 for a service call and $15 per hour.
Which equation can be used to find x, the number of hours it will take for both
plumbing company's cost to be the same.
O A. 25 + 40x - 15 + 65x
O B. 25x + 40 - 15 + 65x
O C. 25x +40 - 15x + 65
O D. 25 + 40x - 15x + 65
Answer:
C
Step-by-step explanation:
it is the only one with the variable in the spot of the per an hour which is what the equation is supposed to represent
If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other.
Your Answer:
yes they will do that.
help plzzzzzzzzzzzzzz
Answer:
A (SSS)
Step-by-step explanation:
The triangles are congruent by postulate side side side
Solve the following equation for the
variable f. f/4 = 6.
f = 10
f = 24
f = -2
f = 2
Answer:
F=24
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
4 x f/4 = 4 x 6
So f=24
Answer:
hi
Step-by-step explanation:
how many boys perfer the ferris wheel?
Answer:
10 Boys
Step-by-step explanation:
10 boys prefer the Ferris wheel because the total amount of boys is 35, but 23 of those 35 boys prefers the Super Slide, meaning what's left is who prefers the Ferris wheel since there are only 2 options for them to choose from.
35 boys - 23 boys (who like the Super Slide) = 10 boys (the remainder who likes the Ferris wheel).
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
An internal angle of a regular polygon is 160 degrees, how many sides does it have
If PQRS is a parallelogram, what is the length of RS?
Answer:
Your answer would be 35
Step-by-step explanation:
Because if you look at PQ it is lined up with RS and you will get you answer by just looking at PQ.
____________________________________________________________
HOPE THIS HELPS!!!!!
Answer: 35
the green checkmark appeared after clicking on it
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets? (5 points) Question 2 options: 1) 9.5c + a 2) 9.5(c + a) 3) c + 9.5a 4) 19(c + a)
Answer:
2
Step-by-step explanation:
because whether a child or an adult buys the ticket it is still $9.50
Answer:
B.
Step-by-step explanation:
Find the degree of the polynomial below. -7x
Answer:
1
Step-by-step explanation:
The degree is 1.
How do you write 80% as a decimal?
Answer:
0.8
Step-by-step explanation:
Find the value of this expression if x= -2 and y=3. x^2y/5
Determine if the function is even, odd, or neither.
Answer:
Even
Step-by-step explanation:
I think that it's even because the graph is reapeted, if it's odd, it's going to be like x^3
try it on desmos
please help please please help
It should be 3/16 sense there is 16 balls in total in Team A's basket.
help pls!! i will give brainliest
Answer:
It is linear because there's a constant change in both x and y
Step-by-step explanation:
There is a constant change in x: +3
There is a constant change in y: -2
Therefore, the slope is -3/2, making the function linear.