You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You feel you can earn an APR of 10.5 percent compounded monthly and plan to save $485 per month until you reach your goal. How many years will it be until you reach your goal and enjoy your well-deserved vacation?
Answer:
41.8 years
Step-by-step explanation:
From
[tex]A = P(1+r/n)^{nt}[/tex]
A= 39000
r = 10.5%
P = $ 485
n=12
t = the unknown
t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]
t= 10.57 - 6.18/0.105
t= 41.8 years
sally picked 6 and 2-thirds pounds of apples. She used 1-half of the apples she picked to make pies. Question How many pounds of apples did Sally use to make pies? Move numbers to the boxes to show the answer.
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
We know that Sally picked 6 2/3 pounds of apples, which can be converted into an improper fraction: 20/3. Multiply 20/3 and 1/2. You will get 20/6, which is 3 1/3. Hope this helped :D
convert 300 seconds to minutes there are 60 seconds in 1 minute
Answer:
5 Minutes
Step-by-step explanation:
If you divide 300 by 60 you get 5.
Answer: 5 MINUTES
Step-by-step explanation:
Please help me out with my homework! This is super urgent! It's due in 18 minutes! Baranga lives in the city of Delmarville, North Carolina. She drives for 572 miles to Montgomery, Alabama. She drove for 22 hours. How long did she drive every hour?
Answer:
26 miles every hour
Step-by-step explanation:
she drove 572 miles for 22 hours
??????? for 1 hour
572/22= 26 miles per hour
Answer: 26 miles
We know that Baranga drove 572 miles in 22 hours. To find how much she drove every hour, we must divide.
Let m represent miles, and h represent hours.
m ÷ h = 26
Remember to always check your answer.
26 x h = m
Therefore, the answer is 26. Hope this helps you!
A rectangular table measures 3 feet by 4 feet. Andres rotates the the table a quarter-turn clockwise. What is the length in feet of the shorter side of the table after the rotation?
Answer:
3 ft
Step-by-step explanation:
Several English professors categorized the literary works from their
seminars by time period and length, as shown in the table. According to
the table, what percent of the literary works with 500 or more pages are
from the 19th century?
Answer:
358
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cost. The sandwich sells for $___. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.) Answer for Blank 1:
Answer: $ 3.57
Step-by-step explanation:
Given: Cost for each sandwich at the local deli shop = $2.55
They sell it at selling price = 140% of 2.55
[Replace 'of' by 'x " and '%' by [tex]\dfrac{1}{100}[/tex]]
[tex]=\dfrac{140}{100}\times 2.55\\\\=1.4\times2.55\\\\=\$3.57[/tex]
i.e. Selling price = $ 3.57
Hence, The sandwich sells for $3.57.
Answer:
3.57
Step-by-step explanation:
What is X? 3(4x−3)= -4+7
Step-by-step explanation:
[tex]3(4x - 3) = - 4 + 7[/tex]
Expand :
[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]
Simplify : Add values
[tex]12x - 9 = 3[/tex]
Collect like terms and simplify
[tex]12x = 3 + 9 \\ 12x = 12[/tex]
Divide both sides of the equation by 12
[tex] \frac{12x}{12} = \frac{12}{12} [/tex]
Simplify
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
Hope I helped :)
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On a certain Friday night, the local baseball stadium earned $867.50 in revenue from ticket sales on 310 tickets. Ticket prices are $3.00 for adults and $2.50 for children. How many adults attended the game on Friday?
Answer:
185
Step-by-step explanation:
Found by solving the system of equations:
3x+2.5y = 867.5
x+y = 310
At 7:00 AM the temperature in Wilton was -6 degrees. By 8:00am the temperature was 2 degrees. What is the difference in the temperature between 8:00am and 7:00am?
Answer:
8 degrees
Step-by-step explanation:
Your really just counting up from -6 to 2.
Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?
Answer:
6
Step-by-step explanation:
Given the following :
Number of sugar cookies = 42
Number of Oatmeal = 30
To package the cookies into identical containers so that each container has the same number of cookies with no left over ;
We find the greatest common factor of 42 and 30
Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42
Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30
The greatest common factor = 6
4x - 5y = 10 solve for y=mx+b
Katie went to buy a new tv and finds one for $550.00. In the state of Texas, there is a 6% sales tax on items. How much did Katie pay for the TV including the tax?
Answer:
583$
Step-by-step explanation:
6% is equal to 0.06, so you multiply 550 by 0.06. which equals 33. Then, because it asks for how much Katie played, including the tax and TV, you add 33 to 550.
Select all expressions that are equivalent to 6x+1−(3x−1). A. 6x+(-3x)+1+1 B. 3x+2 C. 6x−3x+1−1 D. 6x+1−3x−1 E. 6x+1+(-3x)−(-1)
Answer:
B. 3x+2
Step-by-step explanation:
What is the answer to 12/45x5+6
Answer: 24.75
Step-by-step explanation:
First you would do 45x4=225, then you would divide that by 12 which equals 18.75, then you would add 6 to the ones place which is 24.75
e-2=13 pls someone help me
Answer: E=15
Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15
Answer:
15
Step-by-step explanation:
to solve this you would need to add 13 and 2 since it's inverse operation of subtraction which would give you 15 since 15-2=13
What is 2/3 as a decimal
Answer:
[tex]. \frac{}{66} [/tex]
Answer:
0.66666667
Step-by-step explanation:
Yo can someone please help me.
Answer:
44670
Step-by-step explanation:
5.67*1000+3.9*10000
Which of the following is true about the expression c5+(−9c2)+40c+7d7e3−5c3+4d?
A. There are no negative coefficients.
B. The coefficient of the first term is 0.
C. The coefficient of the third term is c
D. The coefficient of the fourth term is 7.
Answer:
D. The coefficient of the fourth term is 7.
Step-by-step explanation:
Took the test got it right
The true statement about c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d is
D. The coefficient of the fourth term is 7.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression c⁵ + (- 9c²) + 40c + 7d7e³ - 5c³ + 4d.
There are negative coefficients - 9.
The coefficient of the first term is 1.
The coefficient of the third term is 40.
The coefficient of the fourth term is 7 is true.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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A bee travels at 24 km/h. At that rate, how many miles can it travel in a day?
What’s the 4 terms of the sequence defined by the rule f(n)=n+10
Answer:
f(4) = 14Step-by-step explanation:
f(n) = n + 10
f(4) = 4 + 10 = 14
Simplifying Expressions ,
John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants
Answer:
Cost of ties and pants = $52.5
Step-by-step explanation:
Total cost of ties = $19.99
cost of dress pants = $64, discountted by 30%
discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2
∴ Discounted price of dress pants = 64 - 19.2 = $44.8
Total cost of ties and dress pants = 19.99 + 44.8 = $64.79
Now, let us apply the coupon
coupon = $10 off every purchase of $50 or more
Purchase amount = $64.79 ; therefore coupon applies.
Applying coupon
Purchase amount = 64.79 - 10 = $54.79
sale tax = 6% or purchase price
sale tax = 6% × 54.79
sale tax = 0.06 × 54.79 = $3.29
∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5
In a school election, 34 of the students vote. There are 1464 ballots. Write and solve an equation to find the numbers of students.
An equation is __?__ =1464.
There are a __?__ total of students.
Answer:
1464*.34=amount of students
Step-by-step explanation:
(will give brainliest!!!)
In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
(no sin and cos pleasee)
(show work too)
9514 1404 393
Answer:
18 cm^2
Step-by-step explanation:
Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.
_____
A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.
AC = AB·cos(75°)
Area = (1/2)AB·AC·sin(75°)
Area = (1/2)(AB²)cos(75)sin(75°)
= (1/4)AB²·sin(150°) . . . using the double-angle identity
= (1/4)(12 cm)²(1/2)
Area = 18 cm²
__
The useful relations are ...
Cos = Adjacent/Hypotenuse
cos(75°) = AC/AB ⇒ AC = AB·cos(75°)
and ...
Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them
Area = (1/2)AB·AC·sin(75°)
Another identity we used here is ...
sin(2α) = 2sin(α)cos(α) ⇔ sin(α)cos(α) = (1/2)sin(2α)
Putting these together, the formula for area we used was effectively ...
A = (1/4)AB²sin(2·75°)
In the last ten games, Jamal made 7
9
of his free throws and Brian made 5
8
of his free throws. Which player has the better record? Explain.
Answer:
Jamal has the the better record
Answer:
This is the sample response from Edge
Step-by-step explanation:
Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.
6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .
Which best describes the function on the graph
Direct variation;k=2
Direct variation;k=1/2
Inverse variation;k=1/2
Inverse variation;k=2
Answer:
The right answer is d. inverse variation; k=2
Jon walked 8 miles in 3 hours. How far did he walk per hour?
Answer:
Im probably late but he walked 2.6 miles
Step-by-step explanation:
I will give brainlest if the answer is right Enter the missing numbers in the boxes to complete the table of equivalent ratios.
Answer:
2 , 10 , and 15 in order of missing spaces, up to down
Step-by-step explanation:
You find the ration 8/20 and find out if the ration is simplifiable and turn it to 2/5 which you multiply the rest of the answers too. Hope this answers your question :)