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
An orange grove has 858 trees. There are 33 rows each with the same number of trees
Hon many trees are in each rows?
Answer:
26
Step-by-step explanation:
If each row has an equal number of trees, you would divide the total number of trees by the number of rows. 858/33 is 26
Answer:
26
Step-by-step explanation:
858 divided by 33 equals 26.
35
How do you write as a percentage?
50
Answer:
0.7 is a decimal and 70/100 or 70% is the percentage for 35/50.
Step-by-step explanation:
Hope this helps!
Five less than 3 times a number is 25. What is the number?
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x - 5 = 25[/tex]
[tex]3x = 30[/tex]
[tex]x = 10[/tex]
Answer:
10?
Step-by-step explanation:
I think this is the right answer
I hoped this helped :)
3. The triangles are similar. Find the value of x.
Answer:
yeah
Step-by-step explanation:
Answer: Is it 3?
Step-by-step explanation:
solve -1 < x + 1 ≤ 6
Answer:
-2<x≤5
Step-by-step :
-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.
-1<x+1≤6 I would start off by isolating x in the middle.
-1<x+1≤6 I subtracted 1 from all three sides.
-1 -1 -1
Now your equation should look like this:
-2<x≤5 Now there is really nothing much we can do here since we were just trying to get x by its self.
Answer : -2<x≤5
Apparently, I'm putting in a phrase that hurts Brainly's feelings. So I'm gonna put in a picture instead : )
Answer:
11
Step-by-step explanation:
Because you put the four into the equation like this: f(x)= 2(4)+3
And 2 times 4 equals 8
And 8 plus 3 equals 11
Have a great day!
Last year, Ivy's pant measured 12 inches. This year, her plant is 75% taller.
How many inches did her plant grow?
Answer:
The plant grew 9 more inches since last year.
Step-by-step explanation:
75% of 12 is 9 and the initial plant growth was 12 inches.
So, the plant grew 9 more inches since last year.
The plant is now 21 inches.
Answer:
9
Step-by-step explanation:
Divide 12 by 4 to get 25% = 3
25% x 3 = 75%
3 x 3 = 9
Which line on the graph below has an undefined slope?
○ P
○ Q
○ R
○ S
Answer:
R
Step-by-step explanation:
Answer:
R
Step-by-step explanation:
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
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 45 °F. The temperature increases by 25 °F per minute,x , when being heated.
The equation is y=
(Need help ASAP)
How many solutions does the equation have:
3x - 5 = -5 + 3x
Answer:
Infinitely many
Step-by-step explanation:
Add 5 to both sides and subtract 3x on both sides. that results in 0=0. if the numbers are the same, than its infinitely many.
Answer:
0=0
Step-by-step explanation:
3x-5=-5+3x
0=0
find the surface area of this cylinder using pie.
Emma earns $2 less than three times as much as Rachel. Nick earns twice as much as Emma. Together they earn $594 per week. How much does each person earn per week?
Answer:
290$
Step-by-step explanation:
Answer:
Mei earn $2 less than three times as much as Olivia. Shane earns twice as much as mei. Together they earn $594 per week. How much does each person earn per week?
***
Step-by-step explanation:
let x=amt Olivia earns
3x-2=amt Mei earns ($2 less than three times as much as Olivia).
2(3x-2)=amt Shane earns (twice as much as mei)
..
x+3x-2+2(3x-2)=594
x+3x-2+6x-4=594
10x=600
x=60
3x-2=178
2(3x-2)=356
amt Olivia earns=$60
amt Mei earns=$178
amt Shane earns=$356
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
Complete the following sentence.
If x is to 9 as 8 is to 12, then x is equal to
.
Answer:
Srry im late
Step-by-step explanation:
what i miss
I need help with this
Answer: 0.6 grams
Step-by-step explanation: divide grams by cm and its 0.6
The equation 2x-7=5+x has exactly one solution. True or false
Answer:
True
Step-by-step explanation:
x=5+7=12
The only solution is x=12.
I’ll name brainliest✨
Answer: -5 1/2 or -5.5
Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2
Answer:
Point B is located at -5.5
Step-by-step explanation:
Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5
I hope this helped to answer your question.
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game. Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
Answer:
X+14=y
Step-by-step explanation:
please help me out
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
Answer: A
Step-by-step explanation:
12 and 16
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ5
The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
Giovanni spent a total of $13.75 bowling. He rented bowling shoes for $2.50 and bowled 3 games. Each game cost the same amount. Create an equation that can be used to determine g, the cost of dollars of each bowling game.
Justin has 2 red marbles, 7 blue marbles, and 5 green marbles. How many total marbles does Justin have?
Answer:
14
Step-by-step explanation:
2+7+5
Answer:
14 total marbles.
Step-by-step explanation:
I'm pretty sure we are supposed to use addition, so
2 red marbles + 7 blue marbles + 5 green marbles = 14 marbles
Hope this helps!
28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.
Answer:
[tex]\frac{5}{6}[/tex] cups
Step-by-step explanation:
Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.
1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt
[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt
Form a union for the following sets.
K=2,3, 5, 8)
L={3, 5, 7)
(3,5)
( )
(2,3,5,7,8)
(2,7,8)
Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
A mom mixes 9 ounces of juice with 3 ounces of water. What present of the drank is juice?
Answer:
6 ounces of juice
Step-by-step explanation:
Answer:
12 ounces
Step-by-step explanation:
A mom mixes 9 ounces of juice with 3 ounces of water. This means that the total ounces of drink= 9+3 = 12 ounces. The percent of the drink which is juice is: Ratio of the quantity of juice to the total quantity of drink and multiplying this obtained quantity by 100.
10) Joe took a taxi from his home to the airport. The taxi driver charged an initial fee of $8 plus
$4 per mile. The total fare was $48, not including tip. How many miles did Joe travel by taxi on
this ride?
PLEASE HELP ME ASAP!!!!!!
Answer:
b
Step-by-step explanation:
Giving brainless to the correct answer I need it asap!
Answer: I think it’s 10
Step-by-step explanation:
Answer:
I'll only put in the answer if you help me first. Spamming people doesn't feel good and is not helpful.
Step-by-step explanation:
Which expressions are equivalent to 5x?
(Didn’t expect the test to be this hard ;C)
A: 5x + 0
B: x (0) + 4x
C: x + (0 + 4x)
D: 4x + (1) x
E: 5x multiplied by 0
F: 5x (1)
Answer:
A, E, F
Step-by-step explanation:
Your welcome
Answer:
its a,d,c,e, and f
Step-by-step explanation: