Answer:
14 + 5x = 39
Step-by-step explanation:
first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).
Susan invests $Z at the end of each year for seven years at an annual effective interest rate of 5%. The interest credited at the end of each year is reinvested at an annual effective rate of 6%. The accumulated value at the end of seven years is $X. Lori invests $Z at the end of each year for 14 years at an annual effective interest rate of 2.5%. The interest credited at the end of each year is reinvested at an annual effective rate of 3%. The accumulated value at the end of 14 years is $Y.
Required:
Calculate Y/X.
Answer:
2.02955
Step-by-step explanation:
Given that:
Susan invests $Z as each year ends for seven years.
So we assume that Z = 1
Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.
The cashflow interest:
The cashflow of Susan interest payments are:
Payments Time
0 1
0.05 2
2(0.05) 3
3(0.05) 4
4(0.05) 5
5(0.05) 6
6(0.05) 7
The accumulated value of this cash flow is:
[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]
So Susan accumulated values is:
X = 7 + 1.1653
X = 8.1653
Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.
The cashflow of Lori interest payments are;
Payments 0 0.025 2(0.025) 3(0.025) ......... 13(0.025)
Time 1 2 3 4 .......... 14
The accumulated value of cash flow is:
[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]
Now, Lori's accumulated value is:
Y = 14 + 2.5719
Y = 16.5719
Since; Susan value X = 8.1653
Lori's value Y = 16.5719
∴
[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]
= 2.02955
Someone please help me!!! I’m stuck and need help!
Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.
[tex] \frac{6}{8} [/tex]
This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).
[tex] \frac{3}{4} x + x = 21[/tex]
[tex]1.75x = 21[/tex]
x=12.
Side ST is 12
which is greater 0.98 or 0.980
Answer:
They are equal.
Step-by-step explanation:
Answer:
both are equal its just a zero added
If an outfit consists of one shirt, one pair of jeans, and one pair of shoes, how many outfits can be made from five pairs of jeans, six shirts, and two pairs of shoes?
Answer:
2
Step-by-step explanation:
One outfit consists of one shirt, one pair of shoes, and one pair of jeans. In this problem, there are five jeans, six shirts, but only two pairs of shoes, which only makes two complete outfits.
If you had the above number of shirts, jeans, and shoes, the number of possible outfits you can make is 60 outfits.
An outfit requires only one each of a shirt, a pair of jeans and a pair of shoes.
If you have six shirts, five pairs of jeans, and two pairs of shoes, the number of outfits you can make using on of each is:
= Number of shirts x Number of jeans x Number of shoes
= 6 x 5 x 2
= 60 outfits
In conclusion, you can make 60 outfits.
Find out more at https://brainly.com/question/7295418.
There are 30 marbles in a bag. There are 10 red marbles, 7 green, 6 blue, and 7 yellow. If you randomly grab a single marble, what are the odds of grabbing a yellow?
Answer:
Step-by-step explanation:
The odds of grabbing a yellow marble from the bag are 7/30 or 0.233.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odds of grabbing a yellow marble can be find by dividing the number of yellow marbles by the total number of marbles in the bag:
Odds of grabbing a yellow marble = Number of yellow marbles / Total number of marbles
By given there are 7 yellow marbles and a total of 30 marbles in the bag, so:
Odds of grabbing a yellow marble = 7 / 30.
Therefore, the odds of grabbing a yellow marble from the bag are 7/30 or approximately 0.233 or 23.3%.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
What is the correct answer for this question?
Answer:
3 2/3 inches (the last one)
Answer:
[tex]maybe \: letter \: a[/tex]
A=bh, find A when b=93 and h=69 A=
Answer:
A= 6417
Step-by-step explanation:
A = bh
b = 93
h = 69
A = 93*69
Maria cut a rectangular piece of fabric. The area was 8/10 of a meter. The width was 6/10 of a meter. What was the length of the fabric?
Answer:
its A
Step-by-step explanation:
If ∠C and ∠D are complementary angles, m∠C = (4x + 3)°, find m∠D = (15x - 8)°, find m∠D.
Answer:
67
Step-by-step explanation:
4x+3+15x-8=90(complementary angle)
x=5
now D = 15*5-8
d=67
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?
Answer: 3084
Step-by-step explanation: 14•17=238 238•13=3084
Answer:
3094
Step-by-step explanation:
l=13 w=17 h=14
v = L W H
V= ( 13 ) ( 17 ) ( 14 )
V= 3094 meters 3
Your Solution:
V= 3094
Mr. Lopez was taking a drive to the mountains with his family they arrived at the mountains at 3:09 PM if the drive was two hours and 36 minutes long what time do Mr. Lopez family leave 
Answer:
they left at 12:34
Step-by-step explanation:
I did the math
9514 1404 393
Answer:
12:33 pm
Step-by-step explanation:
Often, problems involving addition and subtraction of time values are best worked in 24-hour "military" time.
Here, we want to know the time that is 2:36 before 3:09 pm. We can write 3:09 pm as 15:09. Then the difference is ...
starting time + travel time = ending time
starting time = ending time - travel time
starting time = 15:09 -2:36 = (15-2):(09-36) = 13:(-27) = 12:33
Mr Lopez's family left at 12:33 PM.
__
There are 60 minutes in an hour. 60-27=33.
8. Carol and Curtis are running a half mile race. Curtis finished the race in 11 minutes and 8
seconds. Carol completed the race in 9 minutes and 3 seconds. What is the difference
between their average speed per mile?
Answer:
Step-by-step explanation:
curtis is 22 min 16 sec carol is 18 min 6 sec
4 mins and 10 seconds it the difference
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter: 4 x 2 x π = 8π
LA = 8π x 6 = 48π
Base area = 4^2π = 16π
SA = 16π x 2 + 48π = 80π
V= 16π x 6 = 96π
Lynda was a horrible waitress. She spilled a drink on you and she brought you the wrong food. The bill came to $56.35 so you left her $3. What was the percent of tip you left her?
Answer:
5.32 percent of the tip
Will you please help me with my math?
Answer:
isn't it just 4?
Step-by-step explanation:
according to the table it's just asking you to name what is with x of f(x). I might be wrong though
Work out the size of angle x
Answer:
65°
Step-by-step explanation:
1. 4 less than q
2. The product of 5 and x, reduced by 3
Guys please help me I need this note to pass 6th grade
If f(x) = 4x + 2, what is the value of f(3)?
O 8
O 14
O 45
O 66
Answer:
14
Step-by-step explanation:
Six eggs sat in a basket overnight. A fox
came and took an unknown amount, and
a raccoon came and took an unknown
amount. In the morning, there were only
two eggs left. Write an equation showing
how six eggs were reduced to two eggs.
Use 'f for the number the fox took and 'r
for the number the raccoon took.
Answer:
6 - F - R = 2
Step-by-step explanation:
Since six eggs sat in a basket overnight, and a fox came and took an unknown amount, and a raccoon came and took an unknown amount, with which in the morning there were only two eggs left, to write an equation showing how six eggs were reduced to two eggs the following reasoning must be raised:
6 = Starting number
F = Eggs stolen by the fox
R = Eggs stolen by the raccoon
6 - F - R = 2
32
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Lett
represent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6.
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answer:
I believe it would be 4 seconds
Step-by-step explanation:
PLATO/Edmentum
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6h(t) 24 48 24 0 24 48 24The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
[tex]f(48)=t_{up}\\f(48)=1[/tex]
The time it takes to reach downward after going upward is,
[tex]f(0)=t_{down}\\f(0)=3[/tex]
Coming back to initial potion,
[tex]f(24)=t_{i}\\f(24)=4[/tex]
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
What is the present value for $12,484 at 8% for two years
Answer:
Total = Principal * (1 + rate)^2
Total = 12,484 * (1.08)^2
Total = 14,561.34
Source http://www.1728.org/compint.htm
Step-by-step explanation:
Four adult alligators weigh 1,812 kilograms. If each alligator weighs the same, how many kilograms does one alligator weigh?
A park is in the shape of an isosceles triangle with a base of 56 feet. The perimeter of the park is 190 feet. How long is each of the equal sides of the park?
9514 1404 393
Answer:
67 feet
Step-by-step explanation:
The perimeter is the sum of the base length and the two equal sides (s).
190 = 56 +2s
134 = 2s . . . . . . subtract 56
67 = s . . . . . . . . divide by 2
Each of the equal sides is 67 feet long.
A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with
the ground of 66°. How far out from the building does the base of the ladder need to be positioned?
Round your answer to the nearest tenth.
The base of the ladder needs to be feet away from the wall.
Answer:
6.7 ftStep-by-step explanation:
Given:
Vertical distance = 15 ftHorizontal distance = xAngle with ground = 66°Use tangent to solve:
tan 66° = 15/xx = 15 / tan 66°x = 6.7 ft (rounded)Answer:
Solution given:
In right angled triangle ABC
relationship between perpendicular and base is given by tan angle
tan66°=15/AB
AB=15/tan66°=6.678 ft is your answer.
Hilbert’s hotel has rooms numbered 1, 2, 3, 4, 5, . . . – one room for each positive integer. Guests are sometimes asked to move rooms, but never more than once a day. Guests are never asked to share a room with anyone else, and guests are never turned away. Guests often arrive to Hilbert’s hotel in one of his special buses. Each bus holds passengers numbered 1, 2, 3, 4, 5, . . . – one passenger for each positive integer. 1. Our story opens with Hilbert’s hotel empty. A bus full of guests arrive at Hilbert’s hotel. (a) How can Hilbert assign people to rooms?
Answer:
For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it
Step-by-step explanation:
Given that the Hotel is empty and every passenger stands for each positive integer and each number of room represents positive numbers as well
Hilbert can assign people to rooms by using a plot of first come first serve
i.e. For every even numbered room an even numbered guest is assigned to it and for every odd numbered room an odd numbered guest is assigned to it
The Chandlers are moving across the country. Mr. Chandler leaves 4.5 hours before Mrs. Chandler. If he averages 60 mph and she averages 85 mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?
Answer:
3
Step-by-step explanation:
9514 1404 393
Answer:
10.8 hours
Step-by-step explanation:
Mr. Chandler has a head start of ...
(4.5 h)(60 mi/h) = 270 mi
Mrs. Chandler is closing the gap at the rate of ...
(85 mph) -(60 mph) = 25 mph
At that rate, she will close the 270 mile gap in ...
(270 mi)/(25 mi/h) = 10.8 h
It will take Mrs. Chandler 10.8 hours to catch up.
__
After 15.3 hours, Mr. Chandler will have driven 918 miles.
After 10.8 hours, Mrs. Chandler will have driven 918 miles.
3/12 is equivalent to 1/4 true/false
Answer:
True.
Step-by-step explanation:
You can use the cross-multiply rule.
The rule states that when you multiply the numerator of one fraction by the denominator of the second fraction, the products should be equal.
3/12 = 1/4
3 x 4 = 12
12 x 1 = 12
Therefore, 3/12 is equivalent (equal) to 1/4.
Yes the statement is true .
3/12 is equal 1/4
Here
Use cross-multiply rule.
The rule states that when you multiply the numerator of one fraction by the denominator of the second fraction, the products should be equal.
3/12 = 1/4
3 x 4 = 12
12 x 1 = 12
Therefore, 3/12 is equivalent to 1/4.
Know more about cross multiply,
https://brainly.com/question/28308012
#SPJ6
Destinee bought a tablet for $599 and enrolled in a data plan for $25
per month. The total amount y Destinee has paid towards the tablet after x months is found using an equation in the form y = mx + b.
What is the value of m and b?
A stack of books is 35 inches high. If each book is 1 3/4 inches thick, how many books are in the stack?
Answer:
20 books
Step-by-step explanation:
Height of stack = 35 inches
Thickness of one book [tex] =1\frac{3}{4} =\frac{7}{4}\: in [/tex]
No. of books
[tex] = 35 \div \frac{7}{4} \\ \\ = 35 \times \frac{4}{7} \\ \\ = 5 \times 4 \\ \\ = 20[/tex]
9. The ages of A and B are in the ratio 3:5. Four years later,
the sum of their ages is 48. Find their present age
Answer:
A = 15 B = 25 in four years 19+29 = 48
Step-by-step explanation:
age A and B ratio is 3 to 5
A+4 + B+4 = 48
A + B = 40
A/B = 3/5 A = 3B/5
A + B = 40
3B/5 + B = 40
3B + 5B = 200 multiple both sides by 5
8B = 200
B = 25
A = 3B/5
A = 3(25)/5
A = 15
Answer:
15
Step-by-step explanation: