Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
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Pythagorean theorem and Converse; find the value of x.
Answer:
x = 12.206555
Step-by-step explanation:
10^2 + 7^2 = 149
Sqrt(149) = 12.206555 = x
x ≈ 12.2, 12
Therefore, the value of the hypotenuse [tex]x[/tex] is [tex]12[/tex].
What is the pythagorean theorem?
The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Here given that,
[tex]B=7,P=10[/tex]
As we know,
[tex]H^2=B^2+P^2[/tex]
Substitute the given values in the formula is
[tex]x^2=(7)^2+(10)^2\\\\x^2=49+100\\\\x^2=149\\\\x=\sqrt{149}\\\\x=12[/tex]
Hence, the value of the [tex]x[/tex] is [tex]12[/tex].
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Will mark brainliest for any help!
Answer:
2) 523.3 in²
Steps:
the given polygon is a heptagon
a regular heptagon's area = 7/4 × s² × cot(180°/7)
for the given heptagon
A = 7/4 × 12² × cot(180/7) ≈ 523.28 in² = 523.3 in² (rounded)
Does it lie inside, outside, or on the circle?
Answer:
Given circle:
(x - 4)² + y² = 25The center is at (4, 0) and the radius is 5 units
Lets find the distance from (7, 2) to the center of the circle:
[tex]d = \sqrt{(7 - 4)^2 + (2 - 0)^2} = \sqrt{9+4} = \sqrt{13} < 5[/tex]Since d < 5, the point (7, 2) lies inside the circle
Help please pleasebfiwhier
Did Will and Hector volunteer the same number of hours in April? Explain.
Answer:
no
Step-by-step explanation:
The Countrywide building has a square base. It has 45 floors of offices, all of which have about the same number of windows.
If there are 8 windows on 1 side of the 23rd floor, what is a reasonable estimate for the number of windows in the entire building?
A. 8 windows
B. 45 windows
C. 360 windows
D. 1,440 windows
Answer:
Step-by-step explanation:
think it would be b
James used the numbers shown to write a 5 digit number on the board where the value of the 3 is 1/10 the value of the digit 3 in the number 234.89. What could be the number that James wrote on the board?
Move each number into a box
2 3 4 8 9
Answer:
23333333333333
Step-by-step explanation:
first this then that then this then that
Find the exact trigonometric value:
sin 255
Answer:
−0.965925826289068
Step-by-step explanation:
sin 255 = −0.965925826289068
heeelp help help help help help help
Answer: D 28.26
Step-by-step explanation:
A=pi r^2 or pi times r squared. R= half of the diameter so the radius of the circle is 3 cm. If the radius is 3 cm 3^2= 9 and 9*3.14=28.26
If the circumfrence of a circle is 117cm find length
Answer:
find the length??
Step-by-step explanation:
you do understand that length means finding how long something is right?
The seating space around the basketball court is shown below:
What is the perimeter of the total area?
m
What is the area of the seating space?
m2
where are the coeffients?
Is this equation true?
0.025 + 0.17 = 0.42
Answer:
No. the correct answer is 0.195.
Step-by-step explanation:
Answer:
No the answer is 0.195
Step-by-step explanation:
Find the value of x
Please help i don’t know the answer
Answer:
44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)
Which of the following best describes the difference between simple and compound interest?
Simple interest is easier to calculate than compound interest.
Simple interest earns interest on the previous interest earned only.
Compound interest earns interest on the principal plus any previous interest earned.
Compound interest earns interest on the principal only.
Answer:
Compound interest earns interest on the principal plus any previous interest earned.
Step-by-step explanation:
compound interest gets its name because the interest keeps on 'compounding' which means earning interest on interest
The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
Option 3 is true.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
We have to given that;
To defined best describes the difference between simple and compound interest.
Now, We know that;
Compound interest pays interest on your previous balance plus your previous earned interest; simple interest pays interest only on your original balance.
Hence, The correct best describes the difference between simple and compound interest is,
⇒ Compound interest earns interest on the principal plus any previous interest earned.
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9. On a math test with 52 questions, Kim solved 3/4 of the questions correctly. How many questions did Kim solve
incorrectly?
Pls hurry
Answer: Kim got 13 questions wrong.
Step-by-step explanation: First find how many questions were 75% of 52 questions since 3/4 is equal to 75%. Then subtract that amount (which is 39) from 52 and you get 13.
How many planes are shown in the figure?
Answer:
5
Step-by-step explanation:
5
Answer:
5
Step-by-step explanation:
Jada has read 3/5 of a book.she has read 75 pages so far how many pages are in the whole book?
Answer:
125
Step-by-step explanation:
(75/3)*5=125
Answer:
D: 125
Step-by-step explanation:
Jada read 3/5 of the book (75 pages) so 1/5 is 25. Multiply that by 5 (25 x5) to get 125!
Hope this helps
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Divide. round your answer to the nearest hundredth 89.881.57÷5
Answer:
1797631.4
Step-by-step explanation:
yeh
Given the system:
4x + 3y = -1
5x + 4y = 1
What is the solution to this system?
A. (-7,9)
B. (9,-7)
C. (-1,1)
D. (1,-1)
Answer:
A is the answer
Step-by-step explanation:
hope that helped
Find the value of the trig ratio?
Answer:
3/5
Step-by-step explanation:
To find the value of sinX we divide opposite side with hypotenuse
15/25 = 3/5
2x + 45
(Will be marked brainlist)
Answer:
x = 45°
Step-by-step explanation:
We know that (2x + 45)° and x° are adjacent angles, so they add up to 180°.
(2x + 45) + x = 180
3x + 45 = 180
3x = 180 - 45
3x = 135
x = [tex]\frac{135}{3}[/tex]
x = 45°
my points is going lower and lower and lower and lower until its zero
But i dont care.
Just answer my question in the picture above.
Answer:
c, a, b
...................
What rational number is equivalent to .36 repeating
Answer:
4/11
Step-by-step explanation:
i think,,,,try it and maybe its right
What does 19+6y-8 equal?
Answer:
Final Answer
11+6y
Step-by-step explanation:
Pls help I’ll brainlest ASAP
Answer:
Letter A. 50,000 + 100 > 75,000
pls give me a brainly's and I hope this answer can help you
Answer:
A. 50,000+100× = 75,000
Step-by-step explanation:
there you go that is the correct answer
If Ed earns $100 from each extra deal, then $25,000 divided by $100 equals 250. Ed sold 250 computers last year. The correct equation is (A) 50,000 + 100X = 75,000. Base Salary + (Commission Fee x Computers Sold) = Total Income, where the unknown "X" is the number of computers sold by Ed.
For the equation y - 3 = -2(x + 1) the line has a slope of -2 and
contains what point
Answer:
(0, -2) --> Y-Intercept
Step-by-step explanation:
y - 3 = -2( x + 1 )
y - 3 = -2x - 2
y= -2x -2
Y-Intercept = (0,y)
= (0, -2)
6th grade work please tell me the answer fast and don’t give me and incorrect one
Answer: 222cm
Step-by-step explanation:
To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.
To work out the area of the rectangle you have to do 15×12= 180
Then, to work out the area of the triangle, you use the formula base times height divided by 2.
7×12=84
84÷2=42
Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.
180+42=222cm
Hope this helps :)
the perimeter of the gym floor is eighty-eight and six-hundredths meters long. What is this in standard form
Answer:
hope this helps
Step-by-step explanation:
please do explain how u got it
Answer:
$3
Step-by-step explanation:
cost of tank tops
20 / 5 = $4 each
cost of t-shirts
35 / 5 = $7 each
7 - 4 = $3
Answer:
$3
Step-by-step explanation:
1.Approach
To solve this problem, one must first find the cost of each product. This can be done by diving the price by the amount of each product. After finding the unit price of each product, one will subtract the cost of the tank-top from the cost of the t-shirt.
2.The unit price of a t-shirt
It is the given that 5 t-shirts cost $35. Divide the price of the shirts by the number of shirts to find the cost of each individual shirt.
35 ÷ 5 = 7
Each individual t-shirt costs $7.
3.The unit price of a tank-top
It is given that 5 tank-tops cost $20. Divide the price of the tank-tops by the number of tank-tops to fund the unit price of each tank-top.
20 ÷ 5 = 4
Each tank-top costs $4.
4.Find out how much more each shirt costs
Now subtract the price of the unit price of the tank-top from the unit price of the t-shirt.
(t-shirt) - (tank-top)
= 7 - 4
= 3
A number x divided by two is twelve.