Answer:64
Step-by-step explanation:33+116=149
180-149=31
31+33=64
Fabian is going to invest in an account paying an interest rate of 5.5% compounded annually. How much would Fabian need to invest, to the nearest ten dollars, for the value of the account to reach $1,240 in 13 years?
Answer: x=620
Step-by-step explanation:
suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current circuit is i. what is the peak current for this circuit (largest magnitude)?
The peak current for the given circuit is equal to the absolute value of i.
In an alternating current circuit, the peak current is equal to the maximum value of the current over a complete cycle. Since it is given that the current at any given time t (in seconds) in the circuit is; 'i' (in amperes), the peak current can be calculated as the absolute value of i.
For instance, if the current 'i" at any given time t is 5 A, then the peak current in the circuit will also be 5 A.
This is because the peak current represents the maximum magnitude of the current and is independent of the direction of the current.
Therefore, the peak current for the given circuit is equal to the absolute value of i.
To know more about the current visit:
https://brainly.com/question/13076734?
#SPJ11
The data are the distances (in miles) between your school and the six other schools your team has played this season in intramural sports.
8, 9, 5, 11, 7, 8
a. Find the mean of the data.
b. Friday they will play at the middle school in the neighboring town, which is only 1 mile away. Will the mean distance between schools increase
or decrease or the new school is included? Explain. Then find the new mean.
Be sure to answer both parts!
a. The mean distance between schools is 8 miles.
b. The new mean distance between schools is 7 miles.
Explain mean
The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and dividing by the total number of values. The mean is commonly used to describe the typical value in a data set and is an important concept in data analysis and probability theory.
According to the given information
a. To find the mean, we add up all the distances and divide by the number of schools:
Mean = (8 + 9 + 5 + 11 + 7 + 8) / 6 = 8
Therefore, the mean distance between schools is 8 miles.
b.To find the new mean, we add up all the distances (including the new one) and divide by the new total number of schools:
New mean = (8 + 9 + 5 + 11 + 7 + 8 + 1) / 7 = 7
Therefore, the new mean distance between schools is 7 miles.
To know more about mean visit
brainly.com/question/31101410
#SPJ1
Casho has a bag that contains pineapple chews, lemon chews, and lime chews. She performs an experiment. Casho randomly removes a chew from the bag, records the result, and returns the chew to the bag. Casho performs the experiment 54 times. The results are shown below:
A pineapple chew was selected 9 times.
A lemon chew was selected 15 times.
A lime chew was selected 30 times.
Based on these results, express the probability that the next chew Casho removes from the bag will be pineapple chew as a percent to the nearest whole number.
Answer:
17% the next chew Casho pulls out is pineapple
Step-by-step explanation:
pineapple chew 9/54
lemon chew 15/54
lime chew 30/54
9/54 = 0.1666666... make this a percent and you get 17% of the time Casho will pull out a pineapple chew.
Answer:
...................................................................
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Consider the following.
twelve times the difference between a number and fifty-five
Answer:
\(12* (x-55)\)
Step-by-step explanation:
Not sure what else you need...
The spinner is equally likely to land on any of the six sections. a spinner contains 6 equal sections: 1, 2, 3, 4, 5, 6. sections 1, 3, and 5 are shaded. the spinner is pointing at number 6. what is the probability that the spinner will land on a number greater than 4 or on a shaded section? two-ninths one-half two-thirds five-sixths
The probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixt
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically;
Probability = Expected/Total
If the spinner is spinned, the total outcome is 1/6
Pr(greater than 4) = 2/6 = 1/3
Pr(shaded section) = 3/6 = 1/2
Pr(number greater than 4 or on a shaded section) = 1/3 + 1/2
Pr(number greater than 4 or on a shaded section) = 5/6
Hence the probability that the spinner will land on a number greater than 4 or on a shaded section is five-sixths
Learn more on probability here: https://brainly.com/question/25870256
Answer:
D. 5/6
Step-by-step explanation:
i can feel the course of the correct answer pierce through my veins, trust me... its correct.
Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Learn more about the Linear Equations:
https://brainly.com/question/19803308
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and DB = 93 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
89.8 feet
Step-by-step explanation:
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=75°, and DB = 93 feet. Find the length of BC to the nearest tenth of a foot.
We would solve the above question using Sine rule
The formula is given as:
DB/sin D = BC/sin B
93/sin 90 = BC/sin 75
We cross multiply
sin 90 × BC = 93 × sin 75
BC = 93 × sin 75/sin 90
BC = 89.83 feet
Approximately BC = 89.8 feet
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
. list the members of k 5 {x 2 | x [ d4} and l 5 {x [ d4 | x 2 5 e}
the members of k are d and 4, while the members of l are all real numbers between 4 and 5 (inclusive).
In set-builder notation, {x | P(x)} represents the set of all elements x that satisfy the property P(x).
Using this notation, we have:
k = {x | x is an element of the set {d, 4}}
l = {x | x is a real number such that x is greater than or equal to 4 and less than or equal to 5}
what is set-builder notation?
Set-builder notation is a way of specifying a set by describing the properties that its elements must satisfy.
In set-builder notation, we use braces { } to enclose a description of the elements of a set. The description consists of a variable, followed by a vertical bar "|" symbol (read as "such that" or "where"), and then a condition that the variable must satisfy.
To learn more about set-builder notation visit:
brainly.com/question/29531272
#SPJ11
help me please!!!!!
How do i solve this plss helpp
Hope this helps!! :)))))))
Sarah is going on a trip. she drives for 2 hours and 45 minutes, rests for 35 minutes and drives
for another 2 hours 50 minutes.
what is her total travel time in hours and minutes
Answer:
5 hours and 35 minutes
Step-by-step explanation:
If you add the 45 and 50 minutes, you get 95 minutes, but an hour is only 60 minutes. So you subtract 60 and you're left with 35 minutes. You add the new hour onto the other 4 hours and you get 5 hours total.
Answer: 5 hours and 35 minutes
Step-by-step explanation: 2 + 2 = 4 45 + 50 = 95 95- 60 = 35
1. Edward buys 6 yards of
fabric for $15. How
much does the fabric
cost per yard?
n
Answer:
one yard of fabric costs $2.50
Step-by-step explanation:
do 15÷6 and you get 2.5. hope this helps
Express 24 1/2 in simplest radical form.
Answer:
49/2
Step-by-step explanation:
The simplest radical form of the given expression will be √24.
How do convert the exponent into the simplest radical form?If the power of the variable "a" is b/c.
Then the simplest radical form of the expression will be
\(\rm \left ( a \right )^{\rm \frac{b}{c}} = \rm \sqrt[\rm c]{\rm a^b}\)
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ \((24)^{1/2}\)
If the power of the base is in half then it can be replaced by the square root.
Convert the expression into the simplest radical form. Then we have
⇒ \((24)^{1/2}\)
⇒ √24
The simplest radical form of the given expression will be √24.
More about the simplest radical form link is given below.
https://brainly.com/question/7440652
#SPJ2
Please help me in this worksheet it’s really important
Answer:
AB:0:2
BC:6:4
CD:9:6
DE:9:15
Step-by-step explanation:
plsss answer i'll give 50
Step-by-step explanation:
I know it not all but this is what I have
guys help me plz i don't know this please help me
Answer: The least value goes with the greatest value
Step-by-step explanation:
Choose the value that breaks this gem into 10 equal pieces
Answer:
the block with '10%'
The whole is 100% and 10% divided by 10 is 10%
expand and simplify 3(f+3) + 2 (f+6)
Answer:
Step-by-step explanation:
3(f + 3 ) + 2(f +6) = 3*f + 3*3 + 2*f + 2*6
= 3f + 9 + 2f + 12
= 3f + 2f + 9 + 12 {Combine like terms}
= 5f + 21
3(f+3)+2(f+6)
3f + 3 + 2(f+6)
3f + 9 + 2f + 12
3f + 21 + 2f
5f + 21
Final answer:
5f + 217900 dollars is placed in an account with an annual interest rate of 5. 5%. How much will be in the account after 11 years,to the nearest cent ?
Assuming the interest is compounded annually, the amount in the account after 11 years can be calculated using the formula A = P(1 + r/n)^(nt), where A is the amount in the account, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $7900, r = 0.055, n = 1 (compounded annually), and t = 11. Substituting these values into the formula gives:
A = 7900(1 + 0.055/1)^(1*11)
A = $13,983.76
Therefore, the amount in the account after 11 years will be approximately $13,983.76, rounded to the nearest cent.
In summary, if $7900 is placed in an account with an annual interest rate of 5.5%, compounded annually, the amount in the account after 11 years will be approximately $13,983.76. The formula used to calculate this amount is A = P(1 + r/n)^(nt), where A is the amount in the account, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
To learn more about compound interest click here:
brainly.com/question/14915368
#SPJ11
Assuming the interest is compounded annually, the amount in the account after 11 years can be calculated using the formula A = P(1 + r/n)^(nt), where A is the amount in the account, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $7900, r = 0.055, n = 1 (compounded annually), and t = 11. Substituting these values into the formula gives:
A = 7900(1 + 0.055/1)^(1*11)
A = $13,983.76
Therefore, the amount in the account after 11 years will be approximately $13,983.76, rounded to the nearest cent.
In summary, if $7900 is placed in an account with an annual interest rate of 5.5%, compounded annually, the amount in the account after 11 years will be approximately $13,983.76. The formula used to calculate this amount is A = P(1 + r/n)^(nt), where A is the amount in the account, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
To learn more about compound interest click here:
brainly.com/question/14915368
#SPJ11
Ryan borrowed $725 at an interest rate of 6.25%. How much interest will be pay if it takes 2 years to pay off his loan?
Answer:
$830 sana maka tulong po salamatColin has 5 1/2 gallons of water available. How many 1/8 gallon water bottles can he fill with this water?
Answer:
44
Step-by-step explanation:
5 1/2 = 11/2 = 44/8
Subtract 1/8 from 44/8 until you finish the number all.
Two trains leave stations 240 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80
miles per hour. How long will it take for the two trains to meet?
Answer: get a verified 340
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of x+2y=−4 . Then plot the intercepts to graph the equation.
Answer: ( 0, -2 )
Step-by-step explanation:
y = mx + b
x + 2y = -4
2y = x - 4
_______
2 2
(y = - 2)
Answer:
(-4, 0) (0, -2)
Step-by-step explanation:
I took the K12 test I'm right guaranteed.
find the area of the surface obtained by rotating the given curve about the x-axis. x = 20 cos 3 ( θ ) , y = 20 sin 3 ( θ ) , 0 ≤ θ ≤ π 2
The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution
To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:
A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ
In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).
Plugging these values into the surface area formula and simplifying, we get:
A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ
Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.
Learn more about integral here: https://brainly.com/question/31433890
#SPJ11
Nina and Caricia click trading cards Nina has four packs of castle cards and five packs of hero cards Krisha has six packs of castle cards and four packs of hero cards each castle pack holds C cards and each little pack codes each cards right in expression with exactly 2 terms for the total number of cars Nina increaser have
The expression used to represents the total number of cards with Nina and Krisha is given by 10C + 9H.
Let us denote the number of cards in each castle pack by C.
And H is the number of cards in each hero pack.
Number of castle cards with Nina = 4C
Number of hero cards with Nina = 5H
Number of castle cards with Krisha = 6C
Number of castle cards with Krisha = 4H
Total number of cards with Nina
= Number of castle cards + hero cards
= 4C + 5H
Total number of cards with Krisha
= Number of castle cards + hero cards
= 6C + 4H
Total cards for both ( Nina and Krisha )
= (4C + 5H) + (6C + 4H)
= 10C + 9H
Therefore, the total number of cards that Nina and Krisha have together is 10C + 9H.
learn more about cards here
brainly.com/question/7818824
#SPJ4
The above question is incomplete , the complete question is:
Nina and Krisha click trading cards Nina has four packs of castle cards and five packs of hero cards. Krisha has six packs of castle cards and four packs of hero cards. Each castle pack holds C cards and each little pack codes each cards. Write an expression with exactly two terms to represents total number of cards Nina and Krisha have together?
Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45find the gradient of this
(10 points) Give the design of a counter. Use five JK flip/flops. Assuming the value inside the counter is 00100, what will be the value of the counter after two clock ticks
This is because each clock tick will cause the counter to increment by one, and the binary value of 00100 incremented twice becomes 00110.
To design a counter using five JK flip-flops, we can cascade them in a "ripple" configuration. The output of the first flip-flop will be connected to the clock input of the second flip-flop, the output of the second flip-flop will be connected to the clock input of the third flip-flop, and so on. The input to the first flip-flop will be the clock signal, and the J and K inputs of all five flip-flops will be connected to a common input (such as a switch or another logic gate) that can be used to set the initial value of the counter. Assuming the value inside the counter is 00100, after two clock ticks the value of the counter will be 00110.
Learn more about binary value here
https://brainly.com/question/30583534
#SPJ11