Answer:
10
Step-by-step explanation:
The value of the account will reach $152,800 in 10 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.
The formula for calculating the final amount when the interest is compounded continuously is,
A = P e^(r t)
Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.
Given that,
A = $152,800
P = $79,000
r = 6.8% = 6.8/100 = 0.068
We have to calculate t.
152,800 = 79,000 e^(0.068 t)
152,800 / 79000 = e^(0.068 t)
1.934 = e^(0.068 t)
Taking logarithms on both sides,
㏑ 1.934 = ㏑ e^(0.068 t)
We have ㏑(a)ⁿ = n ㏑(a)
0.65968 = 0.068t ㏑ e
0.65968 = 0.068 t × 1
t = 9.7 ≈ 10 years
Hence the amount is compounded to $152,800 in 10 years.
To learn more about Compound Interest, click on the link :
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FACTORS (2x 3 ) (4x 1) Given the factors below what is the quadratic equation?
8(12+a) its asking for the distributive property to simplify the expression
Answer:
96+8a
Step-by-step explanation:
8*a=8a
8*12=96
combine them
96+8a
How do i graph y=2x+5 ?
Answer:
y/2
Step-by-step explanation:
Find the value of x.
25
65°
Answer:
The answer is x= 10.6
Step-by-step explanation:
because C and D are both bigger numbers then the side that is given so those are eliminated and you're left with A and B and there is no way it can be B because thats to big of a number so its A
If m∠12 = 123° and m∠6 = 76°, find each measure.
Answer:
the picture is attachedsee the answers in the attachmentChoose all the properties of a square
Answer:
Opposite sides are parallel. All sides are congruent. All angles are congruent. Diagonals bisect each other. Consecutive angles are supplementary. Diagonals are perpendicular and congruent.
Step-by-step explanation:
A square is a special shape in which all angles, sides, and diagonals are congruent to one another. Therefore, all sides and angles are congruent, the diagonals cross in the middle of the square making them perpendicular, the diagonals bisect each other in the middle, and they are supplementary because they are parallel.
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
-9x-8y= 41
-9x-2y=71
Answer:
I think it is add to eliminate x
Answer:
Step-by-step explanation:
4.913 rounded to the nearest tenth
Answer:
4.9
..........................
HELP PLEASE!!
Solve the system of equations below by graphing.
y= x - 3
y=-5/2x + 4
I honestly don’t know how to do this I need help
Answer:
the answer is 90
Step-by-step explanation:
hope it helps
have a nice day ^_^
Answer:
It is 90 degrees.
Step-by-step explanation:
It is one fourth of 360 degrees, which is 90 degrees.
Hope that helps!
What is the area of the figure she created?
Answer:
27 FT
Step-by-step explanation:
Area of square = L × W
= 4.5 ft × 4.5 ft
= 20.25 ft
Area of parallelogram = bh (base times height)
= 1.5 ft × 4.5 ft
= 6.75 ft
Total area = 20.25 ft + 6.75 ft
= 27 ft
HOPE THIS HELPED
Answer this question:What is the difference between 9 < x and 9 = x? Explain.
9 < x
this means that x is a larger number than 9
9 = x
this means that x is equal to 9
What is the total weight, w, of 5 bags of soil?
Answer:200
Step-by-step explanation: I typed this and got it right
There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the whole pie he will eat tomorrow.
Answer:
3/16
Step-by-step explanation:
Let the size of the whole apple be T
Given that 3/4 of the apple is left, it means the size left
= 3T/4
Since Victor plans to eat 1/4 of the pie that was left, this amounts to
1/4 * 3T/4
= 3T/16
This means that Victor will eat 3/16 of the whole pie tomorrow
Anthony bought 4 1/2 pounds of meatballs. He decided to cook 1 1/4 pounds and freeze the rest. How many pounds did he freeze
Answer:
anthony froze 3 1/4 of the meatball
solve а) 3х - 5 = 13
Answer:
6
Step-by-step explanation:
3х - 5 = 13
+5 +5
3x=18
/3 /3
x=6
simplify the expression 3(j+2)-2
Answer: (3j + 6) or 3j + 4
Step-by-step explanation:
You distribute the 3 inside the parentheses and you could subtract the 2
Step-by-step explanation:
I hope this helps. 3j+6-2= 3j+4
area of a square with 1m side is?
Answer:
1 meter
Step-by-step explanation:
Okay so, all sides of a square are equal right? And is one side is 1 meter, then all of the sides are 1 meter. Your multiplying one by itself, making the answer pretty easy to find out.
What’s the perimeter
Answer:64
Step-by-step explanation:
Answer:
64 is the answer :)
Step-by-step explanation:
i hope its correct
Are these figures congruent?
A Yes, they are congruent.
B) No, they are not congruent.
Answer:
A
Step-by-step explanation:
Yes, they are congruent. Sorry I'm new to this kind of stuff. Really sorry if it's wrong!
Write an equation in slope-intercept form for the line with slope 3/5 and y-intercept -9
HOW MANY solutions does this equation have?
d2=0
Everyone will have juice in party and you have 10 liters of a juice blend (mixture of
pure juice and water) that is 60% pure juice.
1. How many liters of pure juice need to be added in order to make a blend that is 75% juice?
2. How many liters of pure juíce need to be added in order to make a blend that is 90% juice?
Answer: you added 6 liters of juice
Step-by-step explanation:
You have 10 liters of a juice blend that is 60% juice. How many liters of pure juice need to be added in order to make a blend that is 75% juice?
Ten liters of a juice blend at 60% juice means you also have ten liters of a juice blend at 40% water. 10 x .40 yields 4 liters of water in your blend.
A juice blend of 75% has a water content of 25%. So the same 4 liters of water must represent 25% of the blend after adding more juice.
4/.25 = 16 liters. 16 x .75 = 12.
12 + 4 = 16.
That means after adding your juice you will have 16 liters of blend at 75% juice.
You originally had 10 liters at 60% and now you have 16 liters at 75% . Subtracting 10 from 16 means you added 6 liters of juice.
please answer the question above, will mark as brainliest answer
Answer:
I think you want to the coordinates of point A
the answer is
(-1,-2)
how are below 0, -10 and -20 related?
PLEASE HELP!!!!
Answer:
It’s a way to show how things are related. It may be a mathematical pattern.
Step-by-step explanation:
please tell me! I have no idea how to do graphs
Answer:
umm idrk
Step-by-step explanation:
STOP!!!!. You have 500 cookies you baked 400 then then give 50 to some else you get 500 how much do you have.......... WILL GIVE BRAINLEST
Answer:
500
Step-by-step explanation:
500-400=100
100-50=50
500
how many pints are in a cup?
Answer:
0.4 Pints
Step-by-step explanation:
GIVING BRAINLIEST FOR BEST ANSWER!!!
In two paragraphs, explain how Vietnam’s political boundaries, affiliations, and alliances changed from the end of World War II to 1975, when the country finally achieved independence. Based on your research, include the causes and effects of foreign aggression on Vietnam during this period.
Answer:
Vietnam got its independence from France on 2 September 1945. during second world war, France becomes weak and cannot control Vietnam so France evacuated from Vietnam completely and Vietnam got its independence. Vietnam's political boundaries meets with China, Indonesia, Cambodia and Thailand.
Step-by-step explanation: