Answer:
Step-by-step explanation:
I = PRT
PRT = I
P = I/RT
P = 312.50/(.25)(.25)
P = 312.5/.0625
P= $5000
Principal for the given interest, rate of interest and time period is $5000.
Given that, I = $312.50, R = 25% and T = 0.25 years.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years.
Now, SI=(P × R × T)/100
312.50= (P × 25 × 0.25)/100
⇒ P × 25 × 0.25 = 31250
⇒ P = 31250/6.25
⇒ P = $5000
Therefore, principal for the given interest, rate of interest and time period is $5000.
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Suppose that the height H of a Ferris wheel can be modeled by the function H(A=-16cos(pi t/45)+24 where t is the time in seconds. What is the maximum height of a cabin? Use 3.14 for pi
Answer:
Step-by-step explanation:
Range of cosine is -1 to 1
Range of height is 8 to 40
If 8 model airplanes cost $24, what is the unit price of the model airplanes? The unit price of the model airplane.
Answer:
3 dollars per airplane
Step-by-step explanation:
24/8 is 3, where 8 is airplanes and 24 is cost in total
A 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction.
A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table.
A =
B =
Answer:
A = 1/5
B = 2/15
brainlist plz byubnbhy
Step-by-step explanation:
Answer:
A = 1/5
B = 2/15
Step-by-step explanation:
An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.
Answer:
78.3 or 78.29
Step-by-step explanation:
We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.
Opposite/Hypotenuse
We use this equation
[tex] \sin(theta) = \frac{opp}{hypo} [/tex]
Plug in the values
[tex] \sin(31) = \frac{x}{152} [/tex]
Which is about 78.29
An orchand has 8 times more apple trees than pear trees. There are 981 trees in all. How many more apple trees are there
Answer:
763
Step-by-step explanation:
there are 763 more apple trees than pear trees
Step-by-step explanation:
so, first we write the words into equations.
8P = A because there are 8x apples per x pear, so to make it equal we must multiply pears by 8. P+A = 981. replacing "A" in the second equation with "8P" to get P+8P=981=9P divide both sides by 9 to get 109 pear trees. knowing this we can get 981-109=A=872 apple trees. the problem asks for A-P which we can replace the numbers to get (872)-(109)=763 more trees
Answer:122.625
Step-by-step explanation:981 divided by 8 equals 122.625
Problem situation:
Janelle is at the movie theater and has $20
to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality that represents this situation:
20 > 8 + 4.99x
Drag each number to show if it is a solution to both the inequality and the problem
situation, to the inequality only, or if it is not a solution.
Answer:
Rewrite so x is on the left side of the inequality.
8 + 4.99x < 20
Move all terms not containing x to the right side of the inequality.
4.99x < 12
Divide each term by 4.99 and simplify.
x < 2.405
The result can be shown in multiple forms.
Inequality Form:
x < 2.405
Interval Notation:
( −∞ , 2.405 )
Step-by-step explanation:
Answer:
Both:
1
2
Inequality Only:
-4
3/4
2.3
Neither:
2.5
(2, 0); y > x – 5
y < 2x + 1
Y <-X + 3
tell whether the ordered pair is a solution of the system of linear inequalities
Answer:
ang hirap pag aralan mo po muna
Today, everything at a store is on sale. The store offers a 20% discount. B. If the regular price of an item is x dollars, what is the discount price in dollars?
i need answers!!!!!
Answer:
Step-by-step explanation:
Your answer
Regular price = x
Discount price =0.2x
Price = x- 0.2x = 0.8x $
Mark it as Brainlist. Follow me for more answer.
There are 99 males and 121 females participating in a marathon. What percent of the participants are female?
To do this, we first want to see how many participants there are in total by adding both males and females.
[tex]99+121=220[/tex]
Now we know that there were 220 total participants, but only 121 were females.
This allows us to set up the fraction 121/220= the percent female.
[tex]\frac{121}{220} =0.55[/tex]
or 55%
What scale factor was applied to the first rectangle to get the resulting image?
Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)
don't forget to drop a heart hope it helped
Step-by-step explanation:
Answer: 1/0.2=5
Step-by-step explanation:
I hope this helps if you guys need a reach out to me :)
Find the simple interest on 3,750 in 5 years at 3% rate per annum.
Answer:
562.5
Step-by-step explanation:
i=?
p=3750
r=3*1/100=3/100
t=5 years
I=P*R*T
3750*5*3/100
=5625/100
=562.5
simplify e with an exponent of in6
Answer:
Step-by-step explanation:
I think the exponent is ln6, not in6.
e^(ln 6)= 6
3.) Find the slope between the 2 points.
х
-2
-1
0
1
2
Y
-3
-1
1
3
5
You deposit $500 in an account that earns 6.5% annual interest compounded yearly. Write a function that represents the balance y (in dollars) after x years.
Answer:
f(x)=.65+y
Step-by-step explanation:
.
The function for compound interest is A = 500 ( 1.065 )ˣ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the compound interest amount be represented as A
Now , the interest rate r = 6.5 %
The number of times the interest is applied = yearly
The principal amount P = $ 500
n = 1 ( compounded yearly )
t = x ( number of years )
So, the function that represents the balance y (in dollars) after x years is:
y ( x ) = 500 ( 1 + 0.065/1 )ˣ
On simplifying , we get
y ( x ) = 500 ( 1.065 )ˣ
Hence , the function is A = 500 ( 1.065 )ˣ
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Help needed ASAP, please!
Answer:
percent 60%
fraction 60/100
ratio 60:40
(dk if it is)
Answer: 60% fraction: 6/10 ratio: 6:10
Step-by-step explanation:
Help plsssssssssssssss???
Answer:
output
-4
-2
0
Step-by-step explanation:
at x = -4 , y= -4
x = 1, y = -2
x = 2, y = 0
PLS HELP!!
Which expressions simplify to a rational answer?
Select each correct answer.
What’s the radius of a circle with the circumference of 37.68 feet
Answer:
r≈6ft
Step-by-step explanation:
Using the formula
C=2πr
Solving forr
r=C
2π=37.68
2·π≈5.99696ft
pls mark as brainliest
Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır
A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-
9.SINIF SALLAMAYIN DEVAMI FOTODA
Answer:
I would love to help, Could you put the question in EnglisStep-by-step explanation
Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent
Answer:
6.77
Step-by-step explanation:
Answer:
Step-by-step explanation:
Emily made $12.50 selling lemonade for 2 hours. At that rate, how long would she have to sell lemonade to eam $100?
O 16 hours
O 8 hours
O 625 hours
O 4 hours
Answer: 16 hours
Step-by-step explanation:
Find the sum. Write the sum as a mixed number, so the fractional part is less than 1. Number 3. 2 2/3 + 3 2/3 number 5. 9 3/6 + 2 2/6 number 7. 4 3/8 + 1 5/8
Answer:
See explanations below
Step-by-step explanation:
1)2 2/3 + 3 2/3
Convert to improper fraction
= 8/3 + 11/3
= (8+11)/3
= 19/3
= 6 1/3
hence the sum as mixed fraction is 6 1/3
2) 9 3/6 + 2 2/6
= 57/6 + 14/6
= (57+14)/6
= 71/6
= 11 5/6
Hence the value as a mixed fraction is 11 5/6
3) 4 3/8 + 1 5/8
= 35/8 + 13/8
= (35+13)/8
= 48/8
= 6
Hence the value is 6
The regular price of a camera is 180.00 the camera is on sale for 25% off the regular price. What is the sales price of the camera in dollars and cents
Answer:
$135
Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135
How to graph this???
Answer:
you cant see the full picture.
Step-by-step explanation:
Determine whether these triangles are similar. If so, circle the appropriate reason below. Please show all work.
Answer:
Yes these triangles ate similar.
Step-by-step explanation:
The two triangles are similar if their third angle is equal. The sum of all angles of triangles must be equal to 180 degrees. The triangle 1 has sum of 180 degrees and triangle 2 has sum of 180 degrees. These triangles have third angle same which is 45 degrees.
I need help plz
Find x and y
(45-45-90 formula)
i think itss this 45 45 90 triangle ratio
In a 45 45 90 triangle, the ratios are equal to: 1 : 1 : 2 for angles (45° : 45° : 90°) 1 : 1 : √2 for sides (a : a : a√2)Jun 26, 2020
Over here, we have a 45-45-90 special right triangle.
According to base angle theorem converse, this triangle is a congruent triangle so x = 14.
In a 45-45-90 triangle, the hypotenuse is the leg multiplied by [tex]\sqrt{2}[/tex]
So it would be:
14[tex]\sqrt{2\\}[/tex]
Hope this helps, let me know if you have any questions since it wasn't the best explanation.
find the unknown Angles in the given figure
Answer:
x = 50°, y = 50°
Step-by-step explanation:
⇒ x + x + 80° = 180°
⇒ 2x = 180° - 80° = 100°
⇒ x = 100°/2 = 50° ∴ y = x = 50°
Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
Joe determined the mass of 2 boxes using a scale. Since the cost of each box is the same, Joe would like to choose the box with the larger mass. Box A Box B 32.012 kg 32.02 kg Place the correct symbol between the 2 masses to help Joe decide. 32.012 Response area 32.02
Answer:
32.012 kg < 32.02 kg
Step-by-step explanation:
32.012 kg < 32.02 kg
look at the picture please help.
Answer:
Under 1: $3.25
Under 3: $9.75
Under 5: $16.25
Cost for 15 pounds = $48.75
Answer:
1 pound= $3.25
3 pounds=$9.75
5 pounds=$16.25
15 pounds =$48.75
Step-by-step explanation:
1x3.25=3.25
3x3.25=9.75
5x3.25=16.25
15x3.25=48.75
