1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
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Find the value of x that makes △DEF∼△XYZ.
Answer:
x = 5
Step-by-step explanation:
5×2 = 10
8×2 = 16
so
2(3x-5) = 20
3x-5 = 10
3x = 15
x = 5
juliana wrote the terms below. –8, –4, 0, 4, 8, 12 what do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
Answer:
B. an arithmetic sequence
Step-by-step explanation:
hope this helps :)
To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.
The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.
Sebastian can make more cherry trail mixReasons:
The given recipe are;
1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.
1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds
The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;
[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]
The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes
[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]
[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]
The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix
Therefore;
Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.
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Sasha drinks 2.5 liters of water each
weekday. She drinks a total of 3 liters of
water on the weekend. What is the total
volume of water, in milliliters, Sasha drinks
each week?
Answer:
17000
Step-by-step explanation:
2.5
.5
11.0
3*2=6
11
+6
17
In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down
Answer:
B. Up
Step-by-step explanation:
If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.
Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.
Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.
The answer to your question is UP.
find x .....merry Christmas :)))
The value of x in the triangle is 70°
What is a scalene triangle?A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°
i.e
[tex]\mathbf{\hat x + \hat y + \hat z = 180 ^0}[/tex]
Let's assume that angle y = 60° and angle z = 50°Then;
[tex]\mathbf{\hat x + 60^0 + 50^0 =180^0}[/tex]
x + 110° =180°
x = 180° - 110°
x = 70°
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which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
PLS SOMEONE HELP I WILL GIVE U 28 POINT
Answer:
z=37
x=105
y=68?
Step-by-step explanation:
Leave a brainliest if this helped!
A football team had 55 players at the start of the season
Hello i need help with this one its only one.
Answer:
y=8 x+2
Step-by-step explanation:
Neika is saving her money to buy a DVD that costs $45. If she has a job that pays $8 per hour, write and solve an inequality that shows the minimum number of hours that Neika will need to work in order to pay for the DVD.
Answer:
8x6=48 so in 6 hours she will have enough money to buy it
Step-by-step explanation:
6 hours will give her 48 dollars if the dvd costs 45 so she will have to work 6 hours
what is the set of all the output values in a function called?
Answer:
Set Y I’m pretty sure
Step-by-step explanation:
Which pairs of angles are alternate interior angles? Select all that apply.
There are two vertical parallel lines and a transversal. The angle formed by the transversal on the left of the first vertical line are labeled as 1, and 2, and the angle formed by the transversal on the right of the first vertical line are labeled as 3 and 4. The angle formed by the transversal on the left of the second vertical line are labeled as 5 and 6, and the angle formed by the transversal on the right of the second vertical line are labeled as 7 and 8.
Answer:
9 and 10 i dont know why they have us doing this confusing stuff
Step-by-step explanation:
MARKING BRAINLIEST PLEASE HELP
A tortoise moves at a speed of 22 inches in 7 seconds. What is its average speed in feet per hour?
The average speed in feet per hour will be;
⇒ 942.85 feet per hour
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Distance = 22 inches
Time = 7 seconds
Now,
Since, A tortoise moves at a speed of 22 inches in 7 seconds.
Hence, Distance = 22/12 feet
And, Time = 7 / 3600
Thus, The average speed = (22/12) / (7/3600)
= 22 × 3600 / 12 × 7
= 942.85 feet per hour
Therefore, The average speed in feet per hour will be;
⇒ 942.85 feet per hour
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The diagram shows the floor of a living room. What area of carpet will be needed to cover the floor? Remember to include your units of measure.
By using the given diagram, we want to find the area of carpet needed to cover the floor. We will see that we need 188 ft^2 of carpet to cover the floor.
First, remember that for a rectangle of length L and width W, the area is given as:
[tex]A = W*L[/tex]
Now, if we look at the diagram we can see that the area of the carpet is equivalent to the area of a rectangle of 18ft by 14ft minus the area of two rectangles of 8ft by 4ft.
The area of the first rectangle is:
[tex]A = 18ft*14ft = 252 ft^2[/tex]
The area of each one of the smaller ones is:
[tex]A' = 8ft*4ft = 32 ft^2[/tex]
Then the area that we need for the carpet is:
[tex]A - 2*A' = 252 ft^2 - 2*32 ft^2 = 188 ft^2[/tex]
We need 188ft^2 of carpet to cover the floor.
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Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives. Number of Hours vs. Amount Left in Tank Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0 Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank? g = 18 â€" 2h; 18 gallons g = 18 â€" 2h; 16 gallons g = 3h 3; 30 gallons g = 3h 3; 12 gallons.
The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.
Given :
The table below shows the amount of gas left in her tank as she drives.Number of Hours Spent Driving (h) 3 5 7 9 Amount of Gas Left in Tank, in gallons (g) 12 8 4 0The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:
Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.
[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]
Step 3 - Simplify the above equation.
[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]
Step 4 - Now, substitute the value of (h = 0) in the above equation.
[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]
Therefore, the correct option is A).
For more information, refer to the link given below:
https://brainly.com/question/11897796
Answer:
g = 18 – 2h; 18 gallons
Step-by-step explanation:
The answer above is correct.
What is mAngleMHJ? 35 50 72.5 92.5
Answer:
Do you have any picture?
Answer:
50
Step-by-step explanation:
B.
a farm is sold for $457000, which gives a profit of 19%. Find the profit
The answer sheet says it is $73,000
Answer: its 73,000
Step-by-step explanation: the answer sheet has the answers...
Here you go. 29-28+28+11-11=?
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
29-28=1
1+28=29
29+11=40
40-11=29
Thank you for this challenge that was half the challenge of a challenge........
Better hope you stay up long enough to see the animatronics. :)
help please I'm stuck on this question
Answer:
120 yd²
Step-by-step explanation:
The floor consists of a square and a triangle
area of square = 10² = 100 yd²
area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4 and h = 10 , then
area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²
company needs 100 + 20 = 120 yd²
Given that 2x - 45=7y and 3x=15, what is the value of y+2?
-
Answer:
the value of y+2 is 21+2=24y
Which situation results in a zero balance?
A Jenny uses her credit card to buy a $1,400 refrigerator and then makes a payment of
$1,400 to her credit card company.
B Pedro deposits $2,346 into a new checking account and then writes a check for $346.
C Eliza spends $150 on supplies for her business and then spends $150 in rent.
D Juanita earns $75 from her job and receives $75 from her sister.
Answer:
A
Step-by-step explanation:
0 - 1400 = -1400 + 1400 = 0
45/100 in its simplest form
Answer:
9/20
Step-by-step explanation:
5×9=45
5×20=100
we need to convert it in lowest term by dividing it..
what label would not be appropriate for volume
help pls, i will give brainliest :)
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
25
Step-by-step explanation:
20^2 + 15^ = c^2
400 + 225 = c^2
625 = c^2
25 = c
Answer: The length of the ladder is 25 feet.
math #lollololollollol
Answer:
the answer is 2
Step-by-step explanation:
QUESTION
[tex] {45}^{4} + {72}^{3} [/tex]
note: bye, i'm go back to Indonesian server. my rank in Indonesian server is ace. si hebat=ace
Step by step explanation:
4100625+373248
so the answer is;
4473873
answer in Alternative Form
4.473873x10⁶
trust my answer and liked and make it brainliest please
Mr. Johnson is purchasing chicken for a family
BBQ. He purchases 7.8 pounds of chicken that costs
$3.60 per pound. How much change should Mr.
Johnson receive if he gives the cashier a $50 bill?