Calculation. Formula.
P (1 + r/n)^(nt)
Calculate accrued amount. Principal + Interest. A = P(1 + r)t
Calculate principal amount. Solve for P in terms of A. P = A / (1 + r)t
Calculate principal amount. Solve for P in terms of I. ...
Calculate rate of interest. As a decimal. ...
Calculate rate of interest. As a percent. ...
Calculate time. Solve for t.
The solution for P (Principal amount) in a compound interest Formula is; P = A/(1+ r)^t.
Changing the Subject of a formulaBy convention, the formula for calculating the compound interest is;
A = P(1 + r)^tOn this note, it follows that; the principal amount, P can be calculated by dividing both sides of the equation by the expression; (1+ r)^t.
Ultimately, the solution for P is; P = A/(1+ r)^t.
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You have read 25 pages of a book. You plan to read an additional 10 pages each night. Write the explicit formula to represent the number of pages you will read after n nights.
Answer:
p=10n+25
Step-by-step explanation:
Let's have p represent the number of pages you will read. If you read 10 pages per night, then you are multiplying 10 by the number of nights, which gives you 10n. Because you have already read 25 pages, you want to add to the 10n to give you the equation of p=10n+25
Answer:
Pages= 25 + 10n
Step-by-step explanation:
Since the starting point is 25, that remains constant. 10n represents 10 pages per night.
write 0.001574 in scientific notation
Answer: 1.574 × 10-3
Step-by-step explanation:
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10-3
Answer:
0.001574 in scientific notation is 1.574 × 10^-3
Step-by-step explanation:
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10^-3
Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.
Hope this helped!!!
For all values of x, f(x) = 2x-3 and g(x) = x^2 + 1 a) Find fg(x) Simplify and give your answer in the form ax^2 + b b) Find gf(x).
Answer:
fg(x) = 2x² - 1
gf(x) = 4x²-12x +10
Step-by-step explanation:
Given the functions f(x) = 2x-3 and g(x) = x^2 + 1
a) f(g(x)) = f(x²+1)
f(x²+1) = 2(x²+1) -3
f(x²+1)= 2x²+2 -3
f(x²+1) = 2x² - 1
fg(x) = 2x² - 1
Hence function fg(x) is 2x² - 1
b) gf(x) = g(2x-3)
g(2x-3) = (2x-3)² + 1
g(2x-3) = (2x-3)(2x-3) + 1
g(2x-3) = 4x²-6x-6x+9 + 1
g(2x-3) = 4x²-12x +10
gf(x) = 4x²-12x +10
Bob order 151/2 pound of cherrys fron the farm,this year they want to order 1 1/4 more pound but then 2/5 of the order they want blue berrys what is the percent
Answer:
Percentage of cherries = 60 %
Percentage of berries = 40 %
Step-by-step explanation:
He orders 15 1/2 pounds every year.
He wants more= 1 1/4 pounds
So the total pounds = 15 1/2 + 1 1/4
= 15 + 1 + 1/2 + 1/4
= 16 + (2+1)/4
= 16 + 3/4
= 16 3/4 pounds
Out of 16 3/4 pounds they want 2/5 part to be of blue berries.
So blue berries = 16 3/4 * ( 2/5)
= 67/4 * ( 2/5)
= 67/10 = 6 7/10 pounds
Amount of cherries= 16 3/4- 6 7/10
= 10 3/4- 7/10
= 10 (15- 14)/20
= 10 1/20 pounds
Percentage of cherries = Amount of cherries/ Total amount * 100
= 201/20 / 67/4 *100
= 201/20 * 4/67 *100
= 201/335 *100
= 60 %
Percentage of berries = 100- 60 = 40 %
A landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters
PLEASE NO LINKS!
Answer:
154 m^2
Step-by-step explanation:
Area of a circle: A = (pi)(radius)^2
Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2
Help on these please
All the triangles have 180° total angle measurement.
First question:
114 + 37 + x = 180°
151 + x = 180
x = 180 - 151
x = 29°
Second question:
93 + 46 + x = 180
139 + x = 180
x = 180 - 139
x = 41°
Answer:
In the first question x=29 Because the interior of a triangle adds up to 180.So you will add 114+37=151 , 180-151=29
The second question 93+46=139
180-139=41
x=41
Pls help. Due in 5 mintues pls.
A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.
PLS help me I'm DESPERATE
its 100 points so it will be worth it
Answer:
23 gallonsStep-by-step explanation:
The area of the 4 exterior walls:
A = 2(38 + 84)*20 = 4880 ft²The area of the 2 triangular faces:
A = 2*1/2*38*12 = 456 ft²Total area to be painted:
4880 + 456 = 5336 ft²Paint required:
5336 / 232 = 23 gallonsDo these three sides make a triangle? Is it unique? 1.4 miles, 1.8 miles, and 4.5 miles
Yes, it is a triangle and it is unique.
Yes, it is a triangle, but it is not unique.
No, it does not make a triangle.
Answer:
No It Is Not A Triangle
Step-by-step explanation:
To be a triangle the 2 shorter sides have to add up greater than the longest side, 1.4+1.8=3.2 which is not grater than 4.5
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Answer:
B
Step-by-step explanation:
Answer:
B is the correct answer.
hope it helps my friend.
plz mark me as brainliest if you want.
no files plssssssss!
Answer:
Your answer is the first option, (2,-1).
Step-by-step explanation:
All you have to do is plug the (x,y) values into both equations, then solve and see if they're true.
For the first equation, plug x (aka 2) and y (aka -1) into the places they belong.
2x + y = 3 would become 2(2) + (-1) = 3 after putting the values in the right spots.
Solve.
2(2) = 4.
4 + (-1) = 3
3 = 3.
That means that (2,-1) is the solution for the first equation, however it also needs to be true for the second. Do the same thing and plug the values in their designated spots.
y = x - 3 will become -1 = 2 - 3.
2 - 3 = -1.
So you're left with:
-1 = -1, which means again that (2,-1) is also the solution for that equation.
__________________________________________________________
If you have any questions about any of the process here, ask in the comments of this response and I'll help you out.
Please Help Me!
The table lists the steps to construct a tangent to circle P through point T. Drag the steps so they are in order.
Answer:
The answer is already in the correct formation, there is nothing to change.
Answer:
the person above is right.
The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?
A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb
pls answer quickly since this is a quiz :)) picture included above
Find a third-degree polynomial equation with rational coefficients that has roots 4 and 6 + i.
a. x^3 - 8x^2 - 11x + 148 = 0
b. x^3 - 8x^2 - 12x + 37 = 0
c. x^3 - 12x^2 + 37x = 0
d. x^3 - 8x^2 - 11x = 0
Answer:
I would say A.
Step-by-step explanation:
Solve this equation
√x - 7= √x - 7
Answer:
Search on mathaway
Step-by-step explanation:
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure.
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Step-by-step explanation:
Flora drew the following graph to answer the question. What was her mistake when she drew her graph? (NO LINKS)
Answer:
Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.
Cookies cost $3.50 per package. How many packages of cookies can Gail buy if she has \$42 .00? Write an equation and solve.
Answer:
Solve: 12 packagesEquation: n = $42.00¢Step-by-step explanation:
Given
1 package = $3.50¢
∴, ? package = 42.00¢
Equation
Identify the variable. Let n be the variables, then, the equation is: n=$42.00¢
Solve
Since 1 is 3.50
To find 42.00
Divide 42.00 by 3.50
42.00 ÷ 3.50 = 12
Therefore, Gail can buy 12 packages with $42.00¢
On your last credit card statement, you had a previous balance of $567.18, payments of $120, a periodic rate of 1.56 percent, and new charges totaling $45.17. What is your new balance?
$288.29
$447.18
$499.33
$567.18
Answer:
$499.33
Step-by-step explanation:
Verified correct with test results.
two cords.
AD=92 and BC=140
What does m
The function m is given in three equivalent forms. Which form most quickly reveals the vertex
Answer:
m (x) = -2(x-6)^2 +18
Step-by-step explanation:
Plz help me!!! Giving brainliest if someone else answers it. I put 2 questions
Answer:
1) C
2) A
Hope it Helps!
:)
Identify fractions greater than 3/5
How long is a string reaching from the top of a 13-ft pole to a point on the 3 points ground that is 7 ft from the base of the pole?
Answer:
14.76 ft
Step-by-step explanation:
L²= 13² + 7²
L² = 169 + 49 = 218
L = √218 = 14.76 ft
Answer:
14.8
Step-by-step explanation:
We use the Pythagoras theorem because the string and the pole are making a right angle triangle
7^2+13^2=c^2
49+169=c^2
218=c^2
14.8=c
shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour
Answer:
Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.
Step-by-step explanation:
Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all
The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.
Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.
What is a inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let the number of hours be x.
Now, 7.55x+100≥160
Subtract 100 on both the sides of inequality, that is
7.55x+100-100≥160-100
⇒ 7.55x≥60
Divide 7.55 on both the sides of inequality, that is
7.55x/7.55 ≥ 60/7.55
⇒ x ≥ 7.94
7.94≈8
The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.
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Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Answer:
Each piece of cloth is (1/12) of a yard long.
Step-by-step explanation:
Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.
To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.
This is:
length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]
This means that the length of each piece of cloth is (1/12) of a yard long.
Answer:
1/12 trust,
because yes. >3
2022 / 2023
It is customary to leave a 15% tip for a waiter/waitress. Suppose your meal costs $22.50, What would you tip the wait person? How much totalwould you pay for the meal?
Answer:
$25.88
Step-by-step explanation:
Given data
Cost of meal= $22.50
Tip= 15%
Let us find 15% of $22.50
=15/100*22.50
=0.15*22.50
=3.375
Hence the amount you would pay in total is
=3.375+22.5
=$25.88
-3|-6+7|=
Can someone help me with that pls?
Answer:
the answer is -3
Step-by-step explanation:
2 cups of coffee and 3 cops of tea cost £10.10
Three cups of coffee and 3 cups of tea cost £15.10 work out how much one cup of coffee is and one cup of tea is
Answer:
Fard
Step-by-step explanation:
Hehe funi
please help
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