The table shows the relationship between y, the cost to rent a boat, and x, the mount of
time the boat is rented
Boat Rental Costs
Time,
Cost
(hours) (dollars)
1
32
5
104
Which grabest represents the relationship between x and y'shown in the table?
Boat Rental
Boat Rental
Answer: A
Step-by-step explanation:It shows the correct graph
How long will it take for an investment to triple, if interest is compounded continuously at 8%?
It will take years before the investment triples.
Answer:
It will take 14 years before the investment triples
Step-by-step explanation:
Continuous Compounding
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:
[tex]FV = PV\cdot e^{i.t}[/tex]
Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:
[tex]3PV = PV\cdot e^{i.t}[/tex]
Dividing by PV:
[tex]3 = e^{i.t}[/tex]
Taking logarithms:
[tex]\ln 3=i.t[/tex]
Solving for t:
[tex]\displaystyle t=\frac{\ln 3}{i}[/tex]
[tex]\displaystyle t=\frac{\ln 3}{0.08}[/tex]
t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
It will take 37.5 years before the investment triples.
The formula for calculating the future value is expressed as:
[tex]A =Pe^{rt}[/tex]
P is the principal
r is the rate (in %)
t is the time (in years)
If the investment tripled, then A = 3P. The equation will become:
[tex]3P=Pe^{rt}\\3=e^{rt}\\ln3 =lne^{rt}\\rt = 3\\0.08t =3\\t =\frac{3}{0.08} \\t =37.5 years[/tex]
Hence it will take 37.5 years before the investment triples.
Learn more here: https://brainly.com/question/18442810
help me for brainliest :p
Answer:
it is b
Step-by-step explanation:
when you divide exponents you subtract them. when you have parentheses you multiply the exponents. the one on the left is 6^13 and the one on the right is 6^8. 6^13 is more than 6^8.
need answer ASAP pls
Which is the independent variable in the graph of the U.S. population 1800-1900?
United States
straight lines
years
population
Answer: United States
Step-by-step explanation: Because threats the only independent variable the rest are dependent on others.
You invest $3,635 in an investment with annual rate of return 6%. How much will the investment be worth after 8 years?
Answer:
5,379.80
Step-by-step explanation:
you multiply $3,635 times .06, and you'll get $218.10. then you multiply $218.10 times 8. you will get $1,744.80. you then add your original amount of $3,635 and the final answer is $5,379.80
When using inverse operations, what should you do to solve x + 7 = 10
Answer:
10-7=3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
Since we are doing inverse, the opposite of adding is subtracting, so 10-7 is 3.
Write 3.0035 as a fraction.
Write the fraction as a mixed number (not an improper fraction). Make sure it is in simplest form.
The 3.0035 in the mixed number fraction should be [tex]3 \frac{7}{2000}[/tex]
Given that,
The given fraction is 3.0035 Calculation:[tex]= 3.0035\\\\= 30035 \div 10000\\\\= 6007 \div 2000 \\\\= 3 \frac{7}{2000}[/tex]
Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults
5+2(10-4) ask question?
Answer: It is 17
Step-by-step explanation:
5+2(10-4)
5+2(6)
5+12
17
Answer: 17
Step-by-step explanation: you just have to simplify
Alyssa had to read 110 pages over the weekend. By Saturday, she had completed 60 pages. What percent did she complete? Which proportion can be used to solve? *
60/110 = x/100
x/110 = 60/100
110/60 = x/100
Answer:
i believe the answer is c or 110/60=x/100
Step-by-step explanation:
The coordinates of both the pre-image and image of quadrilateral JKLM are listed in the table
below.
Which rule best represents this dilation?
A- (x, y) -> (4/11 x, 4/11 y)
B- (x,y) -> (3/22 x, 3/22 y)
C- (x, y) -> (11/4 x, 11/4 y)
D- (x, y) -> (22/3 x, 22/3 y )
Answer:
Option C.
Step-by-step explanation:
From the table attached,
Pre-image coordinates J(-8, 2) → Image coordinates J'(-22, 5.5)
J(-8, 2) → J'(-22, 5.5)
Since, rule for the dilation of a point is,
(x, y) → (kx, ky) [Here k = scale factor of dilation]
Therefore, kx = -22
k(-8) = -22
k = [tex]\frac{-22}{-8}[/tex]
k = 2.75
So the scale factor should be 2.75
From the given options,
Option A.
(x, y) → [tex]\frac{4}{11}(x, y)[/tex]
→ 0.36(x, y)
But value of k should be 0.36
Therefore, Incorrect option.
Option B.
(x, y) → [tex]\frac{3}{22}(x, y)[/tex]
→ 0.14(x, y)
k = 0.14
But the value of k should be 2.75
Incorrect option.
Option C.
(x, y) → [tex]\frac{11}{4}(x, y)[/tex]
→ 2.75(x, y)
k = 2.75
Therefore, this option is correct.
Option D.
(x, y) → [tex]\frac{22}{3}(x, y)[/tex]
→ 7.33(x, y)
k = 7.33
But the scale factor should be 7.33
Incorrect option.
Please please help me
Answer:
the answer is c. it’s commutative property
Step-by-step explanation:
12-(y•2) is the same as 12-(2•y) 2 and y are just flipped around. hope this helps!
5
Twenty sixth graders are going on a field trip. They will be
divided into 4 equal groups to take a tour. How many
students will be in each group?
Answer:
5 students per group
Step-by-step explanation:
20 ÷ 4 = 5 students
Answer:
5
Step-by-step explanation:
20/4=5
what's the answer plz
Answer:
x ≥ 33
Step-by-step explanation:
Answer: the answer is 33
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. If you buy five of the XYZ bonds with $8 commission for each, how much will it cost? a. $5025 b. $5065 c. $1005 d. $1045
Answer:
Answer is B. 5065
Step-by-step explanation:
Edge says so
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the XYZ bond on the previous day?
Edge says its C. 100 1/4
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment.
What was the price of the ABC bond on the previous day?
Edge says its D. 104 3/4
Answer:B
Step-by-step explanation:
When using inverse operations, what should you do to solve y - 7 = 10?
Answer:
17
Step-by-step explanation:
There is a SUBTRACTION symbol in the problem. So, you will do the opposite, & ADD the 2 available numbers in the equation. 10+7=17
When you replace that y with 17, the equation is correct.
Use the data below to determine how many days of class a student missed if he or she has a quarter grade of 40%.
Question 3 options:
A.7 days
B.4 days
C.9 days
D.1 day
Answer:7 days
Step-by-step explanation:
The table below shows the total cost for purchasing a certain number of equally-priced concert tickets
Write an equation to describe the relationship between t, the number of tickets, and c, the total cost of tickets.
Answer:
c=55t
Step-by-step explanation:
Your answer will be c=55t
debby collected eight times as many bags of cans as her friend .if her friend collected two thirds of a bag. how many bags did debby collect
Answer:
5 1/3
Step-by-step explanation:
I caculated 2/3 times 8
An estate of $485,000 is left to three siblings. The eldest receives 3 times as much as the youngest. The middle sibling receives $13,000 more than the youngest. How much did each receive?
Answer:
Step-by-step explanation:
the youngest received 94,200
the middle received 107,200
the eldest received 283,600
Step-by-step explanation:
Given parameters:
Worth of the estate = $485000
Unknown:
Amount received by each sibling = ?
Solution:
Let the amount received the eldest = e
middle = m
youngest = y
e = 3y
m = y + 13000
so;
e + m + y = 485000
3y + y + 13000 + y = 485000
5y = 485000 - 13000
5y = 472000
y = $94400
Eldest = 3y = 3 x 94400 = $283200
Middle = $94400 + $13000 = $107400
Youngest = $94400
A school bus uses 3/4 of a tank to drive back and fourth to school in a week with 5 school days. How much gas does the bus use to drive back and fourth to school in a week with 4 school days?
Answer:
3/5 of a tank
Step-by-step explanation:
You can use a proportion.
3/4 tank is to 5 days as x is to 4 days
(3/4)/5 = x/4
Cross multiply.
5x = 3/4 * 4
5x = 3
x = 3/5
Answer: 3/5 of a tank
Step-by-step explanation:
17 gallons of gas drive back and fourth
Connor and Maria are doing yard work for a neighbor. They make a total of $596.58. Since Maria works more hours than Connor, Maria gets 59% of the money. About how much (in whole dollars) does Maria make?
Maria makes about:
$300
$310
$240
$360
$410
$420
Answer:
360
Step-by-step explanation:
but 350 more accurately
Gven f(x) = -5x+9 If F(x)=-89. find x
Answer:
19.6 = X
Step-by-step explanation:
Plug in -89 for F(x)
Then just solve.
Get that 100.
7,574 divided 5 if u get it right ur my best friend i will give v go to https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526 https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526https://brainly.com/app/ask?entry=similar&q=7%2C574+divided+5+if+u+get+it+right+ur+my+best+friend&skip=19641526
Answer:
1514.8
Step-by-step explanation:
Answer:
1,514.8
Step-by-step explanation:
x/-4 = -1.1
I’m bad at one step equations so thank you if you help <3
x/-4 = -1.1
=> x = -1.1 × -4
=> x = 4.4
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
Answer:
36
Step-by-step explanation:
In a Parallelogram , it is important to note that opposite sides are equal to each other.
We are given parallelogram ABCD.
We have sides: AB, BC, CD, AD.
Since opposite sides are equal then:
AB = CD
BC = AD
The perimeter of a parallelogram is the sum of all its sides.
In the question: BC=13 and AB=5
Hence,
AB = CD = 5
BC = AD = 13
Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13
= 36.
The graph of y = sin(x + 4) compared to the graph of
y = sin x has moved:
Yessss The answer is:
The graph of y = sin(x + 4) compared to the graph of
y = sin x has moved: It will be more voilentary and smaller but more larger with the aixs (x,y)
A recipe calls for “18 ounces of cream cheese with 15 ounces of sugar” How many ounces of sugar are there per ounce of cream cheese?
Answer:
1.2
Step-by-step explanation:
18 divided by 15 equals 1.2
Which linear inequality and its solution set is represented by the graph?
Answer:
im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
Right now, Kate is 4 times as old as Tim. In four years, Katie will be 2 times as old as
Tim How old is each of them right now? How old will they be in four years?
Answer:
wth kinda question is this well how old is tim they could be 15 or 30 we don't clarify for us
Step-by-step explanation:
get smarter for asking question
Answer:
ya what the guy said above me
Step-by-step explanation:
I need help ASAP ! Nd plz help me how to show work
Answer:
x = -3
Step-by-step explanation:
y = -x + 2
7x + 4y = -1
Subsitution method: (Substitute y)
7x + 4(-x+2) = -1
Expand.
7x + (-4x + 8) = -1
One plus and one minus make one minus. Two plus makes a plus.
7x -4x + 8 = -1
Simplify.
3x + 8 = -1
Isolate 3x.
3x = -1-8
= -9
Find x.
x = -9 ÷ 3
= -3