1. Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year = 365 days.
Principal $1031
Rate 1.4%
Time 3 years
Answer:
a) $ 44.07
b) $ 44.15
c) $ 44.20
d) $ 44.22
e) $ 44.22
Step-by-step explanation:
The formula to find the total amount earned using compound interest is given as:
A = P(1 + r/n)^nt
Where A = Total amount earned after time t
P = Principal = $1031
r = Interest rate = 1.4%
n = compounding frequency
t = Time in years = 3 years
For each deposit, find the interest earned if interest is compounded
(a) semiannually
This means the interest is compounded 2 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/2) ^2 × 3
A = 1031 (1 + 0.007)^6
A = $ 1,075.07
A = P + I where
I = A - P
I = $1075.07 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.07
(b) quarterly
This means the interest is compounded 4 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/4) ^4 × 3
A = 1031 (1 + 0.014/4)^12
A = $ 1,075.15
I = A - P
I = $1075.15 - $1031
A = P + I where
P (principal) = $ 1,031.00
I (interest) = $ 44.15
(c) monthly,
This means the interest is compounded 12 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/12) ^12 × 3
A = 1031 (1 + 0.014/12)^36
A = $ 1,075.20
A = P + I where
I = A - P
I = $1075.20 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.20
(d) daily,Use 1 year = 365 days
This means the interest is compounded 365 times in a year
Hence:
A = P(1 + r/n)^nt
A = 1031(1 + 0.014/365) ^2 × 3
A = 1031 (1 + 0.00365)^365 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
(e) continuously. .
This means the interest is compounded 2 times in a year
Hence:
A = Pe^rt
A = 1031 × e ^0.014 × 3
A = $ 1,075.22
A = P + I where
I = A - P
I = $1075.22 - $1031
P (principal) = $ 1,031.00
I (interest) = $ 44.22
PLEASE ANSWER THIS I BEG FOR YOUR MERCY!!!!!!!!!!!! if you dont know....dont answer
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
A line with a slope of 3 passes through the point (6,9). What is its equation in
slope-intercept form?
The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
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Please, I need help.
How do these results about area and perimeter of similar quadrilaterals compare with similar situations for triangles?
Answer:
Let's see
Step-by-step explanation:
Two triangles are same ∆1 and ∆2
They have same height and breath
Now ∆1= ∆2
=> ar(∆1)= ar(∆2)
The same is for quadrilaterals
on someone plz help it is timed i will give Brainliest if correct
Answer:
D.
Step-by-step explanation:
What is the slope of the line through the points (5,2) and (-3, -7).
Answer:
8/9
Step-by-step explanation:
Write the equation in slope-intercept form for a line which points go through (-2,3), parallel to x=o
Answer:
x = -2Step-by-step explanation:
Line x = 0 is parallel to y-axis
Line parallel to given line is also parallel to y-axis. It passes through point (-2, 3), so its equation is:
x = -2What is the difference of 104 - 2.84?
O 100.31
O 100.56
O 101.16
O 102.16
Your school is installing new turf on the football field. A coordinate plane has been superimposed on a diagram of the football field where 1 unit = 20 feet. A) what is the length of the field. B) what is the perimeter of the field. C) Turf costs $2.69 per square foot. Your school has a $150,000 budget. Does the school have enough money to purchase new turf for the entire field? Please show the steps.
Answer:
Step-by-step explanation:
1) length of the field = 18 unit= 18*20=360 ft
2) circumference = 2(l+w)
2*(18*20+8*20)=1040
3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2
Cost for the entire area= 57600*2.69= 170,000$
No it doesn't
A) The length of the field is 360 feet
B) The Perimeter of field is 1040 feet
C) The school does not have enough money to purchase new turf for the entire field.
what is Area of rectangle?The Area of rectangle is the product of the length to its width.
Area of rectangle= length x width
Given:
1 block= 20 feet
A) length= 18 blocks
= 18 x 20
= 360 feet
width= 8 blocks
= 8 x 20
= 160 feet
B) Perimeter of field
= 2( l+w)
=2( 360 + 160)
= 2 x 520
= 1040 feet
C) Area of field
= l x w
=360 x 160
= 57600 feet²
If cost of 1 square feet is $2.96
and, the cost of 57600 feet²
= 2.96 x 57600
= $170,496
No, the school does not have enough money to purchase new turf for the entire field.
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Lukas is running a lemonade stand on a hot summer day. He spent $14 for the materials and earns $1.50 for each cup of lemonade sold. What is an equation that relates the number of cups of lemonade sold, c and the profit earned, P, and explain whether Lukas selling 19.5 cups is a viable solution.
The equation would be 1.50x - 14 = P
If lucas sells 19. cups then that means he will earn a total of 29.25$ but since he spent 14$ for the materials itself that concludes to the total being 15.25.This would be a viable solution because he is earning more money then he is loosing.
The wholesale price of a bicycle is $120. If the store wants to mark up the bicycle 40%, what is the final price
Find the sale price of the item. Round to two decimal places when
necessary. *
Original Price: $40.00; Markdown: 15%
$46
$34
$42
$32
First, determine what 15% of $40 is.
Convert 15% to a decimal: 0.15
Then multiply this decimal by $40: 0.15 x 40 = 6
So the discount is $6.
We subtract the discount from original price to get sale price.
40-6= 34
So the item will cost $34.
The salesman gave me 20% off of my new laptop regularly priced $500. How
much did I save? *
Answer:
100
Step-by-step explanation:
20% of 500 is 100
Answer:
$100
Step-by-step explanation:
20% is the same as 1/5. 1/5 of 500 is 100. Then add dollar signs, and you have your answer.
Use the figure to find the measure of Angle 6.
Answer:
40
Step-by-step explanation:
140-180= 40
Simplify the expression.
49^3/2
Answer:
i think its 58824.5
i need to know the answer to this please ive been trying to figure it out forever now and i dont know what to do
In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.
Answer:
24 amps
Step-by-step explanation:
Current = k /resistance
k = current × resistance
= 40 × 12
= 480
If the resistance is 20 ohms then the current can be calculated as follows
Current = 480/20
= 24 amps
Find the value of the trigonometric ratio.
9) sin z
Answer:
SinZ=24/40 = 12/20 = 3/5
C)
The value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.
What are trigonometric ratios?The trigonometric ratios are the ratios of sides of two sides of right angled triangle used in trigonometry. Trigonometric ratios are used to find the value of the acute angles in a right triangle when the sides of the triangle are given.
We have,
A right-angled triangle XYZ with the given values,
Angle Y = 90°
And,
YZ = 32, XY = 24 and XZ = 40,
Now,
Using the trigonometric ratios,
i.e.
[tex]Sin Z=\frac{Perpendicular}{Hypotenuse}[/tex]
i.e.
[tex]Sin Z=\frac{XY}{XZ}[/tex]
So,
[tex]Sin Z=\frac{24}{40}[/tex]
On simplifying,
We get,
[tex]Sin Z=\frac{3}{5}[/tex]
So,
The option C is the correct answer for the given triangle find out using trigonometric ratio,
Hence, we can say that the value of the trigonometric ratio Sin Z for the given triangle XYZ will be [tex]\frac{3}{5}[/tex], i.e. option C.
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Which type of data would be best displayed in a box plot?
Answer:c
Step-by-step explanation:i took the test
option C, The number of votes received by each of four candidate can be best displayed in a box plot.
Explanation:
We need to find which type of data can be displayed in a box plot from the given options.
The box plot can used to show the shape of a distribution, the lower value , higher value , the central value, and its variability.
The graph shows how the values of the data are spread out .It is the distribution of numerical data. Box plot can be used to compare multiple groups .
So, the answer can be option C
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I need help !! this is geometry hw
Answer:
angle a=64, longest side AV : shortest side: TV
angle c=55 longest side: BW shortest side: CB
angle z =24 longest side: XZ shortest side: XP
Step-by-step explanation:
-14x + 18 - 11 -2x + 3
Answer:
-2(8x-5)
Step-by-step explanation:
Answer:
I think you meant -14x+18-11-2x+3=0
If that's the case then x= 5/8
Step-by-step explanation:
-16x+10=0
-16x= -10
x= -10/-16 = 5/8
In decimal form it is 0.625
Help meeee!will give brainliest!
Answer
(2,0) Brainliest please
Step-by-step explanation:
Help... pls ASAP Fill in the blanks
Answer:
I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.
Step-by-step explanation:
So, for the chart you just mulitply and evauluate
Time (min) | 2 | 3 | 4 | 5 | 6 |
Water used (gal) | 8 | 12 | 16 | 20 | 24 |
A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the schools students 32% of them plan to go into general practice. Find the p- value for a test of the schools claim
Answer: 0.1548
Step-by-step explanation:
The P value can be calculated from the value of the test statistic :
H0 : p ≤ 0.28
H1 : p > 0.28
Zstat :
(p - p0) / √((p0(1-p0))/n)
p = 0.32 ; p0 = 0.28 ; n = 130
(0.32 - 0.28) / √((0.28(1 - 0.28))/130)
Zstat = 1.0157490
Zstat = 1.016
Using a 0.05 significance ;
The P value obtained using the p value from z statistic calculator is 0.154815
Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?
In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).
Answer:
1/9 cup of sugar for every 1/4 cup of flour
Step-by-step explanation: Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.
Put these over a common denominator: ³/5 and 4/7
ANSWER 35
Step-by-step explanation:
7 and 5 - 35
Now just simplify the 3 and 4 :)
Which expression is equivalent to (m^2-3m+7)(m-5)^-1
Answer:
a
Step-by-step explanation:
Jordan drove for 6 hours at 55 miles per hour, while Matt drove for 3 hours at 60 miles per hour. If Isaac drove 82 miles longer than Jordan and Matt drove combined, for how many miles did Isaac drive.
Answer:
592 miles
Step-by-step explanation:
Answer:
592 miles
Step-by-step explanation:
1. To figure out how many miles Jordan drove, multiply 6 by 55. 6 x 55 = 330.
2. To figure out how many miles Matt drove, multiply 3 by 60. 3 x 60 = 180.
3. Add 330 and 180 together to find out how many miles they drove in total. 330 + 180 = 510 miles.
4. Add Isaac's 82 miles to 510 miles to get the answer of 592 miles.
Tim has a large collection of books. The number of paperback books he has is 3 times less then 4 times the amount of hardcover books. How many hardcover books does Tim have?
Complete Question:
Tim has a large collection of books. The number of paperback books he owns is three less than four times the number of hard cover books, in total Tim had 447 books, How many hard cover books does Tim own ?
Answer:
Tim has 90 hard cover books
Step-by-step explanation:
Represent the paper books as P and the hard covers as H
The total number of books can be represented as:
[tex]P + H = 447[/tex]
From the first statement, we have:
P = 3 less than 4 times H
This means:
[tex]P = 4H - 3[/tex]
Required
Solve for H
Substitute 4H - 3 for P in [tex]P + H = 447[/tex]
[tex]4H - 3 + H = 447[/tex]
Collect Like Terms
[tex]4H + H = 447 + 3[/tex]
[tex]5H = 450[/tex]
Solve for H
[tex]H = \frac{450}{5}[/tex]
[tex]H = 90[/tex]
Hence:
Tim has 90 hard cover books