Step-by-step explanation:
step 1. let's call the amount of money A, the initial amount A¡, the rate r, and the time t.
step 2. A = A¡e^(rt) (continuously compounding equation)
step 3. A = 125000e^((.0475)(15))
step 4. A = $254,885.32
The value of the account after 15 years will be $254885.
In theory, continuously compounded interest means that an account balance is constantly earning interest and reinvesting that interest so that it, too, earns interest.p explanation.
In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor.
Given that you invest $125,000 in an account that earns 4.75% annually for 15 years of the time.
The compound interest will be calculated as:-
[tex]P(t) = P_o\times e^{rt}\\P(t) = 1250000\times e^{0.0475\times 15}[/tex]
P(t) = $254885
Hence, the value of the account after 15 years will be $254885.
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if e=2, f=3, and g=4, then 5egg equals
Answer:
5efg equals 120
Step-by-step explanation:
2 * 3 * 4 * 5 = 6 * 4 * 5 = 30 * 4 = 120.
Solve:
-4 + x = 6
A)-24
B)-10
C)-2
D)10
Answer:
x = 10 so D
Step-by-step explanation:
-4 + x = 6
add 4 both sides to get the x by itself
so 4 + 6 = 10
then the final answer is x = 10
Answer:
You have a negative 4 being added to the variable. To solve you need to use the opposite operation (what is the opposite of addition?)
For example:
7 = -3 + h
Subtraction -3 from each side.
7 -(-3) = -3- (-3) + h
10 = h
Step-by-step explanation:
(x/4) < -1.5 why not pls answer
Answer:
x < -6
Step-by-step explanation:
What is the slope of y =4x -3
HELPPP PlEASE !!!
Which equation best represents the function graphed above?
can someone help please?
Answer:
a. 90 degrees (given)
b. 270 degrees (360-90)
c. 16π (Circumference= diameter * π, diameter= 2r= 2(8)=16, so c= 16*π)
d. 4π (That section is a semicircle, so length should be 1/4 the circumference)
e. 12π (This section is 3/4 the circumference)
f. 64π (Area= πr^2, and r^2= 8^2= 64, so 64π)
g. 16π (That section is 1/4 the area)
Find the missing value pls help need an answer ASAP
Answer:
-7
Step-by-step explanation:
-7 + 5 = -2
Can u mark me brainly pleasee???
Answer:
-7
Step-by-step explanation:
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Which one of these is x please help
Answer:
1/2
Step-by-step explanation:
A B C D Which triangles are similar?
Answer:
DBA ok you got that maybe
I'll give brainlliest to whoever anwsers
Answer:
Step-by-step explanation:
booom
12x - 2/3 = 83 1/3
12x=?
x=?
Answer:
12x = 84
x = 7
Step-by-step explanation:
12x = 83 1/3 + 2/3
12x = 84
x = 84/12
x = 7
Hope that helps!
What set of ratio below is not equivalent to 3:4
Answer:
6
8
,
9
12
,
12
16
Step-by-step explanation:
What's an example from history where two nations fought over territory they believed was rightfully theirs?
Answer:
Native Americans and the British.
Step-by-step explanation:
The Native Americans were in North America first but the British/English thought they deserved the land and the two fought over it.
- 9b = - 45
i need help asap pls
Answer:
b=5
Step-by-step explanation:
Answer:
b=5
Step-by-step explanation:
Not copying....
have a nice day
everyone if you can help that would be great
Answer:
the answer is 2.87
Step-by-step explanation:
use the pythagorean theorem
2^2+b^2=4^2
that goes to b= 3.5
for the triangle with x you also need to use the pythagorean theorem
[tex]2^{2}[/tex]+[tex]x^{2}[/tex]=[tex]3.5^{2}[/tex]
4+[tex]x^{2}[/tex]=12.25
subtract 4 on both sides
[tex]x^{2}[/tex]=8.25
[tex]\sqrt{x}[/tex]=[tex]\sqrt{8.25}[/tex]
x=2.87
please help
step by step
Answer:
The answer is 1/6
Step-by-step explanation:
3/8 x 4/9 = top times top and bottom times bottom
12/72 = 1/6
Answer:
1/6
Step-by-step explanation:
3x4=12
8x9=72
12 divided by 6 equals 2
72 divided by 6 equals 12
2 divided by 2 equals 1
12 divided by 2 equals 6
Final simplififed answer is 1/6.
Hope this helps you out.
_______divisible by both 2 and 5
Step-by-step explanation:
____2__divisible by both 2 and 5
Rewrite 64^18z^12 as a power of a product.
The expression is written as 2⁶w¹⁸z¹².
What is Exponential Function?The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given equation
64w¹⁸z¹²
so factors of 64 = 2 x2 x 2 x2 x 2 x2
64 = 2⁶
the equation is 2⁶w¹⁸z¹²
Hence the value of equation is 2⁶w¹⁸z¹².
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What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2
Step-by-step explanation:
What is the total magnification if we using objective lens 4x and our eyepiece (ocular) lens is 10x
40x
100x
400x
1000x
Answer:
Simplify: (4x2 - 2x) - (-5x2 - 8x).
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Step-by-step explanation:
Hope it help
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Sam bought a football jersey on sale for 40% off. He paid $30, and it was originally priced at $45 was he charged the correct amount
Answer:
No, because he is being charged more than what the discount is.
45/40=18 $18 $45-$18=$27 He should be charged $27.
Maste
1) 2,000 pounds of sand is to be put into 100-pound bags. Each bag will sell
for $5.00. How much is the sand worth altogether?
Answer: 100$
Step-by-step explanation:
What is the range of the relation in the table below ???
Answer:
range : {0, 2, 4}
Step-by-step explanation:
write down the same range once.
A trainer uses 0.75 roll of medical tape on each soccer player. If there are 15 players on the team and 80% get taped up, how many rolls of tape does the trainer need
Answer:
The answer is 9 rolls.
Step-by-step explanation:
you do 80% of 15. Then you have the number of players that got taped. Now you multiply 0.75 by 12 players.
Please mark me brainliest,5stars, and a thanks! Have a good day!
please hgelp me my mom
Answer:
D
Step-by-step explanation:
Evaluate the expression. 5y+x/z
Answer:
5yz+x/z
Step-by-step explanation:
HELP PLZ!
proerties of Transformations
In the pre-image of the parallelogram, the slope of AD is
--3 and the slope of BC is -3. The image is translated
down 7 units and then reflected over the y-axis,
The slope of A"D" is
The slope of B"C"is
What can you determine about the line segments A"D"
and B"C"?
A"
D"
Answer:
1... 3
2...3
3...parallel
Step-by-step explanation:
1. Find 10% of 20 1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
1. Find 10% of 12.
Answer:
10% of 12 = 0.1 * 12 = 1.2
10% of 20 = 0.1 * 20 = 2
help anyone I don’t understand
Answer:
D. 71
Step-by-step explanation:
Plug 7 into f
(7)^2 + 2(7) + 8
then solve
49 + 14 + 8
71
A closed rectangular tank measures 5 meters by 10 meters by 6 meters. What is the surface area of the tank?
Answer:
280 square units
Step-by-step explanation:
Using the given dimensions {5, 6, 10}, find the area of the front, top and end of the box: 5*6 + 5*10 + 6*10 = 140 square units.
The back of the box is the same size and shape as the front, the bottom the same as the top, and the other end the same as the first end. Thus, multiply 140 square units by 2 to get the total surface area of the tank:
It is 280 square units.
The Martin family has three children. One is in elementary school, one is in middle school, and one is in high school. They are moving and would like to
live at a location that is the same distance from each of the three schools. They have mapped the schools in a coordinate plane. Determine the
coordinates of the best location that will be equidistant from all three schools.
Answer:
Answer is 1/2,-1 1/2
Step-by-step explanation:
The coordinates of the best location that will be equidistant from all three schools is; (-0.085, -2.232).
What is circumcenter of a triangle?The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter.
The coordinates of the 3 points that form a triangle attached in the image are;
A(-4, -2), B(0, 3), C(5, -1)
Since the distances to the circumcenter O from the vertices are all equal.
Then; AO = BO = CO.
From the first equality, we have AO² = BO²
(x + 4)² + (y + 2)² = (x - 0)² + (y - 3)²
⇒ 8x + 16 + 4y + 16 = – 6y + 9
⇒ 8x + 10y = -23 ---(1)
Similarly, from the second equality, we have BO² = CO²
(x - 0)² + (y - 3)² = (x - 5)² + (y + 1)²
⇒ – 6y + 9 = -10x + 25 + 2y + 1
⇒ 10x - 8y = 17 ----(2)
Solving eq 1 and 2 simultaneously gives;
x = -0.085
y = -2.232
Therefore, the coordinates of the best location that will be equidistant from all three schools is; (-0.085, -2.232).
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