Answer:
235.3$ for part a
The amount in the account on April first of the following year is $3799.358 and the compound interest is $179.358.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
(a) The amount in a compound interest can be found as,
A = P(1 + [tex]\frac{r}{n}[/tex]) ^(nt)
where A is the final amount, P is the initial or principal amount, r is the interest rate, n is the number of times compounding occurs in a year and t is the number of years.
Given P = $3,620, r = 6.5% = 0.065, t = 9 months = 0.75 year
n = 4 (since compounded quarterly)
A = 3620 (1 + [tex]\frac{0.065}{4}[/tex]) ^(4 × 0.75)
= 3620 (1.01625)³
= 3799.358
(b) Compound Interest = Final amount - Initial amount
= 3799.358 - 3,620
= $179.358
Hence the compound interest is $179.358.
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Help plz!
The Corresponding Angles Conjecture states that if two
parallel lines are cut by a transversal, the corresponding
angles are congruent. The picture below shows this
relationship
Answer:
B
Step-by-step explanation:
Corresponding angles form a sideways U when you connect the angles.
b is the only one that does that.
1 and 4 are consecutive angles.
1 and 3 are vertical angles
4 and 3 are linear pair angles.
WHat is the answer to number 2
Answer:
My best guess C im pretty sure.
Is this a function ? :)
Answer:
yes
Step-by-step explanation:
Hey There!
So if you didn't know in order for it to be a function none of the x values can repeat
In the given relation none of the x values repeat, or each input has a different output therefore it is a function
If a =3, b = 2 and c = 5, solve the following algebraic expressions: (3 marks)
a) 3c + 5 - b
b) b(4 - 2) + c
c) 4a - (2c)
Answer:
A) 18
B)9
C)-2
Step-by-step explanation:
Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.
what is the product of 3/7 and 3/8?
Answer:
9/56
Step-by-step explanation:
..................
A Y U D E N P O R F A :(
Answer:
x=2
Step-by-step explanation:
Primero, necesitamos calcular <<a>>
Sabemos que AD=BC y AB=CD porque lados opuestos congruentes
Entonces, vamos a calcular <<a>>.
Usamos AD y BC
2a-1=4a-15
suma 15 a ambos lados
2a+14=4
añada 2 en ambos lados
14=2a
divida
7=a
Ahora, usamos esta información para calcular <<x>>
Usamos CD=AB
2a-8=4x-2
pero sabemos que <<a>> es 7
entonces:
14-8=4x-2
6=4x-2
8=4x
2=x
<<x>> es 2
(¡lo siento mi español no es perfecto!
In a exam 90% students passed.if 15 students failed,find the number of students appeared in the examination?
Answer:
150
Step-by-step explanation:
10%=15
100%=150
15 x 10=150
to check find 90% of 150 which is 135
150-135=15
please help! this is a huge chunk of my grade!!
Answer:
r=8Step-by-step explanation:
3r+4+8r-2 = 90
11r +2 = 90
11r= 88
r= 8(Help pls) When ayden mom drives to the gas station is the level in her gas tank increasing,decreasing,constant.
Answer:
Decreasing
Step-by-step explanation:
It is decreasing because it is being used.
Have a good day!!
Pls help me!!!! I don't know how to do these.
Answer:
12) Option 3
13) Option 2
Step-by-step explanation:
SnackTime Foods produced 24,200,000 grams of popcorn last year, which was placed in 11-
gram bags. How many bags did the company fill?
bags
Hurry and plsssss
Answer:
2,200,000 :) give brainliest
Step-by-step explanation:
Which is the graph of y= 2x-3?
Answer:
(A:
Step-by-step explanation:
EXAMPLE:
in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2
the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower
hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)
MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D
I really need help with a thing for math if yall can help I would appreciate it. If yall know this comment down below and tell me the answer
Answer:
27
Step-by-step explanation:
3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve
3/5 is 3 divided by and "of" is basically multiply by 45
3/5*45
.6*45
27
The area of a rectangle is 48x®y7
square yards. If the length of the
rectangle is 6x2y4 yards, which
expression represents the width of the
rectangle in yards?
A. 42x4y3
B. 42x6y3
C. 8x4y3
D. 8x6y3
Answer:
D
Step-by-step explanation:
Remember, area equals width x height so you can set up this equation.
[tex]48x^8y^7=6x^2y^4 * w[/tex]
Solving for w,
[tex]\frac{48x^8y^7}{6x^2y^4} =w[/tex]
Simplifying,
[tex]8x^6y^3[/tex]
Thus, D is the answer
Will mark brainliest and give thirteen points explanation
Answer:
geyser =groundwater
glacier = freshwater
lake=freshwater
ocean=salt water
Step-by-step explanation:
Find f(5) for f(x)=1/4 (2)^x
f(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8
answer
A. 8
Camden is deciding between two parking garages. Garage A charges an initial fee of
$12 to park plus $4 per hour. Garage B charges an initial fee of $8 to park plus $5 per
hour. Let A represent the amount Garage A would charge if Camden parks for t
hours, and let B represent the amount Garage B would charge if Camden parks for t
hours. Write an equation for each situation, in terms of t, and determine the hours
parked, t, that would make the cost of each garage the same.
Answer:
4 hours
Step-by-step explanation:
A = 12 + 4t
B = 8 + 5t
12 + 4t = 8 + 5t
t = 4
The cost of each garage would be the same when Camden parked the car for 4 hours
Wich graph matches the equition x=5
Answer:
option 1
Step-by-step explanation:
do i need to?
The base of a triangular pyramid is 21 inches squared. The volume is 63 inches cubed. What is the height of the pyramid?
Answer:
9
Step-by-step explanation:
So the formula for a triangular pyramid is v=1/3bh
you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21
and then you check answers with
63=1/3(21)(9) which is true so the height is 9
Add: 2 2/3 + 3 1/12 PLEASE HURRY IM TIMED AND I WILL BE GROUNDED IF I FAIL BECAUSE I FAILED LAST TIME SO PLEASE HURRY AND HELP MEEEEE
Answer: 23/4 is you answer!!
Step-by-step explanation:
Answer: 5 3/4
Step-by-step explanation: I put them in the same denominator to add them
i don’t understand how to do this and i need help!!
Answer:
x = 26
Step-by-step explanation:
6x + 6x + (x-2) + (x-2) = 360
14x - 4 = 360
14x = 364
x = 26
6(26) = 156
(26 - 2) = 24
how 2 do?
(n)(n+7)(n+8)
Answer:
[tex]n^{3} + 15n^{2} + 56n[/tex]
Step-by-step explanation:
First FOIL (n + 7)(n + 8) and then distribute n
(n + 7)(n + 8) = [tex]n^{2} +15n + 56[/tex]
n ([tex]n^{2} +15n + 56[/tex])
= [tex]n^{3} + 15n^{2} + 56n[/tex]
Which of these is the best approximation of
5
to the nearest hundredth?
OA) 0.17
OB) 0.75
OC) 0.83
OD) 1.20
Answer:
oc)0.83
Step-by-step explanation:
have a good day!!!
Lydia is an architect. She has to design a courtyard garden inside a new hotel. On her blueprint, which is 1/20 the size of the actual garden, the width of the garden is 36 inches. What is the width of the actual garden?
Answer:
720 inches
Step-by-step explanation:
On her blueprint, which is 1/20 the size of the actual garden
the width of the garden is 36 inches.
What is the width of the actual garden?
Let width of the actual garden = x
1/20 of x = 36
1/20 * x = 36
x = 36 ÷ 1/20
x = 36 * 20/1
x = 720
x = 720 inches
The width of the actual garden = 720 inches
find the average rate of change, in simplest form, of the function over the interval 4\le x \le 74≤x≤7.
Answer:
[tex]Average\ Rate = \frac{104}{3}[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
Determine the average rate of change over: 4≤x≤7.
Average rate of change is calculated as:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a=4[/tex]
[tex]b = 7[/tex]
So:
[tex]Average\ Rate = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(4)}{7 - 4}[/tex]
[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]
From that table:
f(4) =
f(7) =
So:
[tex]Average\ Rate = \frac{f(7) - f(4)}{3}[/tex]
[tex]Average\ Rate = \frac{108-4}{3}[/tex]
[tex]Average\ Rate = \frac{104}{3}[/tex]
The cost of the circular carpet, $C, varies as the square of the radius,
r metres. If C = 200 when r= 2
Find the cost of the circular carpet when r= 3
Answer:
$450
Step-by-step explanation:
C = k[tex]r^{2}[/tex]
200 = k([tex]2^{2}[/tex]) = 4k
k = 50
C = 50[tex]r^{2}[/tex] = 50([tex]3^{2}[/tex]) = 50(9) = $450
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=53°, and QR = 17 feet. Find the length of PQ to the nearest tenth of a foot.
Answer:
21.2863≈21.3 feet
Step-by-step explanation:
Answer:
21.3
Step-by-step explanation:
find the surface area of the triangular prism
Answer:
608 ft²
Step-by-step explanation:
1) Find the area of the bases
[tex]A=\frac{1}{2} bh[/tex] where b is the base length and h is the height
Plug in b and h
[tex]A=\frac{1}{2} (12)(8)\\A=48[/tex]
Multiply the answer by 2 (because there are 2 bases)
A=96
Therefore, the area of the two bases is 96 ft².
2) Find the area of the two sides facing up
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=10*16\\A=160[/tex]
Multiply the answer by 2 (because there are 2 sides)
A=320
Therefore, the area of these two sides is 320 ft².
3) Find the area of the bottom side
[tex]A=lw[/tex] where l is the length and w is the width
Plug in l and w
[tex]A=12*16\\A=192[/tex]
Therefore, the area of this side is 192 ft².
4) Add all the areas together
96 ft² + 320 ft² + 192 ft²
= 608 ft²
Therefore, the surface area of the triangular prism is 608 ft².
I hope this helps!
Answer:
608
Step-by-step explanation:
first off you have to find the area of the base
the base is 16 by 12 feet.
so you multiply them and you get
16*12=192 you will have to come back later for this number
next, you find the two outsides of the triangular prism.
they are 10 by 16
10*16=160 and there are two of them so you double it and get 320
now save the 320 too with the 192
now we are going to find the triangles
the formula for an area of a triangle is A=1/2h*w
so we plug in the height which is 8 and the width which is 12
A=1/2(8)*(12)
Simplify
A=48 once again there are two of them so we double it to make it 96
now take all your saved numbers and add them all up
96+320+192
this should give you an answer of 608
hope this helps! have a nice day:)
someone plzz help me i don't know if its right I'm lost out of time
Answer:
12. 30
13. 3
Step-by-step explanation:
Gas from a local station costs $2.85 per gallon (in US dollars). Tara's car gets 13.4 kilometers to the liter.
About how much will it cost Tara to drive 640 kilometers if she buys the gas from that local gas station?
Answer:
$250.8
Step-by-step explanation:
13.4 = $2.85
13.4 x 15 = 111.0
111.0 = $42.75
111.0 x 6 = 666.0
666.0 - 26.0 = 640.0
$42.75 x 6 = $256.5
$2.85 x 2 = $5.07
$256.5 - $5.07 = $250.8
not gona lie this took forever lol
Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!
The total cost of 640 liters of gas is $35.91.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Gas from a local station costs $2.85 per gallon (in US dollars).
We know that, 1 gallon = 3.785 liters
Tara's car gets 13.4 kilometers to the liter.
Number of liters of gas = 640/13.4
= 47.76 liters
Number of gallons = 47.76/3.785
= 12.6 gallons
Total cost = 12.6×2.85
= $35.91
Therefore, the total cost of 640 liters of gas is $35.91.
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