Answer:
Annual interest rate = 4%
Step-by-step explanation:
We are given;
Principal; P = $20000
Interest; I = $1600
Period; T = 2 years
Formula for simple interest is;
I = PRT
Making R, rate the subject of the formula gives;
R = I/PT
Plugging in the relevant values gives;
R = (1600)/(20000 × 2)
R = 0.04
In percentage form, R = 4%
A bag contains 8 green, 4 black and 6 yellow marbles. What is the probability of randomly selecting a yellow marble ?
Answer:
Step-by-step explanation:
8 green
Solve (2^2x+1)-9(2^x)+4=0
x₁ = - 1
x₂ = 2
Step-by-step explanation:2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0
2²ˣₓ2 - 9ₓ2ˣ + 4 = 0
2ˣ = n
2n² - 9n + 4 = 0
2n² - n - 8n + 4 = 0
n(2n - 1) - 4(2n - 1) = 0
(2n - 1)(n -4) = 0
2n - 1 = 0 => n₁ = 1/2
n - 4 = 0 => n₂ = 4
2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1
2ˣ = 4 => 2ˣ = 2² => x₂ = 2
Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?
Write your answer as a decimal or a whole number.
Answer:
Step-by-step explanation:
on Saturday time taken to run 1 mile=34.5/3=11.5 min
on Sunday time taken to run 1 mile=28/2.5=280/25=56/5=11.2 min
difference in time taken=11.5-11.2=0.3
he was faster on Sunday by 0.3 min/mi
PLEASE HELP meeeeeeee
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}}}}[/tex]
Option B is the correct option.
Step-by-step explanation:
[tex] \sf{ \sqrt{15k} (4 + \sqrt{3} )}[/tex]
Distribute √ 15 k through the parentheses
[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{15k \times 3}}} [/tex]
[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{45k} }}[/tex]
[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}[/tex]
Hope I helped!
Best regards! :D
a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday
Answer:
you need a answer I can see 425
Determine the statement that is logically equivalent to this conditional statement. If there is a thunderstorm, the lake floods. A) If the lake does not flood, there is a thunderstorm. B) If the lake floods, then there is not a thunderstorm. C) If there is not a thunderstorm, the lake does not flood. D) If the lake does not flood, then there is not a thunderstorm.
According to the video, who is the most common employer for Foresters? lumber companies the government paper companies conservation groups
Answer:
B. The Government
Step-by-step explanation:
Answer:
B is the anwser on egde 2020
Step-by-step explanation:
Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
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If 5 + 6i is a solution of a quadratic equation with real coefficients, then_______ is also a solution of equation.
Answer:
Step-by-step explanation:
complex roots always occur in pairs and are conjugate of each other.
second root=5-6i
what algebraic expression represents GK?
What is 21x+6 solve for x
Answer:
[tex]x = - \frac{2}{7} [/tex]
Step-by-step explanation:
[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]
•you divide both sides by 21 to leave x alone
Range of value, solve for x, 2x-15
Answer:
3
Step-by-step explanation:
Set the denominator in
3
x
2
−
2
x
−
15
equal to
0
to find where the expression is undefined.
x
2
−
2
x
−
15
=
0
Solve for
x
.
Tap for more steps...
x
=
5
,
−
3
The domain is all values of
x
that make the expression defined.
Interval Notation:
(
−
∞
,
−
3
)
∪
(
−
3
,
5
)
∪
(
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≠
−
3
,
5
}
The number line represents −412+314. What is the sum?
Answer:
the answer is -98
Step-by-step explanation:
i hope it is write
Answer: The number line represents −4 1/2 +3 1/4.
4*2+1 / 2 =8.5 + 3*4+1 /4 =3.25
-8.5 + 3.25 =-5.25
What is the sum? -5.25
C). -1 1/4
Step-by-step explanation:
x/a + x/b =c,a ne0,b ne0,a ne-b
Answer:
Step-by-step explanation:
[tex]\frac{x}{a} +\frac{x}{b} =c\\a\ne 0,b \ne 0,a \ne -b ~or~a+b \ne 0 \\x(\frac{1}{a} +\frac{1}{b} )=c\\x(\frac{b+a}{ab} )=c\\x=\frac{abc}{a+b}[/tex]
the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers
Answer:
It would last for 54 days.
Step-by-step explanation:
After 15 days 200 soldiers leaved.
Soldiers Food for days
1200 ↓ 45
1000 ↑ x (let)
Arrows show the opposite variation to each other
1200 x
1000 = 45
Or, x = 1200×45
1000
= 54 days.
The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times should jennifer except to roll a number less than 3
Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
4(3x - 2) - x = 3x - 4x
Answer:
2/3
Step-by-step explanation:
Step 1:
4 ( 3x - 2 ) - x = 3x - 4x
Step 2:
12x - 8 - x = - x
Step 3:
11x - 8 = - x
Step 4:
11x = - x + 8
Step 5:
12x = 8
Answer:
x = 2/3
Hope This Helps :)
Answer:
[tex]\displaystyle{x=\frac{2}{3}}[/tex]
Step-by-step explanation:
[tex]4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8[/tex]
[tex]\displaystyle{x=\frac{8}{12}}[/tex]
[tex]\displaystyle{x=\frac{2}{3}}[/tex]
If AB=3x-1, BC=6x, and AC= 26. Find the value of x.
Answer
let me try but i'm not sure
Step-by-step explanation:
Let's assume AC is a straight line and B is on the line and B is between A and C
AB+BC=AC
3x-1+6x=26
9x=27
x=3
Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75
Hey there! I'm happy to help!
[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.
In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.
So, we divide 9/25 by 3/5, giving us 3/5.
Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.
Have a wonderful day! :D
Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
Answer:
D. They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
I guessed and got it right xD
Answer: D
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
a) Let U = {1,2, ..., 9} be the universal set, and let
A = {1, 2, 3, 4, 5},
C= {5, 6, 7, 8, 9), E= {2,4,6,8},
D= {1,3,5,7,9), F = {1,5,9}.
B = {4, 5, 6, 7},
Find:
ii) (A/E)^c
iii) (BnF) U (CnE)
Answer:
B= {4,5,6,7,} is the answer.
it is difficult ☹️ questions
I'm not too sure on this. I need help ASAP, please and thank you.
Answer:
25
Step-by-step explanation:
Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks.
The linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t
How to find a linear equation that represents the total distance Jeff can walk in t hours?The given parameters are
Speed = 2.25 miles per hour
The linear equation that represents the total distance (d) Jeff can walk in t hours is calculated as:
d = Speed * t
This gives
d = 2.25 * t
Evaluate
d = 2.25t
Hence, the linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t
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if f(x)=3x^2-4 and g(x)=5x+1, find fog(4) and gof(4)
1. Solve the shape equation puzzle?
Answer:
circle = 5, triangle = 2, square = 6
Step-by-step explanation:
If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.
Solve this inequality : 5x+7x<36
Answer:
x < 3
Step-by-step explanation:
5x+7x<36
12x<36
Divide both sides by 12
x<3
Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2
pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which Inequality could be used to
find b, the number of bowls that can be added to the box?
OA. 4(1.2) + 0.90 <12
OB. 4(1.2 +0.9b) 12
OC. 4(1.2) + 0.96 > 12
OD. 4(1.2 + 0.9b) 12
Answer:
yay ryan is getting rid of his kitchen plates!!!
Step-by-step explanation:
Answer:
I think it's A
Step-by-step explanation:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
It is currently 25°C in Greensboro, NC. Use the formula F = $C + 32, where C = Celsius degrees and F =
Fahrenheit degrees, to convert 25°C to Fahrenheit degrees.
0 45.9°F
O 13°F
O 77°F
102.6 F
Submit
Pass
Save and close
Don't know
answer
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O
BI
8
a
15
How to get this answer:
Replace C with 25. Then evaluate (use the order of operations PEMDAS)
F = (9/5)*C + 32
F = (9/5)*25 + 32
F = 1.8*25 + 32
F = 45 + 32
F = 77
25 degrees Celsius is equal to 77 degrees Fahrenheit
So it is 77°F in Greensboro, NC.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
We know °F = (9/5)C + 32 converting unit of temparature to farhenhite.
Given, It is currently 25°C in Greensboro, NC.
∴ It is °F = (9/5)×25 + 32.
°F = 45 + 32.
°F = 77.
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What is 12.325 + 8.274
Answer:
20.599
Step-by-step explanation:
Answer:
12.325 + 8.274 = 20.599
please help!! will make branliest!!