When a child is born, her grandfather decides to put $100 in an account that earns interest. He plans to make no other deposits or withdrawals for 18 years. When the child turns 18 years old, the money in the account will be a birthday gift. The grandfather is choosing between two options:
Option 1: An account that grows by 10.5% each year.
Option 2: An account that grows by $20 each year.
Which option will result in a better 18th birthday gift? Explain your reasoning.
Answer:
option (1) is a better 18th Birthday gift of child by Grandfather.
Step-by-step explanation:
Amount deposited in bank at time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
So,
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
we know that Bank give compound interest on the deposit amount
then Compound interest = C.I=P(1+r) with an exponent of t
C.I= 100(1 + 10.5 over 100)with an exponent of 18
C.I= 100*6.0328
C.I= $603.28
Option 2:- An account that grows by $20 each year
Here,
Amount credited in account for 18 years = $20
So, Total amount after completion of 18 years = 10+18*20
=460
Hope this helped <3
The child turns 18 years old, and the money in the account will be a birthday gift is a better 18th Birthday gift for a child by a Grandfather.
The amount deposited in the bank at the time of birth by Grandfather is $100.
And there is no other deposits and withdrawals for 18 years.
Principal amount =$100
Time = 18 years
Rate of interest of bank = 10.5%
Option 1:- An account That grows by 10.5% each year
We know that Bank give compound interest on the deposit amount
What is the formula for compound interest?Compound interest = C.I=P(1+r) with an exponent of t
C.I= 100(1 + 10.5 over 100)with an exponent of 18
C.I= 100*6.0328
C.I= $603.28
An account that grows by $20 each year
The amount credited in the account for 18 years = $20
The total amount after completion of 18 years = 10+18*20
The total amount after completion of 18 years=460
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i need help please i have alot of problems on math and i was hoping you all can help me and explain it to me
3. Which number is the largest?
(A) 0,56
(B) a half C) 0.0599 (D) 0,09 (E) a half
Answer:
A) 0,56
Step-by-step explanation:
a half=0,5
0,56>0,5>0,09>0,0599
Determine whether the relationship is a function or not. Explain why
why not!
Answer:
It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
set costs $30 before a 30% discount
Answer:
$39
Step-by-step explanation:
Answer:
Set costs $21 after discount
Step-by-step explanation:
$30 = 100%
$x = 100% - 30% = 70%
70% = 0.7
30(0.7) = 21
$21
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please help me im confused with this
Answer:
B. 33 cm^3
Step-by-step explanation:
Volume = 4/3 πr^3
4/3 times 3.14 times 2cm^3
Answer:
33.51 cm³ (closest to Answer B)
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³.
With r = 2 cm, the volume is
V = (4/3)π(2 cm)³ = 33.51 cm³ (closest to Answer B)
Which answer choice correctly names the circle?
Answer:
Step-by-step explanation:
Is their suppposed to be a pic
Will give brainliest to correct answer
Answer:
Step-by-step explanation:
here you go.
please help me with this equation!
you will be marked as brainliest
Answer:
A I guess according to my research.
Mrs. Jones bought 120 eggs. She used 2/3of them for baking cakes. She used 1/4 of the remainder for baking cookies. How many eggs did she have left
Answer: 30 eggs
Step-by-step explanation:
Given
Mrs. Jones bought 120 eggs
She used two-third for baking cakes i.e.
[tex]\Rightarrow 120\times \dfrac{2}{3}=80\ \text{eggs}[/tex]
Remaining eggs are [tex]120-80=40\ \text{eggs}[/tex]
She used on-fourth of the remaining for baking cookies i.e.
[tex]\Rightarrow 40\times \dfrac{1}{4}=10\ \text{eggs}[/tex]
Eggs left after baking cookies
[tex]\Rightarrow 40-10=30\ \text{eggs}[/tex]
She is left with 30 eggs
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Answer is:
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What is the volume of a cone with a diameter of 20 inches and height of 25 inches?
Answer:
7853.98163in³
Step-by-step explanation:
V=
π
d
2
2
h
=
π
20
2
2
25
≈
7853.98163in³
Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?
A. The number of stuffed animals in Denise’s collection is multiplied by 4 each year.
B. Denise’s collection increases by 4 stuffed animals per year.
C. Denise’s collection increases by 3 stuffed animals per year.
D. Denise spends $4 per year on stuffed animals.
The statement best describes the rate of change is "Denise's collection increases by 4 stuffed animals each year".
What is rate of change ?
The rate of change is the speed at which a variable changes over a specific period of time.
According to the given question
We have
An equation a(n) = 3+4n, which describes the number of stuffed animal in Denise collection, a after n, number of years.
For the rate of change
Differentiate the given equation w.r.t n
⇒[tex]\frac{d(a(n))}{dn} =\frac{d}{dn} (3) + \frac{d}{dn} (4n)[/tex]
⇒[tex]\frac{d}{dn} a(n) = 0+ 4 =4[/tex]
⇒ the number of stuffed collection increases by 4 each year.
Hence, option B is correct.
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En una compañía se realiza una encuesta a 200 personas, se encontró la siguiente distribución, en el uso de máquinas eléctricas, mecánicas y computadoras: Eléctricas 110, mecánicas 50, computadoras 60. Mecánicas y computadoras 25, eléctricas y computadoras 35, eléctricas y mecánicas 40. Las tres 20 y 60 nada. A) Encuentre el número de personas que o usan computadora. B) Que usen una maquina eléctrica pero no computadora. C) Que usen solo un equipo. D) Que usen mecánica y eléctrica pero no computadora. E) Cuantos no tienen ni maquina eléctrica ni mecánica.
Answer:
A) 140
B) 75
C) 80
D) 20
E) 80
Step-by-step explanation:
Para resolver este problema debemos construir un diabrama de Venn y llenarlo según los datos que se nos brindan.
Comenzamos nombrando cada círculo:
E= personas que usan máquinas eléctricas
M= personas que usan máquinas mecánicas
C = personas que usan computadoras.
- Luego llenamos el área central con un 20, el cual representa las personas que usan los 3 tipos de maquinas.
- En la parte exterior del diagrama de Venn colocamos un 60 por las personas que no usan ninguna de las máquinas.
- En la intersección entre M y C restamos:
25-20=5
Entonces colocamos este 5 en esa región.
- En la intersección entre E y C restamos:
35-20=15
Entonces colocamos este 15 en esa región.
- En la intersección entre E y M restamos:
40-20=20
Entonces colocamos este 20 en esa región.
- En la región de E restamos:
110-20-20-15=55
Entonces colocamos este 55 en esa región.
- En la región de M restamos:
50-20-20-5=5
Entonces colocamos este 5 en esa región.
- En la región de C restamos:
60-15-20-5=20
Entonces colocamos este 20 en esa región.
Y obtenemos el diagrama de Venn que representa esta encuesta (Ver figura adjunta)
Y ahora ya lo podemos usar para responder a las preguntas:
A) Número de personas que no usan computadora. Sumamos los números fuera del círculo C:
55+20+5+60=140
B) Número de personas que usan una máquina eléctrica pero no computadora: Sumamos los números dentro del círculo E con excepción de los números compartidos por el círculo C y obtenemos:
55+20=75
C) Número de personas que usan solo un equipo: Sumamos los números no compartidos en los círculos E, M y C
55+20+5=80
D) Número de personas que usan máquina mecánica y eléctrica pero no computadora: Usamos el número compartido entre E y M que no son compartidos con C
20
E) Sumamos el número que se encuentra solo en C y los que están afuera del diagrama:
20´60=80
Use the Distributive Property to simplify the expression 5(7x + 4).
5 (7x+4)
Answer:
35x + 20
Step-by-step explanation:
5 * 7x
and
5 * 4
then combine them with a plus sign
Answer:
35x + 20
Step-by-step explanation:
Distribute: 5(7x + 4)
5 • 7x = 35x
5 • 4 = 20
35x + 20
Hope this helps, good luck! :)
Solve.
-2} -(-5) = 0
를
Answer:
[tex] - 2 \frac{1}{3} - ( - 5) \\ = - \frac{7}{3} + 5 \\ = \frac{8}{3} \\ = 2 \frac{2}{3} [/tex]
-3x+6>12
need help with this one number line
Answer:
x <-2
Step-by-step explanation:
-3x+6>12
Subtract 6 from each side
-3x+6-6>12-6
-3x> 6
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 6/-3
x <-2
Can someone help me with this
Answer:
30 I N
Step-by-step explanation:
Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *
Answer:
(40-12)-(x·7)
Step-by-step explanation:
x is the price foreach of the 7 binders
If a box is 16 feet by 12 feet wide how wide of a picture frame could be put inside it of it diagonally
Answer:
192
Step-by-step explanation:
16×12
if it is 16 wide then we shall multiply by 12
how to get a square root of a given number
Answer:
See below
Step-by-step explanation:
The square root of a number is defined as [tex]\pm y=\sqrt[2]{x}[/tex] where [tex](\pm y)^{2}[/tex] gives the original number. For example, [tex]\sqrt{4}=\pm2[/tex] because [tex]2^{2}=2*2=4[/tex] and [tex](-2)^{2}=-2*-2=4[/tex].
Example of Calculating Square Roots with Multiplication :
The square root of 9 is 3. The number 9 is an integer. This number comes from multiplying 3×3 which results in the number 9The square root of 25 is 5. The number 25 is an integer. This number comes from multiplying 5×5 which results in the number 25The square root of 81 is 9. The number 81 is an integer. This number comes from multiplying 9×9 which results in the number 81The square root of 100 is 10. The number 100 is an integer. This number comes from multiplying 10×10 which results in the number 100Example of Calculating Square Roots by Division
The square root of 4 is 2. The number that divides 4 is the number 2, like 4: 2 makes the number 2. It cannot be divided anymore and can be multiplied by itself.The square root of 9 is 3. The number that divides 9 is the number 3, such as 9: 3 to produce the number 3. It cannot be divided anymore and can be multiplied by itself.The square root of 25 is 5. A number that divides 25 is 5, as 25:5 makes 5. It is indivisible and can be multiplied by itself.Write an equation for the line that has a slope of 1/2 and passes though the point (-2, 5)
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(-2) + b
5 = -1 + b
6 = b
The sum of three numbers is 57. If twice the first number is 6 less than the second and the second number 10 more than the third, find the numbers.
Answer:
11,28,18 are the three numbers.
Step-by-step explanation:
Which ordered pair is a solution of this equation y = 80 – 8x?
Answer:
y = -8x + 80 This is the way I found the answer
Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)
Answer:
the ordered pair (2, 6) is the answer
Step-by-step explanation:
y - x > -3
you can use substitution for each option:
2 - 6 > -3 False, -4 is not > -3
6 - 2 > -3 True, 4 is not > -3
-1 - 2 > -3 False, -3 is not > -3
What's the volume to this prism?
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
[tex]V=whl[/tex]
----------------------------------------------------------------------------------------------------------------
So:
6 × 3 × 2 = 36
----------------------------------------------------------------------------------------------------------------
Have a good day :)
Somebody please help me it’s a big test I only have a few days left
Answer:
36-meet
37-feature
38-drag
39-Strength
40-speed
Step-by-step explanation:
i don’t understand??
Answer:
understand it lol
Step-by-step explanation:
The Walt Disney Company paid a $0.35 annual dividend on a day it closed at a price of
$33.86 per share.
a. What was the annual dividend for 500 shares?
b. What was the quarterly dividend for 500 shares?
c. What was the yield to the nearest tenth of a percent?
Answer:\
hey check out the attachment i found them online hope it help and thank you!
I looked for them like for 20 min I finnaly found them
Have a nice day/night! LOL
Step-by-step explanation:
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?
Answer:
The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.