Answer:
[tex]g = \frac{111}{14} [/tex]
Step-by-step explanation:
[tex]111 = 14g[/tex]
[tex]14g = 111[/tex]
[tex]g = \frac{111}{14} [/tex]
Insta: 25k_kemIf $700 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the account after t years is Ant 700(1.03)^t.
Required:
a. Find the average rate of change per year of the total amount in the account for the first four years of the investment (from t= 0 to t= 4).
b. Find the average rate of change per year of the total amount in the account for the second four years of the investment (from t=4 to t=8)
c. Estimate the instantaneous rate of change for t =4.
d. The average rate of change per year of the total amount in the account for the first years of the investment â(from t= 0 to t=4â) is ___________â$
e. The average rate of change per year of the total amount in the account for the second years of the investment â(from t= 0 to t=4â) is_____________ â$
f. The instantaneous rate of change for t=4 is about â$_____________
Answer:
21.96 ; 24.72
Step-by-step explanation:
Given that :
Give the equation:
A(t) = 700(1.03)^t
A.)
Average rate of change over the first 4 years ;
(t=0 to t=4)
At t = 0
A(0) = 700(1.03)^0 = 700
A(1) = 700(1.03)^1 = 721
A(2) = 700(1.03)^2 = 742.63
A(3) = 700(1.03)^3 = 764. 9089
A(4) = 700(1.03)^4 = 787.856167
[(721 - 700) + (742.63 - 721) + (764.9089 - 742.63) + (787.856167 - 764.9089)] / 4
= 87.856167 / 4
= 21.96404175
= 21.96
Over the 2nd 4 years :
A(4) = 700(1.03)^4 = 787.856167
A(5) = 700(1.03)^5 = 811.49185201
A(6) = 700(1.03)^6 = 835.8366075703
A(7) = 700(1.03)^7 = 860.911705797409
A(8) = 700(1.03)^8 = 886.73905697133127
[(811.49185201 - 787.856167) + (835.8366075703 - 811.49185201) + (860.911705797409 - 835.8366075703) + (886.73905697133127 - 860.911705797409)] / 4
= 98.88288997133127 / 4
= 24.72
5 3/4 x 2 1/6 ayuda por favor
Which expression is equivalent to
Answer:
C
Step-by-step explanation:
16 times 0.5x equals 8x.
16 times -0.75 equals -12y, so this means A and D are incorrect.
16 times 2 is 32, so this means that B is wrong, for you must multiply each number in the parentheses by 16.
Hope that helps :)
B
C
x
50°
A
D
ABCD is a rectangle.
AC and BD are straight lines.
The angle between AC and BD is 50°.
Work out the size of the angle marked x.
Answer:
The answer is : x = 130 degrees
Which equation is not a polynomial.
A.-sqrt(2)
B.-3x^2+xy-2y^2
C.x^/y +3xy -2y^2/x
D.sqrt(2a^2)-4xy-2x^2y^2
E.5x^-2 +x^-1 y-2
8. Chelsea ate 0.2 of a pound of
chocolate cake at her birthday
party. Her friend Emily ate more
than her. Which decimal is more
than 0.2?
A.0.3
B. 0.19
C.0.11
a. vhysyfjgjjchddyyf if if hjd
NEED HEPL ASAP. If mZPOQ = 19, and mZQOR = 31
and mZROS = 15, what is mZPOS?
Answer:
65
Step-by-step explanation:
just to sum all the given measurements:
19+31+15=65.
The point is (8,9) is a solution to this system
Answer:
False
Step-by-step explanation:
I got that they intercepted at (10.857,0.4286)
y=1/2x-5
y=-3x+33
A group of eight individuals with high cholesterol levels were given a new drug that was designed to lower cholesterol levels. Cholesterol levels, in mg/dL, were measured before and after treatment for each individual, with the following results: Subject Before After 1 283 215 2 299 206 3 274 185 4 284 212 5 255 178 6 275 212 7 293 192 8 277 196 Can you conclude that the mean cholesterol level after treatment is less than the mean before treatment
It can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
Let the hypothesis be:
H₀: The difference in the mean is less than or equal to 0.
H₁: The difference in the mean is greater than 0.
Here, the sample size, n = 8.
Assume, α = 0.05.
First, find the mean of the differences.
[tex]\bar{d}=\frac{(283-215)+(299-206)+...+(277-196)}{8}[/tex]
[tex]=79.375[/tex]
Now, the standard deviation of the difference is:
[tex]s_d=\sqrt{\frac{(68-79.375)^2+...+(81-79.375)^2}{8-1}}[/tex]
[tex]=13.3838[/tex]
The t value is:
[tex]t=\frac{\bar{d}}{\frac{s_d}{\sqrt{n}}}[/tex]
[tex]=16.7745[/tex]
Now, the degree of freedom is 8 - 1 = 7.
The p-value corresponding to this is 0.0005, which is less than the value of 0.05.
So, reject H₀.
Hence, it can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
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Find the discriminant and the number of real roots for this equation.
x²+2x+7=0
O A. -24; one real root
B. 28; two real roots
C. -24; no real roots
D. 28; one real root
SUBMIT
Answer:
C. -24 no real roots
Step-by-step explanation
I need help with this I don't understand it best answer gets brainly
Answer:
2.638, 3.16, 3[tex]\frac{7}{11}[/tex], [tex]\frac{73}{20}[/tex]
Step-by-step explanation:
Convert all the numbers as a decimal, this will make it easier to determine which value is greater or not.
Have a great day :)
Answer:
Hey:) Answer is below!
Step-by-step explanation:
Okay so the easiest thing I would do for each of these would be first to simplify them. So for the first one, 73 divided by 20, you could either do it on a calculator or just by long division. As a result, 73 divided by 20 is 3.65. The next two numbers, 2.638 and 3.16 are simplified, so you're good! Now lastly we got a mixed fraction. What you would do first, would be to multiply the left farmost number (in this case, 3) by the bottom number (which is 11). After that you would add the product of 3 and 11 (that would be 33) by 7. 33 plus 7 is 40. Finally, your number would be 40 over 11. Divide 40 by 11 (on a calculator or by long division) and you get 3.63. Now look at all your numbers, it should look like this: 3.65, 2.638, 3.16, 3.63
After that look at the number before the point (that would be 3 in the first one, 2 in the second, 3 in the third, and 3 in the fourth number). You see which one would be the smallest, and in this case it would be the second number, 2.638. So 2.638 goes first. Then look at the first number after the point for the last three numbers (that would be 6 for the first, 1 for the third, and 6 for the fourth). 1 in the third number is the smallest, so next goes 3.16. (This is the order for now: 2.638, 3.16)
Finally look at the second number after the point for the last two numbers (that would be 5 for the first and 3 for the fourth) 3 in the fourth number is the smallest, so next goes 3.63
As a result, you get this order from smallest to largest:
2.638,3.16, 3 7/11, 73/20
Good luck:))
(11 - 3) x [ 15 + (10 - 5)] write 3 steps using pemdas
Answer:
160
Step-by-step explanation:
HELP NOWWWWW PLEASEEEEE
How many 1/3's are in 1 and 2/3?
Answer:
5 thirds
Step-by-step explanation:
Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0
Therefore, 5x1/3=5/3=1 2/3
Answer:
This guy is wrong. 1 2/3 is equal to 5/3. But that is not the answer(like that dummy above said)
The Question is asking "How many 1/3's are in 1 2/3" (5/3)
The answer is 5, not 5/3's.
Click here to read aloud.
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
please answer asap with explanation qwq
Answer:
1. 55%
2. 190%
Step-by-step explanation:
1a. set up an expression.
33/60 = x/100
33 out of 60 is the 33 pounds out of the 60 weight limit. The x is what you're solving for, and the 100 is the given percent, because the percent is always going to be out of 100%.
1b. do cross multiplication; so do 33*100, which equals 3300
1c. divide; 3300 divided by 60, which equals 55.
For the second problem, do the same thing. your expression should be 114/60 = x/100
solve for x.
help pls im stressed
Dont be Stressed Im here
X=6
Plz, Help me! I will give a point if you help answer! with 5 star rating, Thanks, and Brainliest!
Answer:
-4/10+(-7/10)= -1 1/10(the bottom left one)
Step-by-step explanation:
starts from 0 and subtract 4/10. From there you subtract 7/10 more.
I need help with this.
Answer:
Hypotenuse equals 6 and Y (longer leg) equals 3 square root of 3
Step-by-step explanation:
According to the 30-60-90 triangle rule, The hypotenuse is always 2 times greater than the shortest leg, and the longer leg is always the square root of 3 tie greater than the shortest leg.
Kevin has 1,066 trading cards. Each album holds 26 cards. How many albums does Kevin need to hold all his cards?
Answer:
41
Step-by-step explanation:
Ok so you would divide 1,066 by 26 which would equal 41. Have a great day!
Find the rate of $740 for 5 pounds
Answer:
Each $148 = 1 pound.
Step-by-step explanation:
I need help with this please
15. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. What percentage of the time does Ellen’s commute take less than 14 minutes?
(a) 0.8%
(b) 1.1%
(c) 1.6%
(d) 98.3%
(e) 99.2%
16. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. What percentage of the time does Ellen’s commute take between 14 and 36 minutes?
(a) 0.8%
(b) 1.1%
(c) 1.6%
(d) 98.3%
(e) 99.2%
17. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. What is the 80th percentile for Ellen’s driving times?
(a) -0.84
(b) 0.84
(c) 3.9
(d) 25.8
(e) 28.9
18. Ellen records the time it takes for her to commute to work on 100 consecutive mornings and finds that the times are approximately Normally distributed with a mean of 25 minutes and a standard deviation of 4.6 minutes. On Tuesday, it takes 19 minutes to get to work. What is the z-score for her commute that day?
(a) -6.0
(b) -1.30
(c) -0.77
(d) 0.77
(e) 1.30
Find the rate of change in a table
Answer:
excuss me where the picture
Step-by-step explanation:
6. For a trip to the beach, Kelly drove for 5/6 hour and Joshua drove for 2/5 hour. How much longer did Kelly drive than Joshua? Find the exact amount.
The number of hours Kelly drove longer than Joshua is 13/30 hours.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The number of hours driven by Kelly.
= 5/6 hours
The number of hours driven by Joshua.
= 2/5 hours
Now,
The difference between the number of hours driven by Kelly and Joshua.
= 5/6 - 2/5
= (25 - 12)/30
= 13/30
Thus,
Kelly drove 13/30 hours longer.
Learn more about fractions here:
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PLEASE HELP I WILL GIVE BRAINLEST!!
Answer:
8 1/8
Step-by-step explanation:
I used a calculator....
(hope this helps :P)
Pls I need help I will mark Brainly
Answer:
(10⁰x 10¹ x 1¹⁰)< (10⁰ + 10¹x 1¹⁰)<(10⁰ + 10¹ + 1¹⁰)< (10 x 10¹)
Step-by-step explanation:
increasing order-
(10⁰x 10¹ x 1¹⁰)
(10⁰ + 10¹x 1¹⁰)
(10⁰ + 10¹ + 1¹⁰)
(10 x 10¹)
5
B
C
Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the [? ]-axis,
then translate
(x+[ ], y+[ ]).
Note: Enter x ory for axis.
4
3
2
D
H
4
813
2
1
0
4
6
7
Answer:
Step-by-step explanation:
Reflect over the Y axis, then translate (x+[-2], y+[-3])
The composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].
What is geometric transformation?Change is referred to as transformation. As a result, a geometric transformation entails making modifications to any geometric shape.
Vertices of the quadrilateral ABCD having coordinate A,B,C,D are (-5, 2),(-3, 4), (-2, 4),(-1, 2) respectively.
The image quadrilateral A'B'C'D' is formed by reflecting the supplied quadrilateral ABCD across the x-axis.
The rule for a point's reflection across the x-axis is:
(x, y) → (x , -y)
The picture point A' coordinates will be,
A(-5, 2) → A'(-5, -2)
Point E is produced by translating point A', as shown in the diagram. The rule for translating a point by h units right and k units up is as follows:
A'(x+h, y+k) → E(x', y')
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That is to say, the translation rule will be:
[(x + 6), (y + 1)]
Hence, the composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].
To learn more about the geometric transformation, refer:
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what is 550 x 34 ?????
Answer:
18,700
Step-by-step explanation:
Answer:
18,700
Step-by-step explanation:
i hope this helps
Order of operations. Need to find the unknown number. Help?
8 + 2 x 5 = m
9 - 7 + 2 = k
7 x 8 - 6 = g
16 + 4 divide 2 = s
12 - 6 divide 2 = y
36 divide 6 + 13 = f
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
Lauren has a purse full of dimes and quarters. She has 25 less dimes than quarters. If she has a total of $10.45, which system of equations would she write to find the number of dimes, d and quarters, q?
Answer:
D(0.10) + Q(0.25) = 10.45
Q = D + 25 (or Q - D = 25)
Step-by-step explanation:
D = number of dimes
Q = number of quarters
D(0.10) + Q(0.25) = 10.45
Q = D - 25 (or D - Q = 25)
We multiply the number of dimes she has by $0.10, because that is the worth of each dime, and we multiply the number of quarters she has by $0.25 because that is the worth of each quarter. We then set that equal to $10.45, the overall value of her coins.
Because she has 25 less dimes than quarters, the number of dimes she has should be 25 less than the number of quarters she has. So the number of quarters she has should be equal to the number of dimes she has plus 25.
(5/12 - 1/4) ÷ (1/3 + 1/16)
Answer:
8/9 = 0.421052632
Step-by-step explanation:
(5/12 - 1/4) / (1/3+1/16)
Least common multiple of 12 and 4 is 12. Convert 5/12 and 1/4 o fractions with denominator 12.
5/12 - 3/12 / 1/3+1/16
Since 5/12 and 3/12 have the same denominator, subtract them by subtracting their numerators.
5-3/12 / 1/3+1/16
Subtract 3 from 5 to get 2.
2/12 / 1/3+1/16
Reduce the fraction 2/12 to lowest terms by extracting and canceling out 2.
1/6 / 1/3 + 1/16
Least common multiple of 3 and 16 is 48. Convert 1/3 and 1/16 to fractions with denominator 48.
1/6 / 16/48 = 3/48
Since 16/48 and 3/48 have the same denominator, add them by adding their numerators.
1/6 / 16+3/48
Add 16 and 3 to get 19.
1/6 / 19/48
Divide 1/6 by 19/48 by multiplying 1/6 by the reciprocal of 19/48
1/6 x (48/19)
Multiply 1/6 times 48/19 by multiplying numerator times numerator and denominator times denominator.
1 x 48/6 x 19
Do the multiplications in the fraction 1 x 48/6 x 19
48/114
Reduce the fraction 48/114 to lowest terms by extracting and canceling out 6.
8/19