The amount needed in the account is 182,713.25 dollars then the correct option is B.
What is a monthly payment?The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.
Then the formula of monthly payment (MP) will be
[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]
The formula can be written as
[tex]\rm P = MP \times \dfrac{(1+r)^n-1}{r(1+r)^n}\\[/tex]
You plan on supplementing your income. you would like to withdraw a semiannual salary of $6,951.20 from an account paying 1.75% interest, compounded semiannually.
The amount needed in the account is such that you can withdraw the needed amount at the end of each period for 15 years will be
MP = $6951.20
r = 0.00875
n = 30
Then we have
[tex]\rm P = 6951.20 \times \dfrac{(1+0.00875)^{30}-1}{0.00875(1+0.00875)^{30}}\\\\P = \$182713.25[/tex]
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9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm
Area of the prism
= (4x3)/2 x 5
= 30 cm^3
Answer each question about the following arithmetic series: 12 18 24 30 . . . 198 what is the explicit rule for the arithmetic sequence on which the series is based? an = (n – 1)
Answer:
12 6
then 32
and 3360
Step-by-step explanation:
The explicit formula is an= 12+ (n-1)6.
What is Arithmetic progression?Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.
Given:
12 18 24 30 . . . 198
a=12
d= 6
So, an= a + (n- 1)d
an= 12+ (n-1)6
Hence, the explicit formula is an= 12+ (n-1)6.
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Would the sum of the interior angles of a triangle in this type of geometry be different from those of triangle in Euclidean geometry? Explain.
Answer: Yes
Step-by-step explanation:
If a triangle was inscribed onto the surface of a sphere, the sum of its interior angles will not add up 180 degrees. This is actually a method in differential geometry to see if a surface is flat or curved; see if the angles up to 180 degrees. Now, it depends on how large the triangle is. If we were to draw a triangle on the surface of the earth with lets say a piece of chalk, the angles will appear to add up to 180 degrees. The larger amount of surface that the triangle covers, the larger deviation you will get from 180 degrees.
pls help ASAP first correct answer gets brainleist
Answer:
Perpendicular: AE and ED & ED and CD
Equal Lengths: AE and ED & AB and BC
Perpendicular: 4? if you count ED seperate for both of it's perp interactions
How many solutions are there for the system of equations shown on the graph?
A. No solution
B. One solution
C. Two solutions
D. Infinitely many solutions
15 POINTS !!!!!
Answer:
D
Step-by-step explanation:
D because they are on the same line and that would make them infinite
A bag contains 5 blue marbles, 2 green marbles, and 3 yellow marbles. What is the probability of choosing one green marble and then a yellow marble with replacement? 3/50 1/15 1/2 6/10
Answer:
Step-by-step explanation:
Total number of marbles = 5 + 2 + 3 = 10
Probability of choosing 1 green marble = 2/10
Probability of choosing 1 yellow marble = 3/10
Notice (and this is important) that the denominator didn't change. Why?
Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.
So what is the probability of P(green then yellow)?
P(green then yellow) = 3/10 * 2/10 = 6/100
Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.
Divide 2kg in
the ratio 5 : 3
Answer:
[tex] \frac{5}{4} kg \: \frac{3}{4} kg[/tex]
Step-by-step explanation:
Simplify 2kg
[tex] \frac{5}{4} kg[/tex]
,
[tex] \frac{3}{4} kg[/tex]
3/10 x8 write in simplest form
[tex]\dfrac 3{10} \times 8 \\\\\\=\dfrac{3 \times 8}{10}\\\\\\=\dfrac{3 \times 4 \times 2}{ 5\times 2}\\\\\\=\dfrac{12}5[/tex]
You have some money in your wallet. You don't know the exact amount, but you think you have 60 dollars give or take 15 dollars. What is the difference between the largest and smallest weight of oranges in kilograms you can buy, if oranges cost 5 dollars/kg.
Answer:
The least amount is 75 dollars.
The biggest amount is 125 dollars
Step-by-step explanation:
The absolute value function will help us determine a range of possible values since we do not know the exact amount of money.
Defining the function.
Let x be the exact amount of money in my pocket, we can define the equation
And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation. So we can write:
We have a difference inside an absolute value, since we know the difference must be either +25 or -25.
Solving for x
Using the definition of absolute value we have
So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is
Solving for x give us
If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition
Solving for x give us
So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.
Which fraction is the smallest?
A. 1/10
B. 1/4
C. 2/5
D. 2/9
Answer:
1/10 is smallest. With fractions, as the bottom number(denominator) gets bigger, the fraction is actually getting smaller.
do the earth moves around the sun ...................... or do you think the sun moves around the earth
Answer:
earth moves around the sun...duh we have science to prove it......
Step-by-step explanation:
Answer: the earth moves around the sun
Step-by-step explanation:
The most direct observational evidence for Earth's orbital motion is the apparent shift of nearby stars after six months, as the Earth moves from one side of its orbit to the other. Because of the large distance to even the nearest start, this parallax shift is too small to been seen without a telescope.
why do we need to xompute for the circumference?
Finding the circumference of an object is important in the following scenarios: Whether you want to buy a bra, trousers, or sweater, you need to know the distance around your waist or chest.
The line of best fit to model the data in the table is y = 5.2x – 0.4. a 2-column table with 5 rows. the first column is labeled x with entries 1, 2, 3, 4, 5. the second column is labeled y with entries 8, 13, 18, 23, 24. what is the residual for 5? –1.6 –0.6 0.6 1.6
From the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6
How to find the residual value for a given input output pair?Suppose the given input output pair be (x,y) (actual data point)
Then suppose the prediction be y' from the line of best fit for that input x.
Then the residual value will be calculated for that point as:
Residual value = Actual value - Predicted value
Residual = y - y'
Here, we're given the data as:
x y
1 8
2 13
3 18
4 23
5 24
The line of best fit for this data is [tex]y= 5.2x -0.4[/tex]
For x = 5, the real corresponding y value is 24, and the predicted value is:
[tex]5.2(5) -0.4 = 25.6[/tex]
Thus, the residual for x=5 is: y - y' = 24 - 25.6 = -1.6
Thus, from the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6
Learn more about residual here:
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Answer:
The answer is A: -1.6
Step-by-step explanation:
Doing the assignment on edge rn and got the question right
pleaseeeee helpppppp!!!!
Answer:
A
Step-by-step explanation:
Any time you see the x value being repeated, it is most likely not a function. Since the x value of 3 in the answer B is repeated and have different y values, it is not a fuction.
I have pp how meany incehes is it ? A(5in B(100in C(50in D(10000in
Answer:
Non of the Above
Step-by-step explanation:
You are an Alpha male its atleast 2500ft
PLS HELP 100 PTS
Which models represent the sum?
1.2 + 0.3
Select each correct answer.
Step-by-step explanation:
all models are correct other than the first model and the third model.
#1
One line of pink and 0.2 line of pink so 1.2 line of pink and 3 lines of purple
The expression is 1.2+3
False#2
One box of pink plus 2 lines so 1.2 3 lines of purple so 0.3Expression is 1.2+0.3
True#3
4lInes of green
False#4
True(Representation by number line)
#5
5lines of green
FalseFind the area of the rectangle.
Answer:
10
Step-by-step explanation:
To find the area you multiply the length times the width. 5 x 2 = 10.
Answer:
b^7
Step-by-step explanation:
when you multiply numbers that have powers, you add them instead of multiplying.
Crispin is packing his photography equipment for a trip around the world. Since he will be visiting many different climates and environments, he has to think carefully about what and how he packs. Do research online to find different products that will help you answer these questions:
What are some types of equipment he will need?
What will he need to protect, maintain, and clean his photography equipment?
Answer:
wait in comments.................
Answer:
From wheelie bags and hard shell cases, to duffel bags, backpacks, hybrid packs, and day backs, there is a huge amount of choices when it comes to travel luggage Step-by-step explanation:
trigonometric angles without a calculator
[tex]~~~~~~~\cos x = \dfrac{ \text{Base}}{\text{Hypotenuse}}\\ \\\\\implies \cos x= \dfrac{9}{18}\\\\\\\implies \cos x = \dfrac 12\\\\\\\implies x= \cos^{-1} \left( \dfrac 12\right)\\ \\ \\\implies x = 60^{\circ}[/tex]
How would I solve this?
Answer:
second one
s/(2πh) = r
Step-by-step explanation:
You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.
s=2πrh
Since they are all multiplied with r, you divide them all on both sides to send them to other side.
s/(2πh) = 2πrh/ (2πh)
cancel out right side and it leaves r alone.
s/(2πh) = r
While studying abroad, Donna wants to make 3 batches of her mother's enchilada recipe to feed her classmates. The recipe calls for 22 oz of cheese for each
batch. The local market sells cheese by the gram. Howmany grams of cheese should Donna buy?
Use 1 oz = 28 g and do not round any computations.
Answer:
1848 grams of cheese.
Step-by-step explanation:
1 oz = 28 g.
28 x 22 = 616 g
616 g x 3 = 1848 g
Donna should buy 1848 grams of cheese.
NO BOTS!! What’s The Answer of this math image?
Answer:
In part B the answer is 71.
Step-by-step explanation:
In the 3 lines the 2 uppermost and downer most lines look like they make up a 90 degree angle.. since the first one is 19 all we have to do is 90 - 19 which equals 71. Sorry I do not know the answer to part A :(
HELP PLS I'LL DO ANYTHING
Answer:
32/50 = 0.64 * 100 = 64%
Step-by-step explanation:
The row 'girls' represents the population of girls who answered the survey. There were 50 total, and 32 answered for brand A. 32/50 is the fraction representing the number of the total girls which answered brand A.
Answer:
Option A, 64%
Step-by-step explanation:
Step 1: Determine the percentage of girls that were surveyed that prefer Brand A cell phones
There are a total of 50 girl students and out of those 32 girls prefer Brand A cell phones. This means that 32/50 = 64% of all the girl students prefer a Brand A phone.
Answer: Option A, 64%
Solve the following:
-5²+10² / (2×(-5)×3)+3³
= -25+100 / (2×(-5)×3)+27
=-25+100 / -30+27
= 75/3
=25
help pls !! ♡
6. In the diagram of circle O, tangent PB is drawn as is secant PAC. We wish to prove the Secant/Tangent Length Theorem, i.e. PA·PC = PB2. (a) Explain why APAB is similar to APBC (i.e. explain which two angles pairs must be congruent and why). O® A P B (6) Set up a proportion involving PA, PB, and PC based on the similar triangles and rewrite it in product form. Draw the two similar triangles separately and in the same orientation to help. COMMON CORE GEOMETRY, UNIT #8 - CIRCLE GEOMETRY - LESSON #8 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018
The lines PC and PB are the secant and the tangent lines of the circle, while the proportion involving PA, PB, and PC is PA * PC = PB²
Why the triangles are similar triangles?The triangles are given as:
Δ PAB and Δ PBC
Both triangles have a common point at P.
This means that:
∠P ≅ ∠P --- reflexive property of congruent angles
Also, the angles at C and B are congruent:
This is represented as:
∠B ≅ ∠C
Both triangles have a common side length PB.
Hence, the triangles are similar by ASA similarity theorem
The proportion involving PA, PB, and PCThe similarity theorem in (a) is the ASA similarity theorem.
This means that:
PA : PB = PB : PC
Express as fraction
[tex]\frac{PA}{PB} = \frac{PB}{PC}[/tex]
Cross multiply the expressions
PA * PC = PB * PB
Evaluate the product
PA * PC = PB²
Hence, the proportion involving PA, PB, and PC is PA * PC = PB²
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I NEED HELP PLSSSSSS I HAVE NO TIME LEFT
Answer:
D
Step-by-step explanation:
The ratio of the width to the height would be 18:2, which simplifies to 9:1.
Find the sum of 150+143+136+…+(-102)+(-109) arithmetic series
Answer:
779
Step-by-step explanation:
Given Arithmetic series is: 150+143+136+…+(-102)+(-109)
Here,
First term (a) = 150
Common difference (d) = 143 - 150 = - 7
[tex]n^{th}\: term:\:a_n = -109[/tex]
The formula for [tex]n^{th}\: term[/tex] of an arithmetic series is given as:
[tex]a_n = a +(n-1)d[/tex]
Plugging the values of a, d and [tex]a_n[/tex] in the above formula, we will find the number of terms that exist from 150 to (-109)
[tex]-109 = 150+(n-1)(-7)[/tex]
[tex]\implies\: -109 -150=(n-1)(-7)[/tex]
[tex]\implies\: -259=(n-1)(-7)[/tex]
[tex]\implies\: \frac{-259}{-7}=(n-1)[/tex]
[tex]\implies\: 37=n-1[/tex]
[tex]\implies\: 37+1=n[/tex]
[tex]\implies\: n=38[/tex]
Thus, there are total 38 terms in the given Arithmetic series.
Now,
Sum of n terms of an arithmetic series is given by the formula: [tex]S_n=\frac{n}{2}(a +a_n)[/tex],
Plugging in the values, we find:
[tex]S_{38}=\frac{38}{2}[150 +(-109)][/tex]
[tex]\implies S_{38}=\frac{38}{2}[150 +(-109)][/tex]
[tex]\implies S_{38}=19[150 -109][/tex]
[tex]\implies S_{38}=19[41][/tex]
[tex]\implies S_{38}=779[/tex]
A box of chocolates contains five milk chocolates, three dark chocolates, and 8 white
chocolates. You randomly select and eat three chocolates. The first piece is milk
chocolate, the second is dark chocolate, and thethird is white chocolate.
What is the probability that this event happens?
Answer:
60/200
Step-by-step explanation:
credit to pawlossolomon
Find the surface area of the rectangular prism
Answer:
SA=lw+lh+hw to find the surface area.
190m²
I hope i helped u get the right answer
Step-by-step explanation:
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirt, including $3.99 shipping was $77.49 each shirt cost 12.25 there was no sales tax on this purchase. which equation could be used to find?
Answer:
12.25s + 3.99 = 77.49 would be your equation used to find the amount of shirts purchased.
When we solve the equation, we get 6 which is the quantity of shirts Gartland purchased.
Step-by-step explanation:
We know the shirts were 12.25 but we didnt know how much she pruchased leaving our shirts (s) unknown.
We added 3.99 for shipping and our total cost was 77.49
We do 12.25s + 3.99 (shipping) = 77.40 total cost