1900 is deposited into a savings account. Interest is compounded annually. After 1 year, the value of the account is 1957. After 2 years, the value of the account is 2015.71. This scenario can be represented by an exponential function of the form f(x)=1900(b)^2 , where is the amount in the savings account, and x is time in years. What is the value of b?
Answer:
1.03
Step-by-step explanation:
2015.71 = 1900(b)^2
44.896659 = 43.588989 * b
44.896659/ 43.588989 = b
1.0300000 = b
Recall ; for an exponential distribution :
b In the equation = 1 + r ; where, r = rate
b = 1 + r
1.0300000 = 1 + r
r = 1.0300000 - 1
r = 0.03
Hence, the value of b in the equation is 1.03
Edge! 15 pts! PLEASE HURRY! Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Answer:
Side AH
Step-by-step explanation:
he other 3 sides only go through one face of the cube
Answer:
s√3
Step-by-step explanation:
Draw in the diagonal of the base, which is the line freom G to F. If the side length of this cube is s, then the length of this diagonal is
d = √(s² + s²) = (√2)s.
Now draw in the diagonal of the cube: draw a line segment from G to B. We have already found that the length of the diagonal GF is d = s√2. Apply the Pythagorean Theorem to the triangle whose sides are s√2 and s:
diagonal of cube = square root of the sum of the squares of s√2 and s:
= √(2s² + s²)= √(3s²) = s√3
1)
Orange-Gi
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work
Please help meeee
I will give u 14 points
Answer:
She will save 1.24
Step-by-step explanation:
2.65 x 4 10 .60 plus .53 x 4 equals 12.72
6.48 x 2 equals 13.96
What flavor of ice cream would you pick?
Chocolate Vanilla Neither
Children
40
Teens 12
16
45
Adults 55
54
22
15
10
The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult
prefers chocolate ice cream?
A)
55
52
B)
55
54
c)
55
107
D)
55
119
Answer:
I'm pretty sure the answer is C
I could be wrong tho
Help me please! This is due today!
Answer:
the question is fillped i can not see the questions
Step-by-step explanation:
The Town Theater receives $4212 by selling 465 tickets to
the opening night of the revue. If the full price of a ticket is $10.00
and discount tickets for students and seniors are $8.00 each, how
many discounted senior/student tickets were sold?
Answer:
219
Step-by-step explanation:
let x be the number of full price tickets and y be student/ senior number , then
x + y = 465 → (1)
10x + 8y = 4212 → (2)
Multiplying (1) by - 10 and adding to (2) will eliminate x
- 10x - 10y = - 4650 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = -438
- 2y = - 438 ( divide both sides by - 2 )
y = 219
The number of senior/ student tickets sold was 219
Jack and charlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?
From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
What is the difference between simple and compound interests?
Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The complete question is given below.
Given,
The principal amount deposited by both Jack and Carlie P = $17,250
The rate of interest r = 6% = 0.06
The time period = 6.5
Jack's account earns annual simple interest and Carlie's account earns annual compound interest.
So the amount in each person's account after a time period of t = 6 years.
Jack:
Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460
Carlie:
number of times compounded in a year n = 1
Amount = [tex]P(1 + \frac{r}{n})^{nt}[/tex] = 17250 ( 1+0.06)⁶ = $24,469.45
Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
To learn more about the interest, follow the link.
https://brainly.com/question/25720319
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(28 divided 7 + 6 divided 3) x 1/2
Answer:
3
Step-by-step explanation:
28/7=4
6/3=2
4+2=6
6*1/2=3
Paraenthies
Exponets
Mulitplication
Divide
Add
Subtract
Find the interest rate for a bank account that earned $81.60 in interest over 4 years and that had a principal of $510
Answer:
[tex]si = \frac{p \times t \times r}{100} \\ 81.60 = \frac{510 \times 4 \times r}{100} \\ 8160 = 2040r \\ r = \frac{8160}{2040} \\ r = 4\%[/tex]
A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.
If a / b = 2 / 5 , then , b / a = 5 / 2
True
False
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
Brionna bought a house for $300,000 in 2000. Unfortunately, the market is not doing so hot and each year she loses $2,000 in value. If she decides to sell in 2012 how much will her house be worth?
x+2y+1=0,2x-3y-12=0 solve by substitution method
Answer:
Step-by-step explanation:
x=-1-2y
-2-4y-3y-12=0
-7y=14
y=-2
x=3
Help me ♀️
Hehdhxjjbduc eirbdudbdu
Answer:
slope = 1
y - intercept = (0.-4)
how do I solve this and what steps do I take to solve it
Answer:
122.46 mi^2
Step-by-step explanation:
IF ans is correct comment back for explanation
I need this answer as soon as possible
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
V = 612.3
Step-by-step explanation:
d = 6
r = 3
Volume of a cylinder:
V = πr²h
V = 3.14(3²)(20)
V = 3.14(9)(20)
V = 565.2
Volume of a cone:
V = πr²(h/3)
V = 3.14(3²)(5/3)
V = 3.14(9)(5/3)
V = 47.1
Combined:
565.2 + 47.1
612.3
Find the slope of the line through the points (10,-6) and (-1,8)
Answer:
m=-14/11
Step-by-step explanation:
To find the slope use the formula: y2-y1/x2-x1
(8--16)/(-1-10)
14/-11
=-14/11
This is my question for now
Answer:
V = 540cm3 (E)
Step-by-step explanation:
Area of a square:
A = a2
Perimeter of a Square
P = 4a
Polygon diagonals of a square
q = √(2a2) = a√2
Side of a Square
a = √A
a = P/4
a = q / √2
Square Calculations
Calculate q, P, A | Given a
Given the length of a side calculate the diagonal, area and perimeter
q = a√2
A = a2
P = 4a
Calculate a, P, A | Given q
Given the diagonal length calculate the side length, perimeter, and area
a = q / √2
P = 4a
A = a2
Calculate a, q, A | Given P
Given the perimeter calculate the side length, diagonal, and area
a = P/4
q = a√2
A = a2
Calculate a, q, P | Given A
Given the area calculate the length of the sides, diagonal, and the perimeter
a = √A
q = a√2
P = 4a
Luis puts $2,500 into an account that earns 5% interest per year for 3 years. Find the amount of interest earned on the account
Answer:
$375
Step-by-step explanation:
Given data
Principal= $2500
Rate= 5%
TIme = 3 years
We know that the expression for the simple interest is given as
SI=PRT/100
Substitute
SI= 2500*5*3/100
SI= 37500/100
SI= $375
To serve 1 person at a local restaurant, it takes 10 minutes. To sene 5 people, it takes 18 minutes. Write and solve an equation to find the number it will take to serve a party of 8.
Answer:8x5=10-x
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLIST
Answer:
21 degrees
Step-by-step explanation:
The inscribed angle theorem states that when two cords (lines in a circle) make contact with the circumference of the circle (outer edge), and the two cords do not pass through the center of the circle, then the angle between the two cords is equal to half of the length of its surrounding arc. This means that the measure of arc (WV) is half of the measure of angle (WXV). Therefore, one can form an equation and solve for the length of the arc (WV).
2 (WV) = (m<WXV)
Substitute,
2 (WV) = (42)
Inverse operaitons,
2 (WV) = (42)
/2 /2
(WV) = 21
Solve each equation. List any restrictions. Check your solutions.
12/x+11=17
8.2.AP-7
B
Find the measure of side c.
a = 26 m
C
C=
m (Round the answer to the nearest whole number.)
Answer:
c ≈ 40
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{26}{c}[/tex] ( multiply both sides by c )
c × sin40° = 26 ( divide both sides by sin40° )
c = [tex]\frac{26}{sin40}[/tex] ≈ 40 ( to the nearest whole number )
A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degrees upwards to look at its head. How far away is she from the base of the statue? Round your answer to the nearest whole foot.
Given:
Height of the Statue of Liberty = 305 feet
Angle of elevation = 9 degrees
To find:
The between the tourist and the Statue of Liberty.
Solution:
Using the given information, draw a figure as shown below.
In a right triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the triangle ABC,
[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]
[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]
[tex]x=1925.6942[/tex]
[tex]x\approx 1926[/tex]
Therefore, the tourist is standing 1926 feet from the Statue of Liberty.
?? I need a step by step explanation, please
Answer:
( 4 , − 1 )
Step-by-step explanation:
y= (x + 3)(x + 5)
y= x^2 + 5x + 3x + 15
y= x^2 + 8x +15
Select the correct answer.
What is the height, x, of the equilateral triangle?
an equilateral triangle with the angles labeled as 60 degrees and a side length of 14 inches, the height labeled as x
Answer:
x = [tex]7\sqrt{3} [/tex] inches
Step-by-step explanation:
- 2021 Edmentum
The height x of the equilateral triangle is 7√3 inches.
What is an Equilateral triangle?Equilateral triangles are triangles that have all their sides and angles equal to each other. The three angles are 60 degrees each.
Therefore,
The side length of the equilateral triangle is 14 inches.
Therefore, To find the height of the triangle using the Pythagoras theorem.
c² = a² + b²
14² - 7² = b²
b² = 196 - 49
b² = 147
b = 7√3
Hence, The height x of the equilateral triangle is 7√3 inches.
learn more on the equilateral triangle here:
brainly.com/question/821299
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Claire has 8 cards: 4 red cards and 4 blue cards. She draws 3 cards from the set at random. What is the probability that all 3 cards are red?
Answer: 1/14 assuming cards are nut returned back in deck
Step-by-step explanation: first is red P(1. R) = 4/8 = 1/2
Second red P(2. R) = 3/7 and P(3. R) = 2/6 = 1/3.
Multiply probabilities , you get 1/14
Answer:
4/56 simplified is 1/14
Step-by-step explanation:
nCr(8,3) = 56
4 (the number of red cards there are) / 56 = 1/14
Solve using substitution. y = 5 7x - 8y = -12
Step-by-step explanation:
y=57x-8y=-12
so we put the Y
y=-12
-12=57x-8y
57x-8x(-12)=-12
(-36/19,-12)<---- answer
Please answer both questions, thanks!
Answer: your welcome lol
Step-by-step explanation: