A. The growth of the bank account is a linear function because it has a constant slope and common difference.
B. A function f(t) to represent the value of the account after t months after Janice opened her account is f(t) = 140t + 1660.
C. The predicted value of the account in July of the same year is $2640.
How to determine the type of function?In order to determine the type of function that can be used to describe the growth of the bank account after a specific number of months, we would have to determine the common difference as follows;
Common difference, d = a₂ - a₁ = a₃ - a₂
Common difference, d = 1940 - 1800 = 2080 - 1940
Common difference, d = 140 = 140 (it is a linear function).
Part B.
At data point (1, 1800) and a slope of 140, a linear function for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1800 = 140(x - 1)
y = 140x - 140 + 1800
y = 140x + 1660 ≡ f(t) = 140t + 1660.
Part C.
Lastly, we would determine the predicted value of the account in July of the same year as follows;
f(t) = 140t + 1660.
f(7) = 140(7) + 1660.
f(7) = 980 + 1660.
f(7) = $2640.
Read more on point-slope here: brainly.com/question/24907633
#SPJ1
You buy a baseball card that goes up in value each year at 12%. You original bought the card for $25. How much will it be worth in 10 years?
Answer:12 to 25 yrs
Step-by-step explanation:
convert 12% to a decimal
the value of the 7 in 0.076 is 1/10 the value of the 7 in 2.79
Answer:
true
Step-by-step explanation:
the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place
I agree...................
Can someone solve point-slope lines and show work? I’m confused
Answer:
Option (2)
Step-by-step explanation:
Equation of a line passing through a point (x', y') and slope 'm' is given by,
y - y' = m(x - x')
From the question in the picture attached,
Slope of the line 'm' = \(-\frac{7}{10}\)
Line passes through a point (80, -71).
Equation of the line will be,
y + 71 = \(-\frac{7}{10}(x-80)\)
y = \(-\frac{7}{10}x+56-71\)
y = \(-\frac{7}{10}x-15\)
Option (2) will be the answer.
Alfredo purchased the following for breakfast:
3 bacon's at $.65 each
1 egg for $1.45
2 apple juice at $1.50 each
What was the total price in dollars and cents Alfredo paid for his breakfast?
Answer:
$6.40
Step-by-step explanation:
You would multiply
1. 3 x $.65 = $1.95
2. $1.45
3. 2 x $1.50 = $3
Total = $6.40
5. To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. Which is the slowest average rate, in minutes per mile, Nora could run to qualify for the state cross-country championships?
a) 7.2 b) 7.4 c) 7.5 d) 7.8
Nora could run 7.5 minutes per mile to qualify for the state cross-country championships. The correct answer is option c.
To qualify for the state cross-country championships, Nora needs to run 4 miles in 30 minutes or less. So, her average rate should be:
average rate = total time / total distance
If she runs at the slowest rate possible to still qualify, then her average rate would be:
average rate = 30 / 4 = 7.5 minutes per mile
Therefore, the correct option is c) 7.5.
If she runs slower than this average rate, then her total time would exceed 30 minutes and she would not qualify.
To know more about average rate refer to-
https://brainly.com/question/29383345
#SPJ11
which expression is equivalent to
Answer:
1/36
Step-by-step explanation:
6^-1 is the same as 1/6,
1/6^2 is 1/36
Answer:
1/36
Step-by-step explanation:
have a good semester
PLEASE HELP
Connor and Angie helped take attendance during their school's practice
fire drill. Connor counted 470 in attendance and Angie counted 479. The
actual attendance was 470. What is the percent error? (ROUND TO THE
NEAREST TENTH.) *
0.019
1.2%
1.9%
12%
Answer: 1.9%
Step-by-step explanation:
The percent error formula is \(\frac{accepted-experimental}{accepted}\) so input our values also keep in mind when we do percent error we use absolute error which means no negative percentages so 470-479/470= -9/470 or 9/470
as a decimal 9/470 is 0.019 or 1.9% so the answer is 1.9%
Simplify.
-2(-3y+v) + 2(-4x+y)
Answer:
answer is this =8y-2v-8x
Step-by-step explanation:
Answer:
8y - 2v - 8x
Step-by-step explanation:
-2(-3y + v) + 2(-4x + y)
~Distribute
6y - 2v - 8x + 2y
~Combine like terms
8y - 2v - 8x
Best of Luck!
Dude this should be so easy but this is going in one ear and out the other how do I do this send help
Answer:
0.5 hours
Explanation:
Given:
speed: 17 miles/hourdistance: 8 milesFormula:
time taken = distance ÷ speedSolve:
time taken = 8 ÷ 17 = 0.4706 ≈ 0.5 hours (rounded to nearest tenth)does someone mind helping me with this problem? Thank you!
Answer:
Step-by-step explanation:
the slope is : -2
The set of ordered pairs shown below is a relation that is a function of x. {(1, 3), (2, 4), (3, 5), (4, 6)} Which ordered pair could be included in the set so that the relation remains a function of x?
A (3, 3)
B(1,6)
C (4,7)
D (0,4)
Answer:
D (0,4)
Step-by-step explanation:
You want to know an ordered pair that could be added to the given relation such that it remains a function.
FunctionA function cannot have any two ordered pairs that have the same x-value. The given relation has x-values {1, 2, 3, 4}, so none of these can be repeated if the relation is to remain a function.
The only choice with a different x-value is ...
D (0, 4)
__
Additional comment
The set of x-values is the "domain" of the function. It cannot have any repeats. The set of y-values is the "range" of the function. Those values can be repeated.
A function that is "one-to-one" cannot have any repeated range values, either.
<95141404393>
If AB is the mid segment of XYZ, then find AB and x.
Answer:
AB=17
x=6
Step-by-step explanation:
2AB=XZ(mid-segment theorem)
AB=17
3x-1=17
3x=18
3x=18
x=6
Compare these rational numbers. Which of the following are true?
i. -2.3 - 1.3
ii. -2.3 -1.3
iii. -2.3> - 3.3
iv. -2.3 -3.3
a.ii and iv
b.ii and iii
c.i and iii
d.i and iv
The correct options for the given rational numbers are (a) ii and iv.
What are rational numbers?P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. The natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers.
To compare the rational numbers, we need to perform the given operations and determine their relative magnitudes:
i. -2.3 - 1.3 = -3.6
ii. -2.3 -1.3 = -3.6
iii. -2.3 > -3.3
iv. -2.3 -3.3 = -5.6
Comparing i and ii, we see that they are equal. Therefore, both options i and ii are true.
Comparing iii, we see that -2.3 is greater than -3.3. Therefore, option iii is true.
Comparing iv, we see that -5.6 is less than both -2.3 and -3.3. Therefore, option iv is false.
So, the correct options are (a) ii and iv.
Learn more about rational numbers on:
https://brainly.com/question/17572421
#SPJ1
can someone help with this
Answer:
y=-2/3
x=-20/3
Area of perimeter of composite figures puzzle question B.
Area and perimeter of figure be: 562.08 m² and 123.68 m
What is Area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The figure comprises of a parallelogram and semicircle.
1. For Area
Area of parallelogram = base x height
= 24 x 14
= 336 m²
Area of semicircle = (π x r²)/2
= (3.14 * 12 * 12)/2
= 226.08 m²
Total Area of the figure = 336+ 226.08 =562.08 m²
2. Perimeter
Perimeter of parallelogram= 2 (a+b)
= 2 (19 +24)
= 86 m
Perimeter of semicircle= π * r
= 3.14 * 12
= 37.68 m
Total Perimeter of the figure= 86 + 37.68 = 123.68 m
Learn more about perimeter and area is:
https://brainly.com/question/11957651
#SPJ1
help please!! due by the end of class!
Answer:
43˚
Step-by-step explanation:
If angle 5 is 134˚, then that means angle 2 must be 46.
Inside the triangle, we have three angles. A right angle of 90˚, angle 2 of 46˚ and the unknown angle 1. Since the total sum of the angles in a triangle must be 180, we can solve for angle 1:
180 = 90 + 46 + x
Therefore:
x = 43˚
Angle 1 is 43 degrees.
Hope this helps!
Find a value of the standard normal random variable z, call is z0, such that:a. P(z<=z0)=.05How would I solve this?
The question is:
\(P(z\le z_0)=0.05\)This means it is required to find the z-score for 0.05.
To do this, you have to refer to the Area Under Normal Distribution Table.
z-scores are given along the 1st column and 1st row.
The value 0.05 is the significance level. We have to find its corresponding confidence level. To do that, subtract from 0.5:
\(0.5-0.05=0.45\)The z-score for 0.45 is the same as the z-score for 0.05.
Check this or its approximate value in the table:
You'll see for 0.4495.
This falls on 1.6 under .04
Add them together to get 1.6+0.04=1.64
The z-score is 1.64.
Which of the following is a quantitative variable?
a) the texture of a rug
b) the breed of a dog
c) the numbers of toppings on a pizza
d) the colour of a person’s hair
C is the most accurate one i guess
Absolute wizards of y'all can figure this out
Answer:
B. 39
Step-by-step explanation:
45 - 4 + 2 - 7 - 1 + 3 + 1
39
Answer:
B would be the answer because
Step-by-step explanation:
I did the whole thing to the right answer
45-4=4141+2=4336-1=3535+3=3838+1=39Hence, the answer is 39 and the only answer on your quiz is B so your answer would be and always well be B (39)
PLZ JUST ANSWER HELP BRAINLY PLZ NO IGNORE ME))):
Answer:
3.5
Step-by-step explanation:
7 is hypotenuse, and x is facing the 30 degree angle (bottom left corner) as this is a 30-60-90.
Rules of 30-60-90 say shortest side (30 degree) is x, and hypotenuse is 2x.
7/2 = 3.5
HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
\(y = \frac{k}{ {x}^{2} } \)
\(let \: x = 7 \\ let \: y = 3\)
\(3 = \frac{k}{ {7}^{2} } \)
\(3 = \frac{k}{49} \)
\(3 \times 49 = k\)
\(k = 147\)
\(y = \frac{147}{ {x}^{2} } \)
Next, you have to substitute the y value into the equation to find x :
\(let \: y = 18.375\)
\(18.375 = \frac{147}{ {x}^{2} } \)
\(18.375 {x}^{2} = 147\)
\( {x}^{2} = \frac{147}{18.375} \)
\( {x}^{2} = 8\)
\(x = ± \sqrt{8} \)
\(x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} \)
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
What is the literal equation V=1/3 πr^2h
Answer:
h=3V/πr^2
Step-by-step explanation:
V = 1/3πr^2h
V x 3/πr^2 = 1/3πr^2h x 3/πr^2
3V/πr^2 = h
h= 3V/πr^2
The regional park has a circular pond with a radius of 2 meters. What is the pond's circumference?
The circumference of the circular pond with a Radius of 2 meters is exactly 4π meters or approximately 12.56636 meters.
The circumference of a circular pond, we can use the formula:
Circumference = 2πr
Where "r" represents the radius of the pond and π (pi) is a mathematical constant approximately equal to 3.14159.
Given that the radius of the pond is 2 meters, we can substitute this value into the formula:
Circumference = 2π(2)
Simplifying the expression:
Circumference = 4π
Therefore, the circumference of the pond is 4π meters.
If we want to calculate an approximate numerical value, we can use the approximation of π as 3.14159:
Circumference ≈ 4 × 3.14159
Circumference ≈ 12.56636 meters
So, the approximate circumference of the pond is approximately 12.56636 meters. the circumference of the circular pond with a radius of 2 meters is exactly 4π meters or approximately 12.56636 meters.
To know more about Radius .
https://brainly.com/question/27696929
#SPJ11
Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coordinates of B'' on the final image?
(5, 6)
(5, –6)
(1, 2)
(1, –2)
The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given Figure BCDE, which is transformed using the composition rx-axis ◦ T2,2. Also, the coordinates of point B on the pre-image lies at (3, 4). Therefore, the coordinates of B'' on the final image will be,
rx-axis ◦ T2,2 (3,4)
= rx-axis ( T2,2 (3,4) )
= rx-axis ( 5,6 )
= (5, -6)
Hence, the correct option is B.
Learn more about Transformation:
https://brainly.com/question/11709244
#SPJ1
Lydia invests $1,100 in an account that earns interest at an annual rate of 5.5% compounded monthly.What is Lydia's return on investment after 2 years?
The rule of the compounded interest is
\(A=P(1+\frac{r}{n})^{nt}\)A is the new amount
P is the initial amount
r is the interest rate in decimal
n is the number of periods per year
t is the number of years
Since the initial amount is $1100, then
P = 1100
Since the interest rate is 5.5%, then
\(r=\frac{5.5}{100}=0.055\)r = 0.055
Since the interest is compounded monthly, then
n = 12
Since the time is 2 years, then
t = 2
Substitute them in the rule above to find A
\(\begin{gathered} A=1100(1+\frac{0.055}{12})^{12\times2} \\ A=1100(1+\frac{11}{2400})^{24} \\ A=1227.597324 \end{gathered}\)Lydia's return after 2 years is $1227.60 to the nearest cent
if 2:4=x:16 find the value of x
Answer:
x = 8 is the answer
Step-by-step explanation:
2:4 = x : 16
x = 8
Answer: 8
Step-by-step explanation:
given:
2:4=x:16
2×16= 4x
32/4 = x
x=8
Question 7
Hiroyuki surveyed 325 randomly chosen students asking how much time they spent getting ready for school in the morning. The average time spent was 26
minutes with a standard deviation of 5.8 minutes.
Use a 90% confidence interval to find the maximum error of the estimate of time spent getting ready for school. Round to the nearest hundredth
We can say with 90% confidence that the mean time spent getting ready for school is within
minutes of the sample mean time.
In a recent poll, 330 people were asked if they liked dogs, and 33% said they did. Find the margin of error of this poll, at the 99% confidence level Give your answer to three decimals
Margin of Error ≈ 0.066 (rounded to three decimal places).
Margin of Error ≈ 0.066 (3 decimal places).?To find the margin of error for a poll, we can use the formula:
Margin of Error = Z * (sqrt(p * (1 - p) / n))
Where:
Z is the z-score associated with the desired confidence level (in this case, 99% confidence level).
p is the proportion of respondents who answered positively (33% or 0.33).
n is the sample size (330).
First, let's calculate the z-score for a 99% confidence level. The z-score can be obtained using a standard normal distribution table or a calculator. For a 99% confidence level, the z-score is approximately 2.576.
Now, we can calculate the margin of error:
Margin of Error = 2.576 * (sqrt(0.33 * (1 - 0.33) / 330))
Simplifying the equation:
Margin of Error = 2.576 * (sqrt(0.33 * 0.67 / 330))
Margin of Error ≈ 2.576 * (sqrt(0.2171 / 330))
Margin of Error ≈ 2.576 * (sqrt(0.0006591))
Margin of Error ≈ 2.576 * 0.025677
Margin of Error ≈ 0.066113
Rounding to three decimal places, the margin of error is approximately 0.066.
Learn more about Margin of Error
brainly.com/question/29419047
#SPJ11
Which of the following information would best be displayed on a pie chart?
a) How much of a family’s monthly budget goes to groceries, housing, and entertainment.
b) How many times the phone rings in a 24-hour period.
c) The heights of the students in a class.
d) The rate of growth of a puppy the first year.
Answer:
A
Step-by-step explanation: