Answer:
[tex]a) A\simeq17204.28[/tex]
[tex]b) A\simeq29598.74[/tex]
[tex]c)A\simeq50922.51[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]
n = 4 (quarterly in a year)
a ) t = 5 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]
b) t = 10 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]
c) t = 15 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]
Answer:
Solution given;
principal [p]=$10000
rate[r]=11%
time[t]= 5 years
we have
compound amount quarterly =P(1+r/400)^4t
=$10000(1+11/400)^4×5=$17204.28431
Identify the volume and surface area of the sphere in terms of π.
The figure shows a sphere. The sphere has a radius of 9 centimeters.
V = 972π cm3; S = 324π cm2
V = 243π cm3; S = 324π cm2
V = 972π cm3; S = 162π cm2
V = 243π cm3; S = 162π cm2
Answer:
Volume is: 972 and Surface area is 324
Step-by-step explanation:
How to get the volume is 9^3
That is 729
Times 4/3
972.
The surface area is 4 times 9^2
324.
You dont use the pie.
The equation of the trend line is y = -0.36x + 12.6 use the equation to of the trend line to predict the wind chill for a wind speed of 51 mi/h round your answer to the nearest degree. The wind chill at 51 mi/h
Given:
The equation of the trend line is:
[tex]y=-0.36x+12.6[/tex]
In this equation y represents the wind chill and x represents the wind speed.
To find:
The wind chill at 51 mi/h.
Solution:
We have,
[tex]y=-0.36x+12.6[/tex]
Putting [tex]x=51[/tex], we get
[tex]y=-0.36(51)+12.6[/tex]
[tex]y=-18.36+12.6[/tex]
[tex]y=-5.76[/tex]
Round the answer to the nearest degree.
[tex]y\approx -6^\circ[/tex]
Therefore, the wind chill at wind speed 51 mi/h is -6°.
sam said the absoulute value of 14 is -14. Kai said the absolute value of 14 is 14. Who is correct. Explain
Answer:
Kai is right.
Step-by-step explanation:
Absolute Value is always positive.
Answer:
Kia is Right.
Step-by-step explanation:
14 always stay positive and when it is like -14, So -14 Is a negative number so just take out the negative sign and you well be all set.
HELP PLEASE
ILL MARK BRAINLIEST
Answer:
2.3
Step-by-step explanation:
did the math
Henri built a lantern in the shape of a square pyramid. He wants to cover the entire pyramid with fabric. How much fabric will he need?
A square pyramid with a base of 4 meters by 4 meters and triangular side heights of 3 meters.
16 meters squared
24 meters squared
36 meters squared
40 meters squared
ITS NOT 24
The amount of fabric Henri will need is 40 meters squared
The amount of fabric Henri will require is the surface area of the square pyramid.
What is the surface area of the square spyramid?The surface area of the square pyramid, A = area of square base, A' + area of 4 triangular sides
Area of square baseThe area of the square base is A' = L² where L = length of base = 4 m
So, A = L²
= (4 m)²
= 16 m²
Area of triangular sideThe area of the triangular side is A" = 1/2Lh where
L = length of base = 4 m and h = height of triangle = 3 mSo, A" = 1/2Lh
= 1/2 × 4 m × 3 m
= 1/2 × 12 m²
= 6 m²
Since there are 4 triangular sides, the area of the sides of the pyramid is
4A" = 4 × 6 m²
= 24 m²
Amount of fabric Henri will needSince the amount of fabric Henri will need is the surface area of the square pyramid,
So, The surface area of the square pyramid, A = A' + 4A"
= 16 m² + 24 m²
= 40 m²
So, the amount of fabric Henri will need is 40 meters squared
Learn more about surface area of square pyramid here:
https://brainly.com/question/22744289
#SPJ1
10x+24y=200
y=x+3
Pleas help me
Answer:
The answer should be x=3.76
Step-by-step explanation:
PLS HURRY I ONLY HAVE LIKE 5 MINUTES TO ANSWER THIS
Answer:answer what
Step-by-step explanation:
solve for p
p+23.7=41.13
Answer:
p=17.43
Step-by-step explanation:
To solve this I just subtracted
p=41.13-23.7
which is
p=17.43
I really need help! it’s due soon:)
Answer:
(5, 5), (7, 2), (3, 2)
Step-by-step explanation:
When reflecting a figure across the y-axis, the x value will be the opposite and the y value will remain the same
reflection across y-axis:
(x, y) ---> (-x, y)
Hope this helps!!
PLEASE HELP! I HAVE MY STAAR TEST TOMORROW!!!!
Answer:
152
Step-by-step explanation:
blue -- 8 x 2 = 16 x 2 = 32
green -- 8 x 6 = 48 x 2 = 96
red -- 6 x 2 = 12 x 2 = 24
96 + 24 + 32 = 152
A bag contains 5 blue marbles, 8 green marbles, and 11 red marbles. What is the probability of choosing a purple marble?
A. .208
B. .458
C. .667
D. 0
Answer:
0
Step-by-step explanation:
the bag has nothing purple marbles
Simplify: 2x2 – 1+ 4x2-5
Answer:
6x^2 - 6
Step-by-step explanation:
Hope this helps!!
find the volume of the cylinder
Step-by-step explanation:
8 volume
Which of the following are not equivalent? *
1/3 and 5/15
1/4 and 0.25
0.6 and 6%
1/2 and 50%
Best answer get brainliest. 5 stars and a heart
Please Help me with this question!! I have a time limit
The Garcia family drives 3/4 of the distance to their grandparent's house
in 3/4 hour.
How many hours will it take
to drive to their grandparent's house at the same rate?
a= 1
b=9/16
c=1 and 7/9
Answer:
a=1
Step-by-step explanation:
because 3/4 hour is 45 minute and it takes 4/4 distance to their grandparents hous ein 4/4 hour so 45÷3=15, 15×4=60 which is 1hour
The Answer is A: 1 hour
Step-by-step explanation:
since they can drive 3/4 the distance in 3/4 hours, they can also drive 1/2 the distance in 1/2 hours and so on. If they want to visit the grandparent's house, they need to drive 4/4 the distance which is equivalent to 1 so it will take 1 hour for them to go to the house at the same rate.
A Tip From Me To You:
sometimes the question tries to trick you to make you overthink it so don't overthink it, try to just solve it simply.
Have a great day! <3
Which of the following is the solution to the inequality below?
-3/2(x-1/3)> -5x
A. x> -3/35
B. x>2/21
C. x< 2/21
D. x< -3/35
Answer:1/3
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
3/2*(x-1/3)-(-5*x)>0
Step by step solution :
STEP
1
:
1
Simplify —
3
Equation at the end of step
1
:
3 1
(— • (x - —)) - -5x > 0
2 3
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
x x • 3
x = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 - (1) 3x - 1
——————————— = ——————
3 3
Equation at the end of step
2
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
3
:
3
Simplify —
2
Equation at the end of step
3
:
3 (3x - 1)
(— • ————————) - -5x > 0
2 3
STEP
4
:
Equation at the end of step
4
:
(3x - 1)
———————— - -5x > 0
2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator :
-5x -5x • 2
-5x = ——— = ———————
1 2
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
(3x-1) - (-5x • 2) 13x - 1
—————————————————— = ———————
2 2
The equation at the end of step
5
:
13x - 1
——————— > 0
2
STEP
6
:
6.1 Multiply both sides by 2
6.2 Divide both sides by 13
x-(1/13) > 0
Solve Basic Inequality :
6.3 Add 1/13 to both sides
x > 1/13
Please help me this is my end of the year work
Answer:
Triangle, pentagon, heptagon, and decagon.
Step-by-step explanation:
REMEMBER THIS:
DECAGON: 10 SIDES
HEPTAGON: 7 SIDES
PENTAGON: 5 SIDES
TRIANGLE: 3 SIDES
EXTRA INFO:
HEXAGON: 6 SIDES
QUADRILATERAL: 4 SIDES
OCTAGON: 8 SIDES
NONAGON: 9 SIDES
(2) Find the area of each circle to the nearest tenth
Pls show the work not just give me the answer
Answer:
38.5 mm^2
Have a nice day!
Step-by-step explanation:
Area = πr^2
Area = π(3.5^2)
Area = π(12.25)
Area = 38.48451...
Area = 38.5
Mallory decided to keep track of how long she watched TV for an entire week. She watched 1 hour and 25 minutes of comedy shows, 45
minutes of drama shows, and 3 hours of action shows.
What was the ratio of number of minutes she watched comedy shows to the total number of minutes she watched TV.
A. 17:36
B. 17:45
C. 17: 60
D. 17 : 62
I want to d!e ahahahahahaha
Answer:
dont say that-
Step-by-step explanation:
I need some help I will give you brainiest.
A teaspoon of common table salt contains about 2,000 mg of sodium. How many grams of sodium is this?
200 g
2 g
2,000,000 g
20 g
please help me with 7 and 8. If they’re right i’ll give you brainliest.
Answer:
7,D all real numbers greater than or equal to 0
8,G all real numbers less than or equal to 2
$27 for 4 large pizzas or $32 for 5 large pizzas
Answer: 5 large
Step-by-step explanation:
$6.75 per pizza for 4 large pizzas
$6.40 per pizza for 5 large pizzas
HeLP PLEASE OH LORD ITS TIMED 20 POINTS AM I RIGHT??? IF NOT WHATS THE ANSWER
Answer:
you are correct :D
Step-by-step explanation:
Naim added 30 to the number of fish Connor had in his fish tank for a total of 52 fish in the tank which equation can be used to find the original number of fish Connor had in his tank
Answer:
30+ X = 52
Step-by-step explanation:
Answer:
x+30=52
or 52-30
Step-by-step explanation:
I know 2nd grade math.
Subtract 30 from 52.
Someone plz help me I suck at doing that
Answer:
D - 4.6
Step-by-step explanation:
Hope it Helps!
:)
and sorry for the late answer
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The right answer is
tan D =80/18
Evaluate t-⅓=8 no like please and thanks
Answer:
If its t to the power - 1/3 then it is 1/512
Step-by-step explanation:
t^-1/3=8
(1/t) ^1/3 =8
1/t = 8 ^3
t=1/512
Someone please help me
Answer:
y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)
Step-by-step explanation:
these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.
Help^^^^^^^^^^^^^^************
Answer and Step-by-step explanation:
The answer you chose is correct:
D. 2(5w + 5)
This is equivalent to 10w + 10.
This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.
#teamtrees #PAW (Plant And Water)