Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
Given that the interest is compounded 6 times each year, therefore, the value of n = 6.now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
[tex]A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}[/tex]
[tex]\:A=2500\left(1+\frac{0.05}{6}\right)^{48}[/tex]
[tex]A=2500\times 1.48935[/tex] ∵ [tex]\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935[/tex]
[tex]A=\:3723.38[/tex] $
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13
joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?
What is the sum? Question 1 of 60
Answer:
A
Step-by-step explanation:
2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5
Answer:
2 1/8 + 3 7/8 = 6
A. 6
Step-by-step explanation:
2 + 3 = 5
1/8 + 7/8 = 8/8
8/8 = 1 whole
5 + 1 = 6
HOPE THIS HELPS!!!!!
Please Answer and Explain Thanks
The equation y+4x=100 represents your distance y (in meters) from the
finish line x seconds after you begin your leg of a relay race. The equation
y+3.8x=96 represents your opponent’s distance from the finish line.
How far do you need to run until you catch up to your opponent?
Write the vertex form of the quadratic equation.
y=x – 6x + 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
y= (x-3)^2 -4
Step-by-step explanation:
7/10 - ___ + 3/2 = 6/5 ??????
Help me please
Answer:
1
Step-by-step explanation:
make all fraction have the same denominator:
7/10 - x + 15/10 = 12/10
isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10
divide by 1 x = 10/10 or 1
x = 1
Answer:
1
Step-by-step explanation:
Let the no. be x
7/10-x+3/2=6/5
-x=6/5-3/2-7/10
-x=-10/10
-x=-1
x=1
Hope it helps
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
find the value of X
Answer:
x = 50.6 cm
Step-by-step explanation:
ΔMAB ≈ ΔNMP
set up a proportion: MA / MN = MB / MP
MA = 46.2 - 14
MA = 32.2
32.2 / 46.2 = x / 72.6
cross-multiply:
46.2x = 2337.72
x = 50.6
anyone knows this?!!?
Answer:
is that just 1/2 lol i think but if u want add me on disc Andreww#6506
Step-by-step explanation:
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.
Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.
0.2
0.5
0.05
0.15
Answer:
B. 0.5
Step-by-step explanation:
There are 10 circles in total. 5 are shaded in.
We would make that a fraction.
5/10
Then we would convert it to a percent
50%
Then we will convert it to a decimal
0.5
Therefore, your answer would be B. 0.5
What part of an hour elapses from 3:12 PM to 5:30 PM?
Answer:
3:18
Step-by-step explanation:
From 3:12 PM to 5:12 PM it's 3 hours.
From 5:12 PM to 5:30 PM it's 18 minutes.
Total elapsed time: 3:18
I don't know why the question asks "what part of an hour" when the answer is more than 3 hours.
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
What are the solutions of the quadratic equation below?
x²-4x-6=0
Answer: x=2±√10 or x=5.16227766
Step-by-step explanation:
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
which number is greater tha 9/4
Answer:
9
Step-by-step explanation:
the biggest number gets eaten by the alligator
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).
Answer:
y = 9
Step-by-step explanation:
The line x = -7 is a vertical line, so the perpendicular line will be horizontal.
Horizontal lines have a slope of 0.
Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation
y = mx + b
9 = 0(4) + b
9 = b
Plug this and the slope into the equation:
y = mx + b
y = 0x + b
y = 9
So, y = 9 is the equation
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters
Please help me find the values of z and x!
Answer:
The answer would be 299
Step-by-step explanation: Just plug in 74 into x
Why does the sin 0 = cos (90 - 0)?
Answer:
It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.
(Hope this helps! Btw, I am the first to answer. Brainliest pls!)
Please help with 3 thank you!
Answer:
Step-by-step explanation:
The value of C has to be Greater than 0.65
Answer:
1.3
Step-by-step explanation:
1. .65 = .5c ---> .65/.5
2. 1.3 = c
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi
diameter = 3 ft
A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft
Circumference = Pi x diameter
Circumference = 3.14 x 3 feet
Circumference = 9.42 feet.
The answer is B. 9.42 feet
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
9514 1404 393
Answer:
23.37 cm
Step-by-step explanation:
1 inch is 2.54 cm, so 9.2 inches is ...
(9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
What is X?
in decimal form plz