Step-by-step explanation:
1. 5 1/4 = 21/4
21/4 ÷ 3/4 = 7/4
2. 7 1/2= 15/2
15/2 ÷ 1/4 = 1.875
3. 3 2/5 = 17/5
17/5 ÷ 2/7 = 0.24
If you deposit $24,500 into a bank account paying 6% annual interest compounded
semi-annually for 5 years, how much interest will you earn? Round to the nearest cent.
Answer:
$7,719.33
Step-by-step explanation:
$24,500 x 0.06 = $1,470
($24,500 + $1,470) x 0.06 = $1,558.20
($24,500 + $1,558.20) x 0.06 = $1,563.49
($24,500 + $1,563.49) x 0.06 = $1,563.81
($24,500 + $1,563.81) x 0.06 = $1,563.83
$1,470 + $1,558.20 + $1,563.49 + $1,563.81 + $1,563.83 = $7,719.33
A fair 10 sided die rolled until a 7 is first seen. What is the probability of rolling the die six times?
Answer:
The probability of rolling a dice six time until a 7 is first seen is 0.059
Step-by-step explanation:
The probability of getting a seven is equal to [tex]\frac{1}{10}[/tex]
The dice need to be rolled only six times.
This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7
Hence the probability of rolling a dice six time until a 7 is first seen is
[tex](\frac{9}{10})^5 * (\frac{1}{10})^1[/tex]
[tex]= \frac{9^5}{10^6} \\= 5.90[/tex] % or 0.059
Triangle ABC has vertices A(-5, 2), B(0,4), and C(3,3). Determine the coordinates of the C'' after a translation 2 units right and 4 units down followed by a reflection over the y-axis.
PLEASE HELP ME ASAP! I'll mark brainliest if you're correct!
Answer:
Step-by-step explanation:
415 [tex]in^{3}[/tex]
Answer:
415 in^3
Step-by-step explanation:
.............................
Answer:
1 inch = 40 miles
Step-by-step explanation:
140 ÷ 3.5 = 40
Franco said that when the speed and distance are known,you only have to multiply them to get the time. Is Franco's statement correct? Explain why or why not.
Answer:
No, you have to divide
Step-by-step explanation:
Speed = distance/time
distance/speed = time
1 13/15 in improper fraction
Answer:
28/15
Step-by-step explanation:
Graph f(x)=4x^3-4x-2
Answer:
minimum: ([tex]\frac{\sqrt{3} }{3} , -\frac{8\sqrt{3} }{9}-2[/tex])
maximum: (-[tex]\frac{\sqrt{3} }{3} , \frac{8\sqrt{3} }{9}-2[/tex])
vertical intercept: (0 , -2)
Step-by-step explanation:
Help show work pls for brisnly
Answer:
6
Step-by-step explanation:
Ok, so all we have to do is multiply 8 * 3/4, because each child needs 3/4 of the sandwich, and there are 8 of them. The easiest (My opinion) way to do this is by turning 8 into a fraction. Turning whole numbers into fractions is really simple, just slap a /1 under them to make them a fraction. And so, our fraction is 8/1. Now, all we have to do is multiply the top part of the fraction, and then the bottom part of the fraction. So, 8 * 3 = 24, and 1 * 4 = 4. So, just put 24/4 as an answer. But, wait! We have to simplify it! 24 divided by 4 is 6, so 6 is our final answer.
find the sum of 8a+2b-4 and 3b-5. write. in expanded form and then standard form
Answer: 2^3
Step-by-step explanation:
Plssssss HELP ASAPPPPP
Answer:
The formula for an exponential decay problem is: y = x (1 - r)^x
Where x = initial amount, r = rate of decay and x = # time periods
So, x = $258, r = 8% = .08 and x = 11 years
y = 258 (1 - 0.08)^11 = 258 (0.92)^11 = 258 * 0.3996 = $103.10
Step-by-step explanation:
3y - 5x = 15 slope intercept form
Answer:
Y=3/5x-3
Step-by-step explanation:
Answer:
y=5/3x+5
Step-by-step explanation:
1)3y-5x=15
2)3y=15+5x
3)y=5+5/3x
4)y=5/3x+5
1) Write the equation out
2) Add 5x to both sides of the equation
3) Divide both sides of the equation by 3
4) Reorder the terms
write the equation of the graph in slope-intercept form
Answer:
y=3x+4
Step-by-step explanation:
Remember slope is rise over run
Rise= 6
Run= 2
3 is slope
The y intercept is 4
If the diameter of a circle is increased by 6 cm, what is the increase in the circumference of the circle?
Answer:
The circumference will be larger by 3 cm.
Step-by-step explanation:
We know that the circumference of a circle is C = 2πr, where r is the radius. The circumference can also be expressed as C = 2π [tex]\frac{d}{2}[/tex], where d is the diameter (since the radius is half the diameter).
So, if we increase the diameter by 6:
C = 2π [tex]\frac{(d+6)}{2}[/tex]
C = 2π [tex]\frac{d}{2}+\frac{6}{2}[/tex]
C = 2π [tex]\frac{d}{2}[/tex] + 3
If we compare this to the original equation, C = 2π [tex]\frac{d}{2}[/tex], we see that if we increase the diameter by 6 cm, the circumference will be larger by 3 cm.
8TH GRADE MATH PLEASE HELP
Answer:
∠x = 46°
Step-by-step explanation:
We have triangle = 180° = 18° + ∠x + (180° - 64°)
=> ∠x = 180° - 18° - 116° = 46°
(26 points!!!) Find the measurement indicated in each trapezoid. (ISOSCELES TRAP) Do NOT include units (degrees, inches, feet, etc).*
(08.01)
Given the arithmetic sequence an = 4 + 8(n - 1), what is the domain for n? (1
point)
All integers
All integers where n > 1
All integers where n > 0
All integers where n > 1
Convert 46 days in weeks and days
Answer:
6 weeks and almost 4 days
(or 6.571 weeks)
Answer:
6 (simple) 6.57143 (real)
Step-by-step explanation:
The real answer is 6.57143.
I did the 6 for simple
Sorry if I didn't do the days.
What is the mid point of a and b
(a+b)/2
Step-by-step explanation:
if a and b are the two end points of a straight line
how do I solve this?
9514 1404 393
Answer:
x ≈ 24.91
Step-by-step explanation:
It is helpful to remember the mnemonic SOH CAH TOA. It is intended to remind you that ...
Sin = Opposite/Hypotenuse
You observe that the values are given in the figure for an acute angle in a right triangle, the hypotenuse, and the side opposite the angle. That is why you are interested in the sine relation.
sin(49°) = x/33
x = 33·sin(49°) ≈ 24.905
The length of side x is about 24.91 units.
___
You solve any geometry problem by making use of the relationships you know between the parts given in the problem statement.
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL 3 AND GETS THE RIGHT! PLEASE HELP
Answer:
4. 21
5. 45
6. 22
Step-by-step explanation:
4. 6 + (2^4) - 1
6 + (16) - 1
22 - 1 = 21
5. (4 * 3²) + (18 - 9)
(4 × 9) + (9)
(36) + (9) = 45
6. 16 + (5² - 7) ÷ 3
PEMDAS tells us to do what's in Parentheses first
16 + ( 25 - 7) ÷ 3
16 + (18/3)
16 + 6 = 22
write each product in expanded ax ^2bx+c from
(4x + 2)(x - 1)
Answer:
4x squared-2x-2 is the answer
Step-by-step explanation:
Distribute No.1
(4+2)(−1)
4(−)+2(−1)
Distribute No.2
4(−1)+2(−1)
42−4+2(−1)
Distribute No.3
42−4+2(−1)
42−4+2−2
Combine like terms
42−4+2−2
42−2−2
Solution
42−2−2
Your welcome
Hola, me gustaría saber cuánto es 16r-8?
Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiWhat is the length of CF?
Answer:
8.5
Step-by-step explanation:
BF * EF = CF * DF
7 * 17 = CF * 14
119 = CF * 14
CF = 119 / 14
CF = 8.5
1. Andrea y Margarita decidieron compartir gastos en un apartamento, de manera proporcional a sus sueldos. Si Andrea gana $650.000 y Margarita gana $950.000 y, además los gastos de la casa son de $1’100.000 ¿Cuánto debe aportar cada una?
500,000 creo yo no sé puede ser
if 2 men and 3 boys can do a piece of work in 8 days whole 3 men and 4 boys will do it in:
A. 3 days
B. 4 days
C. 5 days
D. 6 days
Answer:
I think D. 6 days
Step-by-step explanation:
let me know if im wrong..
Please help anyone greatly appreciated
Answer:
Step-by-step explanation:
2(3x6+3x2+6x2)=72
Last year Emily invested some money and had gained 8% profit and her friend, Samira invested some money and gained 9% profit. Their total profit on the two investments was $1720. This year they each decided to invest the same amount of money as last year. Emily gained 7% profit this year and Samira gained 6%. If they receive a total profit of $1280, how much money did Emily invest? Answer.
Answer:
Emily's investment = $8,000
Step-by-step explanation:
Let Emily's invested amount = x
Let Samira's amount = y
8% of Emily's amount = 8/100 × x = 0.08x
9% of Samira's amount = 9/100 of y = 0.09y
∴ 0.08x + 0.09y = 1720
multiplying through by 100
8x + 9y = 172000 - - - - - (1)
7% of Emily's amount = 0.07x
6% 0f Samira's amount = 0.06y
0.07x + 0.06x = 1280
multiplying through by 100
7x + 6y = 128000 - - - - - - (2)
Next, let us subtract eqn 2 from eqn 1
equation (1) - equation 2
8x + 9y = 172000
-
7x + 6y = 128000
= x + 3y = 44000 - - - - (3)
from eqn (3) x = 44000 - 3y - - - - - (4)
putting this value of x into eqn 1
8x + 9y = 172000
8 (44000 - 3y) + 9y = 172000
352000 - 24y + 9y = 172000
-15y = 172000 - 352000 = -180000
y = 180000 ÷ 15
y = $12,000
finding x using eqn (4)
x = 44000 - 3y
x = 44000 - 3(12000)
x = 44000 - 36000
x = $8,000
∴ Emily's investment = $8,000
Malaya is following this recipe for bread rolls.
She uses 400 g of flour.
How much of the other ingredients does she use?
Recipe: Makes 14 bread rolls
700 g flour
14 g salt
7 g yeast
35 mL oil
420 mL water
Answer:
Step-by-step explanation:
400/700 = 4/7
salt: 4/7 × 14 g = 8 g
yeast: 4/7 × 7 g = 4 g
oil: 4/7 × 35 mL = 20 mL
water: 4/7 × 420 mL = 240 mL