As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?
Answer:
$962.0
Step-by-step explanation:
The formula for amount is ;
[tex]A=P(1+\frac{r}n} )^{nt}[/tex]
where
A= amount at the end of the period= $2000
P=minimum amount necessary to fund the payments
r= annual interest rate = 5% = 0.05
n= number of compounding per year , 1
t= time period = 15 years
Applying the values to the formula as;
[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]
What is the logarithmic form of 12² = 144?
Answer:
log_(12(144))=2
Step-by-step explanation:
Answer:
[tex]log_{12}[/tex] 144 = 2
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
12² = 144 ← in index form
with b = 12, n = 2, x = 144, then
[tex]log_{12}[/tex] 144 = 2 ← in logarithmic form
I got 15, but apparently it isn’t the right answer. Help please!
During an airplanes ascent, the plane reaches a horizontal distance from the airport of 1 km and then 7 km. The plane ascends at a slope of 2/3. Find the vertical distance (y) in feet that the plane traveled during the indicated spots
Answer:
The vertical distance in feet that the plane traveled was 4 Km
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]
Operating:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]
Solving for y2-y1, we get the vertical distance traveled by the plane:
[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]
Thus, the vertical distance in feet that the plane traveled was 4 Km
what is the solution for X in the equation 4x - 3 + 5 = 2x + 7 - 8x
A. X = 2
B. X = -2
C. X = 1/2
D. X = -1/2
Answer:
C. X = 1/2
Step-by-step explanation:
4x - 3 + 5 = 2x + 7 - 8x
4x +2 = - 6x + 7
4x + 6x = 7 - 2
10x = 5
x = 1/2
Evaluate 5.5r8.35s when r12 and s4.
Answer:
32.6
Step-by-step explanation:
when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .
then you subtract them and that's how you'll get your answer
If I buy a sweatshirt for $30, and the sales tax is 7% in my state, how much will I pay for the sweatshirt, including the sales tax?
Answer:
$32.10
Step-by-step explanation:
If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:
30 x 1.07 = 32.1
Add the units, and you get $32.10
Hope this helps!
Answer: The answer is $32.10
Step-by-step explanation: i forgot to put my answer in the answers not comments
1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent show. Which function can be used to find the number of minutes the talent show lasted, not including intermissions?
Answer:
I think f(t)=1/4t
Step-by-step explanation:
Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
What is a function ?function is a relation from a set to another set provided that each element of first set is related to a unique element of another set .
Here given that total time is t minutes
And time of intermission is t/8 minutes
And there are total 2 intermissions
Hence function to find the number of minutes the talent show lasted, not including intermissions can be defined as
f(t)= total time - 2(time of intermission)
[tex]f(t) = t- 2\times \frac{t}{8}\\\\f(t)=t-\fract1}{4}\\\\f(t)=\frac{3t}{4}[/tex]
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
To learn more about functions visit : https://brainly.com/question/25638609
help please if you know the answer
Answer:D
Step-by-step explanation:
The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must have a different title, how many possible selections are there?
Answer:
Concept: Statistics
They will receive 5 booksThere are 23 titles There must be a different title each time.Hence there are 23 total selectionsAnswer:
u will try urself ......okay ...
...
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.
Plan A: Raise the price by $0.10 each week until the price reaches $12.00.
Plan B: Raise the price by 10 percent each week until the price reaches $12.00.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.
Plan D: Raise the price by $0.25 each week until the price reaches $12.00.
Which plan will result in the price of the feed reaching $12.00 fastest?
-plan A
-plan B
-plan C
-plan D
Answer: B is the fastest way
Step-by-step explanation: How to solve this is a bit hard
8*1.1^n =12, so : ln(8) +n*ln(1.1) = ln(12), then
n = (ln(12) - ln(8))/ln(1.1) (≈ means around)4.3 weeks.
Answer: ANSWER IS [B]
Step-by-step explanation:
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition? (3 points)
Group of answer choices
A. 2 + x + 3y
B. (2 + x) + 3y
C. 2x + (3 + y)
D. x + (2 + 3y)
Please guys help me. I am suck. I will give you the brainliest.❤❤
Answer:
Seventy two guestsStep-by-step explanation:
72 = 72×1
144 = 72×2
288 = 144×2 = 72×4
So each of 72 plates would have one cupcake, two apples and four chocolate bars.
{72 is the highest common factor for numbers 72, 144 snd 288}
What is the value of 3-(-2)
A.-5
B.-1
C.1
D.5
Answer:
5
Step-by-step explanation:
3-(-2)=5
Two negatives are a positive. So 3-(-2)=3+2. And 3+2 is 5.
Answer:
0
Step-by-step explanation:
-5 + -1 = -6
5 + 1 = 6
-6- 6 = 0
find x in the given triangle
9+(-1)=8 as a subtraction problem
Answer:
9 - 1 = 8
Step-by-step explanation:
We can simplify the equation by changing 9 +(-1) to 9 - 1, therefore making it a subtraction problem.
the perimeter of the figure.
15 ft
10 ft
Drawing not to scale
A.25ft
B.60ft
C.50ft
D.150ft
Answer:
C. 50ft
Step-by-step explanation:
Perimeter is the outside and in perimeter you add
The length is 15ft
The width is 10ft
There are 4 sides so you want to add the length and width 2 times
L = 15 + 15 = 30
W = 10 + 10 = 20
Then add it all together
30 + 20 = 50
Hope this helps dude
convert to logarithmic form. PLEASE help!!!! thank you!!! *will give brainliest*
Answer:
( B ) lng = 5
Step-by-step explanation:
Help!! Please and thank you
Answer:
110.9 cm³Step-by-step explanation:
[tex]V=\frac13\cdot A_b\cdot H[/tex]
[tex]A_b[/tex] - Base Area
H - Height of the pyramid
Base is regular triangle: [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]
The volume:
[tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]
Explain why 186,426 Is diviable by both 3 and 9
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A number is divisible by 9 if the sum of its digits is divisible by 9.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]
Thus 186,426 is divisible by 9 .
_________________________________
Also a number is divisible by 3 if the sum of its digits is divisible by 3.
Look :
[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]
Thus 186,426 is divisible by 3 .
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Solve the inequality
3n + 2 > 17
Answer:
n > 5
Step-by-step explanation:
Answer:
3n + 2 > 17
Step-by-step explanation:
3n + 2 > 17
-2 -2
3n > 15
÷3 ÷3
n > 5
Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?
Answer:
4.8
Step-by-step explanation:
The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
1/6
Step-by-step explanation:
1/2 divided by 3
it costs $42 for 7 staplers. what is the unit rate for the stapler?
Answer:
The answer is 6
Step-by-step explanation:
42 divided by 7=6
A line segment on a graph has endpoints of (-3,1) and (3,1). It is translated 5 units down
and then, reflected across the x-axis.
What are the endpoints after the series of transformations?
Answer:
(-3,4) (3,4)
Step-by-step explanation:
Down means you are dealing with the y value of the pair of points. It also means that you are going into negative territory.
(-3 ,1 -5) and (3, 1-5)
New point
(-3 , - 4) and (3,-4)
Now if you reflect this point across the x axis, you are still changing the y value. You will go from - 4 to + 4
(-3,4) (3,4) <<<<< answer
HELP ME 50 POINTS RN
Answer:
A
Step-by-step explanation:
Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds
(+8) + (+6) + (+2) =
Answer:
0
Step-by-step explanation:
Multiply − 1 by − 6 . − 8 +6 + 2
Add − 8 and 6 . − 2 + 2
Add − 2 and 2 .
0
Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes
Answer:
34
Step-by-step explanation:
Subtract and divide
The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.
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;
With company x, it cost 35 cents to connect and then 5 cents for each minute.
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Now,
Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.
Hence, The cost for n minutes with company x is,
⇒ 35 + 5n
And, With company y, it cost 15 cents to connect and the 4 cents for each minute.
Hence, The cost for n minutes with company y is,
⇒ 15 + 4n
Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)
= 35 + 5n - 15 - 4n
= (20 + n) cents
Learn more about the mathematical expression visit:
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Find
the
reciprocal
0f
0.65 to three
Significant
figurs
Answer:
100/ 56
Step-by-step explanation:
100/65 because 0.65 is a decimal number
hope it helps!
Answer:
100/65 because 0.65 is in decimal
Mateo’s aunt bought a share of Netflix stock many years ago.
The value of the stock increased by `80\%`.
Its value is now `\$270`.
What was the value of the Netflix stock when Mateo’s aunt bought it?
Answer:
150
Step-by-step explanation:
80+100=180
270/180=1.5
15*100=150
Answer:
150
Step-by-step explanation: