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 correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
2nd answer
Step-by-step explanation:
a circle has a circumference of 54π cm what is the radius?
Answer:
circumfrence = 108
Step-by-step explanation:
Radius = half the circumfrence
radius * 2 = circum.
54*2 = 108
108 = circum
Jennifer had 3 \frac{3}{4}
4
3
lbs of tomatoes. She used \frac{1}{3}
3
1
OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)
Answer:
She used 1/4 of a pounds for salad
Step-by-step explanation:
Here, we want to calculate the amount of pounds of tomatoes used to make salad
From the question, she has 3/4 pounds and used 1/3 of what she has to make salad
What she used will be;
3/4 * 1/3 = 1/4
plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300
Answer: 15
Step-by-step explanation:
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
Graph
Y=3/4x - 1/2
Pleaseeeee help!!
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
All we need to do is solve for y.
[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]
The answer is A. y = 4x + 11.
Factorise
X squared + 13x + 40
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
#SPJ2
Solve for ... 2x + 3
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?
Answer:
You'll pay $3013
Step-by-step explanation:
Amount to pay=$2620+Interest accrued
A=$2620+($2620×0.03×5)
A=$2620+$393
A=$3013
The point (1,0) lies on the graph of
P(x) = x^4 - 2x^3 - x+2
A. True
B. False
Answer:
The given statement is true.
Step-by-step explanation:
Given function is:
[tex]P(x) = x^4 - 2x^3 - x+2[/tex]
And the given point is:
(1,0)
In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.
For (1,0) we will put x = 1 in function and check whether we get 0 as output
[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]
Hence,
The given statement is true.
Answer:
A. True
Step-by-step explanation:
I EILL MAKE BRAINLEST NEED HELP ASAP MT TEACHER IS ABOUT TO YELL WT ME PLEASE PLEASE PLEASE PLEASE PLEASE
help plss i will mark brainliest
Answer:
x = 8
Step-by-step explanation:
10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^
Answer:
x =25/2
10/8 = x/10
- Cross multiply
8x=100
- Divide both sides by 8
x=100/8
- Simplify
x=25/2
Hope This Helps!
jontae went to brunch with his family and offered to pay the bill.The total bill was $54.19 before tax. If there is a 15% how much does he pay in taxes
Answer:
$62.32
Step-by-step explanation:
54.19 · 15/100 = 812.85/100 = 8.1285
simplify 8.1285, so it's 8.13
$54.19 + $8.13 = $62.32
Please hurry!! Steven and Dan like to play a lot of video games. On Sunday, Dan played 4 fewer than twice the number of hours that Steven played. They played a total of 17 hours on Sunday. Which system of equations models this situation if Steven played s hours and Dan played d hours?
A) d=4-2s s+d=17
B) s=2d-4 s=17-d
C)d=2s-4 s+d=17
D)s=4-2d d=17-s
Answer
Step-by-step explanation:
Answer:i think A or C
Step-by-step explanation:
i'm not sure about my answer but i chose C and i don't know if i got it wrong or right but its either both of them i hope this helps.
Whats the absolute value of 3 1/7
Answer:
3.142857 (3.14)
Step-by-step explanation:
y
What is the equation of the line in it's simplest forms
Answer:
you to be the line smell the line and thats it
Step-by-step explanation:
Consider these functions:
f(x) = 2x3 + 3
g(x) = x – 4
What is the value of g(f(x))?
Answer:
2x^3+3-4
Step-by-step explanation:
Answer:
2x^3 - 1
Step-by-step explanation:
Plato/Edmentum
The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.
Answer:
The population at the beginning of 2016 is 55,326.
Step-by-step explanation:
Giving the following information:
Population 2010 (PV)= 42,000
Growth rate (g)= 4.7% = 0.047
Number of years (n)= 6 years
To calculate the population at the beginning of 2016, we need to use the following formula:
FV= PV*(1+g)^n
FV= 42,000*(1.047^6)
FV= 55,326
The population at the beginning of 2016 is 55,326.
Can you help meh pls
Find the sum. (w+8) + 2(w +9)
I'm very confused, I don't know where to even start! Please help me!!
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
Multiply
(1.4 x 105)(2 x 107)
Answer:
31458
Step-by-step explanation:
(1.4 x 105) = 147
(2 x 107) = 247
147 x 247 = 31,458
Original Equation: -5x + 2 = 5
First Step: --5x = 3
distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality
Answer:
subtraction property of equality.
Step-by-step explanation:
the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)
If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.
50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0
The answer is 45.0
Mark Branliest!
HELP HURRRYYY!!!! If (72)x = 1, what is the value of x? Explain your answer.
Answer:
1/72
Step-by-step explanation:
72 times x equals 1
to find singular value of x, divide both sides by 72.
x=1/72
Answer:
1/72
Step-by-step explanation:
Which expression is equivalent to 9-3?
3(y-1)
3(3y-1)
9(y-3)
9(3y-3)
if its correct I will give brainliest!♡
Answer:
B because 3*3=9 And 3*1=3 so it would be 3(3y-1) foil the answer
Step-by-step explanation:
The answer is B, I took the test.
Solve the system.
y=6x-1
y=3x-4
The solution is _____
.
Explain your choice of method.
Answer:
(-1, -7)
Step-by-step explanation:
Solve by graphing.
Graph the two equations together.
The lines intercept at (-1, -7).
Hope this helps.
Answer:
Solution: (-1, -7)
Step-by-step explanation:
6x - 1 = 3x - 4
Subtract 3x from both sides;
3x - 1 = -4
Add 1 to both sides;
3x = -3
Divide both sides by 3;
x = -1
Substitute x into the equation;
y = 3(-1) - 4
y = -3 - 4
y = -7
Problem Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Complete question :
Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
How much will Sathish pay for gas?
Answer:
$64.8
Step-by-step explanation:
Given that :
Total length of trip = 2100 km
Length of journey with Satish alone in the car:
(150km) beginning + (150km) ending = 300km
Length of journey with Satish and 2 friends :
2100 km - 300 km = 1800 km
Gas consumption:
6 liters per 100km
Cost of gas = $1.2 / litre
Consumption when Satish is alone :
(6 litres /100 km) * 300km = 18 litres
Cost = $1.2 * 18 = $21.6
Consumption with his 2 friends :
(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres
Cost = $1.2 * 108 = $129.6
Since amount is shared equally :
Amount paid by sattish = $129.6 / 3 = $43.2
Hence, total amount paid by Sattish is :
$21.6 + $43.2
= $64.8
Answer:
64.80 or 64.8
Step-by-step explanation:
whatever works <333
