Answer:
10.6
Step-by-step explanation:
y=a(2)^t/d
Plug in
720=370(2)^t/11
Divide both sides by 370
1.945945946 = (2)^t/11
Log both
Log(1.945945946) / Log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
10.56518799 to the nearest tenth is 10.6 = t
It would take 10.6 years for the value of the account to reach $720.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.
As per the question, we can write an exponential function as:
[tex]y=a(2)^{t/d}[/tex]
Substitute the values of y = 720, a = 370 and d = 11 in the above equation:
[tex]720=370(2)^{t/11}[/tex]
Divide both sides by 370
[tex]1.945945946 = (2)^{t/11}[/tex]
Take logarithms on both sides of the equation,
log(1.945945946) / log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
t = 10.56518799
Rounded to the nearest tenth
t = 10.6
Thus, the required time would be 10.6 years.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ2
Martina is currently 18 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey . Use this information to answer the following questions.
If you let x represent Joey's current age, what expression can you use to represent Martina's? PLEASE HELP
current age?
Answer:
The age of Joey is 4 years and
The age of Martina is 22 years .
Step-by-step explanation:
Given as :
Martina is 18 years older than her Joey
In 5 years, Martina will be three times older than Joey
Let The age of Martina = M years
And The age of Joey = J years
Now, According to questions
M = J + 18 ........1
(M+5) = 3 × (J+5)
Or, M + 5 = 3 J + 15
Or, M - 3 J = 15 - 5
∴ M - 3 J = 10 ..........2
Solving eq 1 and 2
Put the value of M from eq 1 into eq 2
So, (J + 18) - 3 J = 10
Or, J - 3 J = 10 - 18
Or, - 2 J = - 8
∴ J =
i.e J = 4 years
So, The age of Joey = J = 4 years
Now, Put the value of J in eq 1
So, M = J + 18
Or, M = 4 + 18
∴ M = 22 years
So, The age of Martina = M = 22 years
Hence,The age of Joey is 4 years and The age of Martina is 22 years . Answer
Simplify the radical expression 4√13-6√13+10√13
Answer:
4√13-6√13+10√13= 24
Step-by-step explanation:
Answer:
8√13
Step-by-step explanation:
Jennifer sets her binoculars to enlarge objects 10 times their actual size. If the length of an ant is 0.52 inches, what is its length as seen through her binoculars?
Answer:
The length as seen through her binoculars is of 5.2 inches.
Step-by-step explanation:
The length of an ant is 0.52 inches, what is its length as seen through her binoculars?
The binocular is set to enlarge the object 10 times their actual size.
We have that the actual length is 0.52 inches.
0.52*10 = 5.2 inches
The length as seen through her binoculars is of 5.2 inches.
A man is 6 feet tall. At 1:00, he casts a shadow that is 18 inches long. A nearby tree is 32 feel tall. At the same time of day, how long is the tree's shadow?
The answer of this would be 8 feet long.
If you take 6 feet and put that into inches, the man would be 72 inches tall. at one oclock he casts a shadow that is 1/4 of his length. so if we take this knowledge to the tree and divide 32 feet by 4, we get 8 feet long
answer: 8 feet
Can someone help meeeee ??
Answer:
Bottom left graph, ∠a + ∠b = 180°, ∠a + ∠b = 90°, ∠a + ∠b = 90°
Step-by-step explanation:
For the first problem, we can look at the slope. The slope of the equation is negative. The line has to be similar to the bottom slant of the letter "K".
There are two lines that are similar and have the same y-intercept, so it's just a matter of which slope matches.
The slope is -1, so that means to find a different point we go down 1 and right 1.
The only point that's the same on the two lines are (0, 3).
When go down 1 and right 1, the point should be: (1,2)
The only line that satisfy this is the bottom left graph.
For problem 2, ∠a and ∠b must add up to 180°.
So the equation for problem 2 is: ∠a + ∠b = 180°
For problem 3, ∠a and ∠b are equal because they're opposite angles.
So the equation for problem 3 is: ∠a = ∠b
For problem 4, ∠a and ∠b must add up to 90°.
So the equation for problem 4 is: ∠a + ∠b = 90°
For problem 5, ∠a and ∠b must add up to 90°, since the other angle is 90°, which is half to 180°.
So the equation for problem 5 is: ∠a + ∠b = 90°
I need help with this please
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
if p and q are two different prime numbers then L.C.M is,
Rewrite the expression by combining like terms.
3y + 5x2 + 10x + 2x2 + 15x - 3y
2 + 2xy + 2x
3x2 + 3x + 6y
7x24
30x² + 6y² + y
Answer:
Factoring 3x2 - 2x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + 1 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1
3x2 - 3x + 1x - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-1)
Add up the last 2 terms, pulling out common factors :
1 • (x-1)
Step-5 : Add up the four terms of step 4 :
(3x+1) • (x-1)
Which is the desired factorization
Final result :
5xy2 • (x - 1) • (3x + 1)
Solve the system by substitution.
2x + 3y = 32
y = x + 9
Answer:
x=1 and y=10 (1,10)
Step-by-step explanation:
2+30=32
10=1+9
i will give you brainliest whoever answers correct first!!
Answer:
isn't it just 3
Step-by-step explanation:
isn't it just 3 bc there r only 3 students out of the entire class that doesnt play both instrument and sports
Answer:
12.5% chance
Step-by-step explanation:
There 24 students in total
When you divide the fraction out, you get 0.125. To turn that into a percentage, you simply multiply by 100. 0.125*100=12.5% you can check this by taking 12.5% of 24, which will give you an answer of 3.
What is the slope and y-intercept of the line whose equation is y + 4x =
8?
Answer:
The slope is -4 and the y-intercept is 8.
Step-by-step explanation:
y+4x=8
y=8-4x
y=-4x+8
y=mx+b where m=slope and b=y-intercept.
Hello!
The equation of this line is written in slope-intercept form (y=mx+b)
Where
m is the slope
b is the y-intercept
m is 4
b is 8
Hope it helps!
If you have any questions, feel free to ask! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
$4,900 is invested in an account earning 7.9% interest (APR), compounded daily.
Write a function showing the value of the account after t years, where the annual
growth rate can be found from a constant in the function. Round all coefficients in
the function to four decimal places. Also, determine the percentage of growth per
year (APY), to the nearest hundredth of a percent.
do 4.9k divided by 7.9 pie
2.
Chad drove 168 miles in 3 hours.
Part A
How many miles per hour did Chad drive?
Enter your answer in the box.
56
miles per hour
Part B
Chad will drive 672 more miles. He continues to drive at the same rate.
How many hours will it take Chad to drive the 672 miles?
Enter your answer in the box.
C
hours
Answer:
Part A) 56 mph
Part B) 12 hours
Step-by-step explanation:
Part A) 168/3 = 56 mph
Part B) 672/56 = 12 hours
hello please help 50 points and brainliest!!!
Answer:
sorry the image is not clear
HELP ASAP I WILL MARK BRAINLIST!!!!
Answer 25 degrees
Step-by-step explanation:
90-65 =25
Olive has a plastic container shaped like a cube to put slime in. She measures one side and finds that it’s 0.5 foot long. Use the formula V = s3 to determine how many cubic feet of slime will fit in her container. PLEASE HELP!
Answer:
0.125 cubic feet
Step-by-step explanation:
Since the container has a shape of a cube with a measure of its side 0.5 ft, then;
Volume of the container, V = [tex]s^{2}[/tex]
where s is the measure of its side.
s = 0.5 ft, then;
V = [tex](0.5)^{3}[/tex]
= 0.125
V = 0.125 cubic feet
The cubic feet of slime that would fit in the container is 0.125.
A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?
Answer:
15 rides
Step-by-step explanation:
Subtract $7 from $29.50
and then divide what you got ($22.50) from $1.50
What’s the meaning of elimination in English?
[tex] \huge \sf \ \star \purple{Answer} \star[/tex]
the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body
the act, process, or an instance of eliminating or discharging: such as. a : the act of discharging or excreting waste products from the body.
orElimination is the process of getting rid of something, whether it's waste, errors, or the competition. Elimination comes from the Latin word limen, which means threshold. The Romans added an “e” to the beginning and created the verb eliminare, which means to banish or to push over the threshold and out the door.
[tex] \huge{ \bf \color{red}{hope \: it \: helps}}[/tex]
Find the surface area of the following prism:
6 m
6 m
10 m
7.2 m
4.8 m
Answer:
172.8m³
Step-by-step explanation:
1/2(7.2)(4.8)(10)=172.8m³
See picture. Please show work
Answer:
its the last one i had this question like 5 days ago i am sure
Answer:
option b) is not similar but they have ( mid point theorem) EF parallel to vu
and half of UV
Mia buys 4 ¼ pounds of plums. Her total cost after using a coupon for 55 cents off her entire purchase was $3.23. Write an equation to represent this situation.
Try to answer these
What is the total?
What will make the total - in words (be precise)
Write the words out as an equation
What don’t you know?
Write the algebraic equation.
Answer: I tried to help but i just got confused
Sorrry I didnt know the answer
THIS IS SO BAD RN SMH HELP ME WITH ANOTHER MATH SOLVING
4 x 3 x 4 x 9 + 3 - 20
Answer:
=415
Step-by-step explanation:
The girl in that picture is so pretty oml so if its you then you pretty a.ff
1.
Which of the following statements are true? Select All that apply.
A. Two angles that have a combined measurement of 90° are supplementary.
B. Two angles that have a combined measurement of 180° are supplementary.
C. Two angles that share a side and a vertex are considered adjacent.
D. Two angles that are created by two intersecting lines with a shared vertex, no
shared side, and are opposite each other are considered vertical.
E. Vertical angles do NOT have the same angle measurement.
Answer:
B C D
Step-by-step explanation:
2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?
A: 15 B: 112 C: 1/122 D: 1/15
Answer:
D. 1/15
Step-by-step explanation:
Actual tree = 10 ft = 12 × 10 = 120 in.
Model tree = 8 in.
Scale factor = model tree/actual tree
Scale factor = 8/120
Scale factor = 1/15
22. According to ghost hunters, large cities have, on average, 9 haunted houses each. As far as we know, it is unpredictable which houses will be haunted; and just because one house is haunted, that does not mean any of its neighbors will or will not be haunted. a) What is the standard deviation of the number of haunted houses in a large city
Answer:
The standard deviation of the number of haunted houses in a large city is 3.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval, which is the same as the variance.
According to ghost hunters, large cities have, on average, 9 haunted houses each.
This means that [tex]\mu = 9[/tex]
a) What is the standard deviation of the number of haunted houses in a large city?
Square root of the variance, so:
[tex]\sqrt{9} = 3[/tex]
The standard deviation of the number of haunted houses in a large city is 3.
Consider randomly selecting a student who is among the 12,000 registered for the current semester in a college. Let X be the number of courses the selected student is taking, and suppose that X has the following probability distribution: x 1 2 3 4 5 6 7 f(x) 0.01 0.02 0.12 0.25 0.42 0.16 0.02 a. Find the cdf of X. b. Find the expected number of courses a student is taking this semester. c. Find the variance of X. d. Find the third quartile of this distribution.
Answer:
a)
[tex]P(X \leq 1) = 0.01[/tex]
[tex]P(X \leq 2) = 0.03[/tex]
[tex]P(X \leq 3) = 0.15[/tex]
[tex]P(X \leq 4) = 0.40[/tex]
[tex]P(X \leq 5) = 0.82[/tex]
[tex]P(X \leq 6) = 0.98[/tex]
[tex]P(X \leq 7) = 1[/tex]
b)
4.61
c) 1.1579
d) 5 is the third quartile of this distribution.
Step-by-step explanation:
We are given the following discrete distribution:
[tex]P(X = 1) = 0.01[/tex]
[tex]P(X = 2) = 0.02[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.42[/tex]
[tex]P(X = 6) = 0.16[/tex]
[tex]P(X = 7) = 0.02[/tex]
a. Find the cdf of X.
Probability of X being less of equal to x. Than
[tex]P(X \leq 1) = P(X = 1) = 0.01[/tex]
[tex]P(X \leq 2) = P(X = 1) + P(X = 2) = 0.01 + 0.02 = 0.03[/tex]
[tex]P(X \leq 3) = P(X \leq 2) + P(X = 3) = 0.03 + 0.12 = 0.15[/tex]
[tex]P(X \leq 4) = P(X \leq 3) + P(X = 4) = 0.15 + 0.25 = 0.40[/tex]
[tex]P(X \leq 5) = P(X \leq 4) + P(X = 5) = 0.4 + 0.42 = 0.82[/tex]
[tex]P(X \leq 6) = P(X \leq 5) + P(X = 6) = 0.82 + 0.16 = 0.98[/tex]
[tex]P(X \leq 7) = P(X \leq 6) + P(X = 7) = 0.98 + 0.02 = 1[/tex]
b. Find the expected number of courses a student is taking this semester.
Multiplication of every outcome by its probability.
[tex]E = 0.01*1 + 0.02*2 + 0.12*3 + 0.25*4 + 0.42*5 + 0.16*6 + 0.02*7 = 4.61[/tex]
c. Find the variance of X.
Multiplication of the squared subtraction of each value and the mean, multiplied by its probability. So
[tex]V = 0.01*(1-4.61)^2 + 0.02*(2-4.61)^2 + 0.12*(3-4.61)^2 + 0.25*(4-4.61)^2 + 0.42*(5-4.61)^2 + 0.16*(6-4.61)^2 + 0.02*(7-4.61)^2 = 1.1579[/tex]
d. Find the third quartile of this distribution.
100*(3/4) = 75th percentile
The cdf passes 0.75 when X = 5, so 5 is the third quartile of this distribution.
cual es la diferencia entre divisor y divisible
Find the area.
A. 1100 m2
B. 533 m2
C. 1066 m2
D. 338 m2
Answer:
533m
Step-by-step explanation:
41x26 divide by 2
A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.
Area of triangle = (1/2) × base × height
Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.
Now, the area of the triangle DNE is,
Area of triangle = (1/2) × base × height
Area of ΔDNE = (1/2) × 41 meters × 26 meters
= 533 meters²
Hence, the area of the ΔDNE is 533 meters².
Learn more about Triangle here:
https://brainly.com/question/2773823
#SPJ2
Solve for the unknown in the following diagram. Round the answer to two decimal places.
cm
Answer:
Step-by-step explanation:
in a grocery store, a $21 case of toilet paper is labeled, “get a 20% discount” what is the discount? what is the sale price of the toilet paper?
Answer:
$16.8
Step-by-step explanation:
put 20% into decimal form 20/100 = 0.2
0.2 x 21 = $4.2
21-4.2 = $16.8
The Discount will be "$4.2" and the Sale price will be "$16.8".
According to the question,
Labeled case of toilet paper,
$21Get discount,
20%or,
0.2Now,
→ 20% of $21 will be:
= [tex]0.2\times 21[/tex]
= [tex]4.2[/tex] ($) (Discount)
→ The sale price will be:
= [tex]Labeled \ case - Discount[/tex]
By substituting the values, we get
= [tex]21-4.2[/tex]
= [tex]16.8[/tex] ($)
Thus the above approach is right.
Learn more:
https://brainly.com/question/11672774