The account has a $10.720.77 balance after 6 years.
Find the compound interest?Compound interest can be calculated by using the formula P(1 + r)t, where P stands for principal (the original sum), r for rate (the interest rate), and t for time (in years).
Let's first round up the percentage rate to the nearest whole number by adding 1. In decimal form, 5% is 0.05. 1 + 0.05 is 1.05.
We'll raise that decimal to the power of six now that we're trying to find the amount after six years. 1.05^5 is 1.34009564062. Do not remove this long decimal from your calculator despite its length.
It must be multiplied by the primary, which is equal to 8,000. When the numbers are added together, the result, rounded to the nearest hundredth, is 10,720.765125, or 10,720.77. There.
The account has a $10.720.77 balance after 6 years.
The complete question is,
Following the specified time, determine the balance in each account. After six years, $8000 in principal has earned 5% yearly compound interest.
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multiples that are shared by two or more numbers called
Answer: Common Multiples
Step-by-step explanation:
Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
Only 4 people will be chosen at random. What is the probability that Ashley, Bob, Claire, and Daniel will be
chosen? (Lesson 19.3) (1 point)
Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So
[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]
Total outcomes:
4 students from a set of 13(number of students in the lottery). So
[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
PLEASE HELP (25 point!!)
On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
(graph shown below)
A. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
and I on a coordinate plane. Use complete sentences to describe the strategy.
B. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your
final answer, include all of your calculations.
C. Use the distance formula and the coordinates of points and I to prove that the Pythagorean theorem is an
alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of
your calculations
Answer :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
find the height of a parallelogram with a base 24 inches and the area of 432 square inches
Answer:
the height of the parallelogram would be 18 inches.
8. what is the volume of these 5 objects
Answer:
1) B
Step-by-step explanation:
To get the volume of a cube, you multiply the length, width and height together. 4 x 7 x 8 = 224. 8 × 5 × 6 = 240. This means that chocolate box B has the larger volume.
16 divided by 25 as a decimal
Answer:
The answer of the question is 0.64
Answer:
0.64 is a decimal and 64/100 or 64% is the percentage for 16/25.
Step-by-step explanation:
It will take you to how you do it scan on phone
help. everything is in the picture.
the picture is completely blank
Find the area of the trapezoid with bases 5cm and 2cm and height 1/5 cm.
(Simplify your answer)
Answer:
1
Step-by-step explanation:
[tex]\frac{(5 + 2) * \frac{1}{5} }{2}[/tex] = [tex]\frac{\frac{7}{5}}{2}[/tex] = [tex]\frac{1.4}{2}[/tex] = 0.7, rounded to the nearest ones is 1.
Answer:
0.7
Step-by-step explanation:
The formula for the area of a trapezoid is (A+B)÷2×H
So our formula is (5+2)÷2×1/5
1.
5+2=7
2.
7÷2=3.5
3.
3.5×1/5=0.7
That's why the answer is 0.7
Gwen read the first 15 pages of a book in a bookstore and decided to buy it. Since she bought it, she has been reading 30 pages per day. For which of these functions does y represent the total number of pages Gwen has read if x represents the number of days since she bought the book?
A. x = 15y + 30
b. x = 30y + 15
c. y = 15x +30
d. y = 30x +15
the answer is d. y=30x+15
solve the two step equation and identify the steps
2= - 7/4 + 1/4 x
Answer:
What you need to do is to solve. 2 = -7/4 + 1/4 x
You can try to have same denominator in all numbers to be able to multiply the right and left side by it and remove it
We can write it like this:
8/4 = -7/4 + 1/4 x
We multiply by four the two sides and get
8 = -7 + x
We can sum 7 to both sides
8 + 7 = x
x= 15
We can replace to see if it's correct
-7/4 + 1/4 * 15 = -7/4 + 15/4 = 8/4
Determine m ASAP please help!!
Answer:
m=52
Step-by-step explanation:
ABC and FBE are congruent and we know that ABC is 52
90-38=52
so FBE is also 52
Hope this helps ^-^
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS
One fifth of the sum of 3 and a number
Answer:
1/5(x+3)
Step-by-step explanation:
That is, assuming the number=x
1
4 adult elephants weigh
6
tons. How much does just one of the elephants weigh?
Answer: 86
Step-by-step explanation:
14 times 6 = 86
Can someone help me with this please?
Answer:
THE SECOND BULLET
Step-by-step explanation:
Answer:
3n and n
Step-by-step explanation:
like terms are similar terms
Which number can be placed in the box to make the number sentence true
7
7
Х
5
Л
5
multiplying a fraction less than I will make the product less than the other factor
3
6
multiplying a fraction byt will make the product larger than the other factor
3
-multiplying a fraction greater than I will make the product less than the other factor
15-multipying a fraction greater than 1 will make the product less than the other factor
A table is 2 feet wide. It is 6 times as long as it is wide.
Answer:
The table is 12 feet in length
Step-by-step explanation:
2 * 6 = 12
12 feet in length
The area of a rectangle is given as:
Area = Length x width
The perimeter of a rectangle is given as:
Perimeter = 2 (length + width)
The area of the table is 24 square feet.
The perimeter of the table is 28 feet.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The perimeter of a rectangle is given as:
Perimeter = 2 (length + width)
We have,
Table:
Width = 2 feet
Length = 6 x 2 feet = 12 feet
We will assume that the table is a rectangle.
The area of the table:
= Length x width
= 12 x 2
= 24 square feet.
The perimeter of the table:
= 2 (length + width)
= 2 (12 + 2)
= 2 x 14
= 28 feet
Thus,
The area of the table is 24 square feet.
The perimeter of the table is 28 feet.
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For what value does (1/9)^a+1=81^a+1 12^2-a?
Answer:
a = -4
Step-by-step explanation:
[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]
[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]
[tex] -2a - 2 = a + 10 [/tex]
[tex] -3a = 12 [/tex]
[tex] a = -4 [/tex]
There are four primary strategies for determining the area of two-dimensional figures and shapes: a) counting square units, b) subdividing the shape into pieces, finding the areas of the pieces and adding the areas together, c) enclosing the shape in a rectangle, finding the area outside of the shape but inside the rectangle and subtracting, and d) using a formula. Explain each strategy. Use an example for each.
Answer:
Given below
Step-by-step explanation:
a) if we look at the picture then we can find by counting the square units. In each box there are 3.5 square units along the breadth. There are 3 square units along the length . Counting these gives (3*3.5= 10.5 ) 10.5 square units for each box. Adding the 10.5 +10.5+10.5+10.5 = 42 square units gives the area of the inner rectangle.
b) There are 4 boxes and the total area of the these boxes will be 4*10.5= 42 square units.
Area of 1 box = 3*3.5= 10.5
c) The area of the outer rectangle = 8*12= 96 square units.
The area between the two rectangles along the breadth = 3*7= 21 of one side.
The area between the two sides along the length = 6*1= 6 square units.
Subtracting 21+21+6+6= 54 from 96 gives 42 square units
d) Area= length *breadth
= 6* 7= 42 square units.
Hence by all four methods the total area remains the same.
Write the measure 29° 6'6" as a decimal to the nearest thousandth.
a. 29.1020
C. 29.485
b. 27.5949
d. 27.682°
Please select the best answer from the choices provided
Answer:
A. 29.1020
Step-by-step explanation:
Rewrite it:
29°6'6"
29° + 6(1/60)° + 6(1/3600)°
Simplify:
29° + 0.1° + 0.002°
= 29.102
So, the correct answer is A, 29.1020
How are you today?
Take some time to reflect on your day!
Have a great day!
Answer:
I am good!
Step-by-step explanation:
Have a fantastic day!
Answer:
good
Step-by-step explanation:
4. A movie-streaming service offers 12 children's movies. This is 15% of the
total number of movies offered. How many movies does the streaming
service offer? *
Answer:
80
Step-by-step explanation:
12 is 15% of 80.
80 movies does the streaming service offer.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A movie-streaming service offers 12 children's movies.
This is 15% of the total number of movies offered.
let the total number of movies offered be x.
So, 15% of x= 12
15/100 x = 12
x= 1200/15
x= 80
Thus, there were total 80 movies.
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✨6 grade math✨ Step by step pls
Answer:
pemdas!!
p=( ), [, ]
e= exponts
m and d= multiplaction and division
a and s = add and subtract
now 3x(3+12/3)-4
= 3x(3+4)/4
= 3x(7)/4
= 3x7/4
= 21-4
= 17
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \times (3 + 12 \div 3) - 4 \\ \\ = 3 \times (3 + 4) - 4 \\ \\ = 3 \times 7 - 4 \\ \\ = 21 - 4 \\ \\ = 17[/tex]
If sin 0 >0 and cos 0 = 0, then which of the following is
true?
Answer:
Step-by-step explanation:
There's no list but one answer would be sin O = 1.
I need help with this
Answer:
I believe D
It's sheds video games in a good light!
Hope that helps!
Answer:
yeah d seems to be the most likly
Step-by-step explanation:
can I get some help finding the area of these 2 shapes plz!
Answer: Triangle is 28 and the Parallelogram is 50
Step-by-step explanation:
For the triangle 8×7=56 and then we divide it by 2 so,
56÷2=28
And, for the parallelogram it would be 50 because 5×10 is 50.
HELP
In a fruit basket there are 9 bananas, 4 apples, and 3 plums. Fill in the blanks- The ratio of bananas to apples is ___:___
Answer:
54
Step-by-step explanation:
please help me asap!!!
Answer:
P = 37 units
Step-by-step explanation:
Which figure is a pyramid? A cone. B cylinder. C rectangular prism. D pyramid.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Diana received an inheritance of $3500 and plans to place all the money in a savings account that pays 3% compounded quarterly. How much money will be in the account in 10 years ?
Answer:
$36,050
Step-by-step explanation:
If the original price Diana puts into the savings account is $3500 and the pays 3% increase, than how much will be in the account in 10 years?
3% can also be turned in 3 divided by 100, I will be using that in my explanation.
3 divided by 100 : 0.03
you then multiply 0.03 by 3500 and you will get 105.
3% of the $3,500 is $105
$3,500 plus $105 is $3,605
You then have to multiply that answer by 10(years)
$3,605 times 10 is $36,050